diff --git "a/data/dm_maths/full_data_2/1140_11255.jsonl" "b/data/dm_maths/full_data_2/1140_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1140_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(f) = -f**2 - 7*f - 2. Let d be z(-5). Suppose d*a - 307 = 13. What is the remainder when (1 - -4 - 9) + a is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8029554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570870 is divided by 1622.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 17*l**2. Let f(g) = -689*g + 2. Give z(f(m)).\nAnswer: 8070257*m**2 - 46852*m + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*s + 7680 = 251*s. What is the greatest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68) - (sqrt(68) - (-2 + 2 + sqrt(68))**2))*-2 + (sqrt(68) + -4 + (sqrt(68) + -3)**2 + sqrt(68) - 4*(sqrt(68) - sqrt(68)*2)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*a - 61 + 80, -3 = 3*a + 3*z. Solve -2*u - a*u = -3*j + 20, -2*u - 3*j = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.859 + 0.078?\nAnswer: 0.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2632527632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173961689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638430329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 106 + 10. Let h(q) = -q**2 + 2*q + 14. Let l be h(t). Determine j so that 7\/2*j**3 + 0 - 2*j - l*j**2 = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 4. Let v be g(7). What is the highest common factor of 54 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*x + 22 = 0, 3*i - 2*x - 47 = -x. What is the smallest common multiple of (i - 0)\/((-2)\/36*-3) and 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3)*(-3)\/18*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**7\/1260 - i**5\/30 - 3*i**4\/2 - 11*i. Let u(w) be the third derivative of r(w). What is the derivative of u(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.9 - 34.9. Which is the fourth smallest value? (a) k (b) 1 (c) -1\/4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 3253*w = 17*r - 3255*w - 12, -5*w + 16 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/18 and 71\/2349974?\nAnswer: 21149766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 688\/12*3\/(-2). Let g be f\/(-14) + 5\/(-35). Let u(x) = 15*x + 2. What is the units digit of u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1421)\/(-3906) - 66\/308*7\/6 and 65\/744.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-5) - (-1)\/5. Let z(s) = 5*s**2 - 4*s + 2. Let u(t) = -4*t**2 + 3*t - 1. Let y = -5 - -4. Let c be 8 + (-3 - y) + -2. Determine c*u(q) + h*z(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*(-11 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from pnznppzzppnzzzn.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 11*f - 8*f + 3 + 29*f + f**2 - 3*f. Suppose -3*o - o + 60 = 0. Suppose 60 - o = -5*b. Calculate u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(6\/(-4) - 0). Suppose -3*h = -0*h - 39. Let z = h + -16. Are q and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 4*k**2 + 3. Let z be (-4*1)\/(1 + 0). What is the units digit of q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 21 = -5*y, y + 89 = 3*h + 101 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6277.\nAnswer: 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8478652 nanometers to centimeters.\nAnswer: 0.00000008478652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13376 in 0, 0.3, 0.4, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 245457397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1183985 - 2533728003\/2140. Calculate the common denominator of t and 25\/14.\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)*t**7*t*(t**(-5\/3)*t)\/((t\/(t\/t**(-6\/7))*t)\/t*t))**(3\/26) assuming t is positive.\nAnswer: t**(-19\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/(-6) - 2)\/((-3)\/(-36)). Let n = w + -44. Which is the closest to -0.4? (a) n (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -13 + (4 - 2) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/6 and -63\/295.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219 + -2389612.\nAnswer: -2389393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30618 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/198 and 19\/60?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - m - 2)*(-4*m**3 + 3*m**3 + 4*m**3) + 530*m**4 + 3*m - 2 - 524*m**4 + 4.\nAnswer: 3*m**4 + 9*m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/17, 8\/75, 26, 0.4, -2 in descending order.\nAnswer: 26, 0.4, 2\/17, 8\/75, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*d**3*g*k - 2*d**3*k*t - 191*d**3*k + 7*d**3 - 4*d**2*g*t + 2*d**2*t - 4*g*k - k*t wrt g.\nAnswer: -50*d**3*k - 4*d**2*t - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1920*j - 47 + 47 + 554*j - 1391*j as l + b*j and give b.\nAnswer: -2757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3)\/((-90)\/(-135))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 321292640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210000030 (base 4) to base 11.\nAnswer: 25a825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76111574*f**2 - 51362365*f?\nAnswer: 152223148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*p + 1 + 23 = 0, 0 = 3*a + 3*p - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/191044 and -22\/429849?\nAnswer: 1719396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206817 = 34*c + 206477 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18934847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let s(z) = -z**3 - z**2 + 2. Let t be s(0). Suppose -t*o + 38 = -2*q, 0 = -4*o + q + 119 - 34. Let f = o - 19. What is x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -25, 11, -91, -23 in increasing order.\nAnswer: -91, -25, -23, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*8\/6*12\/(-88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25277592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3779 or 3776?\nAnswer: 3779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c - 21. Let o be d(4). Let v(n) = n**2 + 20*n - 66. Is 19 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 140 - 152 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, 2 in decreasing order.\nAnswer: 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 + 2*u. Let o(f) = -5*f**3 - 38*f**2 + 12*f + 1. Calculate 6*h(a) - o(a).\nAnswer: -a**3 + 32*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 267007 divided by -20539\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1354 - 0?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -2\/15 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 930737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -733266 divided by -2202.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 167 * -0.05\nAnswer: -8.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/175*130\/(-52)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 111692, 223382, 335068, 446744, 558404, 670042?\n\"Answer: -l**3 + 4*l**2 + 111685*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 2*a**4 - 11*a**2 + 15*a**2 - 4 - 6*a**2 as x*a**3 + m*a + l*a**2 + h + r*a**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 66444 = 64866. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, i: 2, v: 1, m: 2, y: 4}. Give prob of picking 1 y, 1 v, and 2 i.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51 - -d?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695569620.\nAnswer: 2, 3, 5, 17, 681931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162\/31, -0.06, -387.\nAnswer: -387, -162\/31, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 - 219. Let t = c - -108. Suppose t = 30*k - 28*k. Solve 1 = -3*w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 52726374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 3*n + 1. Let d be o(-4). Suppose d*q - 10 = 4*q. Suppose 0 = q*r - 15*r + 115. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 28*a + 2. Give z(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*p**3 + 1271*p**2 + 2 wrt p?\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211*n**4 - 2*n**3 + 3*n**2 + 604*n - 1 wrt n.\nAnswer: 2532*n**2 - 12*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45559418 a multiple of 2967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.778362cm in meters?\nAnswer: 0.02778362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 36*y**2 + y + 66. Let u be d(-36). Calculate the highest common factor of u and 585.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26230564 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*w = -30, -3*i - 10 = 117*w - 113*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -18. Suppose 12145 = i + 12135. Let z = i + k. Solve -z = q - 6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14800.59127 + 74.16?\nAnswer: -14726.43127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 10\/12. Let o = 1317 - 1317.2. Sort o, y, 3, 6\/13 in descending order.\nAnswer: 3, 6\/13, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 4*f + 2. Let r(a) = -a**3 - 14*a**2 - 14*a - 10. Let i be r(-13). Let u be t(i). What is the highest common divisor of 55 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15191\/10 + 1513. What is the common denominator of -173\/90 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3753 > -3753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11854 (base 9) to base 3.\nAnswer: 101221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4239*b + 21298. Calculate d(5).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e30ac + -3?\nAnswer: e30a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3\/6 + 3*d**2\/2 - d. Let s be x(-3). Solve 5*p - 3*q = -s*q + 17, -p = -2*q - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-630)\/2448 - (-14)\/(-119). Suppose -3*z = -4 + 1. Put z, f, -4 in decreasing order.\nAnswer: z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + s**2 - s + 1. Let c = 22 + -21. Let g(y) = -5*y + 2 - 8*y**2 + 6*y + 8*y - 8 + 5*y**3. What is c*g(d) + 6*a(d)?\nAnswer: -d**3 - 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 405391 bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, x: 2, l: 7}. Give prob of picking 3 l.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7320741?\nAnswer: 3, 2440247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*b + 205*b + 3311*b**2 + 150 - 3171*b**2 - 5*b**3.\nAnswer: -5*(b - 30)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 5, u: 8}. Give prob of sequence aa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2380)\/8)\/(-7) + -2. Let m = v + -323\/8. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -41*f - 17*f + 1009 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5))**(-14)\/(i**(-5)*i**12) assuming i is positive.\nAnswer: i**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -7*i**5\/30 - i**4\/18 + 20*i**3\/9 - 4*i**2 + 415*i. What is u in b(u) = 0?\nAnswer: -2, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**2 + 88*o + 4. Let w = 888 - 877. Let p be a(w). Let n be (-5*2)\/((-1)\/2). What is the greatest common divisor of p and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79453 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*k + 4*m, -3*k + 3*m = 8*m - 37. Suppose 7*v - k*v = -2*v. Suppose 3*o - 4*o + 19 = v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/3*-3 - 6\/2. Let x be l\/(210\/4)*3. Let s = -0.015 + 0.025. What is the second biggest value in x, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10872 rounded to 3 decimal places?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 34008088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 32 - 29)*(-16 - 51 + 3*m + 8).\nAnswer: -159*m + 3127","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*o + 16. Let a be 1\/3*(o - -527). What is the common denominator of a\/77*8\/10 and 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 1. Let k(u) be the third derivative of u**6\/120 - u**5\/60 - u**4\/8 - u**3\/6 - 3*u**2. Let m be k(-2). What is the tens digit of l(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116130 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m - 4 = 0. Suppose 4*d = -m - 3. Let i(w) = -125*w - 135*w - 128*w - 1 + 387*w. Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*q - 77739 + 39552 = 78773. Calculate the remainder when 1283 is divided by q.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 8170.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 - -0.13. What is the third smallest value in 3\/2, l, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/(-486))\/(2\/33).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 36309.5 centimeters?\nAnswer: 363.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-48792)\/(-1926) - 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q = 51*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -11. Let q(b) = 17*b - 5 - 2 - 18*b. What is the units digit of q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.64 - -25.94. Let c = 0 - 0.04. Let a = 3.04 + c. Put 3\/4, d, a in decreasing order.\nAnswer: a, 3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(0 + -2) + -35. Suppose 2*d + 2*c + 2*c - 4 = 0, d = -4*c + 12. Is q\/(-10)*(-20)\/d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-5)\/((-20)\/56). Let d(r) = -r + 6. Let y be d(i). Suppose 0 = -3*a - y + 49. Solve -6*t = -a*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 394*j\/3 - 131.\nAnswer: -(j - 393)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*l = c + 315, 4*c - 316 = -4*l. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 171456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12311980559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 37160*t + 371610. What is f(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 5, v: 14}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b - 4. Let q be d(-4). Suppose 2*z + 2*z = -q. What is the remainder when (-2 - -4)\/(z\/(-54)) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2045 = 32*o - 1507. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1618.97 - 1635. Let h = 16 + v. Let n = 0.7 + -0.3. Sort h, -0.5, n.\nAnswer: -0.5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270657457.\nAnswer: 7, 149, 259499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86297 - -159224. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*1)**2 + sqrt(192) + 3)*5 - (sqrt(2904) + (sqrt(2904)*1 - sqrt(2904)))\/(sqrt(288) + (sqrt(288) - -2*sqrt(288))).\nAnswer: 949*sqrt(3)\/24 + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.076 + 0.026. Let y = 0.4 - 5.4. Which is the second biggest value? (a) y (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2313.66 - -2305.5. What is n rounded to 2 decimal places?\nAnswer: -8.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10318\/(-737))\/(182\/(-4)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29314 + 0*q + 7*q - 29314.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 516032, 2064091, 4644184, 8256311?\n\"Answer: 516017*c**2 + 8*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose -4*w + 6 - 3 = 5*f, -3*f = 3*w. Let i = z + w. Sort 2, 3, i in decreasing order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/11*(-10)\/3. Suppose 6*i - b*i = -36. Is 3 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1215)*-4 + sqrt(1215))\/((sqrt(3) + (2*sqrt(30))\/sqrt(10))*-4).\nAnswer: 21*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((44\/11)\/4)\/1)\/((-2)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 23*p**2 + 7*p + 2. Let v(f) = -11*f**2 - 3*f - 1. Let b(m) = -4*k(m) - 9*v(m). Calculate b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594835 divided by -118967.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -36*s + 317. Determine b(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 131 - 8 = 0. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/((-2)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23655 - 254090 = -17*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/9*612\/(-10). Suppose a - 5*a + l = 0. List the prime factors of a.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 5) in base 7?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-65) + (-2)\/(-13). Solve 0 = 3*d - 3*r - 12, -d + 0*d + 2*r + 3 = g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286179 is divided by 930.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -6. Let o = t - -10. Suppose 0*a + o*a = 60. 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: What is 67335 divided by -15?\nAnswer: -4489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1115, 1132, 1159, 1196, 1243, 1300, 1367?\n\"Answer: 5*f**2 + 2*f + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235627.\nAnswer: 7, 41, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 968\/13 - 78. What is the common denominator of -23\/10 and o?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 33. Suppose -2*d + 33756 = s*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*h - 2*g, h = -12*g + 17*g + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.95 + 2.65. Let z = 51.2651 + w. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 36 - 54)*(0*r - 2*r + 3*r + (-3 - 4 + 2)*(-r + 0*r - r) - 3*r - r - 3*r) in the form c + s*r and give s.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68979743 and 37355.\nAnswer: 7471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 + 0*y**3 + 18*y + 0*y**4 - y**2 + 1\/30*y**6 + 0*y**5. Differentiate v(m) wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:31 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -17. Let d(m) = 3*m**2 - 8*m - 2. Let s(x) = 14*x**2 - 39*x - 11. Let z(j) = a*s(j) + 11*d(j). Factor z(t).\nAnswer: 5*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.08 and -0.9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6)*w\/w**(-2))\/(w**(-4)*w**(1\/2))*((w**2*w)\/w**8)**32 assuming w is positive.\nAnswer: w**(-317\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (14 - 5) + -1 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**9\/a*a)\/a*a)\/(a**35*a))**(-1\/10) assuming a is positive.\nAnswer: a**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3640821*k**2 - 1 + 1 - 13233128*k**2.\nAnswer: -16873949*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, i: 3, g: 1, p: 1, y: 8}. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-525)\/(-560))\/(2\/(-8))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32800244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25671 and 33927.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*x = -1012, 4*s + 4432 = 5*x + 469. Let h = 1417 + s. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17129 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + y**2 - y + 1. Let c be f(1). Solve -30 = 5*t + 3*n, c*n = 4*t - 7*t - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = w + 11*m + 13, -4*w - 5*m - 37 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47035717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l - 40 = 0. Suppose -f - l = f. Put -2, -1, f in descending order.\nAnswer: -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1.01. Let w = 0.99 - x. Let u = w + -0.96. Round u to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 7*j + 4. Let g be 195\/3*j*5. Suppose 0 = 3*v + 2*v + 5*i - g, -3*v + 181 = -4*i. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s*(s\/((s\/(s\/((s\/(((s\/(s*s\/s**0))\/s)\/s))\/s)))\/s))\/s))\/s))**(-23)*s*s**(-1\/2)*s**(-2))**(2\/15) assuming s is positive.\nAnswer: s**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177332761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i + 4286*i**3 + 19*i - 378*i**2 - 4193*i**3 = 0. Calculate i.\nAnswer: 0, 2\/31, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 87\/4 of a tonne?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -505 - -1403. Calculate the least common multiple of 22 and v.\nAnswer: 9878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2 - (-2 - -2). Let w = -184\/5 + 37. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 498535\/598170 + 16\/288*-15. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*g - 2*g + 107 = 0, 308 = 4*k - 4*g. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 89 (b) 31 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5175.5, 1, -3, -1\/3.\nAnswer: -3, -1\/3, 1, 5, 5175.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/11 - 334*q**2\/11 + 1178*q - 12626\/11 = 0.\nAnswer: 1, 59, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11531790 is divided by 51945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 28*d = -6*d - 22*d + 1840 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58079?\nAnswer: 7, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00582 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/42 - 4*(-6)\/36\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*k = 4*x + 32, -4*x - 19 = -k. Sort 3, -3, x.\nAnswer: x, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31.77745 from -0.4.\nAnswer: 31.37745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 11*u**5\/60 + u**4\/8 - 3*u**3\/2 - 40*u**2. Let q be b(-4). Calculate the greatest common divisor of q and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003102488 to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3484532, -6969063, -10453594?\n\"Answer: -3484531*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s**2 - 2*s + 5. Suppose 5*b - 15 = -5*w, -5*w + b + 15 = 3*b. Let f be x(w). Is f at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 4. Let o be p(5). Suppose -2*f + 1125 = 3*f. Suppose h - 5*t = 57, 4*h - 5*t - f = -h. Calculate the greatest common factor of h and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35724024 divided by -7.\nAnswer: 5103432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)*0\/5. Suppose a = -3*s + s - 76. Is s smaller than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-20)*25\/(-70).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.25, 3\/2, -1\/2, 3, -2\/17 in ascending order.\nAnswer: -1\/2, -2\/17, 3\/2, 3, 3.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -702.72 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w)\/(w\/(w\/(w\/(w**(-1\/2)*w)))))\/(w*w**(-6)\/w*w*w*w**2*w) assuming w is positive.\nAnswer: w**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 2560*i + 15368\/3.\nAnswer: -2*(i - 3842)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, 2\/5, -2\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 7*x + 27*x - 6*x - 8*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132854124*x**2 - 51493370*x wrt x?\nAnswer: -265708248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 2. Let u(o) = 2*o**2 + 5*o + 2. Let c be u(-5). Let i = c - 22. Let r(j) = j**3 - 5*j**2 - 2. Let y be r(i). What is s(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:57 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1725655 and 31240.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 - 38 + 13*o**2)*(0 + 2 + 1) - 3*o**2 + o**2 + 3*o**2 to the form u + a*o**2 + v*o and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/22 + 4 - (2 + 2). Sort -3, o, 0.1, 4 in descending order.\nAnswer: 4, 0.1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1960 by 40.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 307 = -s, 2*s = j + s + 73. Let p = -127 - j. Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54271\/9 + -6023. Let t = d - 6. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 27699*c + 27696 = 0.\nAnswer: -9232, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n - 30. Let g be t(-7). Suppose -32*m + g = -28*m. Solve 0*w = w - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4 = 2*m. Let l = 9 - 6. Suppose -4*n + l = 11. Put n, -4, m in decreasing order.\nAnswer: m, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/84)\/25*7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - 6*(sqrt(612)*2 + sqrt(612)))**2 + 0)*-6.\nAnswer: -1061208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15912 = -614*k + 1226*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 723829.2nm in millimeters?\nAnswer: 0.7238292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431900.9 tonnes to micrograms.\nAnswer: 431900900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/4*61\/(-61)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -555, -856, -1183, -1542?\nAnswer: -1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1342994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(6 - (-27)\/(-6)). Suppose -j = -4*w + 4045, 1916 + 99 = q*w - 3*j. Does 47 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*c - 32. Suppose -8*g + c*a + 770 = -6*g, 0 = -5*a + 25. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:04 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16601461, -33202944, -49804427, -66405910, -83007393?\n\"Answer: -16601483*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t + 156. Give o(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n + 105. Let y(x) = 152*x - 2016. Let o(v) = -96*s(v) - 5*y(v). Let j(g) = 5*g - 14. Give o(j(i)).\nAnswer: 40*i - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -246*t - 146. Let v be (7\/(21\/(-9)))\/1. What are the prime factors of b(v)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 + -127 + 98 - 190?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -24110?\nAnswer: -24103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 2. Let z(k) = k**2 - 14. Let x(d) = 5*y(d) + z(d). Let r be x(-8). What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000288704233 rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 4*k)*(-2*k**4 + 3*k**4 - 3*k**4) + (-2*k + 0 + 0)*(-20 - 9*k**2 + 20)*(1607 - 69*k**2 - 1607).\nAnswer: -1236*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 - -5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3722646, 3722648, 3722650?\nAnswer: 3722652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 70*s - 75*s + 962 = 0, 5*t + 4*s - 4852 = 0. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 4392898361.\nAnswer: -4392898339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + 0 + -1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 473.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -5, -13, -21?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/181 >= 5.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15621.\nAnswer: 3, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*x**2)*(-2348*x + 778*x - 803*x).\nAnswer: -9492*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21792083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6708582 and 107\/8944776.\nAnswer: 26834328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 70. Let h be y(-36). Let a(g) = h*g - 4 + 2*g - 3*g + 1. Let j(d) = d**2 - 2*d + 5. What is 5*a(l) + 3*j(l)?\nAnswer: 3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 - -2.1. Let h = -3.6 + o. Which is the nearest to 1\/4? (a) 1 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/7, -0.2, -1, 0.421, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + u - 5*u = -207, -2*z - 4*u = -78. Which is smaller: 131\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 16) to base 7.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1362549 or -1362530?\nAnswer: -1362549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p - 4*p + 12*p)*(137*p**4 + 2*p**2 - 130*p**4 + 3*p**2).\nAnswer: 154*p**5 + 110*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/77236650 and 7\/257455500.\nAnswer: 772366500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**2\/2 + 2*v + 3. Let j be s(0). What is the units digit of ((-29)\/j)\/((-4)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2604*o - 53. Let f be r(6). Let p = f + -11090. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -674.1 + 679.1. Let f = -0.14 + 0.34. What is the biggest value in z, -2\/3, f, -2.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21087 and 2079.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 25 = h - 3, 216 - 26 = 2*h - 7*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2428 and -61\/26.\nAnswer: 31564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2054)\/156 + 6\/9)*(-2 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 0*v**2 - 3*v**2 + (3*v - v - v)*(-3*v - v + 2*v) - 2*v**2 - 2 + 2 + 13 - 8 + 9*v + v**2 - 10*v.\nAnswer: -5*v**2 - v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1204, 2 in descending order.\nAnswer: 1204, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 - 11*n + 10. Let b be x(9). Let f = b + 578. Factor 0 + 5\/2*t**f - 5\/2*t**2 - 15*t.\nAnswer: 5*t*(t - 3)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 84 + 39 = -0*i + 2*i - 11*i - 36, 2*i = 4*p + 44 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y = -5*p - 58*y - 7, 0 = -2*p - 3*y + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 53 = -3*p, -3*i - 2*p = -2*i - 33. Let y = i - 45. Let d(r) = 2*r**2 + 8. Does 13 divide d(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 20*v - 10. Let b = -68 - -50. Is l(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591*g = 586*g - 10. Suppose -2*i = 4*z + 12, -z = -2*i - 12 - 5. What are the prime factors of i\/g - (207\/(-1) - -8)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/4)\/i)\/i)**(2\/9))**40 assuming i is positive.\nAnswer: i**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -6\/11 (b) -7 (c) 401983 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*x = 1145*x + 6630 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 11307 = -11239 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45385, -5, -4.\nAnswer: -45385, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -989 - -985. Sort t, -3.8, 18 in increasing order.\nAnswer: t, -3.8, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7483.98 (b) 1\/8 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687024375 to the nearest integer?\nAnswer: 26211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 14. Calculate the least common multiple of 2 and (1\/u)\/((-3)\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13717 - -211363110.\nAnswer: 211376827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*29220\nAnswer: -87660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-2)\/21*654\/4. Let f be (-1)\/2 + 7\/2. Suppose -4*s - f*n + x = -0*s, -2*s + 4*n + 82 = 0. What is the remainder when s is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 301, -1\/59, 5, -0.5.\nAnswer: -0.5, -1\/59, 5, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 832444*r - 86620376642.\nAnswer: -2*(r + 208111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375.072 grams in nanograms?\nAnswer: 5375072000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -56660933.\nAnswer: -566609.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 + ((23 + -22 - (2 - -5)) + -6 - -7)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5705271 and 1521?\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - l - 4*l to v + r*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 10:34 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828 - 1138 - 1734 = 195*u + 2246 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/3 (b) -4\/5 (c) 2 (d) 2\/7 (e) 0.3 (f) 213.4 (g) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131619 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8))**47*v**(-8\/5)\/v**(2\/7) assuming v is positive.\nAnswer: v**(-11581\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 46*t + 100*t + 85*t.\nAnswer: 129*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:16 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44701*z - 171211*z + 68510*z.\nAnswer: -147402*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66.35 - 1.35. Let r = -0.32435 - -0.02435. What is the third smallest value in r, h, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (0 + 6) - 2. Let t = n - 4. Let w be 2\/t*20\/8. Is 0 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47389105409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331784 at least as big as -10\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.09731*0.2422\nAnswer: -0.023568482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -4*v - 3*b + 24, 0 = 4*v + 3*b - 10. Let k be 3660\/44 + v\/(-22). Let h = k + -28. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6005 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i = -2176 + 1625 - 2257 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - 3*h**5 + 6*h**5 + 0*h**2 + 0*h**2 - h**5 + (h**3 + 1 - 1)*(h**2 + 0*h**2 + h**2).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a + 3*w - 23, 0 = -5*a - w + 25. Suppose 2*y - a*r = -2*y + 44, -3*y + r = -41. Calculate the remainder when 70 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + -4*(-2 + sqrt(171) + sqrt(19) + 4)*-3)*-3)**2 + -5.\nAnswer: 21600*sqrt(19) + 399604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 650 or 1299\/2?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 22. Let d(y) = -y. What is d(r(m))?\nAnswer: -2*m + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1 + (-3)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57834, 57844, 57848, 57840, 57814, 57764?\nAnswer: 57684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2703965.223?\nAnswer: -2703967.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22272 is divided by 303.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c55e - -3b8?\nAnswer: -1c1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.88 + -0.3. Let f = s + 74.42. Let j = f + -74.9999943. What is j rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.133 and 0.03.\nAnswer: -0.03399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*p + 12 = 0, -p + 0 = -w + 6. Let o = -11 - -8. List the prime factors of (-36)\/w*14\/o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**0)\/m)**(-2\/3)*(m\/(m\/(m\/(m\/(m**(-1\/6)\/m)))))\/m**(1\/4)*(m*m**1\/m)**(-18\/11)*(m**(-2\/5))**15 assuming m is positive.\nAnswer: m**(-1283\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2*g**3\/3 + 19*g**2\/2 - 10*g - 30. Let c be m(-10). Suppose c = -2*l - l + 270. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -2 (c) 1722 (d) -8 (e) -2\/3 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + c**2 + 2)*(-5*c + c + 2*c + 0*c + 4*c - 2*c + (2*c - 2*c + 2*c)*(-2 + 0 + 3) + 0*c - c + 3*c) in the form o + b*c**3 + j*c + k*c**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrpxxsfrxxfxf. What is prob of sequence rpx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.31 + -0.71. Let k = -9 + d. Let x = 0.4 + k. Is x != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a**3 + 9*a**2 - 46*a - 10. Let x(t) = 2*t**3 + 2*t**2 - 2. Give u(q) - 5*x(q).\nAnswer: 4*q**3 - q**2 - 46*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {e: 9, h: 10, a: 1}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from lyyog?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*b - 3 + 27, 0 = 3*i + 3*b - 24. What is the least common multiple of i and 3 + 1*2\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or -19760?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 435.661 or 643?\nAnswer: 435.661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 9*a + 1. Let r(v) = -2*v**2 + 8*v. Let f(l) = 3*l**2. Let p be f(1). Let w(d) = p*c(d) + 4*r(d). What is w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 12:44 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 443\/5. Let r be 3 + 1364\/(-30) + -3. Let z = 136\/3 + r. Which is the closest to 1? (a) o (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -71, -60, -35, 10, 81?\n\"Answer: j**3 + j**2 + j - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -37*u - 123. Determine k(-6).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4 (c) 2904\/25 (d) -0.06 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 4. Let w(q) = -q**2 - 3*q + 4. Let d(b) = 4*s(b) - 5*w(b). Let i(v) = -2*v**3 - 11*v**2 - 15*v - 3. Let n be i(-3). Determine d(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22874 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: Expand (0*k**2 + 0*k**2 - k**3 + (4 + 0 - 3)*(0*k**3 - 2*k**3 + k**3))*(-659 - 990 - 551)*(-4 + 2 + 0).\nAnswer: -8800*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/3)*y\/y**(-2))**(3\/14))**(9\/8) assuming y is positive.\nAnswer: y**(45\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izij when four letters picked without replacement from {u: 1, p: 5, i: 2, j: 2, m: 5, z: 2}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1411221 (base 5) to base 14.\nAnswer: -a78c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -4)*(1 - 8). Let m(u) = -u + 3. Let c be m(j). Let o(b) = -b - 3. Let d be o(c). Solve 0 = -3*s - 16 + d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6487045.000012 - -6487034. Let k = 12 + -1. Let a = k + c. What is a rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-469)\/49 - (-87)\/(-203).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*w + 60 = 89*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 36. Let p(s) = -4*s**2 + 3. What is p(f(v))?\nAnswer: -36*v**2 - 864*v - 5181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/3, 745.5, -4, 0.019?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.3, -13, -8, -2.\nAnswer: -13, -8, -2, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1274 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 13 + -41 + (-12 + 23 - 6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 229863*j - 459722.\nAnswer: -(j - 229861)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1341 and 97297?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 0*a - 13 = 0. What is the remainder when (a - 0 - 1)\/((-2)\/34) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1372 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -2. Let f be 13 - d\/((-2)\/(-2)). Suppose 2*n = 4*n. Solve n*v + f = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n + 1267*n**2 + n - 1266*n**2 - 2. Let p = 14 + -22. What is x(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let v(y) be the first derivative of 6*y**3 - 2 - 4*y**3 + 0 + 0. Determine v(i(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 3, h: 4, j: 3, n: 4}. What is prob of picking 2 h?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8, 0.065, -350, -4, 3?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704141385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**2 + 1. Suppose -2*w + 86 = 5*t, 8*t - 4*t - 2*w = 58. Let o(q) = 16*q + t*q + 24*q - 60*q. Calculate o(k(l)).\nAnswer: 36*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(4\/5))**4 assuming o is positive.\nAnswer: o**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.164283 years in millennia?\nAnswer: 0.005164283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1306683, 0.4 in descending order.\nAnswer: 1306683, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3735?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 437321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*p + 7 = 0, -x - 4*p + 9 - 2 = 0. Suppose -b + x*b - 74 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/342 + 270\/(-76)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48226765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355901.\nAnswer: 7, 13, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89571 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -f - 193. Calculate the greatest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + 5*sqrt(432)\/sqrt(4)*5 + -4 + 0)**2.\nAnswer: -2100*sqrt(3) + 67554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 943866310 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/153*(-2)\/(-3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5017830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.0127 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n - 3939. Give u(494).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00312801 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367*a - 1086 - 1078 + 2164)*(0*a**3 - 4*a**4 + 0*a**3).\nAnswer: -1468*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - ((sqrt(2904)*1 - sqrt(2904)) + sqrt(2904)))*-1)\/((sqrt(288) + 2*sqrt(288))*4).\nAnswer: 5*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35 and -2577040095.\nAnswer: -2577040060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -636174, -636172, -636170, -636168, -636166?\n\"Answer: 2*l - 636176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46\/15 + -2489\/810. Let i = m + 2999\/324. Let c = -9 + i. Is c bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 195, 198, 201, 204, 207?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -47.8. Let t = 50 - 25. Let z = 24.6 - t. Sort 0, z, r, -2\/31 in decreasing order.\nAnswer: 0, -2\/31, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/90*-5)\/((-44)\/(-704))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 4) in base 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*y + 260, -288 = 2*b - 3*b + 5*y. Suppose 9*v - b = -4*c + 13*v, 2*c = -v + 146. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*s - 753 = -113*s - c, -3 = c. Which is smaller: s or -1517\/6?\nAnswer: -1517\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41478*v**5 - 32388*v.\nAnswer: -829560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 304*w + 9445. Let l be a(35). Sort l, 0.4, -0.1, 8, 0.3.\nAnswer: -0.1, 0.3, 0.4, 8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - 24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/25)\/((-2)\/(-5)). Let d = 5 + f. Calculate the remainder when ((-1)\/((-1)\/11))\/1 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -133.24 and -4?\nAnswer: 532.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ca09 + -6?\nAnswer: -1ca12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -189102 divided by 3?\nAnswer: -63034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-10)\/14 - (-1281)\/(-147)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/28 + 23\/84. Which is the second biggest value? (a) 2\/13 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527845?\nAnswer: 5, 229, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**3 + 2*w**2 - 4*w + 2. Let o = -38 - -35. Let t be m(o). Calculate the common denominator of 51\/11 and (-5 - -6)\/(20\/t).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + 0.15. Let l = 1 + -0.9. Let x = l + s. Are 2\/7 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20036*m + 6*m**3 - 20036*m.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-16)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3030*w + 2. Let v(d) = -7*d. What is v(f(g))?\nAnswer: -21210*g - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869254 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (12 - (9 + (11 - (7 + -2 - 1))))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**23\/(b*b**(2\/13)*b*b) assuming b is positive.\nAnswer: b**(258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-35)*1 - 43326\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -336 + 495. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3184795002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (-3 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, -5 in increasing order.\nAnswer: -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -627*w + 27503. What is r(46)?\nAnswer: -1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 13*y**5\/60 + 2*y**2 + 2245*y. Let v(s) = 0 - s + 0. Give n(v(f)).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5239657 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 78, -0.5, -1\/6 in ascending order.\nAnswer: -0.5, -1\/6, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6 - 3. Suppose -6*t + 507 = -s*t. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*2*sqrt(143))\/((sqrt(77) + sqrt(77) + (sqrt(77) - 2*sqrt(77)))\/sqrt(7)) + (sqrt(104)\/sqrt(8)*3 + sqrt(13) - (sqrt(13) + sqrt(468)))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5\/9 + 38*z**4\/9 - 4*z**3.\nAnswer: -2*z**3*(z - 18)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0119657572 rounded to 6 decimal places?\nAnswer: -0.011966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)*-1)\/sqrt(6) + sqrt(1344)*2)\/(sqrt(6)\/(-1*sqrt(2)) - ((sqrt(30) + sqrt(480))\/sqrt(10) + sqrt(3))))**2.\nAnswer: 225\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1926 + 1929. Let o(q) be the second derivative of -7*q + 0 + 1\/4*q**4 + 0*q**2 + 0*q**f. Let b(x) = 2*x. Give o(b(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*i + 21, -c - 17*i + 14*i = 1 - 0 - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 - -33?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - x**2 - 7*x. What is o(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h**3 + 3*h**3 + h**3)*(2 + 6*h - 2).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*495860.\nAnswer: 54544.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*t + 84 = 6*r - 190*t + 95*t, -3*t + 39 = 2*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 556*o**3 - 40*o**2 - 10.\nAnswer: 3336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14583 + -8595. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 140*i**2 + 32*i**2 - 3*i - 33*i**2. Is 28 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**3 - 8*v**2 + 6*v - 3. Let k(g) = -12*g**3 + 15*g**2 - 12*g + 5. What is 5*d(c) + 3*k(c)?\nAnswer: -c**3 + 5*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 435 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8710)\/(-39)*(-1 - (-15)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -24 + 9. Suppose -2*w = w - f. Suppose -w*k + 45 = -30. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417\/(-12753) + 13\/63?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2770 and 25\/95842.\nAnswer: 479210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2649752\/17 + -156710. Let r = -842 - f. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*y - 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*l - 32 = 0, -4*g = 3*l + 5 - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2173\/7 + 310. Let h = 5 - 4.6. What is the biggest value in l, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a38 - -30a8?\nAnswer: 4b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 548, 551, 554?\n\"Answer: 3*d + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -25, 0, 3495, -24 in decreasing order.\nAnswer: 3495, 0, -1, -3, -24, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 - h**2 + h + 1. Does 3 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250388 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d + 2 - 2 + 2*d to m*d + r and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 4*p + 2 + 5\/4*p**4 + 0*p**3 + 0*p**2. Find the first derivative of v(b) wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84802 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - 14\/(-56). Suppose -2*w + h*w - 5*u - 848 = 0, 4*w - u + 1740 = 0. Let i = w - 106. What is i rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 370486 and -1973.\nAnswer: 368513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 67.9. Let p = -67.942 + o. Round p to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11470746 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*g - 420, -3*w + 2*g - 1273 = 6*g. Let p = -244 - w. What are the prime factors of p?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of (-1)\/(5\/(-3)) - (-11 - (-507248)\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20789 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1899\/59 (b) 21 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(2*sqrt(8)) + sqrt(225)\/sqrt(5) - (1 + (sqrt(240)\/sqrt(6))\/sqrt(8)).\nAnswer: -1 + 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 21*i - 144*i**3 + 16 - 62*i**3 + 66*i**3 + 5. Let l(f) = -14*f**3 + 2*f + 2. Determine -42*l(u) + 4*y(u).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.452295 litres in millilitres?\nAnswer: 7452.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 35*d - 261. Let v be o(15). Suppose -5*k + 165 = -0*k. Calculate the highest common factor of k and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67920593 divided by 13.\nAnswer: -5224661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 711 divided by -79\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmms when four letters picked without replacement from mamhhaahaammaammasms?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1777*h**3 + 2762*h**3 - 4469*h**3.\nAnswer: 70*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273 - -25?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 23. Let q(n) = -2*n**2. Determine v(q(l)).\nAnswer: 4*l**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/10 (b) 8 (c) 2681 (d) 17\/2 (e) -1\/6 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/21 - 76\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 868553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 219 and 36?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, -18, -73, -184, -369?\n\"Answer: -3*y**3 - y**2 + 7*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/((-288)\/45) - (1 + 0). What is the second smallest value in -0.3, x, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 968 - 687. Suppose 0*b = 5*b - 2*o - 755, -m = -2*b + 5*o. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 29.1. Let v = -359 + 356. Which is the smallest value? (a) 38 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/151 + 276\/1963. Let u = -32 + 32. Suppose -w + 8*w - 7 = u. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 11?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0, -1111?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, u: 7, z: 1}. What is prob of sequence zu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d**2 - 3*d - 1. Let f(w) = -9*w**3 + 3*w**2 + 22*w + 8. Give -f(r) - 8*s(r).\nAnswer: r**3 - 11*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/20)\/(18\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**3\/3 - p**2\/2 + p. Let a = 447 + -449. Determine r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 + 95*c**3 - 596*c**2 + 373*c + 132 = 0. Calculate c.\nAnswer: -1\/4, 1, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 447 - 446. Suppose 2*n = -a + u, 0 = 4*a + 5*n + 2 - 6. Which is smaller: 5\/87 or a?\nAnswer: 5\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 54\/17, -2.4?\nAnswer: 54\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 7) + -1 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*r - 1277 + 228, -3*a + 1037 = -2*r. Which is greater: 351 or a?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:07 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1010 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 2270*m**3 - 1292756*m**2 + 5141554*m - 3851067.\nAnswer: -(m - 1133)**2*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + 280?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 7*y**2 + 7*y + 8. Let k be o(-6). Let h(p) = 6*p - 1. Let x be h(5). Let m = x + -45. Put k, -3, m in descending order.\nAnswer: k, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 0 + 0 + (10*k**2 + 10*k - 10*k)*(-2*k - k + 4*k) - 2*k**3 + 61*k**3 + 16*k**3.\nAnswer: 83*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*m + 34, -f - 4*m = 2 - 10. What is the greatest common factor of 8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -1\/53 (c) 21 (d) 5 (e) -2\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/5 + 64*n**3\/5 + 114*n**2 + 180*n = 0.\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/10 + 2*y**4\/3 + 7*y**2. Find the second derivative of b(h) wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-1\/2)*i**(1\/10) assuming i is positive.\nAnswer: i**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5418 + 5420.339. Let y = a + -0.339. Let n = -40 - -28. What is the nearest to -0.1 in 2\/3, y, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(324)\/(sqrt(12) - (sqrt(1728) - 1*sqrt(1728)))*-6)\/(((sqrt(63) + sqrt(252)\/sqrt(4))\/sqrt(7) + (sqrt(900) - 2*sqrt(900)))*-6))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:27 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3959759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l = 1465 - 906 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4552 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-14))\/(15\/(-6))*(7 - 6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 2, y: 4, v: 4, w: 6, a: 3}. Give prob of sequence agw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 181.3 (b) 317.4 (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175796768\/5 - 35407897. Let a = 250957 + z. Let v = a + -216859\/90. Find the common denominator of 83\/2 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - (-11 - -18))*1*-1. Sort -2, -1, w in increasing order.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3239*f = -4*w - 3238*f + 2 - 6, 5*f = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/12 + (-4)\/(-18)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -456 - -493. Let q be x - 38 - 6\/(-2). Solve -4*s = -q*w - 12, -s = 3*w - 2*s - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 133395, 266820, 400247, 533676?\n\"Answer: y**2 + 133422*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f - 44. Suppose 215 = -3*r + 8*r. Suppose -2*i + 125 = r. What is the remainder when i is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*h - 3*h - 8, 4*d = 3*h + 2. Let q(y) = -12*y - 14*y - 2 + 25*y + 3*y**d. Determine q(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m. Let p be o(-1). Let y(l) = p*l + 16*l - 28*l. Let s(q) = -8*q + 5. Let t(u) = -9*u + 6. Let d(b) = 6*s(b) - 5*t(b). Give y(d(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 1\/2 (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:49 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -97*s. Let p(t) = 55*t**2. Give p(r(v)).\nAnswer: 517495*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 500174*u**2. Let z(t) = -13*t + 1. Calculate z(n(q)).\nAnswer: -6502262*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 4*y - 10. Let v be h(12). Let q be 4\/16 + v\/8. Suppose -3 - q = -4*u. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1792\/23495 - -35647411\/1550670. Let k = 13\/165 - n. Find the common denominator of k and -65\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*y - u, -5*y - 4*u + 0*u - 76 = 0. Let r be (-16)\/y + 33\/9. Suppose r*j - 48 - 7 = 0. Does 2\/5 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + 18\/(-2) + (-3 - -2). Let x be (-20)\/50 - (-22)\/w. Put x, 1\/5, -0.2 in decreasing order.\nAnswer: x, 1\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -31*f**2 + 25*f**2 + 3*f + 7 + 3*f - 5*f**3 + 3*f. Let m(b) = 5*b**2 - 6 + b**3 + 8*b**3 - 8*b - 5*b**3. Calculate 6*a(q) + 7*m(q).\nAnswer: -2*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/7)\/((-8)\/(-56)). Let t(w) = 10 - 17*w - 2*w**3 + w**3 + 18*w**2 - 10. Let a be t(17). Sort a, -2, u.\nAnswer: -2, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 22*g + 374 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11059?\nAnswer: 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 131 + 394 - 125 - 484*x**2.\nAnswer: -484*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/3 - 4*w. Let i(c) be the first derivative of -18*c**3 - 710. Determine i(g(h)).\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 8*u + 0 + 4\/3*u**3 - 1\/5*u**5 + 0*u**2 - 1\/3*u**4. Let w(p) = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -143, -136, -135, -146, -175, -228, -311?\n\"Answer: -f**3 + 3*f**2 + 5*f - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 477 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 1\/(48\/(-604832)*4\/(-6)). Is -18896 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*n - 15. Suppose -4*w + 66 + 14 = 0. What is the lowest common multiple of w and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 1234203769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010 (base 4) to base 6.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:13 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-684)\/304)\/((-135)\/420).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 5*q**2 + 3 - q**2 + 2*q - 5. Let p(w) = 5*w - w**2 - 1 + 0*w**2 - 3*w. Let v = -6 + 4. Calculate v*c(s) + 3*p(s).\nAnswer: s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o = -21*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 11) to base 15.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*t - 27*t + k - 24, 57 = -3*t + 4*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3 and 5\/(-75)*(1955\/(-370) + 4).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 420, 418, 422, 432, 448, 470?\n\"Answer: 3*a**2 - 11*a + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o. Suppose q + l = 4*l + 8, o = -2*q + 5*l + 11. Let j = -6 - q. Let g(d) = 4*d**3 - d**2 - d + 1. What is g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*d + 194*d = -166*d + 6270 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 - 4*o + 32. Let k be d(-5). Find the second derivative of -w**5 - 14*w + 3 + 4748*w**3 - 30*w**k - 4748*w**3 wrt w.\nAnswer: -20*w**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/(r**1*r*r))\/r))*r)**(-2\/63)*(r**0)**26 assuming r is positive.\nAnswer: r**(4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 f when three letters picked without replacement from {w: 2, f: 2, b: 1, s: 1, k: 1, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 - 127. Find the common denominator of -71\/48 and (42\/u*-3)\/((-2)\/(-60)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, -15, 36\/29 in decreasing order.\nAnswer: 36\/29, 1, -0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -50. Let r be q\/3*-3*7. Suppose n = -5*i - 11, 4*i + 76 = r*n - 3*n. Calculate the remainder when 39 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000103591 rounded to six dps?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 737 + -414. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 52 = 3*w, 2*w - 32 = -2*n + 8. Let h = -1 + w. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(432) + 1)**2 - (6*sqrt(15)\/sqrt(5))**2.\nAnswer: -541 - 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1400 - 13951\/10. Find the common denominator of -49\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 7 + (1 - 1 - 2)*(-1 - 3 + 6))*(o + 0*o + 0*o)*(-3*o - 1 + 0 + 9).\nAnswer: 33*o**2 - 88*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f + 387. Let a be k(35). Suppose -5*n = -3*d + 2, -8 = -n - 3*n. Solve 5*s - 5 = a*h + 6, -2*s - 2 = -d*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153666744 is divided by 66.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 49*j**2 + 43*j + 243. Let b be i(48). Which is bigger: 216 or b?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*v - 484 = 446, -447 = -2*h - 5*v. Let s = h - 146. Let x = s + -81. Solve 5*w - 4*f - 12 = 4*w, 0 = x*w + f + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*5274\nAnswer: 13185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1865699*j. Let o(i) = 2*i. What is u(o(n))?\nAnswer: -3731398*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*c + 260*c = -260*c + 66 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (74 + -50 - 45) + (2 - -27).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvewpvpwpppp. Give prob of picking 1 w and 1 p.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11727623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 7, z: 2, j: 4, v: 1}. Give prob of sequence jt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w - 4. Let f be (-4)\/10 - 1185\/(-25). Suppose f*b = 42*b + 10. What is the tens digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Which is the third smallest value? (a) 3 (b) -0.06 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 27*z - 21*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100109 - 0.\nAnswer: -100109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2. Let u(z) = -4*z**2 - 76769 + 76769 + 3*z. Let x(c) = -6*c - 6*c + 8*c**2 - 3*c + 8*c. Let n(p) = 14*u(p) + 6*x(p). Calculate n(b(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 10. Calculate the remainder when 38 is divided by -10*(2\/1 + y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 8 - 2*a - 125.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {g: 2, h: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = -4*m + z, 0 = -4*m + 3*z + 15. Suppose -2*x + x + 4 = m. Suppose -x*v - 80 = -2*v. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013612 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11734373 is divided by 106676?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/11)\/(7\/(-77))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(-3)*z)\/z*z*z*z)\/z)**(-23\/5)*z**(2\/21)*(z**(1\/4)*z)\/z*z assuming z is positive.\nAnswer: z**(-12959\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471027345.\nAnswer: 3, 5, 3361, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(78)\/sqrt(2))\/sqrt(3))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-216)*(53\/(-6) + (-140)\/(-168))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18630 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 12. Suppose 2*l + 3*l + 2*w = -4, 5*l = -4*w + 2. Let p(v) = -2*v**3 + v**2 + 3*v + 1. Let r be p(l). Solve -r = x - b*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 81666*u - 4. Let k = -2 - -8. Suppose -v + 2*p - 10 = 0, -3*p + k*p + 24 = -5*v. Let a be c(v). What is a rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2100 + 619*f - 123*f**4 - 126*f**4 + 247*f**4 wrt f.\nAnswer: -8*f**3 + 619","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204454931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225669.\nAnswer: 3, 75223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2, 65 - 11 = 2*a + 5*b. What is the remainder when 63 is divided by a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5662 is divided by 298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-3)*(645\/(-10) - -2). Calculate the common denominator of -63\/10 and (-4)\/(-24)*-2 + j\/96.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 1 + 1 + (-12 + 14 - 11)*(2*s - 5*s + 4*s) as g*s + a and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 40. Let t(u) = 7*u + 41. Give 2*t(g) + 3*z(g).\nAnswer: -g - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 + 6*z**2 + z - 6 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:35 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 313953, 313952, 313951, 313950?\n\"Answer: -b + 313954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, 56, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 0, 33 = -3*u + 4*u + 5*w. Suppose -i = -4*s + 23, -8*s - 4*i = -12*s + u. Solve 5*f + 5*x - 25 = 0, -f - 4*x + s = -1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giaa. What is prob of picking 1 a and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) -2\/9 (b) 908 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18153)\/(-18))\/(11\/44).\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 2, 2.5355 in increasing order.\nAnswer: 2, 2.5355, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 2*z**5 - 2*z**5 + 182*z**5 + 8507*z**4 - 8507*z**4 - z**5 - 4*z**5 + 4*z**5 + (1 - 4 + 4)*(-2*z**5 - z**5 + 5*z**5) - 2*z**3 + 2*z**5 + 2*z**3.\nAnswer: 184*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/33736 and 53\/9372.\nAnswer: 79043448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 5. Let f be 0\/2*5\/(-10)*-1. Let y be m(f). Solve -y*o = -0*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.53\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44310307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 705 and 5914465.\nAnswer: 833939565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6900?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(1 + sqrt(475)) - ((0 + sqrt(475))*-1 + sqrt(475)))**2 + 2.\nAnswer: 30*sqrt(19) + 1430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-2 - -3)*-1. Solve -8 = 5*v + w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -504 in 2\/45, -3, 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5817570 divided by 6222\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - -1.98. Which is the nearest to z? (a) -2\/13 (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) + 32\/((-64)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681641 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: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4 + 5 - 1 - 3 + (4 - 2 - 3)*(1 + 1 - 4) + 2 - 1 - 3 + 0 + 2 - 3)*(175*y - 412*y - 663*y) in the form w*y + j and give w.\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/84 and 83\/628992?\nAnswer: 628992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (3 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 899933 = 1479067. Round x to the nearest 10000.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -836*s**4 + 3*s**3 + s - 15177 wrt s.\nAnswer: -3344*s**3 + 9*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767608?\nAnswer: 2, 229, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 - 6*q**2 - 12*q + 15. Let d(k) = -k**3 - 2*k**2 + k + 1. Let p(c) = 3*d(c) - f(c). What is the tens digit of p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2 + sqrt(612))**2 - sqrt(612)) + 3)*1.\nAnswer: -1229 - 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 2*s + 216. Suppose 3*n + f = -2*f - s, n - 4*f + 27 = 0. Let u = -5 - n. What is the greatest common divisor of u and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11420 + 11425. Solve 8*q = 4*n + s*q - 21, 0 = -4*n + 4*q + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -781550*0.01\nAnswer: -7815.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 386\/5*y**2 + 512\/5 - 12*y**3 + 192*y + 2\/5*y**4.\nAnswer: 2*(y - 16)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101097237907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599680 to the power of 1\/2, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 720433177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 6. Let d(h) = -2*h + 2. Let v(o) = -4*d(o) - x(o). Let m(n) = n + 1. Determine 2*m(w) + v(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05967*-0.2\nAnswer: -0.011934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -21*k**6\/10 - k**4\/12 - 11*k**2 + 29*k. Differentiate f(q) with respect to q.\nAnswer: -252*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = i. Let t(x) = 4*x**3 - x + 1. Let z be t(i). Factor -25*o - z*o**3 + 25*o + 6*o**2 - 2.\nAnswer: -2*(o - 1)**2*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 8*l + 3*l**2 + 261 + 58.\nAnswer: 3*l**2 + 2*l + 319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(190) - -2*sqrt(190))*1 - sqrt(190)) + sqrt(190) + 1*(sqrt(190) + 2*sqrt(190)) + sqrt(190)))\/(-3*3*(sqrt(10) + sqrt(40))*1).\nAnswer: 14*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 20*t**2 + 3332*t - 1047. Calculate b(-167).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiaiw. What is prob of sequence xw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2.5. Let j = u + 0.4. Which is bigger: j or -6\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 78?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*-1*(-192)\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1386\/(-189))\/(112\/840).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-25)\/300*36\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**3 + 3*p**2 + 4*p + 12. Let y be j(-2). Let m = 98 + y. Solve 0 = 3*g - g - m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -194572.51 to the nearest 1000.\nAnswer: -195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/13))\/(p\/(p**1*p*p)*p))**(-10\/7) assuming p is positive.\nAnswer: p**(-370\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 - o + 8. Let l be d(-7). Let p = -581894\/2159 - -1224\/127. Let z = l + p. What is the nearest to 1\/2 in z, -0.2, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19860 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, o: 5}. Give prob of picking 2 y.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*q - 50. Let a = q + 21. Suppose 0 = -0*o - 3*o - 12, 3*o - 508 = -a*p. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/12 + 3*y**2. Suppose -u - 4*m = 8, 2*m = -u + m + 7. Let a(i) = -8*i + 4*i + 3*i + u*i + 4*i. Determine a(s(z)).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-s + 3*s + 6*s + s + 2*s - s + (-s - 3*s + 3*s)*(-1 + 1 - 1) + 4 + 2*s - 4).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.18 - 7.7. Let z = d + -0.38. Which is the nearest to 2? (a) -2 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihyyiyzcy. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -423, -865, -1215, -1419, -1423?\n\"Answer: 9*b**3 - 8*b**2 - 481*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 401183980 rounded to the nearest 1000000?\nAnswer: 401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -436 + 444. Solve -4 = 3*i + 4*f + 3, -2*i = f + t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3960 divided by 6?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + sqrt(187)*-3)*6 - sqrt(187))\/((-2*sqrt(99))\/sqrt(9)) + (sqrt(119)\/sqrt(448) - 2*(sqrt(102) - 1*sqrt(102))\/sqrt(6)))**2.\nAnswer: 47753\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4381*m + 606970 = 780*m + 709*m - 592*m for m.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 11*g - 20. Let w be v(-9). Let b be 10\/(-20) - w\/4. Put 11, -1, 5, b in decreasing order.\nAnswer: 11, 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2163 divide 740695557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o + 2. Let g be 2\/(14\/21) + -541 + -2. Let v = g + 543. What is the greatest common factor of o and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9326 plus 1446029420?\nAnswer: 1446029419.0674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -36. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 107. Let x = -397\/7 - l. Which is greater: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 11:27 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*k**3 - 88*k + 32\/3 + 8\/3*k**4 + 1153\/6*k**2.\nAnswer: (k - 8)**2*(4*k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.55 times -0.04\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3028 = -3*n + 48261, 2*n = x + 30167. Calculate the highest common factor of n and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 17 + 44. Let d(o) = 127*o**2 + 8*o + 30. Let y(i) = 43*i**2 + 3*i + 10. Let b(r) = x*d(r) + 8*y(r). Find the first derivative of b(n) wrt n.\nAnswer: -74*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 188*w - 500*w = -24120 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 989390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from sshqhssssspsnv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0 + 2*m - 7*m**2 + m**3 - 5*m + 2 - 1. Let f be a(7). Let q = f + 38. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*d = 66, -26 + 14 = -4*d. Calculate the least common multiple of 273 and f.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 12 = -3. Let t(u) = 3*u**3 - u**2 - 2*u + 3. Let m be t(f). Suppose 5*a = -m*d + 21, -d - 4*a + 16 = d. Is 16\/7 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 11*d - 14*d + 2, -4*a + 4 = 2*d. Let h(m) = 34965 + m**a - 34965. Let q be (-7)\/(-2) - (-1)\/2. Let t(y) = y**2. What is q*h(w) - 3*t(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:59 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45045.71307 + 45047. Let y = 1.2355 - z. Let u = -0.051 - y. What is u rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 8*a**2 + 8*a - 6. Let l be j(-9). What are the prime factors of -3*(l + -1 + -29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, -71, 1, -3 in decreasing order.\nAnswer: 21, 4, 1, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -7.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00629 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*p - 112 = -58*p. Let r(u) = 14*u**2 - 6*u - 9. Let n(h) = 2*h**2 + 2*h + 1. Let m(o) = p*n(o) - 2*r(o). Find the second derivative of m(d) wrt d.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = -4*j + 12, -j + 3*i + 11 = 0. Suppose 5*g - 279 = -t, 0 = -j*g - 5*t + 2*t + 277. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171 + 11 - 219 - 8 + 1 - 1145*k with respect to k.\nAnswer: -1145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(175\/(-10)) + 37\/30?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 3*l**2 - 4*l + 3. Suppose 6*p - 48 = 2*p. Let f = p + -14. Let u = f - -5. What is i(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*(-1 + 1). Suppose -49 = -11*f + 17. Differentiate f + y - 8*j**4 - 1 wrt j.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247545 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44915, 89833, 134749, 179663, 224575?\n\"Answer: -v**2 + 44921*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-14))\/((-5)\/7). Which is the nearest to -0.5? (a) w (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(2 - 7\/3). Let j(l) = 3*l - 1. Let w = 8 - 7. Let x be j(w). Solve 0*q = -f*q + 3*b, -4*b = -x*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:30 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -5*a**9\/504 + a**7\/42 + a**5\/60 + 5*a**4\/24 - 9*a**2 - 3*a. What is the third derivative of j(y) wrt y?\nAnswer: -600*y**3 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:54 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 18. Let f be j(-8). Suppose -f*t - 4950 = -8*t. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 4*q)*(2*q**2 - 2*q**2 + 2*q**2) + q**3 - q**2 + q**2 + 0*q**3 - 5*q**3 + 3*q**3 + 313315*q - 313315*q + 176*q**3.\nAnswer: 173*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*s - 70 = 0. What is the units digit of ((-8)\/s)\/(66\/165)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*j - 3978169 + 705239 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l + 13*l - 14*l - 2)*(-l**4 - 1 - 3 + 2).\nAnswer: 15*l**5 + 2*l**4 + 30*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, 0.2, -0.108, 36, 0.3 in decreasing order.\nAnswer: 36, 0.3, 1\/4, 0.2, -0.108, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2328253263 to the nearest one hundred thousand.\nAnswer: 2328300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.84. Let b = -2.21 - i. Let t = -0.37 - b. What is the closest to 0.2 in -0.1, -3, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8875 and 26980?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-38)\/4)\/(195\/390)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/25, 0.3, -27.8, 7, -0.5.\nAnswer: -27.8, -0.5, 2\/25, 0.3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -33, -34, -33?\n\"Answer: u**2 - 6*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5 + 1, -3*g + 47 = 2*n. Suppose p = g + 138. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/3 - 267846128*q\/3 + 4483846767787024\/3.\nAnswer: 4*(q - 33480766)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 35. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8215251 and 2987364?\nAnswer: 32861004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(99))*-1 - sqrt(99)) + -1*sqrt(99)*-3.\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6*y**4 - 56*y**3 - 138*y**2 - 112*y - 24 = 0.\nAnswer: -6, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 35*u**2 - 244*u - 188. Calculate the remainder when j(9) is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -928 by -8.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 9*d + 14. Let o be p(10). Suppose 4*h - 4 - o = 0. Let a(b) = b**2 + b - 1. Calculate a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o + 1. Let v = -4154 - -4157. Suppose y = -0*y + 6. Let m(t) = 3 + 3 - 3 + y*t**2 + 3*t. Calculate v*q(j) - m(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -3, -9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 409*t**6\/15 - t**5\/10 - 1591*t**4\/4 - 2232*t. What is the third derivative of j(i) wrt i?\nAnswer: 19632*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:35 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5564 - -5?\nAnswer: 5570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128981.\nAnswer: 128981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16558047 and 12042216?\nAnswer: 132464376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 14 = -26. Suppose 4*c = -5*p + 112, -3*c + p + 42 = -23. What is the remainder when c is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/55 - 128\/22. Let r = -5 - z. Calculate the lowest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-3)*(-51)\/(-68)*-1. Let m(h) = -13*h**3 + 9*h**2 + 9. Let i(v) be the first derivative of v**4\/4 - v**3\/3 - v - 12. Determine q*m(s) + 18*i(s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 20*b + 19. Let o = -793 + 812. Let r be z(o). What is c in -3\/5*c**3 + 6\/5*c + r + 3\/5*c**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**22*g**(-3))**(-15) assuming g is positive.\nAnswer: g**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-5)*c*c**(6\/11)*c*(c**(-1\/4))**(-17\/5))**(-3\/38) assuming c is positive.\nAnswer: c**(-6861\/8360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:33 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5192 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 take away -2?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/46 and 33\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3711 - 643?\nAnswer: -4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {s: 2, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*g + 12. Let b(y) = -y + 11. What is the units digit of b(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235.07 + -234. Let u = s + -0.17. Suppose 454*r = 472*r. What is the smallest value in u, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43597, -43625, -43653, -43681?\n\"Answer: -28*t - 43569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1833 - 703. What are the prime factors of q?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n**2 + n. Suppose -z = -5*i, 4*z = 2*i + 6*z - 12. Let p(q) = -5*q**3 - 6*q**2 - 5*q. Let g(w) = i*p(w) + 4*k(w). Find j, given that g(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*r - 5*t + 32 = -166*r, -14*r + t = -52 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9342, 37613, 84810, 150933, 235982, 339957, 462858?\nAnswer: 604685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9191*q - 73539. Determine g(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - t**4 + 3*t**4 + (3 + 2*t**4 - 3)*(1 + 0 + 0) - t + t + t**4 - 4 + 5*t**4 + 4.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12128.969 and -2.\nAnswer: -12130.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 2, h: 8}. Give prob of sequence ch.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - (-92)\/16. Suppose c = 4*c - p. Solve -20 = c*w - 4*b, -5*w = -4*w + 4*b - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4*(h*((h*h\/h**17)\/h)\/h)\/h)**(-1\/5) assuming h is positive.\nAnswer: h**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 4266248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*4\/(-5). Let p be m\/11 - 93\/(-33). Solve n - 3*o = 13, 3*o = -p*n + 2 - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*s = -j - 14, 0 = -2*s - 8. Let w = 35 - j. Calculate the greatest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d - -3a?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 738893\/3 - 246297. Determine p so that 24*p**2 + 10*p**3 - 32 - 8\/3*p + b*p**4 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.6. Let m = 2 + w. Which is the second biggest value? (a) -2 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 703, -536, -1789, -3062, -4361, -5692, -7061?\n\"Answer: -t**3 - t**2 - 1229*t + 1934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*i - 26*i - 8*i**4)*(-1 - i + 1 + (3 + 0 - 1)*(-4 + 2*i + 4) + 0*i - 2*i + i + 3 - 3 + 2*i + (5 - 4 + 1)*(i - 2 + 2) - 2 + 2 - i).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -548 - 271. Calculate the common denominator of p\/140 - (-2)\/4 and 83\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 20*j + 1 + 15*j - 41*j to o + y*j and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2426 times -0.01\nAnswer: -24.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 6*v + 36, -4*v + 16*h = 14*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 - 328*y**2 - 2186*y - 7. Calculate a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 1) + -3 + (-7 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33285 - -33279.272. Put j, 1, 2 in decreasing order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*n + 6 = 0, -5*n = -0*v + 4*v + 9. Let x(i) = -i**3 + 3*i**2 + 5*i - 2. Let d be x(v). Suppose d*s - 2 = 4. Solve y + s*y - 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1949, 1729, 1523, 1331, 1153, 989?\n\"Answer: 7*f**2 - 241*f + 2183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (2 - 5) + (-34 - -6) + 45 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -333.65\nAnswer: -1668.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -4*s**7\/105 - s**6\/12 - s**5\/30 - 7*s**3 - 208*s**2. What is the third derivative of a(j) wrt j?\nAnswer: -192*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 5, 44, -4, -1 in decreasing order.\nAnswer: 59, 44, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(22\/5)*l**26)\/(l**15)**(-5\/6))**(-9) assuming l is positive.\nAnswer: l**(-3951\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - 45c9?\nAnswer: -45aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 435*u + 43. Is o(46) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -10*t + 5*t + 140, -5*w = -4*t - 158. Suppose 0 = 6*o - 10*o - 44. Let q = o + 26. Calculate the highest common divisor of q and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14564 - 14563. Let v be -2 + (-1 - -4) - 1. What is the nearest to v in j, 0.05, -2\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(4*f - f - 7*f)*(532*f - 112*f**2 - 122*f**2 + 231*f**2) to the form s + y*f + t*f**2 + n*f**3 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 - 855.\nAnswer: -855.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -36*l. Let o(s) = -5*s. Suppose h = 19 - 25. Calculate h*u(v) + 45*o(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12\/(-21) + ((-25712)\/(-14))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31\/5 - 119\/20. Let l(h) be the first derivative of -2*h + 0*h**2 - 1 - k*h**4 + 0*h**3. Differentiate l(r) with respect to r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 2364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/2)\/((-6)\/(-6)). Suppose 0*q - 14 = q - 4*o, q + 3*o = -a. Is q at least as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 0*d + d + (-3 + 6 - 1)*(-3 + 1 - 2)*(-d - d - d) to m*d + p and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -13. Solve h = -5*u - 0*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -11 - 1. Let c(r) = -11 - 13*r + 7*r + 14*r. Calculate the remainder when c(4) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 6*b - 6. Let k be n(4). Suppose 0 = 5*f + 5*q - 20, q = -k*f - 0 + 6. Suppose t = f*t - 2. Solve 4*h + 6 = t*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**3*z*(z*z\/((z\/z**(-26))\/z))\/z assuming z is positive.\nAnswer: z**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8165 and -208.\nAnswer: 1698320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -315, 5 in decreasing order.\nAnswer: 5, -4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1 + 4*h**2 - h - 5*h**2 - h**3 + 0*h + 2*h**2. Let d be 2*9\/12*-2. Let q(y) = -4*y**3 + 3*y**2 - 3*y - 3. Calculate d*w(m) + q(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -423 + 604. Let g = x + -1265\/7. Let y = 723\/7 + -103. What is the closest to y in 3, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5248 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -2756?\nAnswer: -25\/2756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {y: 12, p: 7}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -115248*y**2 + 30962904*y - 2079648723 = 0.\nAnswer: 26329\/196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/8)\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + -2 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {k: 3, e: 3, y: 1, g: 5, c: 2, s: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 (base 13) in base 12?\nAnswer: 7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 12000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -57 + 34 + (22 - (2 + 1 + -2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 322, 768, 1406, 2242, 3282, 4532?\n\"Answer: a**3 + 87*a**2 - 8*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16*k - 20 = 0. Is -1\/135 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 10a65297?\nAnswer: -10a652a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2, -3, 5.\nAnswer: -3, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/1013?\nAnswer: -2\/1013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -27705 (b) 58 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2845)\/2)\/(100\/(-160))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130536.198 rounded to the nearest ten?\nAnswer: 130540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 5*k - y, 7259*k - 56 = 7255*k - 4*y for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2112.4862 - 2158.385314. Let z = k + 45.9. Round z to five decimal places.\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 - 1 + 7 - x - 4. Let w be g(5). Which is bigger: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Suppose 2*f = -v - 3*v + 2, 4*v - 3*f + 13 = 0. Let s(h) = -h**2 - h. Let q(l) = -l. Let r(k) = -2*q(k) + s(k). Give v*i(g) + r(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.581654 plus -50?\nAnswer: -49.418346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -n + 5*j, -3*n - 4*j + 99 = 2*n. Suppose 3*b = n + 2. Calculate the least common multiple of b and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f + -1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554849555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-6)\/3*(-219)\/(-7592)*52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109607359 is divided by 54803674?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 5. Let h be (-2)\/6 + (-14)\/u. Suppose -5*o + 183 = 2*m, 7*m = h*m - 5. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {y: 1, a: 1, f: 1, p: 4, o: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 12. What is the common denominator of (i\/(-70))\/((-10)\/625) and -69\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 362785081 and -92494.\nAnswer: 362692587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201363 or -197126?\nAnswer: -197126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l. Suppose -2*y - 3*t + 18 = -3*y, -4*y - 4 = 5*t. Let u(p) = 5*p. Let m(q) = y*d(q) + 11*u(q). Let s(w) = 3*w. Calculate s(m(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31559 and 152?\nAnswer: 252472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*c**3*h**5 - c**3 + 7*c**2*h + 12*c*h**2 + 643*h**5 - 10 wrt h?\nAnswer: -1560*c**3*h**2 + 38580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + -3 + (sqrt(147) + sqrt(147) + (sqrt(147) - (sqrt(147) + -1 + sqrt(147) + -3)) + sqrt(147) - (sqrt(147) + -4 + sqrt(147)*-1))) + 4)**2.\nAnswer: 336*sqrt(3) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 + 20308*k**4 + 223236*k**3 + 913032*k**2 + 1643274*k + 1095444 = 0. Calculate k.\nAnswer: -10143, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 265 + -186. Let d = 25 - b. Let v = 90 + d. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5120160 is divided by 2560015.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.4 (c) 2 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/261 and (156\/17110)\/((-158)\/(-395)).\nAnswer: 15399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g + 6*g - 4 - 1 - 7*g. Let o be z(-8). Solve -4*n + o = 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244696495.\nAnswer: 5, 53, 461, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9151 and -2.\nAnswer: -9153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40179 is divided by 56.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 14 - 4 = 0. Solve -w = w + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -37*r - 71. Let w be p(-6). Let c = w + -146. Solve 3*d - 4*t = -12, -6*d + c*t = -3*d + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*d**3*u**3 + 67*d**3*u*w**3 - d**3*w**3 + 15*d**2*u*w**3 + d*u**3*w + 397*w**3 wrt d?\nAnswer: 384*u**3 + 402*u*w**3 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 - 154. Suppose 0 = 2*c + 3*c - 240. Suppose -5*p + p = -c. What is the smallest common multiple of o and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(561)\/sqrt(275) - (sqrt(5100) + 1*sqrt(5100) + sqrt(5100)))\/((-2*sqrt(30)*3)\/(sqrt(110)\/(sqrt(11)*1))).\nAnswer: 149*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iioiuuyhuyyiuiu. Give prob of sequence uoy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -128757 from 49.\nAnswer: 128806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83aa + -5?\nAnswer: -83b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 7:06 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1418100 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.3 - -29. Let k = 833\/4 - 381\/2. Let d = -221\/12 + k. What is the closest to d in 0.5, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(343) + 5 - (-2 + 2*sqrt(343) - sqrt(343))) + ((2 + sqrt(343)*1 - sqrt(343)) + sqrt(343) - -3*(sqrt(343) + -1)) + 0)**2.\nAnswer: 280*sqrt(7) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104174 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/17 (b) -110\/9 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 739591003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 275897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)*j**(-5)\/j)**(3\/22))**15 assuming j is positive.\nAnswer: j**(-315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 - -209. Suppose 8*a - 17 + s = 0. What is the remainder when 28 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 1. Let b = x + -0.2. Let j = -0.7 + b. Sort 0.2, 1\/6, j.\nAnswer: j, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*6\/30*12719\/(-161)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(((-2)\/(-1))\/8). Suppose h*k + 0 = 32. Let g(a) = -a**2 + 9*a + 9. What are the prime factors of g(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9151 + 18247 - 9096 + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 11*b**2 - b - 9. Let w be l(-11). Suppose 0 = 3*q - 5*h - 25 - 7, -h = 4. Solve -4*u = -5*o, q*o = 3*u - 1 + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f**(-14)*f)\/(f**2*f**(-2\/3)*f) assuming f is positive.\nAnswer: f**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.068456 nanoseconds?\nAnswer: 0.000008068456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 26. Let m = x - 3.9. Which is the third biggest value? (a) -13 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29718421 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 4 + (sqrt(35)\/(sqrt(112) + sqrt(112) + (sqrt(112) - 3*sqrt(112)) + sqrt(7)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 58*x**3 - 13*x + 13. What is q(1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -657 and -0.82.\nAnswer: 538.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7652*d - 259882 = 177289 - 633521 - 591806 for d.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 0*n = -126. Calculate the least common multiple of n + 2 - (5 - 2) and 78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d + 12*d + 3*d - 17*d to j + z*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - ((-3 - 48) + 47)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -338, -7, -3, 842?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-3 + 1 + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1783 + 4856. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2980494, -2980497, -2980500, -2980503, -2980506, -2980509?\n\"Answer: -3*h - 2980491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 0 - 4 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -50?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 1)*(5 + -6). Let x(a) = 3*a - 15*a + 14*a + i*a. Let u(n) = -38*n. What is u(x(h))?\nAnswer: -76*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -3*(3 - 2). Let f be z\/(-3) + 10\/(-30). Let t = 5 + f. What is the smallest common multiple of 14 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaaxxxxxxvvx. Give prob of sequence vxv.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 273 and -1219?\nAnswer: -332787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/(-12) + 47\/(-282). What is the closest to 2\/55 in -5\/4, -66, i, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 47 = -4*u, -2*m + 5*u - 3 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9438643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152 - -2270?\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -8 (b) -5 (c) 30 (d) 3\/8 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014 times 4.8?\nAnswer: -0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 72. Let k be s(11). Let o(a) = a**3 - a - 10. Let c be o(0). Let v be 119\/35 + k\/c. Solve 0 = -3*n - v*x + 19, 2*n - 2*x + 9 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -1\/9 (c) 2\/5 (d) 1 (e) 23.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(10) + sqrt(30)\/sqrt(3)) - sqrt(10)) + sqrt(10))\/(sqrt(18) + sqrt(72)).\nAnswer: -10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -43000 (base 5) to base 6\nAnswer: -21151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.077 + 0.123. Let m = 3\/13 + -22\/39. Which is the nearest to -9? (a) z (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29538 and 3294034?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 18. Let d be h(-14). Put 3, -1, 1, d in decreasing order.\nAnswer: d, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 77*o + 74 - 74 in the form f + u*o and give u.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 3*i = -25*r + 57, -i = 5*r - 175. Let j be 63\/(-6)*(-242400)\/r. What is j rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + sqrt(832)*2*-2)*-5)**2*-1.\nAnswer: -187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5))\/(6\/30). Suppose x*j + s - 32 = 3*s, -j = 3*s - 4. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248 and 85200?\nAnswer: 2215200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/24 - 1\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i + 18*i - 89*i + (3 - 1 - 4)*(-3 + i + 3))*(2 - 1 + 1).\nAnswer: -200*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000268703 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15*b + 1. Let u(a) = -45*a + 3. Let j(g) = -4*u(g) + 11*v(g). What are the prime factors of j(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -27.9. Let y = 5 + c. Let a = -2.55 + y. Round a to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7522 - 103?\nAnswer: -7625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215893.619972 - -215894. Let x = -0.38 + j. Round x to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, g: 3}. What is prob of picking 2 t?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from buwujujbw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (279\/243)\/(((-648)\/48 + 15)\/9)?\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 512*n - 14647. Give h(29).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1150 and 7120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 12*g**2 - 10*g + 7. Let x be f(-11). What is the units digit of 90 - ((-25)\/(-5) + 12\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65657087 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 6. Let z(m) = 20*m**3 + 2*m**2 + m. Let p be z(-1). Let l = -4 - p. Let v be (-3)\/l - (-2)\/10. Give h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8924*y - 138041 - 181039 + 100016 = 182516 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3188272?\nAnswer: 2, 199267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -190, -385, -592, -811?\n\"Answer: -6*p**2 - 177*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-45))\/((-4)\/(-24)). Let z be (j\/5)\/(1 + (-24)\/20). Solve z*c = -h - 2*c + 5, 4*h - 20 = -2*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 170 = a, r + 185 = 6*r - 4*a. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3392 = 51997*k - 51785*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 105.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-3)\/5 + 342\/95?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)**(-16)*(d*d**(1\/4))**(-2\/13))**34 assuming d is positive.\nAnswer: d**(6987\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 723906 and 2456.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 5057398?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 2*z + 2. Let w be m(-2). Let q(t) = t**3 - t**2 - t + 1. Let o = -5 + 6. Let y(v) = -5*v**3 + 6*v**2 + 6*v - 6. Calculate o*y(n) + w*q(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*b - 117 = 0, -k + 116 = 4*k + b. Suppose 0 = 2*f + k - 65. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-7))\/(-1*(-13)\/182*12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -5.2, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - 2) + (-1 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t. Let d(v) = 3*v**2 + 3*v**2 - 4*v**2. Give a(d(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -26*a + 210. What are the prime factors of d(-66)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16531808?\nAnswer: 2, 516619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.1. Let c be (-1)\/(((-30)\/40)\/(26\/8 - 3)). Suppose 2*n - 1 - 5 = 0. What is the closest to c in v, n, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)*c**(-6))**(-11\/6) assuming c is positive.\nAnswer: c**(187\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = 5*m. Let c(j) = -2*j**2 - j + 2. Let g be c(m). Let p = g - -9. Calculate the highest common factor of 40 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/4 less than or equal to 264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/2, 1\/2, 3, 1?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*j - 87 = -2*k, 3*k = -5*j + 129. Let u = -29 + k. Let b(x) = -4*x**3 + 2*x**2 + 4*x + 3. Calculate the remainder when b(-2) is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -960, -23, -10, -4.\nAnswer: -960, -23, -10, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let v(j) = 3*j - 2*j - 4*j + j. Give v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + r + 2 + 1 = 0, -2*j = 4*r + 2. Let z be j\/(2\/(-48)) - -1. Suppose 4*s - z + 1 = 0. Calculate the remainder when 10 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 4*y)*(y**2 + 3*y**2 + 8*y**2) to q*y + a*y**2 + z + d*y**3 and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 274*i**3 + i**2 + i + 1. Let f be w(-1). Let r be f*-1*3\/9. Let g = -45 + r. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k)\/(k**(1\/5)*k)*(k\/(k*k**4*k))\/(k\/(k*k**(2\/39)*k*k)) assuming k is positive.\nAnswer: k**(-2954\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 5\/131?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:01 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 + 6*w + 2. Let u be k(-5). Let c be (2\/(-4))\/(0 + u\/15240). Suppose 2*o - 3*s = 3*o - c, o - 2541 = -2*s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 + 6 = 0. Which is the closest to 0? (a) 2 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74a0a1 (base 12) in base 10?\nAnswer: -1842169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 406 - 159 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 7*z - 14. Let u be x(2). Suppose u*a - 4*m - 2108 = 0, -2*a + a = -4*m - 533. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -48?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7495*i**2 + 1412*i + 3.\nAnswer: 14990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63652 is divided by 1027.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 + 1530*f. Let a(n) = -3*n**2 - 3*n. Give -3*a(y) - k(y).\nAnswer: y**2 - 1521*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -47. Suppose 32 - 8 = w*o. What is the third derivative of c**2 - c**2 + o*c**5 + 5*c**2 - 25*c**5 wrt c?\nAnswer: -1140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from aiaiiaiiaaai?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - 16 + 11 - 7*c**3 + 4)*(-c + 0*c - c) to the form a + i*c**4 + l*c**2 + n*c + f*c**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -10, -1.3 in increasing order.\nAnswer: -10, -1.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35737036 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*p)*(-2 + 1 + 0) + 30 - 2*p - 30)*(-3*p**2 + 4*p**2 + 0*p**2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*n - 46678 + 54226 for n.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8047558.59 to the nearest one hundred.\nAnswer: -8047600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 + -413 - (0 - -1 - 18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**2 - 27*m**2 + 44*m**2 - 85*m**2.\nAnswer: -31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145771933 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (0 - 4 - (-3 + 6 + -15))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/17)*d)*d**(1\/22))**(8\/7) assuming d is positive.\nAnswer: d**(-108\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 + 4*k**2 + 95*k**2 - 99*k**2.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) 4311 (c) -4\/9 (d) 20\/17 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 1810707668.\nAnswer: -1810707668.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86946617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3532\/6*(-387)\/(-86)*(-2)\/(-6) is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0496801 to 3 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200 + 204. Sort 2, -3, i, 3.\nAnswer: -3, 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15 = 5. Let a(h) = -2*h**3 + 10*h**2 + 5*h - 11. Let u(q) = -2*q**3 + 9*q**2 + 6*q - 10. Let t(s) = v*a(s) + 5*u(s). Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(76) + sqrt(76) + sqrt(76))*5)\/sqrt(4).\nAnswer: 4 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 746. Suppose -11*x + 12*x - l = 0. Let d = 726 - x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 468 + -463. Let x(n) be the third derivative of 0*n**4 - n**2 + 0 - 7\/120*n**6 - 1\/30*n**t + 0*n**3 + 0*n. What is the third derivative of x(w) wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -17.4. Let k = -15 - r. Is k > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/39 + (-74)\/(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 78, 113, 148?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 1. Suppose -r = 4*m - 0*m - 6, 0 = -m - 4*r - 6. Let g(s) = 2*s - 12 + s + 0*s**2 - 12*s + s**m. Let i be g(10). Calculate y(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 743 - 743.00378. What is b rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -109, -241, -425, -661?\n\"Answer: -26*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/23)\/f)\/(f\/(f\/(f\/(f*f**(-29))*f)*f)))**(-34) assuming f is positive.\nAnswer: f**(23256\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) - (-8)\/2. Let a = 0 - 0. Suppose a = -q*r + 7*r - 532. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 8. Let i = -20 - -14. Let q be (-3)\/i*10 - (2 + -1). Suppose 2*d - q*t + 0 = -8, 3*d + 2 = t. Calculate l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 118128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 8*t + 5. Let b = 12 + -20. Let n be w(b). Suppose 3*r - 27 = n. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3003 + 4?\nAnswer: -2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(4\/5))*h)**(-13) assuming h is positive.\nAnswer: h**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 53953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2\/3 + 16*u - 192 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, -2\/7, -2, 0.5 in ascending order.\nAnswer: -2, -2\/7, -2\/33, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.9 - 2.1. Let s = v - -16.8. Sort -4\/3, 2\/3, s in increasing order.\nAnswer: -4\/3, s, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + 0. Let g = 232\/963 + -2\/107. Let c be (52\/(-12) + 5)\/((-20)\/6). What is the third smallest value in c, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182483943 divided by 6?\nAnswer: -60827981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361 - 366. What is the nearest to 0 in 2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**10)*(b\/(b\/b**(-2\/17)*b))\/b*(b**(-3\/5)\/b)\/(b**3*b))**34 assuming b is positive.\nAnswer: b**(218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4689, 18866, 42495, 75576, 118109?\n\"Answer: 4726*a**2 - a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -34. Let b = 3026.08108026 - 3015.08108. Let a = b - t. Round a to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -120\/187 (b) -1\/3 (c) 115\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11.2 times -36.45337\nAnswer: 408.277744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005856404632 to 6 dps.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1080524 (base 9) to base 4.\nAnswer: 2032222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + x)*((x + 3*x - 5*x)*(-2 + 2 + 6) - 2*x + 2*x - x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -704*3796.\nAnswer: -2672384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -34*a + 196 + 245, -a + 4*d - 4 + 13 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -10, 6*s = 5*z + 3*s - 205. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 75?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.062 + 0.038. Which is the third smallest value? (a) 2 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90*a*c**2 - 2*a*t + 258*a + c**4*t + 3*c**2*t + 2*t wrt c?\nAnswer: -180*a*c + 4*c**3*t + 6*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5157\/7 + 736. What is the third smallest value in -0.3, n, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2300\/3 or 9222?\nAnswer: 9222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83)\/60 - (-6)\/45)*(-6906)\/(-63305).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4211 (b) 1\/7 (c) -1 (d) 0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -70233.\nAnswer: -1\/23411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 j when three letters picked without replacement from ssaoahjasomaahasoao?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 18*b - 18216 = 0. Let x = b - 1166. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 53 = -255. Let v(s) = -3*s + 36. Let h be v(d). Let a = 10 + -5. Solve a = -2*x - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-37 + 27 - (-15 + -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/140)\/((-23)\/1840)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93881, -375496, -844855, -1501958, -2346805?\nAnswer: -3379396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17118376 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzn when three letters picked without replacement from {i: 9, j: 2, n: 1, p: 2, h: 2, z: 4}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 21*s**2 - 21*s - 17. Let i(c) = -11*c - 86. Let g be i(-6). Does 2 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3692946334.\nAnswer: 2, 7, 11, 67, 357913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 264, 439, 626, 831, 1060, 1319, 1614?\n\"Answer: d**3 + 168*d + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 7 - 25\/(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49024 at least as big as -49023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 229, 297, 365?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwswwws. What is prob of sequence swsw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 7, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) 0.42 (b) 0.087 (c) -5 (d) 0.3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((x - x + 2*x)*(-1 - 3 + 3) + 2 - 2 - 2*x)*((1 + 3 - 2)*(-1 + 3 - 4) + 3 - 1 - 3 - 143 + 21 - 200) to the form k + r*x and give r.\nAnswer: 1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*-51.63297\nAnswer: -154.89891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {b: 2, s: 1, y: 2, q: 3, l: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from {q: 4, j: 1, m: 3, e: 1, o: 4}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4\/9 + 82*l**3\/9 + 808*l**2\/9 - 328*l\/9 - 1088\/3 = 0?\nAnswer: -24, -17, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6087632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, h: 2, p: 13}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118353 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: In base 10, what is 27 - 162?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -18*t**2 + 0*t**3 + 14*t + 45 + t**3 - 56*t. Let u(s) = 43*s**2 + 299*s + 6. Let q be u(-7). Does 5 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -1.03. Let t = 85.2 + -78. Let y = 7 - t. Sort p, y, -5 in ascending order.\nAnswer: -5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1266939205 and -4.\nAnswer: 5067756820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 11*v + 16. Let g be f(-12). Which is smaller: g or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 4*c + 15. Let j(s) = 10*s**3 - 11*s - 44. Let b(f) = 4*j(f) + 11*q(f). Differentiate b(w) wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-12)*(-3)\/2. Suppose -4*h + 2*l + x = 0, -2*h + 4*l - 2 = -4*h. Let y be 2\/9 - (-1 + h). Which is the closest to 1\/4? (a) 4 (b) y (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(14 - (12 - -7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.069, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 6*m**2 - 4 - 7*m**2 in the form q*m**2 + g + k*m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 511384801*n**4 + 678926550*n**2 wrt n.\nAnswer: 12273235224*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + ((sqrt(78) - -2*sqrt(78))\/sqrt(6))**2).\nAnswer: 3*sqrt(13) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) 2 (b) -1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.115 - 0.1149954. Round i to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 25*d - 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-67)\/18)\/((-2222)\/(-606)) and -43\/1012.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 18600*d + 28830000.\nAnswer: 3*(d - 3100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 48 = -2*w - 1, 0 = 3*m + w - 46. Suppose -7*d + m = -2*d. Let p = 4 - d. Which is the nearest to p? (a) -5 (b) -2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ggpmitgimigmotggmpgi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108442 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2807838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*j - j. Suppose j*f - 14 = -4*h, 25 + 8 = -4*f + 5*h. What is the units digit of ((-1)\/f)\/((-5)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eet when three letters picked without replacement from {t: 4, g: 1, l: 1, e: 4, w: 3}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 101000120?\nAnswer: 101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbuuruwubzwuuu. Give prob of picking 2 w and 1 r.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 15. Suppose -q*x = 2*x. What is the first derivative of x*f + 0*f - 1 + 2*f**2 - 3*f**2 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(114)*5)\/(sqrt(6)\/sqrt(3)*2))\/((6*(sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*-2 - sqrt(108)) - sqrt(108))*6)*-1.\nAnswer: -5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 3*j + 3*j)*(5 + 0 - 3)*(0 + 0 + 3)*(-3 + 6 - 1).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 842, 10, -2, 4\/5, 4 in ascending order.\nAnswer: -2, 4\/5, 4, 10, 842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 5*p**2 + 3*p - 1. Let l be w(5). Suppose -2*x = -l - 78. Let q = x + -24. Calculate the least common multiple of 6 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 798376305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31030 - 461978 = -16*m. List the prime factors of m.\nAnswer: 3, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 1305*y**2 - 2619*y - 1311.\nAnswer: 3*(y - 437)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264448 and 246887.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443.5 - 441.214. What is t rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + u + 17*u. Suppose 2*w + 3*b + 17 = 7*w, -4*w - b = 0. Let q be o(w). Calculate the greatest common factor of 176 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331 + -608. Let q = 17\/333 - 1287949\/4662. Let i = q - u. Calculate the common denominator of 41\/10 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1797 and -2?\nAnswer: 3594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*w + 90*w**3 - 753*w.\nAnswer: 90*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 437\/(-184) + (2\/3)\/((-7)\/(-21)). Put -367\/5, 4, w in decreasing order.\nAnswer: 4, w, -367\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -24*j**3 + 2*j**2 - 4*j + 37. Let s be f(-7). Suppose 30*r = s + 1265. What is the remainder when r is divided by 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -1801\/45. Let u(f) be the third derivative of 0*f - 1\/18*f**4 - c*f**5 + 0 + 6*f**2 + 0*f**3. What is a in u(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18301611.\nAnswer: 3, 73, 193, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10061 + -10060.9. Which is the closest to k? (a) -2\/11 (b) 6 (c) -6 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 6*z**2 - 9*z**2 + (2*z - 1 + 1)*(0 + 0 + z) - z**2 + 0*z + 0*z)*(12*z**2 - 12*z**2 - z**3).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 195, 287, 381, 477, 575, 675?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51721388.\nAnswer: 2, 23, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5648 = -4*l, -4*l = 10*h - 6*h + 5632. Round l to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-630)\/(-27)*156\/(-260). Let b(w) = w**2. Let t(g) = 4*g**3 + 4*g**2. Give c*b(x) + 2*t(x).\nAnswer: 8*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.43, -24, 2\/7, -1 in decreasing order.\nAnswer: 2\/7, -0.3, -0.43, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3cfd (base 16) to base 14.\nAnswer: -5993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-14)*49\/35*-30. Let k = 76 + m. Solve 0*p - k*u = 4*p - 20, u - 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 632*c - 957. Determine i(3).\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -h - 3, 2*u + h = -0*h + 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c1b7a6 + -2?\nAnswer: -3c1b7a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74657192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 97 - (15 + -10 + -15 - -2). Calculate the greatest common factor of 2093 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 16*2\/(-20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2915 and 14840.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 519018249, 519018250, 519018251, 519018252?\n\"Answer: x + 519018248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 727, 743, 769, 805, 851, 907?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(60\/(-360)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6315 minus 51877?\nAnswer: -58192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15879620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/5))**(-20)*(h*h**(2\/9)\/h)**(2\/87) assuming h is positive.\nAnswer: h**(-12524\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*l - 44 = 0, 4*n + l - 46 = 2*l. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(32\/(-8))*8\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420796769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(4 + (-3288)\/820). Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 4*w - 16. Let z be g(-7). Suppose k + 5*b = -11, 3*k - 4 = -z*b + 3. Suppose -k - 93 = -3*c. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 114 - 26 = 0. Suppose 0 = -q*y - 2*y + 2951. Let c = y + -147. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 - 7 - -2. Let m(g) = -g**3 - 3*g**2 + 3*g. What is the remainder when ((-21)\/35)\/(5\/(-125)) is divided by m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 + 4*v + 4. Let i be ((-2)\/(-7))\/(24\/21 + -1). Suppose -9 = 3*t - z + 1, -t = -i*z. Determine q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*a**2 - 3*a**2 - 4*a**2 - 21*a**2 - 15*a**2 - 7*a**2 - 3*a - 2*a**2 + 3*a + (0*a - 6*a + 4*a)*(-5*a + a + 6*a).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427c (base 16) to base 4.\nAnswer: 10021330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 5. Let o be a(0). Suppose o*g - g = 56. Suppose -9*q + g*q - 24000000 = 0. Round q to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1344 (base 6) to base 5.\nAnswer: -2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + b)*(1 - 1 - b**3) - 2*b**4 - b**4 + 5*b**4 + 2*b**3 - 2*b**3 + b**4 + (-6*b**2 - 12*b**2 - 4*b**2)*(-2*b**2 - 3 + 3).\nAnswer: 48*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saassss. Give prob of sequence aaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(2\/25))**(-3) assuming l is positive.\nAnswer: l**(-144\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/23448 - -814873\/257928. Let d = n + -32\/11. Solve -3\/4*b + 1\/2 + d*b**3 + 0*b**2 = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7806 and 1?\nAnswer: 7806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292.6 + -293. What is the smallest value in 2\/17, 0, t, -2, -0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4411.\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 144.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-13 - (-42 + -3 + 21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjjjjujujujjujj. What is prob of picking 3 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 0. Let d(q) = -6*q + 8*q**2 + 5 + 0*q - q**2 - q**3. What is d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - 17*u**2 - 38*u - 463. Let m(r) = r**3 - 5*r**2 - 13*r - 155. Let b(n) = 2*j(n) - 7*m(n). What is the units digit of b(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 5, 0.1, 9, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 3:59 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 59 = -2*p, 0 = -2*p + 6. Calculate the highest common factor of m and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -806.2 + 730. Round o to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21336301?\nAnswer: 7, 3048043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -18. Let v = p + -11.9. Let d = 0.04 - 5.04. What is the nearest to v in 2\/7, d, 1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -283*l - 306*l + 589*l + 12864*l**4 + (l + 1 - l - l)*(2*l**3 + 0*l**3 + l**3).\nAnswer: 12861*l**4 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 4*((sqrt(17) - (-1 + sqrt(17))) + sqrt(17)))**2 - 6*(sqrt(153))**2.\nAnswer: -749 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -15. Let c be ((-225)\/1)\/(-3) + t. Suppose 4*q + q = 20, -5*g = 2*q - c. What is the remainder when 51 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q + q. Solve -3 = p - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245791 = 122*s - 1362*s + 441*s - 1902*s for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14046.95383 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*x - 12 = 0, -102363*x - 46 = 6*j - 102352*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117.968 + 120. Let a = x - 0.032. What is the smallest value in -2\/7, -0.2, a, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.816 - -0.016. Let i = y + 1.9. Let t = -1.5 - i. Which is the closest to 1? (a) t (b) -5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688 and 1376?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/16)\/((-28)\/(-448)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/10)\/((-2)\/(-4)). Sort 4, 0, c in increasing order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + 131\/4. Let g = i + -10. Calculate the common denominator of g and -89\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 12*m**2 - 18*m + 12. What are the prime factors of j(9)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 3*u - u + (-1 + 0 + 3)*(-4*u - u + 3*u) + 7*u - 38*u + 8*u.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, y: 7, c: 6}. What is prob of sequence ii?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*k + 5*p + 35, 4*k = p + 16. Let x be k\/(-5) + 6\/10. Put x, -2, 3 in decreasing order.\nAnswer: 3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44 + 5780*b + 93*b**2 + 0*b**3 - 5668*b + 26*b**3 + b**4.\nAnswer: (b + 1)**2*(b + 2)*(b + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262\/(-128) + 4\/(-6) + (-1096)\/(-411)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**7\/378 + r**6\/135 - r**4\/54 + r**3\/54 + 12*r + 2. Let p(j) be the first derivative of h(j). Factor p(v).\nAnswer: -v*(v - 1)**3*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2931*(-5)\/(-9810). Let d = -2\/327 - k. Let m = -1 + -3. What is the closest to 0 in m, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/11)*((a*a**(-2\/17))\/a*a)\/a)**(-3\/19) assuming a is positive.\nAnswer: a**(270\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5438\/6)\/((-7)\/(-42)). Let q = d - 119607\/22. What is the common denominator of q and -37\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/3*3). Let p be (-28)\/48*-3*(23 - g). Let i = p - 37. Solve 0 = i*h - 5*z, -2*h - z = 3*z + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6868 and 1212.\nAnswer: 20604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 24*o + 1. Let r(i) = 83*i + 1. What is k(z) - r(z)?\nAnswer: -59*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmmmmmmmmmemm. What is prob of picking 2 m?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-26 - 14) - (3 + 11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1872) + 1)*5.\nAnswer: 3 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 1, w: 1}. Give prob of sequence rwk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13219870*-0.09.\nAnswer: -1189788.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*w**2\/7 + 4540*w\/7 + 72.\nAnswer: 4*(w + 126)*(9*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.034 + -0.644. What is o rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2108, 183, -2, 0 in ascending order.\nAnswer: -2, 0, 183, 2108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 4:58 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17500*a**3 + 4*a**3 + 40671*a**3.\nAnswer: 58175*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 424?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a - 4. Let k be x(-7). Suppose 7*p - 5*n = k*p + 4, -4*p - 2*n = -32. Solve -3 = -d - p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 - 15. Let g = -8.97 - z. Round g to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + 1d4c?\nAnswer: 1d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*v + 27, -v + 3*g - 18 = -3*v. Let o = 344 + -194. Suppose o + 102 = 4*z. What is the greatest common factor of z and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*136\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let o be -2*(-2)\/(-4)*1. Let g(y) = -2*y - 224 + 231 + 8*y. Calculate o*g(n) + 5*x(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -202*v**2 - 15150*v - 52. Calculate g(-75).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 13?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 261480.\nAnswer: 130740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7123636 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*d - 15*d + 6*d.\nAnswer: -94*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158369639*d**5 - 256655488*d wrt d?\nAnswer: 3167392780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - k - 2 = 0, -k + 0*k + 1 = 0. Suppose -35 = -8*g - x. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-59652)\/11599?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -57, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -4, -8, -44, -124?\n\"Answer: -2*k**3 + 2*k**2 + 24*k - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0 + 0*j**3 - 1\/15*j**6 - 1\/10*j**5 - 1\/18*j**4 - 5*j + 0*j**2 - 1\/63*j**7. Find a such that y(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2613658 is divided by 272?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 5952.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*y + 3. Let c = y + 1. Solve 4*i + 19 = -d, -3*d + i = -c - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228750 = -5*j - 4*k + 680507, 4*k = 2*j - 180714. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17037415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277 + 277 + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15 - 0\/(-1))\/1. Let w be (-3 + b)*1\/3. Let l be w\/6*(-27)\/(-6). Solve 0 = -l*a - 8 - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 269, 0 in descending order.\nAnswer: 269, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 + 34 + 0*k**2 + 5*k**2.\nAnswer: 25*k**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122142501 divided by 1043953.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 1710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose -3*m = -2*m - 4, -2*m = x*c - 28. Calculate the least common multiple of c and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = q - 2*k, q + k + k = -45. Let b = q + 21. Let s = -7 - b. What is the greatest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 754421.23 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 6*z - 27 + 49, l = -4*z - 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = -q, 2*c = -q + 3 + 5. Suppose c*x = 4*w + 14, 3*w + 2*x + 8 = 6*x. Is -2 + 2\/(w\/(-42)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffhhfffffhh. What is prob of picking 3 f?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - (-11208)\/32. Suppose -3*a - 4*h = 210, a + g = -4*a - 5*h. List the prime factors of (-4)\/6 - a\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 = -5*u. Let k = 0 - -2. Let y = 4 - k. Which is the nearest to 0.1? (a) u (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.5 - 26.5. Which is smaller: 87 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(132) + sqrt(132) - sqrt(132))*-1)\/(sqrt(144)\/(sqrt(96)\/(sqrt(72) + sqrt(8)))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 452 in -2, 3.7, 2?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 0*s)*(-83600*s + 41801*s + 41796*s - 2248).\nAnswer: 6*s**2 + 4496*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39788.1ms to hours.\nAnswer: 0.01105225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8391 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**5 - 3*v**4 + 47618*v**3 + 8090323*v**2 - 3*v wrt v.\nAnswer: 60*v**2 - 72*v + 285708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80029093 and 37090?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*u = 64*u + 1666. What is the highest common factor of u and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49648061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288) + 2 + sqrt(288) + -2 - (1*sqrt(288) + -5))**2.\nAnswer: 240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14744 divided by 3686.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 + -2*((-1675)\/(-180) + -4) and -79\/1062.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/20 - 7*y**4\/12 - 5*y**3\/3 - 21*y**2\/2 - y. Let h be f(-6). Solve h*t - 12 = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8715603 rounded to four decimal places?\nAnswer: -0.8716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 39378152.\nAnswer: 196890760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 103211331331 (base 4) to base 8\nAnswer: 23457575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110101 - 11101100000011?\nAnswer: -11100101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d*p**3*z**4 + 5*d*p**3*z**2 - 7*d*z**2 - 3*p**3 + 26*p*z**5 wrt z?\nAnswer: -96*d*p**3*z + 1560*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 1. Let w(r) = 1186*r**3 - 9*r**2 + 5. Let f(i) = -w(i) + 5*z(i). What is the third derivative of f(p) wrt p?\nAnswer: -7086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 440601705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let n(v) = v**2 - 45*v + 2. What is p(n(g))?\nAnswer: g**2 - 45*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:38 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -458 + 465. Calculate the highest common factor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4)*(-9*z**2 - 12*z**2 + 10*z**2) as x*z**2 + s*z + h and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1373, -0.5, -0.1, 1.\nAnswer: -0.5, -0.1, 1, 1373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 2}. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4130*y. Let i(p) = -112*p. Determine c(i(l)).\nAnswer: 462560*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 3, l: 9, o: 3, e: 2, b: 1}. Give prob of picking 1 h, 1 b, and 1 o.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 833 + 16*o - 6965*o**2 - 16*o + 6965*o**2.\nAnswer: 2*o**3 - 833","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67612143.\nAnswer: 3, 89, 253229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*y + 4. Suppose -6*m = -36 - 1044. Suppose t - 135 = -3*n - 0*t, 4*n + 3*t = m. What is the highest common divisor of n and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 93, 5, 10, -3, 11 in decreasing order.\nAnswer: 93, 11, 10, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 - 9*j**2 - 11*j - 16. Let a be q(-5). Let o = a + -686. Suppose 0*f + 4*f = -2*k + 14, -4*f - 1 = -3*k. Solve o*t + 9 + k = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*a + 62*a + 33*a)*(2*a + 0*a + 0*a + (-3 - 4 - 1)*(-1 + 1 + 2)*(2*a - 2*a - 2*a)).\nAnswer: 4080*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3852 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*b = y + 1, 2*y + 5*b - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23104?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyy. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 13. Let t(b) = -7*b**3 - 2*b**2 + 2*b - 2. Let u(m) be the first derivative of -7*m**4\/4 - m**3 + 3*m**2\/2 - 3*m - 291. What is y*u(h) - 3*t(h)?\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 33, 1, -470, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.05488 kilometers in millimeters?\nAnswer: 39054880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) - 34*3\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505721660.\nAnswer: 2, 5, 79, 331, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 4)\/1 + 4. Suppose 373 = 7*a - 6*a - b*p, 4*a = -3*p + 1435. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 2:12 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*5\/(-20)*91\/(-65).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/7, 1\/29, 1\/7, 4\/25.\nAnswer: -4, 1\/29, 1\/7, 4\/25, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g - g**3 + 8*g**3 + g**3 - 21*g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64008\/2032)\/((-9)\/12)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/8)\/(99\/8 + -15). Suppose -3*o - 2*q + 21 = -6*o, 9 = 3*q. What is the nearest to -1 in o, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1424 = -15*t + 17*t. What is the remainder when 44 is divided by t\/(-32) + 3\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -33*f**4 + 5*f**3\/3 - 5*f**2\/2 - 5. What is the third derivative of u(b) wrt b?\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 111\nAnswer: 14\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -28*f**5\/5 + 16*f**4 + 4*f**3 - 32*f**2 + 16*f + 57. Let l(p) = 0. What is p?\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + 137. Let j be 22 - (2 + -1 - 0). Let i = j - r. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-6)\/16 - 867\/(-264)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91282 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 + 10?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (132\/7)\/((-129)\/(-2408)). What is the highest common divisor of 32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 1619, 3642, 6485, 10148, 14631, 19934?\nAnswer: 26057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(150)\/sqrt(3) - sqrt(50))\/(sqrt(40)\/sqrt(4)*-5))**2*6.\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -243*r**2 + 134*r**2 + 1 + 0*r + 0*r + 35*r**2. Let i(c) = -5*c. Give f(i(u)).\nAnswer: -1850*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**3 + 4*p - 5. Let w(q) = 6*q**3 - q**2 + 4*q - 4. Let z(f) = 4*w(f) - 3*x(f). Let i(j) = j**3 - j**2 + j - 1. What is -4*i(l) + z(l)?\nAnswer: -l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 21208136*w - 112446258148624.\nAnswer: -(w - 10604068)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -186\/100171 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**3*t**2 + 4*s**3 + 81*t**2 - 47 wrt t?\nAnswer: -4*s**3*t + 162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - 1. Let o(y) = -7*y**3 - 3*y**2 - 7*y + 1. Let n(l) = 6*g(l) - o(l). Determine n(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298234?\nAnswer: 2, 41, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 13*i + 51*i - 44*i + 5*i**2 as w*i + u + b*i**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 6*g**2)*(-4*g - g + 4*g) + 0*g + 0*g + 2*g**3 + 3 in the form h*g**2 + i*g + o + z*g**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*v + 180*v + 1054 = 50*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 16031, -2\/5, 6 in ascending order.\nAnswer: -3, -1, -2\/5, 6, 16031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.685 + -0.705. Let j = 0.02 + g. Let s = j + -13. Which is the closest to 1? (a) 1 (b) -1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/a)\/(a\/a**(-1\/7)*a)*a**(6\/7)*a\/(a\/a**5) assuming a is positive.\nAnswer: a**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -744\/1056587 or 0?\nAnswer: -744\/1056587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + m + 31 + 34, 4*m = 2*l - 8. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, k: 1, b: 1, f: 1}. Give prob of picking 1 k and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.353 + -0.4. Let y = w + -26.953. Let i = y - -26.66. What is i rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 594d0 (base 14) to base 2\nAnswer: 110101001010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ubukkuukuuubuuuubuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 455 - 191. Let t = 302 - k. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/5 + 679*q - 849\/5.\nAnswer: (q + 849)*(4*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-24)\/(-2)*(-38)\/190*5\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(2\/(-18) + (-10)\/45). Suppose 3*y - z = -15. Suppose 0 = -y*u + 20*u + 64. Let w(l) = l**2 + 7*l. What is w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18003\/110 - 804\/5. Calculate the common denominator of -15\/14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 38*y**2 + 0*y**3 + 0*y**3 - 19 - y**3 - 126*y + 130*y. What are the prime factors of b(38)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7146 = -1239*h + 1383*h + 198 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z + 76. Suppose 4*j = 1 + z. Suppose j*g = 2*c + 33, -3*g + 18 = -0*g - 3*c. Calculate the greatest common divisor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 2*q - 4 + q.\nAnswer: 3*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.155 - 0.145. Let k = 0.2 + -4.7. Let z = -4 - k. Which is the nearest to l? (a) z (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2 (b) -2\/5765 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(2\/21)*j))\/(j*j**9))**(-2\/25) assuming j is positive.\nAnswer: j**(466\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17612 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (12 - 10 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16593637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 50. Suppose -v + x = -4*j - 10, 0 = -5*v + 3*j + 60. Let q = 31 + -13. Calculate the greatest common factor of q and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30045047?\nAnswer: 1481, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a682 + 5?\nAnswer: -a67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62442326 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4838036?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -15\/2708 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 8*g + g - 5*g - 17*g.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -224422*p + 2468629. Calculate c(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100111001101110010 (base 2) to base 11.\nAnswer: 1302336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -417, -943, -1671, -2595, -3709?\nAnswer: -5007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/60 - y**4\/24 - y**3\/6 + 319*y**2. Let n(s) = 3*s. Suppose 0 = -5*c + 2*c + 6. Give c*i(m) + n(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213016737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 39, 65, 111, 183, 287?\n\"Answer: n**3 + n**2 + 2*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61181 divided by 317?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1643 - 1822 - 941 = 35*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + h = -2*h + 33, -5*h + 25 = -3*k. Let a = k - -19. Solve a*l - 20 = 0, 5*o + 2*l = -0*l + 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvqfmffqq. Give prob of picking 1 m and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -12*s**2 + 46*s - 50. What is j(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Suppose -6*q - 54 = 24. Let c = l - q. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (160 + -1)*2\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -17*g**2 + 9*g**2 - 3*g + 7 + 10*g + 6*g. Let a(j) = -3*j**2 + 4*j + 2. Let m(h) = 7*a(h) - 2*s(h). What is the second derivative of m(r) wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 24566347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -1. Suppose j = -3*v + 8. Suppose 2*c - 8 = -v*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518.185494 minus -0.655?\nAnswer: -517.530494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.949 millennia in months?\nAnswer: 2291388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**7\/7 - 37*x**6\/3 - 70*x**3\/3 - 95. What is the third derivative of s(k) wrt k?\nAnswer: 120*k**3 - 4440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -339819580 to the nearest 1000000.\nAnswer: -340000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73969.03 + 74508. Let d = 549.96 - 13.96. Let l = d - m. Round l to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 n when four letters picked without replacement from {n: 12, b: 7}.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:26 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8737, -8738, -8739, -8740, -8741, -8742?\n\"Answer: -c - 8736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327764744 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from sfxywxfssf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8113995159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 41*f**2 + 1 + 4*f**3 + 35*f**2 + 0*f**4 - 4*f**4 - f to the form y + s*f**3 + h*f**2 + r*f + j*f**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42 and 0.418.\nAnswer: 42.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52\/5 of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + m**2 + 2*m - 1)*(-9 + 34 - 3)*((0*m - 5*m + 4*m)*(-4 + 2 + 3) + 10 + 12*m - 10)*(-1 + 5 - 2) to l*m**2 + q*m**3 + d + w*m and give q.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 6*w + 7*w - w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1519*n**3 + 40*n**2 - 158*n. Let v(o) = 1011*o**3 - 26*o**2 + 105*o. Let r(u) = 5*i(u) + 7*v(u). Find the third derivative of r(s) wrt s.\nAnswer: -3108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/3 - (-2216)\/12 - -1?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1350*i**3 - 75*i - 75. Let s(j) = 71*j**3 + 4*j + 4. Give 4*c(k) + 75*s(k).\nAnswer: -75*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 4*q - 3. Suppose -18 = 4*k - 7*k. Let w be o(k). What is the highest common factor of 18 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ataiiiataajitcti. Give prob of sequence ci.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 117 - (-6)\/9*3. Let g = i - 54. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-13*q + 6*q - 2*q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 12, 3*w = -3*q + 3 + 18. What is the lowest common multiple of ((-154)\/(-28))\/((-1)\/(-24)) and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 6 = 0, 199*w - 5*j = 204*w + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 966034, 966022, 966006, 965986?\n\"Answer: -2*c**2 - 6*c + 966042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = 0, -4*r - 4*j + 192 - 52 = 0. Solve 9*i = 17*i - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -y + 38, -2*o - 11*y + 7*y - 30 + 2 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191 times -0.142?\nAnswer: -311.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 1. Let r(w) = -9*w + 1. Let i be -3*(-1)\/12 + (-12)\/(-16). Let c(k) = i*r(k) + 6*f(k). Give c(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - -71. Suppose 2*a = -a + q. Let w = a - 30. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8382 + 5*u**3 + 8382.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*t + r**3 + 9701*r**2*t - 3*r*t - 13*r - 121*t wrt r?\nAnswer: 6*r*t + 6*r + 19402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9045 times 3?\nAnswer: 56.7135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6480 and -181\/119880.\nAnswer: 239760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/11, -0.02, 286\/5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3)*(-6 - 4*c + 6)*(-4*c - c + 2*c) + 3*c - 3*c + c**2 + (2*c**2 + 4*c**2 - 4*c**2)*(2 + 0 - 1) - 4*c**2 - 1 + 1 as p + d*c + m*c**2 and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 149597844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217\/(3895\/(-82) - -51)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*s = -170 - 235. Which is the nearest to 2? (a) 2\/5 (b) 1\/6 (c) 110 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 3*p - 10. Let u be q(6). Let c be 3*2*(-32)\/(-6). Calculate the greatest common factor of u and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -3 + 8 + (-13 - (-35 + 21))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = 4*i, 2*y + 0*i = -4*i + 12. Solve y*u - 1 = -9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c + 911*c - 217*c + 28*c.\nAnswer: 785*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81526, -163045, -244556, -326059, -407554, -489041, -570520?\nAnswer: -651991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*t, 1174 = 5*c - 4*t - 561. Let x = 547 - c. Let h = x + 601. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(3 - 7) - 2. Suppose 9*p - y*p = 149052. Suppose -3*r = 154684 - p. Round r to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12123 - 11002302?\nAnswer: -10330113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6 - 3 = -17, 7*j + 3 = n + 9*j for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1. Let h(n) = -2*n**2 - 6*n + 4. Let w(y) = -6*a(y) - h(y). Let d(x) = 2*x**2 + 26*x + 19. Let c be d(-12). Determine w(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -2\/7 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 38. Let f(t) = 2*t**2 + 18*t + 60. Determine f(m(h)).\nAnswer: 8*h**4 - 268*h**2 + 2264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3760*h + 197 + 192 - 389.\nAnswer: -3760*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/9920 and -103\/930?\nAnswer: 29760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q**(1\/33)*q*q)\/q)\/q)\/q**(-4\/7)*q**(-15)\/q**(2\/15) assuming q is positive.\nAnswer: q**(-13319\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (240\/(-192))\/(2\/(-8)). Sort -14, -3, a, -2 in increasing order.\nAnswer: -14, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.4741ml to litres.\nAnswer: 0.0564741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39906599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 3*f**2\/4 - 7933*f\/4 - 130815\/4.\nAnswer: (f - 95)*(f + 17)*(f + 81)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1854, 3712, 5570, 7428, 9286?\n\"Answer: 1858*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 3*b - 2. Let c be m(-2). Let i(k) = k**2 + 6*k + 3. Let y be i(-6). Let n be c*1\/((-3)\/y). Solve 5 = x - 2*l, n*l + 3*l = -5*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -7. Suppose 5*q - s - b = 0, -5*s = -q + 5*q - 26. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 21 = 12*m. Let t(v) = 17*v - 28*v**3 - 19 - m*v**2 - 6*v**2 + 29*v**3. What are the prime factors of t(12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 27*p + 2394. Is t(0) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w**2 - w + 2. Let h be f(-5). Find the common denominator of 121\/18 and 4\/((-48)\/h) - 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrrphhrhrrprrfr. What is prob of sequence rhf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 254 = -866. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/4)*d)\/d)\/d)**(-17)\/(d**(-4\/15)\/(d*d\/(d**(-13)\/d))) assuming d is positive.\nAnswer: d**(1741\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/7, 0.1, 2893?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 8, x: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/100*5)\/((-6)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sunlllloolusls. What is prob of picking 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10 - a - 4 - 3*a**2 + 2*a**2 + 0*a. What is the remainder when 13 is divided by q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r + 2. Let g(d) be the second derivative of 7*d**3\/3 - 3*d**2\/2 - 6*d. Let k be (-11 - -1 - 0)\/(-2). Determine k*g(z) + 8*u(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553230 rounded to the nearest 10000?\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 17*g**2 + 4*g - 10. Calculate the remainder when 65 is divided by n(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 + 441 = -7*m. Suppose 2*i = -i - 276. Let y be i\/m + (0 - -1 - 4). What is the closest to y in 3, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5554101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.212 - -23.712. Which is the nearest to -9? (a) 4 (b) -29 (c) x (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - (1 + -6)) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680616 divided by 226872.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.113 - 50.887. Let j = -55 - z. Sort -1\/12, j, 5 in ascending order.\nAnswer: j, -1\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q + 6. Suppose 3*h - 4*g - 34 = 35, 2*h - 5*g - 46 = 0. Let w be (h\/3)\/(q\/2100000). What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276740327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 123914, 247815, 371706, 495581, 619434, 743259, 867050, 990801?\n\"Answer: -y**3 + y**2 + 123905*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 89 = 5*v + 19, -4*v + 2*b + 58 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*o**2 + 1169*o**2 - 310*o**2 - 290*o**2 - 284*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and (-2)\/2*2\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-12)\/3 - (-14 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - 79. What is a(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*z - 32 = 0, 28 = d - 4*z + 6*z. Suppose -284 - 76 = -d*f. Solve f = 33*o - 30*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*96\/128)\/(3\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qtqtqq.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s**2 - 13*s**2 - 149*s**3 - 3*s**2 - 152*s**3.\nAnswer: -301*s**3 - 95*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, p: 9}. Give prob of picking 2 s.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:20 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 15. Let m be j(5). Suppose 17 = 4*i - m*r + 2, -4*i - r = 3. Suppose i = 2*y - 12 + 4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 3, f: 3}. Give prob of sequence oyyf.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-36) + 411\/27. What are the prime factors of 19 + -2 + y\/3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 8 - 10 = 0. Suppose i = x - 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**2 + 8*u**2 + u**2. Let o(q) be the third derivative of -q**5\/60 + 5*q**3\/2 - 91*q**2. Let c(v) be the first derivative of o(v). Give i(c(x)).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2040 and 3468?\nAnswer: 34680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {c: 1, z: 1, v: 2, i: 1, g: 1, o: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 3)*(k + 2*k + 0*k)*(0 + 1 - 2)*(-1 - 1 + 4).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 3*o**2 + 2*o**2)*(4*o**2 - o**2 + 0*o**2) + 4*o**2 - 4*o**2 - o**4 + (-207 - 26*o**4 + 207)*(0 - 3 + 5).\nAnswer: -59*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 20. Suppose 6 = -2*b, a*b + 87 = -3*k + 4*k. Suppose y - k = j, -5 = 3*y - 5*j - 231. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 75 = 285. Let b = i + 71. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36897*g**4 + 56858 with respect to g.\nAnswer: -147588*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6891, 6821, 6751, 6681, 6611?\nAnswer: 6541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgjhghghgjh. Give prob of sequence gg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g**2. Let w(y) = 5*y + 2. Give w(f(a)).\nAnswer: 75*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o + 60*o = -415. What is the hundreds digit of (o + 81)\/(2\/(-313))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21640 and 194760.\nAnswer: 194760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - m - 33, 0 = 4*g - 0*m - 3*m + 45. Let a be -1 - -3 - (g + 0). Let h = 24 - a. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 0.574955.\nAnswer: -0.634955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 + 13 = 34*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -488 - 144*i**2 + 259 + 232 + i as s + g*i**2 + m*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1387, -302 in increasing order.\nAnswer: -302, -1, 1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61401 is divided by 3065.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -120. Suppose -2*x + 7*t = c*t - 28, -x + 4*t = -20. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 29*v - 57*v + 32*v + 100, -2*m + 4*v + 94 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d - 0*d. Let a be 9\/27 - 82\/d. Solve -z - 27 = 5*h, -11 = 3*h + 5*z + a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 34*r**2 - 155*r + 262. What is the least common multiple of 592 and k(38)?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 2*p - 1. Let r be b(-2). Let s = -14 + r. Let c(j) = -j**2 + 7*j - 5. What is the least common multiple of c(6) and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 431 = -403 - 244. What is the remainder when 678 is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 385 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/4)\/(-3)*(-568)\/213. Solve -4*j + 8 = 2*t + z*t, -4*t = -j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -19*p**3 + 8*p. Suppose -n - 5 - 15 = 4*l, 0 = l - 3*n + 5. Is c(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3 - -110) + (66 - 72) + 20.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 3*s. Let l be y(-3). Suppose -4*m + 0 - 4 = l. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 + -41 - 12) + -34?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 3\/(-3)*3. Is 6 a factor of (24\/(-8))\/(((-4)\/q)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 5248 = 340*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 101189.\nAnswer: 101189.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1598 divided by 265483.\nAnswer: 1598\/265483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35\/61 - -428\/427. Suppose -3\/7*q + 3\/7*q**3 - i + 3\/7*q**2 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 + 9*o**4 + 2*o**4 - 6*o + 1 + 17634*o**3 - 17657*o**3 to k*o**3 + f*o + t*o**4 + v + g*o**2 and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 17*w - 37. Let g be v(13). Suppose -g*s + 3 = -18*s. Sort s, -11, 0.\nAnswer: -11, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.832 - -8.532. Which is the third biggest value? (a) 1\/6 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954391?\nAnswer: 954391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 10*g**2 - 5*g - 7. Let a be j(-7). Let o = 0 + -21. What is the smallest common multiple of a\/o + 2\/6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15124 + -8070.\nAnswer: 7054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 10911*g**3 - 5398*g**3 + 9 - 5421*g**3.\nAnswer: 92*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230033 and 129.\nAnswer: 29674257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -631?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**4 - 13695544*j**3 - j**2 + 1418*j + 23 wrt j.\nAnswer: 144*j - 82173264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 92 - 4)*(-3*q - q + q) - q + 2*q - 3*q + (-1 + 2 + 1)*(-2*q + 0*q + q) as g + k*q and give k.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18176, -36427, -54678?\nAnswer: -72929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -73. Suppose 83 - c = 2*j. What is the highest common divisor of j and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-6)\/(-20)*60\/(-648)*-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385 and 1954295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1033982 + -1033996.00001. Let n = -13.998 - 0.002. Let g = n - i. Round g to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -18197924\nAnswer: -236573012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 110*u - 3013. Let s be q(54). Solve 0 = -5*d - r - 4*r - 25, d + 3*r = -s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -13439?\nAnswer: 30\/13439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let y be a*(-3 + (-2 - -4)). Suppose -j + 49 = y. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 0*i**3 + 296*i + 297*i - 598*i - 5*i**2 + 5. Let y be l(-3). Sort 15, -3, y, 1.\nAnswer: -3, 1, y, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5\/7 - 1341*f**4\/7 - 158601*f**3\/7 + 161277*f**2\/7 + 158598*f\/7 - 22848 = 0 for f.\nAnswer: -98, -1, 1, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 12) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 49\/10, -0.321, 2, -367, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t - 175888 - 8*t**3 + 175888.\nAnswer: -8*t**3 - 38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1358\/582)\/((-1)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 - (181 + -161)) + 96?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, q: 2, k: 3, u: 1, l: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*h**2 + 53*h**2 - 81*h**2 - 25*h**2 + 383*h**2.\nAnswer: 496*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 + -84 - ((3 - 6) + -11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -304*u + 894. Determine l(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9*y = -u + 23, -2*u - y = -2. Let j(v) = 10*v**3 + 4*v**2 + 5*v - 13. What is the hundreds digit of j(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*m = -1253 - 2527 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + 3*u**3 - 6*u**2.\nAnswer: 3*u**2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/15, 3\/7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = b + 175, -3*b - 235 = -4*m. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - (144\/14 - -4). Let y be (6\/(-8))\/(c\/56). Suppose -j + 2*g + 9 = -2*g, -3*j = -g - 5. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11342*r**3 + 24192 wrt r.\nAnswer: 34026*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10032)\/(-2926))\/(3\/(-14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30.0763l?\nAnswer: 30076.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2178, 4287, 6404, 8529, 10662, 12803?\nAnswer: 14952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 38 = -3*o, 4*z - 89*o + 88*o - 130 = 0. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -17*b**7\/7 - 3*b**3 + 13. What is the third derivative of u(d) wrt d?\nAnswer: -2040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -406, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 940 and -100068342?\nAnswer: 100069282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - 4. Suppose -3*v + 6*v + 23 = -2*p, p - 2*v - 6 = 0. Is 20 a factor of a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q + 38. Let d = q + 64. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 19*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2012531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 y when four letters picked without replacement from {v: 5, s: 5, y: 3, z: 5, g: 1}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**3 + 6*k**2 + 6*k - 5. Let p be (0 + (1 - -2))*2\/(-6). Let s(f) = -f**3 - f**2 - f + 1. What is p*m(l) - 5*s(l)?\nAnswer: -3*l**3 - l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 16) to base 10\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -7. Let v be (o\/16)\/((-2)\/12). Which is the closest to -1? (a) 4 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-20)*-8)\/(186\/(-465)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -15*k - 1. Calculate z(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -2. Suppose -o = -3*d - 0*o + 295, -2*d - g*o + 204 = 0. Calculate the greatest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/6)\/l**1*l**6*((l\/l**(-2\/9))\/l)\/l assuming l is positive.\nAnswer: l**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-176*v + 12*v - 261*v)*((v**2 - 4 + 4)*(4 - 3 + 0) + v**2 + 2 - 2) in the form o*v + l*v**3 + y*v**2 + t and give l.\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/13)\/c*c*c)\/(c*c*c\/(c\/c**(-2\/21))*c)*(c*(c*c*c*c**(3\/8)*c)\/c)\/c**(2\/3) assuming c is positive.\nAnswer: c**(2881\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 1875 = -39*u. Let k = -307 + u. What is the tens digit of (-38)\/57*k\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*v - 58712*c**2*v**3 - 1116*c*v**3 - 4*c*v**2 + v**3 wrt c.\nAnswer: -12*c*v - 117424*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 20\/8)\/(125\/500)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122233 - 20?\nAnswer: 122213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -16. Suppose 152 = 5*u - r*z - 73, 3*z - 111 = -3*u. Let i = u + -3. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(175)*-2 + -1.\nAnswer: -20*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5151 + 5154. Let g(d) be the second derivative of 0*d**x + 0 + 9*d - 17\/2*d**2 + 8\/3*d**4. Find the first derivative of g(o) wrt o.\nAnswer: 64*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 21*r + 21. Give v(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*s + 5, -23 = 101*s - 106*s + 2*m. Solve -p + 8 = s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1532.79 kilograms?\nAnswer: 1532790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - a**2 - 884*a. Let s(m) = -m**3 - 2*m**2 - 881*m. Calculate -3*s(p) + 4*z(p).\nAnswer: -p**3 + 2*p**2 - 893*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 1 + 4*n + n. Let p be -1 + -2 + (-8)\/(-2). Let q be o(p). Let l(s) = s**3 - 6*s**2 + 4*s - 3. What is l(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccoc when four letters picked without replacement from {c: 3, o: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4268537 is divided by 940?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b47a + -365?\nAnswer: -19b823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*i = 12 - 428. Let k(q) = -5*q**2 - 7*q - 9. Determine k(i).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2279*n - 12. Let t(c) = -1228350*c + 6465. What is 2155*g(l) + 4*t(l)?\nAnswer: -2155*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 10:43 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**2 - 2562*w + 88034 wrt w.\nAnswer: 6*w - 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/7660554 and 37\/3933798.\nAnswer: 145550526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5538.534 micrometers?\nAnswer: 0.000005538534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let g = 2.67 + -2.8. Let t = -0.27 + g. Which is the second smallest value? (a) v (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b - 51*b = 0, -3*u - 3*b - 8 = -35 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 75.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, 25, 87, 167, 271?\n\"Answer: t**3 + 43*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Suppose -2*o + g*o = -10. Calculate the smallest common multiple of o and 3683\/435 + 2\/(-15) + (-70)\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1868309 to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9522 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198931?\nAnswer: 11, 89, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1764\/41160)\/((-10)\/140)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -44256, -5, 2, -2, -10 in ascending order.\nAnswer: -44256, -10, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11488135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-102)*(1\/3 + 1888\/(-480))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 12*u + 380. Let z = -46 - -70. Calculate the lowest common multiple of z and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3598 divided by -2.\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.047 + 0.1018. Round t to three decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -41, -78, -131, -206, -309, -446?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -91. Let o = h - 17. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 7*h - 2. Let j be w(6). Let q be (j - (-15)\/(-10)) + (-5 - -2). Which is the second biggest value? (a) 0.2 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9182080.\nAnswer: 2, 5, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*s + 34 = 0, -39*o - 20*s = -7*s - 10*s - 114 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26691 is divided by 635?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 83*a**2 - 167*a + 367. Give w(81).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*a + 0*a - 243 = 0, -2*i - a + 231 = 0. What is the highest common divisor of 99 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 2194389630?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*l = n - 30, 7*n + 2*l = 5*l + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 18 = 11*b. What is the nearest to 1 in b, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 5, n: 1, v: 6, j: 2}. Give prob of picking 1 n and 1 s.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(2*s**2 - 2*s**2 - 2*s**5) - 3 + 3 + 2*s**5 - s**5 - 2*s**5 + 5*s**5 - 76917717*s + 416*s**5 - 16*s**4 + 76917717*s.\nAnswer: 422*s**5 - 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + -8 + 5 + -18 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*t + 189, g - 63 = -6*t + t. Suppose g*q = 58*q + 20. Let j = 0 + 3. Solve 0 = j*f - 9, f + q + 5 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) - (sqrt(2448) + -2*sqrt(2448)*-5)))**2.\nAnswer: 8812800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4926*u**2 - 6622 wrt u.\nAnswer: 9852*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.96 - -0.21. Let h = -33 - j. What is h rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 - l**2 + 3*l**3 - 5*l**2 + 0*l**2 = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 5, 0, 25, 2, 363, 3 in descending order.\nAnswer: 363, 25, 22, 5, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -9. Let u = a - -8. Is u less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j. Let i(b) = -10*b + 1. Calculate i(g(o)).\nAnswer: -140*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 2*n**7\/7 + 4*n**3\/3 - 13*n. What is the second derivative of z(g) wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 31*q**2 - 11*q**2 + 25*q**3 - 16*q**2.\nAnswer: 25*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1242 = h, -12*u + 13*u - 5*h = -630. What are the prime factors of u\/(-3)*-36*13\/(-195)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y + 21. Let b be r(0). Let l = 19 - b. Does 11 divide 41 + l + (-1 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1852.8 - -1852.4. Which is the third smallest value? (a) 2\/13 (b) 0.1 (c) -0.5 (d) 4.2 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Let x(m) = 1166 - 1166 + 16*m**2. Determine p(x(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*o - 204427 + 204147. Suppose 0 = 5*z - 116 - 294. What is the lowest common multiple of z and o?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 + 1b?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232120312003 + 12?\nAnswer: 232120312021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v + 3209 - 4229 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 12) + -12 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 - 6*p**2 - 7*p**2 + 20*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s*s\/s**2)**(3\/8) assuming s is positive.\nAnswer: s**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3441 - 3441 - 72*b in the form y*b + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 566 and -7280?\nAnswer: -4120480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -95*a**4\/4 - a**2\/2 + 12*a - 67. What is the second derivative of b(q) wrt q?\nAnswer: -570*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 3*a. Let p be m(3). Suppose 2*w - 4*l - 50 = p, 3*w - w - 45 = 3*l. Suppose 10*c - 375 = 5*c. What is the greatest common factor of w and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 5395930*v + 1455803028245 = 0. Calculate v.\nAnswer: -539593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let p(i) = -i**2 + 59046. What is p(s(c))?\nAnswer: -c**2 + 59046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {o: 4, g: 2, m: 5}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 6*x)*(4 - 1 - 1).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7097*t + 28383. Determine j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 0.2\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1309824436 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - n + 1. Let r be a(1). Factor r*q**2 - 2*q**2 + 0*q**2 - q - 8*q.\nAnswer: 3*q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1132 + 1901424*m**3 - m**2 - 3*m**2 - 1901426*m**3 - 3*m**4 in the form n + v*m**4 + r*m**2 + g*m**3 + s*m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 53*d - 264 = -1748 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168 minus -6059326956.51?\nAnswer: 6059326956.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 - 7*f + 5. Let o be v(7). Let a = o - -13. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 4, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 2 (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1012)\/(-30))\/22 + 4\/6. Which is the closest to 4? (a) j (b) 0 (c) 4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by 399\nAnswer: -79\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*y + 8 + 10 = 0, -5*y - 13 = 4*i. Let x = -173387 - -173679. Calculate the remainder when x is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217\/51 - -78\/17. Factor 0*t + 0 - 4\/3*t**4 + 0*t**2 + 4\/3*t**3 + u*t**5.\nAnswer: t**3*(t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 149, -16.077, -0.4 in ascending order.\nAnswer: -16.077, -0.4, 4, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/((-1)\/6). Suppose 0 = -d*m - 0*m - 9. What is the units digit of (m\/(-3) + 1)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -12. Suppose 0 = b + 5*d - 15, -16 = -i*b - d - 2*d. Suppose -11 = -3*t + 10. Calculate the least common multiple of t and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 16. Let t be g(13). Suppose -t = -5*d + 4*z, -4*d - 5*z + 2 + 6 = 0. Suppose 0 = d*f, -2*j - 3*f = -3 - 1. Solve 3 = -j*c - c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23000 + -22982. What is the third smallest value in 2\/13, -23, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 114015250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 701 - 698. Suppose -3*g - t*z - 12 = -9, -3*g + z = -9. Solve -g*i - 12 + 22 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227104723 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 1. Let v(u) = 105*u + 5. Determine v(h) - 6*x(h).\nAnswer: 123*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 4*w + 0*w)*(-4 + 4 - 1)*(-2 - 2 + 5) to u + k*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 1. Let x(y) = y**2 + 5*y - 4. Let h(d) = q(d) + x(d). What is h(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (15 - -26) - -10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.5 and 83?\nAnswer: 2199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-5)\/((-225)\/(-225)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 41. Let b be o(0). Suppose 5*m - 6*m + b = 0. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1349, -1166, -845, -386?\n\"Answer: 69*i**2 - 24*i - 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*z + 10 - 24 = 0, -4*v + 5*z - 26 = 0. Is 26 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - p**2 - 4*p + 2. Let v(a) = 25*a**3 - 26*a**2 - 19*a + 8. Give 4*t(j) - v(j).\nAnswer: -37*j**3 + 22*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*g + 331 = 36*g + 31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -10*d + 4*u - 854, -4*u + 514 = -3*d. Let m = 176 + d. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22425\/20 + -6 + 1. Let o = f + -75729\/68. Is o at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-14)\/(-56))\/(10\/8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 10299858.\nAnswer: -5\/10299858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.2, -5, 7, -0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 4. Let i be 4\/(-10) - (-270)\/50. What is the third derivative of 0*b**i + 7*b**5 + b**y - 5*b**5 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 2}. What is prob of picking 1 i and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 76155, 3.\nAnswer: 3, 4, 76155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 146*f**2 - 604*f + 5623. Determine h(142).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85513 rounded to two decimal places?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p. Let z be b(4). Let u = 217 - 141. Let w be (-122)\/u + (-18)\/z. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52886?\nAnswer: 2, 31, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 934, 312, -5, -2 in ascending order.\nAnswer: -5, -2, 95, 312, 934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*p + 2. Suppose 68 = -p*y + 7*y. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 705, 806, 973, 1206, 1505, 1870?\n\"Answer: 33*g**2 + 2*g + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 4*f - 17. Let s be a(-7). Suppose 0 = -s*c - c + 285. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**2 + 1187*q - 1187*q.\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 562818 by 38.\nAnswer: 14811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -566*j*k**3*p + 3*j*k**2*p + 132*j*k**2 - 7*j*p + 52*k**3*p + 2*k**3 wrt k.\nAnswer: -3396*j*p + 312*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -404559*w**5 + 123*w**4 - 72395243*w**2?\nAnswer: -24273540*w**2 + 2952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295366, 295381, 295396?\nAnswer: 295411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Let h = 0.25 + -0.35. Which is the nearest to 2\/5? (a) 1\/2 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441231 (base 10) to base 12.\nAnswer: 193413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5625 divided by 15\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24495.624 rounded to the nearest 100?\nAnswer: -24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 22*c - 40. What is d(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70393441 - 4.\nAnswer: -70393445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 6. Let c be v(3). Let h(i) = -7*i - c + 6*i - i - 2. Let a be h(-4). Solve -a*z + 12 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1660000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -0.4, -1\/22, -0.5, 25.1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -10429?\nAnswer: 10425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9411 is divided by 1864?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 538954879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (sqrt(1078) + sqrt(1078)*2 + sqrt(1078))\/(sqrt(288) - sqrt(288)*-2) + (-3*(sqrt(99)*-2 + sqrt(99)))\/(sqrt(54)\/(-1*sqrt(6))))**2.\nAnswer: 160*sqrt(11)\/9 + 5291\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/360 and -103\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 368, 735, 1102, 1469?\n\"Answer: 367*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 33 + 20 + 23*p**2 - 22*p + 65. Let d be w(-24). Sort 0, d, 24 in decreasing order.\nAnswer: 24, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -2*p, -5*p - 4*w = 13 - 5. Suppose 4*u = p, -4*m + 3*u - 560 = 4*u. Let y = m + 252. Is y a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -1.38\nAnswer: 45.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 101101111010?\nAnswer: -101101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/18 and (-3)\/(-9) + 692\/48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-115)\/(-92)*(4\/5 + -1). Let n = -96 - -83. What is the biggest value in n, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11340031303 + 0?\nAnswer: 11340031303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 41 = f, -2 = 3*f - 5*f. Let p = 144 + -72. What is the greatest common factor of b and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99525\/382 less than 262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 28.8, 0.05, -5, 0.1, -0.2, 0.4 in descending order.\nAnswer: 28.8, 0.4, 0.1, 0.05, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1561172 + 2467245. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**6 + 1017*l**5*r - 2*l**2 - 6*l - 33*r wrt l.\nAnswer: 120*l**3 + 61020*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 4, 0.4, -0.508, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(112)*3 + -4))**2 + 2 + (5 + (1 + sqrt(448) + 0 - sqrt(448) - (-5 + -1 + sqrt(448))))**2.\nAnswer: -576*sqrt(7) + 4690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**5 + 8677*t**4 - 15379*t**3 - 43942*t**2 + 39564*t - 7416 = 0.\nAnswer: -2, 2\/7, 1\/2, 3, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6945, -3, 3, 0.4, 2 in descending order.\nAnswer: 3, 2, 0.4, -1.6945, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9569.569 to the nearest ten.\nAnswer: -9570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -108, -172, -238, -306, -376?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 33 + 3 = 0. Let i = d + 6. Let h = i + 6. What is the remainder when 6 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12564 by 4188.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-14))\/(1 + 18\/(-20)). Factor 11*h + 29*h + 35*h**2 + 5*h + w*h + 5*h**3 + 25.\nAnswer: 5*(h + 1)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-14)*-2*(-2)\/3*918\/(-510)?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68588 is divided by 3429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 9, 9\/5, 1, -3 in decreasing order.\nAnswer: 9, 9\/5, 1, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 761706 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: Solve -2*i**3\/17 + 48132*i**2\/17 + 1493898*i\/17 + 2795252\/17 = 0.\nAnswer: -29, -2, 24097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135279 is divided by 1099?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (21 + -191 + 124)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -5*f - 47735. Let t = -6798 + f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304214?\nAnswer: 2, 37, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4672 - 4665. Let u(r) = -39*r**3 + 7. Let j(w) = -19*w**3 + 3. Calculate x*j(y) - 3*u(y).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2. Let g(a) = -a + a + 6*a. Give g(b(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 232602 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 12*m**2 - 188*m - 2597. Determine t(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2526.96 - 2627. Round l to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 9. Let u(t) = 6*t + 327. What is -4*p(a) - u(a)?\nAnswer: -2*a - 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27444 and 206?\nAnswer: 2826732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - -1) + -8 + (-2 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49359 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 409, 0, 737 in ascending order.\nAnswer: 0, 3, 409, 737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 260\/6 + (-2)\/(-3). Suppose -i + 0*i + j = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 191 = -60*i - 194. Let d(j) = 2*j**2 + 6*j + 6. Give d(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-2052))\/(12\/(-38 + 14)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 9*u**2 - 9*u + 8. Let p be d(-10). Let k be p\/(-1 - 603\/(-597)). Let r be (k - 1)*75*9. Round r to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6912 and 121500?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/13? (a) 0.19 (b) -0.1243 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-290)*(-8)\/(-6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95209, 95225, 95237, 95245?\n\"Answer: -2*y**2 + 22*y + 95189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -98, 8, -0.5, 2\/7, -0.81?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 331 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 2*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4358 - 376*m**3 - 228 + 375*m**3.\nAnswer: -m**3 - 4586","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let m be z\/(-3) - 6\/(-36). Put 1\/7, -0.1, m in descending order.\nAnswer: m, 1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*k = -k + 69, 3*k = -r - 19. Put 4, 7, r in increasing order.\nAnswer: r, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(550) - 1*sqrt(550))\/sqrt(11) - 1*sqrt(450))\/(sqrt(490) + (-1*sqrt(490)*4 - sqrt(490)) + sqrt(490)) + 3)**2.\nAnswer: -4*sqrt(5)\/7 + 201\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + 1ca1d1?\nAnswer: 1ca1e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/39 - (-15)\/(-13))*-238. Suppose 15*s - 212 - d = 0. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*f - 48. Suppose -4750 = -10*g - f*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -62 (b) -1\/12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (sqrt(847)*-4 + sqrt(847)))**2 + 0.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x + 83. Let j be b(-3). What is the highest common divisor of j and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -19.4. What is the closest to -0.2 in -1\/5, r, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631961505?\nAnswer: 5, 15991, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 21*p + 4, s = 5*p + 18. What is k in -8 - 79*k - 5*k**2 + s + 0 - 236*k = 0?\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90250*a*o**3 - a*o**2 - 2*a*o + 1131*a - 16*o**3 + 96 wrt o?\nAnswer: 541500*a - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - x**2 - 4*x - 6. Let q(m) = 2*m**3 - m**2 - 3*m - 5. Let s be (-4)\/(-1) - (-24)\/(-3). Calculate s*q(i) + 3*o(i).\nAnswer: i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 3, x: 2, i: 6, c: 2, l: 1}. Give prob of sequence cz.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/(1\/(-3)). Let y = -0.3 - -0.1. Let t = 29\/3 + -25\/3. What is the closest to 0.1 in t, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/50)\/(-1*1\/5). Let -2\/5*y**3 - n*y - 6\/5*y**2 + 0 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -5 (c) 10.3 (d) 3\/2 (e) -36 (f) 1 (g) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 136201 = -4*d - 40149, 2*q = -5*d + 120083. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8, 5*l + 4*y = l + 8. Suppose 11*z - 5*z = l. Let b = z + 11. What is the highest common divisor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3725 and 2660842?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -137\/472?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 25, -2*h = 2*x + x - 686. Does 45 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + n**4 + 0*n**4)*(4 + 2 - 4 + (1 + 1 - 1)*(-3 - 2 + 7) + 6 + 6 - 15).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 750.54825 minutes in days?\nAnswer: 0.5212140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 10*b + 11. Let h be 2 - (1 + 3 - 11). Let d be f(h). Calculate the remainder when 26 is divided by 1\/d + 65\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(u + 3*u - 6*u) - u - 2*u + 4*u + 3*u - 2*u - 3*u + (-1 + 3 - 1)*(-7*u + 3*u + 3*u) + 5*u + 3*u - 3*u + 6*u + 3*u + 9*u.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -3505*i**8\/336 + 471*i**4\/4 + 6*i**2 + 5*i. What is the second derivative of w(z) wrt z?\nAnswer: -70100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 725*d - 720*d - 25. Suppose -22*u + 108 = d*u. Solve u = -6*x - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrqxrxxxrmrxtxrrm. Give prob of picking 3 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = 0, 2*k - 2*b + 179 = -b. Let r = -25 - k. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28529 - 8584. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-7)\/2)\/(-7). Suppose -2*n + 8 = p, 5*p = -2*n - v*n + 32. Calculate the lowest common multiple of 3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3171*d - 9517*d + 3170*d + 3170*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-9 - 1 + 3)*(6 - 1 - 2)*(2*a + 0*a - a) to the form w*a + d and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l + l)*((2*l + 3*l - 3*l)*(-l + 1 - 1) + 2*l**2 - 5*l**2 + l**2).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 31*r - 26*r. Let f(k) = 5 - 1783*k + 3575*k - 1793*k + 9. What is f(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**3*t**2 + 530*i**3 - 42*i*t**3 with respect to t.\nAnswer: -12*i**3*t - 126*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 12*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -3*v + 236. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 2*d**2 + 27*d**2.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265069?\nAnswer: 7, 19, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*n**4 + 68*n**2 + 1667*n?\nAnswer: 156*n**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 17*i**2 + 3*i**3 - 6*i - 3 - 10*i**2. Let w(b) = 2*b**3 + 4*b**2 - 3*b - 2. Calculate 6*g(o) - 10*w(o).\nAnswer: -2*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:21 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:09 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8, 0*g - 4*g + 4*t - 576 = 0. Let b = g - -149. Suppose k**4 + 0 + 1\/2*k**5 - k**2 + 0*k**b - 1\/2*k = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4152\/19 >= 3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59447 - 862*n - 59447)*((2 + 2 - 5)*(-4 + 4 + 2) + 1 + 1 - 1).\nAnswer: 862*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9960297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37657303 - -11?\nAnswer: -37657282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -10 - (0 - 3)) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 192871 and 2.\nAnswer: 192873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*w + 32, 5*w + 35*z = 3*w + 7*w + 31*z - 26 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-3*n**2 - 4*n**2 + 5*n**2) + 362*n - 121*n**2 - 362*n.\nAnswer: -125*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + 8*n**3 + 21*n**3 + (0 + 2*n + 0)*(-n**2 - 3*n + 3*n) - 5*n**2 - 3*n**2 + 13*n**3 - 10*n**3 as f + g*n + a*n**3 + y*n**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1377258 divided by 8662\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/17 in 0, 4, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -285879 or -285882?\nAnswer: -285879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-27) + (-205)\/9. Let y = i + 67. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*a - 40 = 0, 0 = -5*j - 3*a - 0*a + 660 - 1366 + 657 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/126*6*(-8 + (-23)\/(-2)). Let t = -4 - 4. Let i = t + 12. Are c and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.102, 0.1, 4?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 3*(((2*sqrt(400))\/sqrt(5))**2 - (sqrt(20)\/(sqrt(4) + (sqrt(20)\/sqrt(5) - sqrt(4))) + -5*sqrt(20) + sqrt(5)))).\nAnswer: 72*sqrt(5) + 2868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16610669 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631, -2315, -5115, -9031, -14063?\nAnswer: -20211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2618 + 2628. Solve 15 = -o + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:08 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 8 = 49 - 6. Suppose -30 = 3*p + 3*h, 0 = 4*p - 2*h + h + 15. Put p, f, 0, 2 in increasing order.\nAnswer: p, f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-49)\/8)*(-11)\/(-44)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 186 = -s, -526 = 4*s - 3*y + 203. What is s rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 4*b**2 - 6*b - 9. Let s be (-5 - -7)*15\/(-6). List the prime factors of m(s).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i + 428. Calculate p(-35).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464845500 rounded to the nearest one million?\nAnswer: -1465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11008284.\nAnswer: 2, 3, 7, 29, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8245 is divided by 1039.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2 + 5 + 13*j + 4*j**2 - 2*j**2 + 9. Does 10 divide h(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54, -33, 12, 93, 222, 411, 672?\n\"Answer: 2*x**3 + 7*x - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.33 - 0.07. Suppose 3*s + 59*h - 63*h = 8, 5*s - 18 = 2*h. Which is the second smallest value? (a) s (b) 7\/3 (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-1 - -8 - (10 - (-14 + 15)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 94 = 5*g - 0*g, 5*p - 2*g - 109 = 0. Let j = -141 + 204. Calculate the greatest common divisor of p and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4\/7, -0.4, 7\/8, 17, -0.8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/56 and -37\/301.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68642947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 11*n**2 + 341. Let c(m) be the first derivative of m**2 + 1. Determine c(v(t)).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r + 26*r - 12*r. Let v(d) = 3*d + 9. Let k(m) = 2 - 2 + 1. Let l(t) = 9*k(t) - v(t). Calculate -2*h(y) - 3*l(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 5. Let j be (3\/2)\/((-39)\/(-728)). Calculate the highest common divisor of z and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/9 (c) -0.1 (d) -186 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 + 4 - (47 + 2) - -10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:09 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1477*j - 10 = 1476*j, 3*p + 4 = -5*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 - (3 - (10 - 9)) - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/136269 and 151\/1302126?\nAnswer: 11719134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30605 by -190.\nAnswer: 6121\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37c084 (base 14) in base 11?\nAnswer: 10990a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599008047 a multiple of 2939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)\/(a\/(((a**0*a)\/a)\/a*a)))**(1\/31)\/((a*a**(-2\/9)*a)**(7\/11)*a**7*a**(2\/17)) assuming a is positive.\nAnswer: a**(-450569\/52173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5056 - -3?\nAnswer: 5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 4*o**2 + 2*o + 2. Suppose z = -4*c - 11 + 57, -2*c + z + 20 = 0. Suppose 2*j = c*j + 27. Give y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 20*m**2 - 82*m - 96. What is l(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2 + 19*h + 90 = 0 for h.\nAnswer: -10, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1755\/312)\/(3\/(-20))*(-2)\/70.\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*g = -192*g + 5*f - 235, 4*g = 5*f + 325. Calculate the remainder when 235 is divided by g.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290017 and 4186?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/111*(-21)\/6552*-78.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**2 + 25*i + 19. Let z(n) = 13*n**2 + 37*n + 29. Let t(l) = -7*g(l) + 5*z(l). Factor t(w).\nAnswer: 2*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/77))\/((h\/((h\/(h\/h**(4\/29)*h))\/h*h))\/h)*((h\/h**(1\/8)*h)\/h)\/h**(2\/51) assuming h is positive.\nAnswer: h**(910781\/911064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/31 in 0.06, 3, -6, -58, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 14*n**2 - 12*n + 21. Let v be r(13). Suppose 61 - v = -3*w. Which is the third smallest value? (a) 0.4 (b) w (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/17)*y*y))\/(y\/y**(1\/2))*(y*y**0*y)**(-2\/49) assuming y is positive.\nAnswer: y**(-2439\/1666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*a = -a - 10, 4*a + 19 = 5*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610069491 a multiple of 8634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 114*l**2 + 111*l + 82. Give w(56).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -44*l - 1. Suppose 3*b = 340*t - 338*t - 28, -3*b = 6. Calculate the remainder when r(-2) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2*g - 9)*(-2 + 2 - g + 2) + (-2*g + 4*g - g)*(2*g - 2*g - g).\nAnswer: g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 5*b + 5*b + (b + 4*b - 3*b)*(-2 + 1 + 0) - b - 1 + 1)*(-6*b**3 + 4*b**3 - 3*b**3).\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 14 = -5*b - 6, -4*b - w = 2. Suppose -3*o - 3 = b, 4*q + 87*o = 89*o + 2730. What are the prime factors of q?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 8*r**2 + 10*r + 9. Let s be 202\/(-5) - (-6)\/(-10). Let n = s - -44. Suppose p + n*o = -18, -4*p + 8 = -2*o + 24. Calculate b(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**2 + 5*r + 1. Let h be (-1)\/(-1) - ((1 - 3) + 7). Let x be q(h). Let o = x + -24. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 25 - (112 - 103) - (3 + 15) - 136.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - sqrt(475)*3) + 1)**2 + 1 + 5.\nAnswer: -20*sqrt(19) + 1907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/289*(1377\/(-126))\/9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from wpwpqqyqqwpqyypy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) 1 (c) 1\/4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(sqrt(18)*2 + sqrt(18)))\/(sqrt(6) - sqrt(54)*-6))*2*-5.\nAnswer: -40 - 120*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**3 - q - 1. What are the prime factors of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*h - 28 = 4*t - 572*h, 0 = 3*t - 3*h + 12 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u**2. Let i(y) be the second derivative of 11*y + 0*y**2 + 0 + 0*y**3 - 1\/4*y**4. Calculate r(i(q)).\nAnswer: -90*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53828*p - 53828*p - 424*p**3)*(0 + 2 - 3)*(-3 + 1 - 3).\nAnswer: -2120*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 51*d. Let c(h) = -15*h - 3. Give c(t(r)).\nAnswer: 60*r**2 + 765*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 313*a - 25460. What is b(-67)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, 1 t, and 1 z when four letters picked without replacement from etggznzneesg?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8956, -35817, -80586, -143263?\nAnswer: -223848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24697088 and 28960.\nAnswer: 123485440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*q**3 - 3 + 3 - 901*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 6 = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 45, -3752, 4, 5 in increasing order.\nAnswer: -3752, 1, 4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001903475 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 4*m - 3*m + 5*m**2 - 9*m**2.\nAnswer: -4*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 5. Let q = -13 + 9. Let o be u(q). Let w be 1 - o - 64\/(-30). Put w, 0.5, 3 in descending order.\nAnswer: 3, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0 + 33*p**2 + 3\/2*p**3 + 3\/8*p**4 + 0*p. Let q(u) = 8*u + 8. Calculate -5*o(z) + 6*q(z).\nAnswer: 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 5450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-1)\/(-14)). Suppose -3*j = -b*j. Suppose 7*y - 4 = 6*y. Solve j = -0*k - y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-10 - -8)*5643\/1782.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1015 - 722. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*x + 20 = -90, -3*x = 5*d - 105. Let g be (d - 15)\/(1\/19). Calculate the greatest common divisor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*i - 3*o, -6*i + 80*o = 84*o - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21080 (base 12) to base 14\nAnswer: -11ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5757385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (-2 + sqrt(5) + 0 - sqrt(5)) + (sqrt(5) - 4*(sqrt(5) - sqrt(5)*-2))**2).\nAnswer: -3594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 0) + 77 + -89.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000061348 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487.889 - 490. Let c = p + 0.011. Let u = c - -2. What is the third biggest value in u, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*h + 128, -11*h + 284 = 5*w - 7*h. Let y(t) = -t**2 - 10*t - 5. Calculate the remainder when w is divided by y(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17328061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/3 - 4*d. Let j(s) = -13*s**2. Calculate p(j(x)).\nAnswer: -676*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 7*b**2 - b - 8. Let d = -13 - -15. Suppose d*o - 41 - 15 = 0. Suppose 6*r = 2*r - o. What is f(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - -2*10\/(-8)*-2. Let p = c - 6. Solve z = t - 1, p*z + 6 = 5*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/6 + 2*l**3\/3 - 2*l**2 + 31*l. Let v(d) = -d**2 + 3*d - 5. Let t(m) = -2*b(m) + 3*v(m). Determine t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11480 and 4480.\nAnswer: 183680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19334*y**4 - y**2 - 212*y + 19 wrt y.\nAnswer: -464016*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -367310 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 3)*(-2 - -3). Let x(h) = h**3 - 4*h**2 + 3*h. Let l be x(2). Let v = t - l. Let i(b) = -4*b**3 - b**2 - 2*b - 1. Calculate i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21202 - -212000?\nAnswer: 130132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10450 = 22*i - 33*i. Calculate the highest common divisor of 38 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 6 + 0 + 6*i**3 - 2 wrt i?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dui when three letters picked without replacement from {i: 3, d: 3, u: 1, o: 3, p: 1, t: 6}?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 6*c - 2*b = 2087, 4*b - 8372 = -4*c. What is the units digit of (-24)\/(-3) + c + -35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9280*c - 10680*c + 1947*c + 2780*c to x*c + t and give x.\nAnswer: -15233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -538, -1863, -4454, -8731, -15114, -24023?\nAnswer: -35878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 41*f**2 - 113*f + 120. Differentiate s(g) wrt g.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + sqrt(216)*3 + sqrt(216))\/((sqrt(144)\/sqrt(6))\/sqrt(12)).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2155 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)*a\/(a*a**25))\/((a*a\/(a*a*a\/a**(-26))*a)\/(a**(-2\/43)*a)) assuming a is positive.\nAnswer: a**(502\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222 - -238. Calculate the remainder when 58 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 29. Let m be 160\/(2 - h)*2. Let x = m - 18. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 457031 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-54))\/((-19)\/76))\/((-6)\/(-45))*-9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**3 - 40*g**2 - 3970*g - 8. Let n(i) = 6*i**3 - 27*i**2 - 2647*i - 5. Let k(y) = 8*n(y) - 5*t(y). What is the second derivative of k(h) wrt h?\nAnswer: -12*h - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9991\/449 - -3\/1796. Let z = -2531\/93 - -234\/31. Find the common denominator of z and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 33. What is the least common multiple of k and (285\/20 + -6)*12?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + h + 4*h - 1, -2*h = 3*y - 13. Let b be (-2)\/3 - 268\/(-18)*y. Suppose 15*t - 16 = b. What is the smallest common multiple of 32 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsvf when four letters picked without replacement from {f: 1, j: 1, v: 1, b: 5, s: 3, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 3*w)*(10 - 42 + 78).\nAnswer: 46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1343 from 0.\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (-4*(sqrt(1539) + -2)*-1)**2).\nAnswer: -1728*sqrt(19) + 74067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + b - 12 = -2*b, 3*b - 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*22\/(-33). Suppose -3 = -n + d. Let l be (-1)\/(1 - 2) - n. Sort -4, 0, l in descending order.\nAnswer: 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 3. Let i be 26*(2 + -3)\/2. Let u = i - -8. What are the prime factors of r(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 3*v**2 - 5*v**2)*(0*v - 6*v - 10*v) + (-2*v**3 + 5*v**2 - 5*v**2)*(7 - 2 - 4).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*t - 41, -t - 17 = -5*h + 4. Let r be t\/(-5) - 18\/(-10). What is the greatest common factor of r and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19 - 20 - (-1 + -4). Let y be (-8 + 1)\/(i\/28). Let g = y - -93. What is the smallest common multiple of g and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -53*s**3 - s + 1. Give o(1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -2 (c) 2.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.6081 grams in tonnes?\nAnswer: 0.0008946081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16*t = -120. Is 563 + t\/15*3 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*((-7)\/(-2) + -4). Suppose l*d + 2*d = 0. Solve 4*g + 8 = d, -3*k + 2*g + 14 = -2*g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -139581738\/11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or -131\/2?\nAnswer: -131\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-16 - -12 - (17 + 4))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.147277ml in litres?\nAnswer: 0.002147277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1274*y**3 + 1274*y**3 - y**4 + 4 - 3*y - 2*y**2 to q + m*y**4 + k*y**3 + x*y + h*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/11)\/(p**(-16)\/p) assuming p is positive.\nAnswer: p**(193\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 47012955.\nAnswer: 188051820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-21)*(-1)\/((-11)\/(-33)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9361 = -12*r + 1763. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let f = 3.27 + -3.37. Sort -3, c, f.\nAnswer: -3, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 9 = 3*x, -2*x = -29*i + 30*i - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3869872.33 to the nearest one thousand.\nAnswer: 3870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14*t. Let x(l) = -36684*l. Give h(x(n)).\nAnswer: 513576*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 787508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - v = -2, -c - 26 = c - 4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190 - -276. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -924 by 6.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 9:58 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 100*h**2 - 9798*h - 182. What is j(98)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g - 120 = 0. Let c be (6\/(-9) - 0)*g. Suppose -5*i + c = -0*i. Solve 2 = -3*j + i*o - 21, 5*j - 10 = -3*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1362 and 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1469863*i - 1469775*i.\nAnswer: 88*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + 9545\/6. Suppose -2*b = -165 + 3299. Let g = n + b. What is the common denominator of g and -61\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, -21, -4 in decreasing order.\nAnswer: 4, -4, -21, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-6 + 2 + 16 + -19)) + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-69)\/(-414))\/(1\/4*-2). Let z = -1 + -1. Which is the nearest to -0.2? (a) z (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 - (0 + -11 - (-88 - -95)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1801, 7223, 16259, 28909?\n\"Answer: 1807*x**2 + x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1954 and -1.188.\nAnswer: -0.2321352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 2\/7 (c) 0.12 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4844\/(-3872) + (-65)\/(-52). Is f != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 14) to base 2\nAnswer: -1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 126090 = -125346. Suppose 5*u + 2*o = 171, 2*u - 2*o = 23 + 37. Calculate the remainder when i is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1265 - -5569\/3795. Let j = 3\/1296824 + -24213649325\/3890472. Let z = -6200 - j. What is the common denominator of z and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28455)\/16260 - (243\/(-64) - -2)?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -2.6. Let q = 0.4 + -0.3. Sort i, 3, q.\nAnswer: q, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236935 is divided by 59224?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12)*(-2)\/(-28)*-60*(-126)\/162?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 0, -5, 2 in ascending order.\nAnswer: -48, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -171 - 1307*q**2 + 53 + 2*q + 118 in the form j*q**2 + p + u*q and give j.\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320743.\nAnswer: 41, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + j = f + 88, 0 = 3*f - 5*j - 240. Suppose -f = -2*m + 207. List the prime factors of m.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -69. Suppose 6*k = 3*k + j. Suppose z = 43 - k. What is the greatest common factor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/56)\/((-7)\/49). Solve 2*z = -f*m + 7, 5*z - 3*m + 3 = -32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000039244 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m + 1. Suppose -4*j = -3*r + 182, -2*r + 3*j + 296 = m*r. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7193755 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -0.21.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*c - 32, -4*k + 2*c + 24 - 2 = 0. Suppose 0 = k*w + 4*h - 573, 0 = -4*h + h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91*t**2*z**4 - 906*t**2*z + t**2 + 94526 wrt z.\nAnswer: -364*t**2*z**3 - 906*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/26 + (11 - -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80.3 + -80.307739. What is w rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Find the second derivative of p + 5*p**4 - j*p**4 - 2*p**4 wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:17 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 30*k**2 - 97*k + 20. Let i be m(-5). Solve -j + 31 = -2*z + 44, -i*z = j - 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 4. Suppose -t + 4 = 2*z - z, 4*z + 3*t - 11 = 0. Let x be z - (-4 + (1 - -1)). Let a = x - 5. Give d(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*b - 8 - 19, 3*g = -3*b + 45. Suppose 3*w - 7 = 2*l, 3*w - 5*l = -w + b. Solve 0 = -5*p - 25 + 5, -3*x + w = -p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543009 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*1 - (-282 - 2544)*(-2)\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 12*p + 1096. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 6. Let n(w) be the first derivative of -w**2\/2 + 5*w - 5. Let f(o) be the first derivative of n(o). Calculate 6*f(u) - z(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -20*u - 58. Let g be f(-3). Factor 0 - 1\/2*y**g + 1\/2*y**4 + 1\/2*y**3 - 1\/2*y**5 + 0*y.\nAnswer: -y**2*(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -v - 5545089, 2*f - 2772537 = 30*v - 31*v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(25\/22))\/(9\/(-45)). Suppose 0 = -3*o + p + 20. What is the remainder when ((-1)\/(-3))\/(1\/123) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*b + 15 + 22 + 9 - 46.\nAnswer: -245*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -14*s**2 + 43*s - 83. Let t(y) = 6*y**2 - 21*y + 41. Let m(d) = 2*h(d) + 5*t(d). What is m(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*i - 1. Let l = i + -4. Solve 3*k - 5*n + 35 = 8, l*n = 4*k + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 5 = 41 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 2*p**2 + 5*p - 10. Let b be s(-10). Let w = -8601 + b. Let f = 54979\/8 + w. What is the common denominator of 121\/20 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807 is divided by 106.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65518980 is divided by 478?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -27 - 13. Let h = 4 - 3.7. What is the second smallest value in 3\/7, h, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 168210180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -45*u + 26*u + 20*u. Let w be 44\/12 - 2\/3. Let m(j) = -13*j**2 - w*j**2 - 13*j**2. What is m(c(s))?\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116233778?\nAnswer: 2, 58116889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 118, -5, -3864, 4?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0*t - t**3 - t - t) - 39*t + 10*t**3 + 39*t.\nAnswer: 9*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -32. Solve t - 2*m = -2*t - 14, -11 = 2*t - o*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 8*m + 8. Suppose -8 - 4 = -6*n. Let g(r) = 2*r**2 - 5 - 2*r - 7*r + 4*r - 4*r**n. Calculate -8*g(y) - 5*j(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 232, 1498, 2764, 4030, 5296?\n\"Answer: 1266*v - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - x - 20 = -5*x, -3*x = -5*h - 17. Sort h, 0, 2 in descending order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1687*m**2 + 8 + 3370*m**2 + 7*m**3 + m - 1688*m**2 - 6*m**3. Let l = 4 + 2. What is the units digit of v(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -11*h**4\/12 - 421*h - 1. Let t(l) = -16*l. What is g(t(a))?\nAnswer: -2816*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.1. Let g be 4\/(-18) - (-124)\/(-9). Let c be 35\/12*(-4)\/g. What is the smallest value in s, c, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 4. Give c(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - z**2 - z**2 + (-41 - 90 + 70)*(3*z**2 - 4*z**2 + 3*z**2).\nAnswer: -124*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/8 + 765*g**2\/16 + 771*g\/4 - 1819. Suppose p(r) = 0. What is r?\nAnswer: -2, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 16*j - 2. Let s be u(-7). Let a = s - -113. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.6 - 0.4. Let h = -35488\/5 - -7097. What is the closest to 2\/3 in -0.5, a, h, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 1.8. Let q = 1.5 + l. Suppose a - b - 29 = 3*b, 4*b = -16. Put 0.5, q, a in descending order.\nAnswer: a, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -0.03. Let s = d + 0.44. Which is the second smallest value? (a) s (b) 0.1 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 11 - 7 + 43*q**2.\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 234, 0.08, 0.109, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 99. Let r = 170 + -679\/4. What is the second smallest value in r, -11, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 - 4*n**2 + 3*n. Let t(g) = -g**3 - g**2 + g. Suppose -5*s - 8 = -k - 1, 0 = 3*s + 3*k - 3. What is s*b(o) + 3*t(o)?\nAnswer: o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 3, -2\/9, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2. Let t(u) = 42*u**2 + 3. Determine k(t(r)).\nAnswer: 22932*r**4 + 3276*r**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0*o**3 + 66*o + 10*o**2 + 0*o**4 + 7\/20*o**5 + 0. Differentiate f(y) wrt y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*b**2 - 261310*b - 12904 = 0. What is b?\nAnswer: -3226, -4\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558210 to the power of 1\/2, to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or -1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 80564.\nAnswer: 6928504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1100) - (sqrt(1100) + -3 + sqrt(1100) + 0 + sqrt(1100))) + -3 + sqrt(110)\/((sqrt(1470) - sqrt(30) - sqrt(30))\/sqrt(3)) + 5.\nAnswer: -99*sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + 4*h**3\/3 + h**2 - 17. What is d(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.084 (b) 241.7 (c) -23\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/(n*n\/((n\/((((n*n**0)\/n)\/n)\/n)*n)\/n)*n))**(3\/10))**12 assuming n is positive.\nAnswer: n**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from mmmoommomm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17*d - 5. Let n be o(-5). Suppose 4*x + 5*v - n = 0, 2*v - 34 = -2*x + v. Let y be x\/6*1*-2. Let c(s) = s**3 + 4*s**2 - 5*s + 3. What is c(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4324\/7 - 616. Which is bigger: l or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 3, -0.5, 1\/4, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - -8 - ((-19 - -25) + -15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 14. Put -3, 4, k in descending order.\nAnswer: 4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 35 = -3*z. Suppose 6 = t + 2*o, 5*o - 6 = -2*t + 3*o. Calculate the lowest common multiple of z and (0 - -6) + (3 - t).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26366517673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12808126?\nAnswer: 2, 6404063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 11 = -586*c + 591*c, 6*b + 12*b = -3*c - 69 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 12:58 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10783333 to the power of 1\/2, to the nearest integer?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l + 0 - 5 + 6 - 5 + 66*l.\nAnswer: 42*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:03 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.13096 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*s - 2*s + 3961*s**2 + 2 - 25274*s**2 to the form k*s + x*s**2 + o and give x.\nAnswer: -21313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61, 102, 139, 178, 225?\n\"Answer: x**3 - 8*x**2 + 58*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 1\/80*r**5 - 1\/12*r**3 + 0*r + 4*r**2 + 5\/96*r**4 + 0. Factor z(d).\nAnswer: (d + 2)*(3*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 962726245 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 21*f**4 + 1909*f**3 - 10388*f**2 - 11124*f + 1152 = 0.\nAnswer: -96, -1, 2\/21, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1055*z + 10858 + 39782 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h - 3. Let u be x(-2). Let d = u - 9. Solve 0*l - l + 3 = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 167*y - 2843. Determine s(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 9, y: 3, c: 4}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4490.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-98) + (8\/28)\/(36\/21)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -74*t**3 + 17*t**2 - 37*t - 11. Let i(x) = 25*x**3 - 6*x**2 + 13*x + 4. Let d(v) = 17*i(v) + 6*w(v). What is the hundreds digit of d(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2. Suppose -17 + 5 = -2*q. Suppose 24 = 4*n + 4*o, -2*o = -2*n + n - q. Let z(j) = -12*j - 3*j**2 + 8*j**n + 12*j. Determine z(w(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**2. Let v(k) = k**2 + 2*k + 1715. Determine v(y(m)).\nAnswer: 49*m**4 - 14*m**2 + 1715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*v*v**(1\/11)*v*v**(-22)\/v*((v**0*v)\/v)**(1\/23))**(-10) assuming v is positive.\nAnswer: v**(1860\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -27*l - 18 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 - 27*a**2 - 41*a - 106. Let y(l) = -l**3 + l + 1. Let t(i) = -p(i) - 4*y(i). Let c be t(-25). What is the highest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 20. Let u be b(-3). Let h be 6 - (5 + (-2 - u)). Solve -5*i - 2 = 3*l, h*l = 4*i - 23 - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -58 (b) -4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1102.6 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 6. Let b be u(-10). What is the derivative of -2*m - 13*m**b - 24 + 3*m + 0*m - 20 wrt m?\nAnswer: -52*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**2. Let k(v) = -v - 5. Let y be k(4). Let d = -7 - y. Let w(h) = -d*h - 24 + 24. Calculate w(b(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 127024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5173, 5136, 5099, 5068, 5049?\nAnswer: 5048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -acf184 - 1?\nAnswer: -acf185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 - l**2)*(-15*l + 3*l + 3*l) + 5*l**3 - 1 + 1.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1696 or -1699?\nAnswer: -1696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124914 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + 1\/2. Suppose -4 = -5*z + v. Sort z, 4, 2 in ascending order.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-93) - (-4)\/6)\/((-134)\/804)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((36\/8)\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28438 - 15131. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 0*n**3 + 6*n**3 + (-4 + n + 4)*(-n**2 + 0*n**2 + 0*n**2).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 47. Let x = h - 24. Suppose x*t = -5*z + 48, 4*z = t + 41 - 13. Solve 2*o = -2*m - 0*m + z, -3*o + 3*m = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277563554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.786417 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20826, -41629, -62432, -83235?\n\"Answer: -20803*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l*l**(-3))*l)\/l)*l**(2\/5)*l*l)\/((l**(-5)\/l)\/l)**(-2\/43) assuming l is positive.\nAnswer: l**(-199\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 209*v**2 - 101*v + 1303. Let j be g(105). Is j greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Let b be (-4)\/(-18) - (-92)\/(-9). What is the smallest common multiple of t and (-1)\/(-5) - 18\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*c + 1100*c + 5*c**2 - 559*c + 27*c**2.\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1216) + 0)**2.\nAnswer: -48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 45. Suppose c = -12*r + 9*r. Let i(z) = -z**3 + 2. Let v(h) = -h - 2*h**3 - 159 - h**2 + 164 + h. Calculate r*i(j) + 2*v(j).\nAnswer: j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 695178 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 0.33. Let p = -0.05 + -56.95. Let b = p + 60. What is the smallest value in -0.1, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 18*k - 14*k - 20 = t + t, -3*k = -61*t + 114 - 599 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 3*c)*(3 - 3 - 2).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 10 = 14. Suppose -5*h + s - 6*s + 180 = 0, -3*h + 113 = q*s. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8639, 17275, 25907, 34535, 43159, 51779?\nAnswer: 60395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 18506 - 24494. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:29 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 971 - 11. Does 48 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -15, 5, -0.0171?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61988*f = 62115*f - 1905 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {f: 4, c: 2, v: 7}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194.38 + 0.38. Let i = s - -193.6. What is the nearest to 4 in -2, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10209931 and 58.\nAnswer: 592175998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 + 60376737?\nAnswer: 60376773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Let k(o) = 4*o**2 - 2*o + 2. Let g(a) = -39*a**2 + 21*a - 21. Let q(r) = 2*g(r) + 21*k(r). Determine q(m(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqjw when four letters picked without replacement from jwfjjqfjbbqq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (-5)\/15*0. Let m = 4 - 7. Are m and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(112) + sqrt(112))*-4)**2 - (0 + sqrt(112))*-6 - ((sqrt(126)\/(sqrt(9)*1))\/sqrt(2) - -4*1*sqrt(28)).\nAnswer: -241*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2256\/7 equal to -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 2405 - 6789 = 0. List the prime factors of h.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 62. Let d = -38.00000087 - p. Round d to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:39 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -15. Let y(f) be the third derivative of 0*f + 0 + 61*f**2 - 1\/6*f**5 + 1\/120*f**6 + 5\/6*f**3 - 11\/24*f**4. Determine y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -293.96288.\nAnswer: -298.96288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*p - 34, -6 = -2*w + p + 13. What is the remainder when 47 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -88\/105?\nAnswer: -88\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -700 - k + 9*k + 338 + 271 to j*k + t and give t.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 29*k - 16*k - 1012 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h + 122. Let k be q(12). Suppose 2*z - 3*x = 1176, -k*z - 3*x + 1204 = x. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(12*4\/30).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67*258\/437912*16\/(-18).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 241?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1 + 23 = 0. List the prime factors of ((1 - -302) + 3)\/(5 - l).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109536652 or -328609955\/3?\nAnswer: -328609955\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4 - 15*b**2 + 16*b**2 - 16 - 9*b - 4*b. Let x be d(14). Solve -4*p + x*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 + 7. Suppose a + 0*a = 0. Is s(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1019388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7154 - -7155. Do t and 1\/7736 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 64. Let h = j + -75. Solve 0 = -f + 4 - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 28*m. Let y(a) be the second derivative of -a**6\/360 + 22*a**3\/3 - 2*a. Let s(i) be the second derivative of y(i). Calculate s(k(d)).\nAnswer: -784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 3)*(-2*k**3 + 0*k**3 + 0*k**3) + 9*k**3 + 15*k**3 + k**3 as t*k + v*k**2 + u*k**3 + r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24*(-4)\/4 + -2. Let o(v) = -4 - v**2 + 44*v - 17*v - b*v. Let i be o(4). Solve -a + q = -8, -15 = 5*q - i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78154 (base 9) in base 3?\nAnswer: -2122011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1024124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 1. Let q(s) = -196*s**3 + 2*s**2 - s + 3. Let f(b) = q(b) - 4*v(b). Let w be f(-1). Let n = w + -95. Is 42 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 143 or 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j. Let k(o) = o**2 + 7*o + 12. Let x(z) = z**2 + 7*z + 13. Let r(l) = -6*k(l) + 5*x(l). Let i(c) = 2*a(c) + r(c). Give i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 - 6 = 0. Let v = w - 6. 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 u(t) = 44*t**2 + 391*t. Let i be u(-9). What is the highest common divisor of 612 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000001101110001 (base 2) to base 4\nAnswer: -220031301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 85, 103, 139, 199, 289, 415?\n\"Answer: k**3 - k + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 26*b - 24. What is the tens digit of f(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 4, 5, -14 in descending order.\nAnswer: 14, 5, 4, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11976848 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1780, 367, -2002, -5339, -9656?\n\"Answer: -2*t**3 - 466*t**2 - t + 2249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1 - c + c**2 + 1 + 3. Let u be j(0). Suppose -2*w + u = -3*w. Let f(y) = y + 6. What is f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 13. Suppose 80 = 514*d - 509*d. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(((sqrt(55)\/sqrt(5) - sqrt(11)) + sqrt(11))*-5))\/(sqrt(2)*-1*-3 + sqrt(8)\/sqrt(4)*3) + 2.\nAnswer: -sqrt(11)\/30 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705*c = 700*c + 110. Let j(r) = 2*r - 29. Let b be j(17). Solve 0 = a + b*n + 5, 4*a - 4*n - c = -3*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1309.3 + 1302.629. Round q to 1 dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 30. Suppose 2*h - 4*c = -0*h + 32, 4*c = -5*h + 94. What is the remainder when g is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 4*z**2 - 3*z - 1. Let i be d(-2). List the prime factors of 1416\/15 + i\/(-5).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.9, 1\/3, 2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 94. Let x(c) = 48*c**2 + 20*c + 1. Let a(t) = -98*t**2 - 40*t - 2. Let d(i) = p*a(i) + 9*x(i). What is the second derivative of d(n) wrt n?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*v + 16, v + 3*v - 4*f + 16 = 0. Is (v\/4)\/((-2)\/1940) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2688551050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 = 17. Suppose 153018 = 14*l + q*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 3*a = -6, -2 = 5*g + a. Let s be (232\/20 - -2)\/(7\/(-35)). Let y be (s\/24 + 12\/9)*2. Put y, -2, g in descending order.\nAnswer: g, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 2:55 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j + 2*j. Suppose -65 = -2*i + 3*k, -j*k + 70 = 2*i - 0*i. Solve -5*p - 5*m = -10, 0*m = -3*p + 5*m - i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:50 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.27*319.8.\nAnswer: -7761.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*u - 125, -3*l = 8*u - 3*u - 119. Solve 3*r - 3*n = -21, -9*r + 7*r + 4*n - u = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -60*p**2 - 14*p - 10. Let y(l) = -361*l**2 - 82*l - 59. Determine -35*t(x) + 6*y(x).\nAnswer: -66*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57 - 145*w**2 - 57 - 86*w**3 - 168*w**2 + 25*w**3 wrt w?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**3 + 310*i**2 - 685*i + 516. Give y(42).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-87)\/(-195) + -7*(-10)\/455. What is the smallest value in v, -1\/4, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 2*u + 291*u**3 - 52*u**3.\nAnswer: 239*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - 4. Let x(q) = -8*q - 5. What is 3*m(c) - 4*x(c)?\nAnswer: 5*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -1241*z + 1200*z. Solve u + z*r = 7, 6*r = -2*u + 11*r - 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -78\nAnswer: -11\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52076 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4251225 and 2150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:56 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-5*y + 5*y - y)*(5 - 5 - 3*y**2).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218\/3 - 64. Let d = b + -8. Let u be -1*(-6 + 2)\/2. Which is bigger: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/21 - (-4)\/(-6). Suppose -2*h + 13 - 51 = 0. Let t = u - h. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(675) + (sqrt(675)*1 + sqrt(675))*1)\/(5*sqrt(27)\/sqrt(3) - sqrt(900)*-1).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 26. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 585540.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 26*c**2 + 449*c + 3128. Calculate y(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -3\/8, 38, 4\/9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*p = -5, -3*p - 7 + 25 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, -86\/23, 1, 4, -2\/21 in decreasing order.\nAnswer: 5, 4, 1, 1\/5, -2\/21, -86\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(17150\/(-12258))*(-11)\/33. Let s = 3\/343 - h. Solve -2\/5*l**2 + 2\/5*l**4 + 0 - 4\/5*l**5 + s*l**3 - 2\/5*l = 0 for l.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 30932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*c = 22, 4*h - 5*c - 310 = -275. Let y(a) = -1 + 0*a - a + 3. Let z(s) = -2*s + 4. Give h*y(w) - 3*z(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11020.1 (b) -2\/7 (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 2088*j + 16793. Determine g(-8).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/11 + 16\/(-88). Suppose -k - 3*k + 4877 = -s*m, 3*m = -3*k + 3642. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80881, -323527, -727943, -1294135, -2022109, -2911871, -3963427, -5176783?\nAnswer: -6551945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 27 + 40 = 0. Let w be (-304)\/160 - d\/10. Which is the third smallest value? (a) w (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 - j - 3. Let c be w(-5). What is the second derivative of -u + u**2 - 4*u**c + 3*u wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-16))\/((-5)\/70)*(-8)\/(-4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2 - 26646*m - 3221044 = 0.\nAnswer: -13201, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-3))\/((-2)\/6). Let i = 35 + -15. Suppose 5*l - 4*q = -13, 21*l - i*l + 7 = 3*q. Sort -3, d, l.\nAnswer: d, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 4. Suppose 3*z - 5 - 1 = 0. Suppose z*c + 30 = 7*c. Let t be j(c). Solve v = -m + 2*m, -t*m - v = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110110 - 10?\nAnswer: 100000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + (-549)\/(-366).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2083530 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Let c = -26 + 10. Let w be c\/(-12) + 2\/3. Let z(f) = -w*f - 2*f + 2*f. What is l(z(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + 10*v - 17. Determine q(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - 2*r**2 + 2*r**2)*(-679*r - 456*r - 142*r)*(3*r + r - 5*r) as w*r**3 + y*r**4 + l*r**2 + z*r + q and give y.\nAnswer: -1277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 75*y - 51)*(3*y**2 - 2*y**2 + 8*y**2).\nAnswer: 675*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3) + -2 + -5)*-3 - (((sqrt(363) + -3 - sqrt(363))*-2 - sqrt(363)) + -2)**2.\nAnswer: -349 + 85*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.364, -0.3, -188?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -329*b**5 - 2*b**4 - 12959*b**2 - 93243904*b.\nAnswer: -6580*b**3 - 24*b**2 - 25918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - 1.8. Let v = t + 2.7. Let f be (-3)\/(1 - 4\/16). Put f, 5, -2\/3, v in decreasing order.\nAnswer: 5, v, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/39292593 and -4\/837.\nAnswer: 353633337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -20) + 10 + -39\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 92136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5814.776 from 0.4.\nAnswer: -5814.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:01 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121037 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t - 1137 = 3*y, -2*t + 2*y = 774. Let o = t + 697. Let n = -183 + o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 323984316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36250100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 6*w**5\/11 - 5206*w**4\/11 - 263416*w**3\/11 + 741165544*w**2\/11 - 2960115872*w\/11 = 0.\nAnswer: -1021\/3, 0, 4, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let d(k) = -k. Let i(g) = 7*d(g) - 2*u(g). Suppose -5*b = -b. Let l(q) = -5*q + q + b*q + 3*q. Calculate l(i(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.688364 rounded to 2 dps?\nAnswer: 38.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8736\/1080 - (-2440)\/2196?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*v**2 + v + 102*v**2 - 80*v**2 + 2272*v**3 - 2281*v**3 to the form c + s*v**3 + o*v**2 + z*v and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 101 - 95 + 6*n - 9*n**2 - 2*n**3 + 5*n - 5*n. Let k be b(-5). What is the units digit of -8*(5\/k)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/3)\/1)\/(15\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 11:49 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1304856 by -6.\nAnswer: -217476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -51. Suppose -y - a = 5*f, -3*y = -4*f + 6*f + 7. Let n(s) = -2 + 1 + s + y. Let o(k) = 6*k**2. What is n(o(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 3 + 53*z.\nAnswer: 53*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2121 + -21?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20087773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7533, -30268, -68181, -121266, -189517, -272928, -371493, -485206?\nAnswer: -614061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.357 and -206.223366.\nAnswer: -205.866366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*w + 3*c, 0 = -2*w + 5*c - 3*c. Let x(v) = -v**2 - 8*v + 4. Let s be x(-8). Solve -s*j + 5*m - m = 4, -j = w*m + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)*(-4 - -1). Let w(i) = i**3 - 3*i**2 + 1. Let l be w(3). Let h be 2*l\/(-4)*12. Sort h, 5, q in ascending order.\nAnswer: h, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17 - 0)*(12 - 11). Let g = z + 21. Suppose g*v = v + 2271. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*u - 2 + 4, -5*u + 3*l + 26 = 0. Let q be (u\/(-25))\/(4\/(-10)). Is q != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/894 and -21\/3874.\nAnswer: 11622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**2)**2 assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38287 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r**3*v**3 - 161*r**3 - 15*r**2*v**3 wrt v.\nAnswer: -18*r**3*v**2 - 45*r**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3, 3*c - 381 = 3*x - 6*x. Calculate the highest common divisor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 9*a - 9 = 10*a, -u = -4*a + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 4*g**3\/3 + g**2\/2 + 114*g. Let s be 12\/(-9)*(-18)\/24. Let f = s + -2. Calculate t(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from fhwafffa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -9, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18131563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2\/c)\/c*c*c*c**2)**(-14) assuming c is positive.\nAnswer: c**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.06721 + 0.06721. Which is the closest to w? (a) 486 (b) -2 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1509 or 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0897 and -40244.\nAnswer: -3609.8868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3213\/315 + 8\/10. Let k be 3\/(3*4\/200). Suppose -f*s = -6*s - k. Solve -s*g + 8 = -6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 14*j - 34. Let x be q(16). Let g(i) = -3*i - 1 + 5*i + 5*i**2 - 3*i**2. Give g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83481, -166955, -250429?\nAnswer: -333903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**6\/10 - 24*g**5\/25 + 9*g**4\/5 + 22*g**3\/5 - 129*g**2\/10 + 54*g\/5 - 233. Suppose z(r) = 0. Calculate r.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 99. Let r be 2\/(3*-1 + 1). Let l be (0*r\/2)\/(-1). Let c be w(l). What is the highest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 - 279 = -13*n. Let a = 51 - 47. Solve -2*s - a*k = 10, n*s - 18 = -0*s + 3*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7414796 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 - -81a424?\nAnswer: 81a468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2. Let q(x) = -28*x**2 + 13*x + 28. What is q(j(o))?\nAnswer: -252*o**4 - 39*o**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*j + 1)*(3 + 2 + 0)*(328*j**3 - 1333*j + 1333*j).\nAnswer: -6560*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let w(y) = y**2 - 2*y - 4. Let q be w(-3). Let t = q + -7. Let z(k) = t + 3*k**2 - 4. Determine m(z(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.56403 + 3.548. Round t to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -12873031.\nAnswer: -12872903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 12*j - 13. Let c be r(10). Let t = c + -3103\/15. Sort t, -1\/2, 0.5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.165 and 3?\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 1. Let q(j) = -3*j**2 - 2*j + 7. What is -2*q(r) + 4*y(r)?\nAnswer: 2*r**2 + 4*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -4) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 366\/15 + 2\/(-5). Suppose z = 4*l + 9, 5*z - 4*l = z + r. Suppose -2*j = -j - 14. Calculate the remainder when j is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 2*a + z + 10, -3*a = -3*z - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + (-194)\/4. Let x(m) = 2*m**3 + 3*m**2 + 17*m + 28. Let t be x(-3). Let o = t - h. Let q(s) = -s. Let j(z) = z - 1. What is o*j(b) - 3*q(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -17220752 to the nearest ten thousand.\nAnswer: -17220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 16 = 7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45799.7652 microseconds in weeks?\nAnswer: 0.000000075727125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - v + 2*v)*(-v - 2*v + 5*v)*(2*v + 5*v - 4*v)*(-186*v - 33*v + 18*v) as w*v**2 + o*v**4 + z + f*v**3 + y*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184879 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 148?\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656176943 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -2*i, -5*g + 40*i = 41*i - 23. Let l(w) = 4*w - w - 17 + 15*w. What are the prime factors of l(g)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1114.12 - 1152. Let r = k + 3.68. Let o = r - -29. Round o to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 7*l + 532. Let q be s(-20). Put q, 5, 1, -42 in decreasing order.\nAnswer: 5, 1, q, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-943)\/(-82))\/((-1)\/(-2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85729\/13 greater than or equal to 6596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7505, 15010, 22515, 30020?\n\"Answer: 7505*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, 2, -21, 0, -2 in decreasing order.\nAnswer: 4, 2, 0, -2, -15, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735347965 is divided by 256.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -14449680289 and -0.533.\nAnswer: -14449680289.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 3. Determine x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 662, 1492, 2658, 4160, 5998?\nAnswer: 8172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccclil. Give prob of sequence cik.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8801504 months to millennia.\nAnswer: 0.0001566792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 42, 103, 216, 399?\n\"Answer: 3*k**3 - k**2 + 9*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -14 + 6 - (-17 + 1). Suppose 0 = 229*y - 224*y - v. Solve -7 = 3*n - 2*u, 3*n + y*u = -2*u + 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 16*k + 65. Calculate g(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3998 + 4389. Which is smaller: 8 or s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 2*r**2 - r + 1. Let y be d(2). Let u be (-10)\/(-4) - (-1)\/(-2). Put u, -3, y in decreasing order.\nAnswer: u, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 12050 (b) -1 (c) -0.3 (d) -2 (e) 235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -9, -25, -2, 1 in descending order.\nAnswer: 1, 0, -2, -5, -9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -35c1?\nAnswer: -35ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d**5 + 248*d**4 - 468*d**3 - 72*d**2 = 0.\nAnswer: -1\/7, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 6*i - 302*i**3 - 3*i**2 + 298*i**3 to the form w*i**3 + g*i**2 + q*i + s and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 5*k**2 - 7*k - 2. Calculate the remainder when 182\/9 - ((-182)\/63)\/(-13) is divided by w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 49 - 24 - 10*m - 19.\nAnswer: -10*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 99719 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 15. Let g(b) = 3*b. Let h be g(-2). Let x be 6\/(h\/2) - -2. Is t(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 59640.\nAnswer: -13\/29820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 497500 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 37625?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2 - 240*w + 5. Calculate k(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from zzlmlzzlzlmzzlzzlzlz?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -71?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f - 6. Suppose 36 = 8*y + 108. Let p = 14 + y. Let x(r) = -8*r + 5. What is p*u(b) + 6*x(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/844 and (14\/5)\/(112\/280) + 329\/(-52).\nAnswer: 10972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 9*f - 405*b = -14*f - 0*f + 5, 3*f = -4*b + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 12*i + 11. Let n be w(-11). Suppose x = -n + 2. Find the second derivative of -s**3 + 2*s**3 - x*s**3 - 3*s wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -46. Let u be (-4)\/(112\/(-92)) + (f - 3). Which is the smallest value? (a) u (b) 5\/2 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h*h**(-1))*h*h**(-2\/17)*h)**(-5\/6)*h**1\/(h\/h**(2\/13))*(h\/(h*h\/(h\/(h*h*h**(-6))))*h)\/h**(-1\/2) assuming h is positive.\nAnswer: h**(1051\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 - (-10 - (10 + -11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1329244628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 39. Suppose -6*m = -7*m - 4, -76 = -5*o + r*m. Solve o = -27*b + 30*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 1 - -3) + 8 + -21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -1141?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/6 and (-4)\/3*760\/(-1536).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + -1 + 4 + sqrt(468) + -6*(sqrt(468) + 5) + (0 + sqrt(468) + -5 - (sqrt(468) - (-4 + 4 + sqrt(468) + sqrt(468)) - sqrt(468)))**2.\nAnswer: -204*sqrt(13) + 4210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 20 = -3*o. Suppose 4*v - 4 - 5 = -b, v - 1 = 0. Suppose -b*s + o = -11. Calculate the greatest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 5*p - 1. Let s be v(6). Suppose -s*m - 4*q + 39 = 0, q - 3 = -2*q. Solve y + 14 = -4*r, 3*y = -3*r + 4*y - m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 23. Let d be p(10). Suppose -4*v = -5*q - 174, d*q + 2*q + 10 = 0. Let m = 46 - v. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -10. Let n = 22 + a. Suppose 7*t - n = t. Solve -4*x = -2*x + t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21163 - 21166. What is the nearest to 439 in -1\/5, 2\/7, -5, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 18. Solve 3*h - h + o = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15446246.26 rounded to the nearest ten thousand?\nAnswer: 15450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7518 = 3*i - 3360. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**5 - 6005*p**4 + 96965*p**3 - 480295*p**2 + 512040*p + 1095300 = 0.\nAnswer: -1217, -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1353.1 (b) 757 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 + 11738*w**4 + 46976*w**3 + 46984*w**2.\nAnswer: -2*w**2*(w - 5873)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3 - 242\/55) + 5)*(-5)\/3. Solve -4*c + t = 3, c - 5*t = -g*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 57 + 57 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 3. Suppose -3*r = -4*o + o - 15, -13 = -3*r + 2*o. Let p be (-3 - (-3 + r))\/1. Does 6 divide z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35187.94 centuries to decades.\nAnswer: 351879.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - t. Let p be m(0). Let c(h) = -3*h + p*h + h - 1. Give c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 1 (b) -0.139 (c) 0.5 (d) -2\/11 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -7393381?\nAnswer: -7393381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = -3*j + 210. What is the remainder when 20 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 56 - 9 = 0. Let t(h) = h**3 - h + 1. Let j(r) = 2*r**3 - 14*r**2 + 8. Let f(i) = -j(i) + t(i). What are the prime factors of f(d)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-0.04\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -194\/13 in 0, -3291\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/6 - 10*s**2\/3 - 67*s\/6 - 8 = 0. What is s?\nAnswer: -16, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0*j**2 - 1\/6*j**3 + 0 + 2*j. Let a(q) = 3*q. What is m(a(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16113793 - 16109061 = 91*a for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/13327580 and -51\/46?\nAnswer: 13327580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/8481 and 5\/2827.\nAnswer: 8481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12222000 (base 3) to base 5.\nAnswer: 114342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.02 + 2. Let u = y - 2.48. Let q = -2.49983 - u. Round q to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 156, -4, 728, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(12 + 705\/(-60))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {z: 4, u: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u\/((u\/u**(3\/8))\/u)*(u\/((u\/u**(1\/4))\/u))**(2\/33))\/((u\/(u**(-7)\/u)*u)\/u*u**(-4)*(u\/(u*u**(-2\/3)*u)*u)**(-18)) assuming u is positive.\nAnswer: u**(1439\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 16 = 5*u - b, -3 = -5*u - 3*b. What is the first derivative of -4 - 3 + u + 4*p**4 wrt p?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 750.0756t?\nAnswer: 750075600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7139995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 16145\/109 and 148 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-13)\/(520\/420))*42\/280?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -214.61 and -0.13.\nAnswer: -214.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6340163660?\nAnswer: 2, 5, 281, 1128143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524*t = 518*t + 24. Suppose -t*b = 0, -2*g + 2*b - 7 = -1. Let a(j) = -j**3 - 5*j**2 - j + 4. Determine a(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let c = 172 - 160. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + k**2 + k**2. Let l(h) be the second derivative of 77*h**4\/12 + 53*h + 72. Determine l(d(y)).\nAnswer: 77*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 47785*m**2 - 47786*m + 286712\/3.\nAnswer: (m - 143356)*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -6. Suppose 0 = i*l + l - 12. Let x = 5 - l. What is the closest to -3 in 0, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50139296 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 224?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-77)\/(-22) - -116*15\/(-520). Let p = 201\/17 + -8383\/663. Let n = h + p. Put -5, n, 0, -2 in ascending order.\nAnswer: -5, -2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 2838*p**3 - 2836*p**3 + 0*p**2 - 176*p in the form v*p**3 + h*p + c + f*p**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -370466, -740775, -1111084, -1481393, -1851702?\n\"Answer: -370309*j - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 632492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -1\/2, -704, 4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/89, 20, -2, -54.9?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -360\/2773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*l - 1, l = 4*g - 0*l - 7. Let p(w) = -9 + w + 1 + g. Give p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-36) + 37\/4. Suppose -4*k + q*k = 0. Suppose k = 3*o - o - 106. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(17*i + 9*i - 9*i)*((-4 + 3 - 1)*(2 + 0 - 1) - 4 + 1 + 2 - 3 + 3 + 2).\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46458 - 31543. List the prime factors of j.\nAnswer: 5, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 44 = -5*l - 2*x, -3*l + 2*x = -36. Suppose 5*q = -0*q + l. Solve -3*r = -g + 2*r - q, -4*g + 15 = 3*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 2*v**2 + 3*v**3 + (3*v - 2*v + 4*v)*(v + 0 + 0)*(0*v - v - v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 34*d**2 + 32*d + 22. Let k(f) = -14*f**2 - 13*f - 9. Determine 12*k(l) + 5*z(l).\nAnswer: 2*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v - 1. Let i be z(1). Suppose -24 = 358*n - 364*n. Let a(k) = -k**2 + 4*k + 2. Let l be a(4). Solve -3*m = 3*d + 6, n*d - 4*m - l = i*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - j = -0*j + 24, 0 = -5*s - j + 150. Solve 0 = -31*u + s*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260 - -273. Suppose d*f - 276 = 11*f. Is 137 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 123, -7 in decreasing order.\nAnswer: 123, 19, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-6))\/(2\/4). Suppose 52 = g*h - 28. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2214 and 13824.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 - f**5\/15 + f**4\/4 - f**3\/6 - 3*f**2. Let m be q(-6). Suppose 4*c = -3 + m. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02294830016 rounded to five dps?\nAnswer: -0.02295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 + -68 + 24)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a*y**3 - 2*a*y**2 - 407*a*y + 326018*y**3 wrt a?\nAnswer: -9*y**3 - 2*y**2 - 407*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 112167 (base 8) to base 4\nAnswer: 21101313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 714\/(-306) + 4\/(-6) + -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -15.5. Let h = -55 + g. Let n = -38.9966 - h. What is n rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -7*g + 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75160.\nAnswer: 2, 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.3301 meters in kilometers?\nAnswer: 0.1703301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + -5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -21. Suppose -r = -6 - m. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806052479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -919973*a*q - 2*a + 205786 wrt q.\nAnswer: -919973*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 - -128. Let w be x\/(24\/23)*-2. Which is greater: w or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 28*n**4 + 2*n - 66*n**4 - 764 - 79*n**4 + 765 to the form m + c*n**3 + a*n + o*n**2 + v*n**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-12*(-11)\/840576).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 5) in base 11?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 2*q**2 - 3*q - 4. Determine u(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 213, 370, -1, 5 in increasing order.\nAnswer: -40, -1, 5, 213, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11345501 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 907626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32462?\nAnswer: 2, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, -16, 0.5, -4, 4, 2 in decreasing order.\nAnswer: 4, 2, 0.5, 4\/17, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 15*q**2 - 14*q - 9. Calculate the remainder when 43 is divided by h(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106380.694 - 106469. Round f to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/14 - (-2155)\/(-70))*-2. Suppose -u + 1 = -6*z. Solve z = -i - 2*q, -5*q - 32 = -i - 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14321 (b) -25 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2464 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a3 (base 15) in base 5?\nAnswer: 1123103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1 - (0 + 1)). Let l = -34.24 - -33.24. What is the third smallest value in f, l, -15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 - -1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2*s**2 + 2*s + (-23*s + 5 - 5)*(-3 + 3 + 2 + 2*s + (-2*s + s + 3*s)*(4 + 0 - 2) - s - 3*s + 3*s).\nAnswer: -117*s**2 - 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -38.1. Let n = -54 - -38. Let h = 17 + n. Sort -3, h, b, -4 in decreasing order.\nAnswer: h, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*f - 128, -5*f = -o + 3*o - 358. Let i be 2 + 16 + 4\/2. Suppose 2*l - 16 = i. What is the remainder when f is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 21*m**2 + 36*m + 24. Let y(b) = b**2 + 2*b + 1. Give -k(d) + 18*y(d).\nAnswer: -3*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -180, -1 in descending order.\nAnswer: 9, -1, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834879 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + k = -9*u - 30, -u - 6 = -4*k. Let j(p) = -3*p + 9. What is the units digit of j(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 35*u**3 + 205*u**2 - 165*u.\nAnswer: -5*u*(u - 3)*(u - 1)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31707 and 278551.\nAnswer: 679385889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 0.15993, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 2. Let d be p(0). List the prime factors of (-228)\/(-18)*(d - -1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*a**2 + 122*a**2 - 131*a**2)*(-2*a - a**2 + 2*a + 0*a + 0*a - 2*a**2 + (-1 + 0 + 2)*(a**2 - a**2 - 2*a**2)).\nAnswer: 1090*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*y - 2*y**2 + 10 + 3*y - 2 to the form z + m*y**2 + v*y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4692381.\nAnswer: 3, 419, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1218\/522)\/(-5*(-5)\/20*-2).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27205689 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6905, -55347, -186831, -442877, -865005, -1494735, -2373587?\nAnswer: -3543081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -374*y**3 + 125*y**2 - 2*y - 1. Let w(p) = -p**3 + 2*p**2 + p. Let o(k) = -2*w(k) - x(k). What is the third derivative of o(b) wrt b?\nAnswer: 2256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:27 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 160\/(-45)*(-8)\/(-992). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2395737 and 729?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 462\/(-10))\/(2\/(-5))?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 114882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42491313.\nAnswer: 3, 17, 167, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Suppose -17 = 4*q - 29. Calculate the remainder when q is divided by 2 - (f + 3 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-57630)\/(-25) + (3 - 0)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-7) + (-20)\/(-210)*11871?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 36*n**2 + 21*n - 21. Let p(v) = -7*v**2 - 4*v + 4. Suppose 16 = -3*g + 4*w, -10*w = -5*g - 6*w - 24. Suppose t - 3*t = 42. What is g*c(a) + t*p(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -7a04?\nAnswer: -7a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from xtmmmaxxvxamxzmtz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 361, 544?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8*r + 282 = -5*r, 0 = 4*d - 3*r - 404. Calculate the highest common factor of 1029 and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-10) - (-82179)\/138*(-1)\/(-33).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**3 - 2*b**3 + 5*b**3)*(-4*b + 3*b**2 + 4*b).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13356*d**3 - d**2 - 59*d + 15320007?\nAnswer: 40068*d**2 - 2*d - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -1713, -5749, -13601, -26541, -45841, -72773?\nAnswer: -108609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/5 + 26395204*d\/5 + 87088349275202\/5 = 0.\nAnswer: -6598801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8339*a*j**2*z**3 + a*j**2*z - 4*a*j*z**2 + 83*a*z**5 - 6*a - 8*j**2*z - 33*j**2 - 15*z**2 wrt z.\nAnswer: -50034*a*j**2 + 4980*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1560 and 61\/3.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730569 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/3)*c**(1\/27))\/(c**(-1\/12)*(c*(c*c**(-9))\/c*c)\/c*c) assuming c is positive.\nAnswer: c**(841\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 189823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.9712 rounded to 1 decimal place?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -11 - -15 - (-6751 + (-6)\/(-6))?\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8897, -8895, -8893, -8891, -8889?\n\"Answer: 2*f - 8899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, -5, -14, -23, -32, -41?\n\"Answer: -9*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10397 divided by 4?\nAnswer: 10397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 3. Let k(h) = 7 + 2*h + 4 + 6 - 15. Calculate -4*k(f) + 3*n(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 11*x**2 - 44*x - 8. Let c = 29 - -5. Suppose c = 7*r - 204. Calculate the least common multiple of r and g(-14).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2230262989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 7 - 7. Suppose -2*o + 2 = 0, 4*s - 2*s + b*o - 2 = 0. Suppose s = 6*y - 35 + 17. Solve -y*p + 5*p = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 248 = -52. Calculate the remainder when 120\/4 - (-1 + 2) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -5. Let y = w + 97. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -19*y - 2. What is the remainder when q(-1) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42050 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360383 is divided by 93?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbeevvbbbvbhbbvbp. Give prob of picking 1 p and 1 h.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 1757 = -33*g. What are the prime factors of g?\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**4 - 28*o**3 + 28*o**2 - 2. Let s(n) = -26*n**4 - 86*n**3 + 84*n**2 - 7. Let u(g) = -2*s(g) + 7*z(g). Factor u(v).\nAnswer: -4*v**2*(v - 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -511 and 4.\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24748?\nAnswer: 2, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**3 + 91*g - 91*g)*(25*g**2 - 268*g**2 - 213*g**2).\nAnswer: 5928*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 2 n when four letters picked without replacement from {v: 2, f: 2, n: 2, u: 3}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1814975 and -0.5?\nAnswer: 1814975.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + 14*s - 4*s**3 + 2*s**3 + 4. Let d(u) = -u**3 + u + 1. Let t(w) = 4*d(w) - x(w). What is the second derivative of t(z) wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 5*g + 5. Let w be t(-5). Let l = -3135 + 3708. Suppose -l = -5*x + 3*a + a, -w*x + 2*a = -569. What are the prime factors of x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/378)\/(217\/3906).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdrr when four letters picked without replacement from {d: 2, r: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**47*s**6\/s*s*s*(s\/(s*s*s*s*s**(-3\/5)))\/s)**(2\/21) assuming s is positive.\nAnswer: s**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 442 by 17.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*w - 13594, 3*d - 4*w = 2*d - 2728. Let i = d + 5989. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 26. Let m be t(-24). Solve 0 = m*z + 1 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 19862313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (-1)\/((-1)\/(-2)). Let v be ((-1)\/2)\/((-1)\/f). Suppose 0 = 4*t - l - 18, v*l + 7 = t - 3. Solve -t*p - 10 = 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*476\/2. Let g be 36\/5*(-840)\/(-504). Let s = q + g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3 + 2 + 2*y - 4*y. Let a be s(-5). Let v = a + -4. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9739521.347 rounded to the nearest 1000?\nAnswer: 9740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (17 - 8)) + 9 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122304033 (base 5) to base 14.\nAnswer: -4a2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 13. What is the units digit of t*(3 - 34\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -4 (b) 0.01 (c) 2 (d) 0.5 (e) 5\/2 (f) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77308965 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2333449, -2334028, -2334607, -2335186, -2335765?\n\"Answer: -579*b - 2332870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*t - 316, 0*t + 3*t - 71 = -c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 77 = -p, -358 + 54 = 4*p - 2*a. Let y = 13 - p. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7988 = 4*u, 1998 = -44*u + 45*u - w. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-175))\/((-909)\/(-346935)) + 11.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42049 and -53951.2.\nAnswer: -11902.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1669.9999987944 + -1670. Round y to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 6725. Let c(h) = h**2. Calculate f(c(y)).\nAnswer: -2*y**4 + 6725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 51*c - 218. Let j(z) = -13*z**3 - 6*z**2 - 6*z. Let l(k) = -77*k**3 - 35*k**2 - 35*k. What is c*l(g) - 35*j(g)?\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39979821?\nAnswer: 3, 7, 1903801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -1. Let d = -3 + 4. Let r = d - j. What is the third biggest value in -2, r, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*o**3 - 573*d**3*o - 5*d**3 - 182*d*o**3 + 10*d*o**2 - 2*o**2 wrt d?\nAnswer: -12*d*o**3 - 3438*d*o - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 41 - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*q + 446. Let p = q + -66. What is the remainder when 57 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(567) + (sqrt(567) - ((0 + sqrt(567) - sqrt(567)) + sqrt(567))*-5) + -2)**2)*-1.\nAnswer: -27789 + 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36560*r**2 - 56211*r wrt r?\nAnswer: -73120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127841 rounded to the nearest 1000?\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.81 - 0.19. Which is the nearest to 1? (a) j (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 131?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3 + 38693*n**2 + 52381560*n + 17429662800 = 0?\nAnswer: -660, 40013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppkmppppppppp. Give prob of picking 2 p and 1 k.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 57838, 58119, 58398, 58675, 58950, 59223, 59494?\n\"Answer: -b**2 + 284*b + 57555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.084 + 0.084. Let l = 114 - 96.9. Let g = l + w. Which is the second biggest value? (a) 3 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 12494\nAnswer: 37482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 4. Let v be (-21)\/6 + (-2284)\/(-8). Let l be v\/936 + 1\/t. Which is smaller: -2\/7 or l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -212, -219, -238, -275, -336, -427?\n\"Answer: -p**3 - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5827, -5767, -5657, -5491, -5263, -4967?\n\"Answer: n**3 + 19*n**2 - 4*n - 5843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-6) - -3)*2. Let d be (-6 + 7)*(6 - a). What is the second smallest value in d, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, 1 x, and 1 s when four letters picked without replacement from hhspsxpshspshxpph?\nAnswer: 25\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 5. Suppose 0 = -3*a + 7 - 28. Suppose x + 3 = i, -3 - 15 = -i + 4*x. Let q = a - i. Give o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + -106. Let s = -93 - -92. Put 3, s, r, -17 in descending order.\nAnswer: 3, r, s, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (795\/(-81))\/((-1)\/(-6)). Let n = o - -59. Is n bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + -2 - (2181 + -2189)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 514 - 3239. List the prime factors of n.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 15)\/4*17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 840 - -11. Let s = u + -851. Solve -4*t + 20 = s, 0*t - 21 = 4*n - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 5)*6.\nAnswer: 12*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.0445?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3765484 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - (-10870)\/15 - (-8)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 7. Let z be s(-7). Let g = -0.5 - -0.4. What is the closest to g in 1, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/147 - -41\/294. Let i be 9*2\/(-36)*3. Which is the nearest to f? (a) i (b) 2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -6 (c) -2 (d) -1\/6 (e) 2607 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5113, -24231, -56093, -100693, -158025?\n\"Answer: l**3 - 6378*l**2 + 9*l + 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7352)\/(-16) + (-1)\/(-2). Suppose -2 = z, -5*l = -2*z - 3*z - r. Let j = 91 - l. Which is smaller: j or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 839917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6.8 (b) 1 (c) 7129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 57.6. Let h = 5 - 7. Sort h, -0.3, o in ascending order.\nAnswer: h, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/3 - 1394*l**3\/3 - 3240*l**2 - 15262*l\/3 - 6935\/3 = 0.\nAnswer: -1387, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/5, 4, 3, -1.21, -21337.\nAnswer: -21337, -1.21, 2\/5, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3 + 7. Suppose 0*o = 4*w + o - 888, q*w - 3*o = 458. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:01 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3026*n + 275. Calculate the remainder when j(3) is divided by 191.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 691 - 700. Let g be (f + 7)\/((7\/(-2))\/(-7)). What is the closest to 0.1 in 0.5, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*r + 1491 = -38*r + 6615 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1839995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240776191\/2573 - 93578. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2414 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:13 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 + 2*h**2\/3.\nAnswer: 2*h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9309 and 1044.\nAnswer: 111708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6924*z + 4403 = -6805*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -74. What is the tens digit of -5 - 1*(y + -637)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 s, and 1 n when four letters picked without replacement from sbnnbqxfbbxqxfx?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 3*m - 2*a, -1258 + 1087 = -3*m + 5*a. What is the remainder when 498 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6600 = 204*x - 86*x - 58*x for x.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**4 + 30*s - 25*s**3 + 4 - 50*s - 40*s**2 - 4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 950 + -805. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-668)\/(-18) - ((-975)\/(-1950) - (-7)\/(-18))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -5, 2, 7, -128, 424 in descending order.\nAnswer: 424, 7, 2, 1, 0, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -2*c + 3*l - 0*l, 269 = -3*c + 5*l. Let x be (-4)\/c*(-15)\/10. Is x smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + (-58)\/6. Let p be (-1)\/(10\/4)*-10. Calculate the remainder when 22 is divided by (-116)\/h - p\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**3*z**3 + a**3*z**2 + 3*a**3*z - 239*z**6 + 628*z**2 wrt z.\nAnswer: -48*a**3 - 28680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -861 - -863. Solve 12 = 2*j - 5*d, -j - 4 = -2*j + p*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58305 divided by -11661?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*c = 0, i - 19 = 16*c - 11*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 7*g**6\/15 + 17*g**4\/12 - 4*g. What is the third derivative of j(u) wrt u?\nAnswer: 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 13. Let n be w(-4). Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4474*m**2 + 7586*m - 98924443.\nAnswer: 8948*m + 7586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*h - 20 = 0, 160*h + 1439 - 533 = 9*h. Determine l so that 31*l**y - 6*l - 25*l**5 + 0 - 21\/2*l**3 - 255\/4*l**4 = 0.\nAnswer: -2, -6\/5, 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-1\/2) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4 + 906*x**3 - 7321*x**2 - 8226*x = 0.\nAnswer: -914, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -542\/5*r**2 + 822*r - 90 + 18\/5*r**3.\nAnswer: 2*(r - 15)**2*(9*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-88)\/(-24)*-6*6\/4. Let c = b + 57. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -75 in increasing order.\nAnswer: -75, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*g + 14. Sort -130, -1, g in increasing order.\nAnswer: -130, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8807, 9940, 11073?\nAnswer: 12206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 1700684*p**3 + 482054911536*p**2 + 45545994205522100*p + 45545512152311246.\nAnswer: 2*(p + 1)*(p + 283447)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 + 13 = 10*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164789, -659073, -1482881, -2636213, -4119069?\nAnswer: -5931449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*v*x + 131*d*v + 11*d*x - 182*d + 29*v - 1667989*x wrt d.\nAnswer: 2*v*x + 131*v + 11*x - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 394\nAnswer: 1\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*b + 5609 = -273 - 292 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 155 + -632?\nAnswer: -4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2199 - -1392. Let r = -807.687 - b. What is r rounded to 2 decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-4) - (-6)\/(-24). Differentiate 4*t - p + 2*t + 3 - 5 with respect to t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005197653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 203473 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 1. Let i be b(-1). Let z be 4\/3*9\/6. Let p(s) = -s - s + 0*s**z - 4*s**2 + i*s. Let o(n) = -n**2 + 1. Determine -2*o(w) + p(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) -1\/4 (b) -0.3 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 271 = -271, 3*o - 112497 = -3*l. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 607925, 1215849, 1823773, 2431697?\n\"Answer: 607924*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by -2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -7390.\nAnswer: -1\/3695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 - 5 = 32*i. Suppose 2*q - 1712 = -2*u, -4*u + 3692 = i*q + 265. What are the prime factors of u?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(2\/7)*x)\/x))**(3\/17)*((x**(2\/5)\/x)\/x)**(3\/8))**41 assuming x is positive.\nAnswer: x**(-11562\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/420 + (750\/231)\/(-10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1614 + 1614 - r. Let k(q) = 2*q**2 + 2*q - 3. Determine -k(y) - 4*u(y).\nAnswer: -2*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193\/13 - 8861\/624. Calculate the common denominator of x and 131\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2634692 is divided by 878221.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4\/(t**7\/t)*(t**(-1)*t)\/(t**(-3\/5)\/t) assuming t is positive.\nAnswer: t**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2134? (a) 39 (b) 5 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 3*c**4 + c**4 + (-2 - 3*c**4 + 2)*(2 - 6 + 2) - 39*c + 39*c + 14*c**4.\nAnswer: 21*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3648)*2*4)\/((sqrt(15) - -1*sqrt(75)\/sqrt(5))\/sqrt(5)).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 3*v**4 + 3*v**4 + 114*v + 3*v**4 - 183*v**2 + 74*v - 189*v - 5*v + 2*v**4 + 5*v + (-2 + 2 + v**2)*(2*v**2 + 4*v - 4*v) - 2*v**2 - v**4 + 2*v**2.\nAnswer: 8*v**4 - 183*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036443266?\nAnswer: 2, 518221633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 439200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 138. Let o(i) be the second derivative of -1\/3*i**3 + 0*i**5 + 0*i**2 + 1\/15*i**6 + k*i**4 + 0 + 2*i. What is the second derivative of o(t) wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1547 - 1481. What is the remainder when x is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 11748*c**2 - 11742*c - 23492.\nAnswer: -2*(c - 5873)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -49. Suppose -92 = 28*m - 32*m + 4*v, 76 = 2*m + 4*v. What is the highest common divisor of m and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1124 = -3*u + 56, 0 = u + 5. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14578252?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v + 5*h - 296, -2*v + 5*h + 592 = 0. Solve v*p**2 + 10 - 281*p**2 - 154 + 354*p = 0.\nAnswer: -24, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 276*q**3 - 2712*q**2 + 7408*q - 6240.\nAnswer: 4*(q - 5)*(q - 2)**2*(q + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**5 - 25*r**2 + 25*r**2 + (-4 - 2*r**3 + 4)*(-2*r**2 - 2 + 2) + (-r**3 - 3*r**3 + 8*r**3)*(-r - 7*r**2 + r).\nAnswer: -30*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and -41\/33767031.\nAnswer: 270136248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**3 + 18*z**2 + 8*z - 17. Let q(p) = 3*p**3 - 6*p**2 - 3*p + 6. Let h(g) = -6*i(g) - 17*q(g). What is m in h(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1096 - -10137.6.\nAnswer: 11233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 11*c - 3. Let p be 1 - (-3)\/3 - 0. Is a(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91673689 divided by -2\nAnswer: -91673689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4893 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x*x\/x**(-2)*x*x\/(x\/(x**8*x))*x assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42105786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 31*w - 388. Let j be c(16). What is the greatest common factor of j and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -47. Let d be (2\/6)\/(f\/(-9)). Let o be -1*(-16)\/(-12)*d. Solve -w + 2*b = 1 - o, 0 = 3*w + 2*b - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0 + 0 - -4. Suppose -u + s + 25 = 5, -5*s - 43 = -w*u. Let n = 29873\/2 + -14918. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 154, 137, 116, 91, 62, 29?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - -15. Let l be ((-90)\/x)\/(10\/3192). Let b = l - -3207\/4. Find the common denominator of 42\/5 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 33843*j + 1047195. Calculate g(-31).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + 5 + 3*-1*sqrt(2268)*5)*-3.\nAnswer: -14 + 810*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*w + 2*p - 2, 5*w + 5*p - 30 = 0. Suppose 2*d - d - 3072 = -w*n, 0 = 4*d + 16. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = -2*a, -4*a - 5*u = -3*a - 18. Suppose 2*q = 6 - 16. Let h = a - q. Let d(s) = -s**2 + 2*s. Give d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*n - 324, -5 = 5*n - 25. Let r = d - 451\/4. Let k = 35 + -32. Sort -2\/5, k, 0, r.\nAnswer: r, -2\/5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from gjhljmlhnmhg?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*j**2*l + 201756*h*j + 429921*h*l - 21*h*n**2 - j**2*n + 14*l*n**2 with respect to l.\nAnswer: 2*h*j**2 + 429921*h + 14*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 6. Calculate the remainder when j(-8) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -319\/63431 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30066\/65 - -29215247\/63180. What is the common denominator of -27\/22 and q?\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/65*27\/1863*115?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (0 - 9\/1). Suppose 5*r + g = 16. Suppose 0 = 4*c - r*i - 244, -c - 4*i - 53 + 132 = 0. What is the greatest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 + -4.5. Let z be (-76)\/(-16) + 3 - 0. Let s = z + -85\/12. Which is the third biggest value? (a) s (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.141 + -8.559. Let m = s - -8.248. Round m to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Let p(x) = -3 - 4 + x + 3 + 2. Let l be p(k). Solve 0 = b - l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31866 and 25.182?\nAnswer: 31891.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49298*q**5 + 48636*q**2?\nAnswer: 2957880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let x(v) = -10. Let i(j) = 7. Let h(t) = -7*i(t) - 5*x(t). Let k(p) = -1. Let m(f) = -6*h(f) - 5*k(f). Determine m(w) + y(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**2 + 6*q - 6. Let y(o) = 9*o**2 + 7*o - 7. Let f(b) = 6*u(b) - 5*y(b). Let z be f(-2). What is the greatest common divisor of 36 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2275044 by -5.\nAnswer: 2275044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 13. Let j be o\/(0 + -3 - -1). Suppose j = y - 4 - 0. Solve -y*k = -7*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/42400 and 97\/289168.\nAnswer: 14458400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 110489\/660 + (27\/(-12))\/9. Let g = -1794\/11 + m. Find the common denominator of -11\/9 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287340 is divided by 1975?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(4) - (sqrt(96)\/sqrt(6) + sqrt(4))))\/((sqrt(9) - (sqrt(9) + 1*sqrt(576) + sqrt(9))) + sqrt(36)\/sqrt(4)*2).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978893*f - 2725*f**3 + 2 - 2 - 978893*f.\nAnswer: -2725*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4 - 14747*f**3 + 2*f**2 + 29032*f.\nAnswer: 72*f - 88482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605*q + 1610*q + 1605*q + 1604*q - 9640*q + 1607*q + 1606*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 + 192*a**2 + 567*a = 0. What is a?\nAnswer: -189, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*w = -5*n - 7, -3*w - 11 = 2*n. Solve n*f = 3*s + 5 + 11, 5*s + 16 = -2*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2 + 6. Let c(f) = 14*f**2 - 17. Let w(j) = 2*j - 7. Let z be w(-5). What is z*p(y) - 6*c(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11a7c1 (base 13) to base 9\nAnswer: 714422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -4)\/(-1) - -100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771232?\nAnswer: 2, 7, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3*n*p + 21*l**3 - l*n*p - l*p - 2*n*p - 1317*n wrt l.\nAnswer: 3*l**2*n*p + 63*l**2 - n*p - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -62. Is v > 1\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 2.49915. What is x rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1140243?\nAnswer: -1140241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + (-21 - -2) + 11 - (-115 + 3)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -7*f**6\/30 + 7*f**2 + 25*f. Find the first derivative of k(z) wrt z.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 1.8\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.422 - -0.422. Let q be -1 + 0 + 3 - -2. Which is the closest to 0.1? (a) -1 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + -0.31. Let z = 0.36 - v. Which is the smallest value? (a) z (b) 2\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 183, 450, 835, 1344, 1983?\n\"Answer: d**3 + 50*d**2 - 2*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577322742.\nAnswer: 2, 1973, 399727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(-2580)\/43. Suppose 0 = -q*i + 17*i + 90. What is the remainder when 52 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 13. Let k = -1 - -4. Let i = k - q. Which is smaller: -2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/15 - -3*(-8)\/(-10). Suppose -a*k + 5 = 5*n - 5, 5*n = -4*k. Find the second derivative of 10*h**4 + 24*h - 5 + 16*h**n + 5 wrt h.\nAnswer: 312*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*f + 31 = 0, s - 4*f - 14 = -6*f. Suppose -4*g + 0*g = 12. Calculate the least common multiple of s and 6\/5*(-20)\/g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(90) + (sqrt(240) + sqrt(240) + sqrt(240)*-2 + sqrt(240))\/sqrt(12))\/((sqrt(36)*1)\/sqrt(9) - sqrt(196)*1) + 4.\nAnswer: -2*sqrt(5)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -2 - (-4 + 4). Suppose 0 = -t*x - 5*x - 50. Let f be (15\/x)\/(2\/(-4)). Sort 4, 1, f in decreasing order.\nAnswer: 4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.175 - -112834010557?\nAnswer: 112834010557.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/7 + 20*i\/7 + 78\/7 = 0. What is i?\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -368, -369, -370?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 342761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -56*m - 246. What is f(-7)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {b: 2, t: 1, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12 + (-57)\/132\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 72100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 + 1.1. Let b = h + 1.6. Put 2, 4, b in decreasing order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 2*t + 2. Suppose 65*n - 66 = -1. Calculate y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 5*y**2 + 2*y + 2 - 5*y. Let v = -290 + 292. What is the units digit of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/(-10))*(-270)\/(-75).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 2*b - 2. Suppose 3*a + 0*i - i = 56, -3*a + 48 = 3*i. Calculate the least common multiple of w(3) and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4298*j - 17248 = -58765 + 14746 - 46295 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 20*d + 1035 = 0. Let f = d - 205. Suppose 6 = 5*m - 9. Solve f*l = m - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((0 + sqrt(5))*6 + sqrt(5))*-6)**2 + -3.\nAnswer: 336*sqrt(5) + 8833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 32212111213?\nAnswer: -32212111331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 33, -3, -107 in ascending order.\nAnswer: -107, -3, -2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 129*m + 5. Let h be b(2). Suppose 4*q = 209 + h. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from byezbfzzyz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2736) + -1 + sqrt(2736) + 0 + sqrt(2736) + -1)**2 + 3.\nAnswer: -216*sqrt(19) + 24636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*n)*(-6*n + 13*n - 3*n) + (0 + 0 + 1)*(0*n**2 + 0*n**2 - 2*n**2) as z + s*n**2 + i*n and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11908 + 23548. Suppose c = -24*g + 39*g. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.9, 74 in ascending order.\nAnswer: -0.9, 12, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*b - 27. Let f be ((-2)\/b)\/((-1)\/(-4)). Let y(h) = -22*h + h**2 - f - 2*h**2 + 18*h. Calculate y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -253 - -9?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17415 - -17416. Let x(l) = -9*l + 2. Let s(r) be the third derivative of -9*r**4\/8 + 5*r**3\/6 - r**2. Let a(t) = 3*s(t) - 8*x(t). Give a(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 308*c**4\/3 + 2*c**3\/3 - 2*c. Let q be y(3). What is q rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose -4*b - m - m = 10, 0 = 4*b - 3*m + 5. Put 1, j, -1, b in increasing order.\nAnswer: b, -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x - 67*x - 26*x - 7*x.\nAnswer: -75*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 - 79476*t**2 - 1908626*t + 1988100 = 0. What is t?\nAnswer: -25, 1, 39762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284746*n - 2521 = -1284702*n - 365 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -2*k, -2*k - k = r - 17. Suppose -3*s + m - r*m + 1184 = 0, -s + m + 388 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = f - 0*f - 5*v, 0 = -2*f - 2*v - 40. Let k = 2 - f. Find the third derivative of 9*g**2 - 5*g**4 + 23*g - k*g wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373819?\nAnswer: 23, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (0 - 9) - (-2 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-20)\/(-5) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/((w*w*w**(-2\/7)*w)\/w)))*w\/w**14*w)**19\/((w\/((((w*((w\/w**2)\/w)\/w)\/w)\/w)\/w))**(-20))**(-2\/41) assuming w is positive.\nAnswer: w**(-71011\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 10. Let z be w(7). Suppose -z*p + 10 = -10. Solve -j + 0*j + p = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 4. Suppose -10 - 17 = 3*k. Let q(z) = 13*z - 9. Let b(i) = k*x(i) - 4*q(i). Let y(d) = d. Determine y(b(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 (base 15) in base 4?\nAnswer: 103212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-480)\/(-8))\/5)\/(12\/8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 10*o + 126. Suppose -5*s + 484 = -7*n + 8*n, -4*n = 3*s - 304. Calculate the least common multiple of o and s.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 969744 + -307?\nAnswer: 969437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1925 and 700.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -21\/2, -1\/3.\nAnswer: -21\/2, -5, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < 59\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:31 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/14513 and -87\/2524.\nAnswer: 58052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 823428527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/5 of a kilometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(102)\/(sqrt(588)\/sqrt(2)) - (-4*sqrt(136)*1)\/(2*sqrt(128)).\nAnswer: 3*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4214 bigger than -4213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2862233, 4, -3 in descending order.\nAnswer: 2862233, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6293, -12560, -18827, -25094, -31361, -37628?\n\"Answer: -6267*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-4))\/(3\/324*3). Let y = 78 + w. Let z be ((-1)\/y + 4\/(-6))*-3. Let k(t) = -2*t. Give k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -3 + -4 + -4 - (0 + 7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*c - 21*c - 109 - 157*c**3 + 40*c - 77 wrt c?\nAnswer: -471*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6888896, 6888895, 6888894, 6888893, 6888892?\nAnswer: 6888891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m - 2. Let a be j(-4). Calculate the greatest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.930703*-0.27.\nAnswer: -0.25128981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 take away 242.99?\nAnswer: -760.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 93600215 + 93600209 + 2*u.\nAnswer: 5*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9084 and 20.\nAnswer: 45420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3\/2 + 13425*r**2 - 53670*r + 53660 = 0. What is r?\nAnswer: 2, 5366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559624292 divided by -23581?\nAnswer: -23732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 - 28.1. Let v = p - -31.75. Let w = -0.250092 - v. What is w rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 + 65*g + 189. Give b(-4).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**2 + 48*k**2 - 21*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i = 5842*i + 655965 for i.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -3458.9\nAnswer: -1383.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 612915?\nAnswer: -61291c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/3787 or 1?\nAnswer: 4\/3787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.28 and -520?\nAnswer: -18345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 483884*n + 219432.\nAnswer: 483884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8366868661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + k + 13*k)*(0*k - 2*k + 0*k) + (2 - 2*k - 2)*(-1 + 1 + k) as r*k**2 + q + m*k and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277944 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 7*u - 6. Let j be t(4). Let w = j - 4. Solve 2*l + w*l + 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 11) in base 3?\nAnswer: -111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 2*i**2 - 2*i + 1. Let o be ((-1)\/(-2))\/((-14)\/(-28)). Let m be l(o). Solve 1 + 9 = -m*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101222102101 + 2?\nAnswer: 2101222102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a**6 + 0*a**3 + 0*a**5 - 2\/105*a**7 + 11\/8*a**4 + 19*a**2 + 0*a + 0. What is the second derivative of j(h) wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**4 - x**2 - x - 1. Let j(b) = -16*b**4 - 24*b**3 + 72*b**2 - 28*b + 36. Let a(h) = -j(h) - 20*y(h). Factor a(c).\nAnswer: -4*(c - 2)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 12, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -77*x**2 - 680*x - 1058. Calculate s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 178938467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 830110\/301 + -19342\/7. Do a and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-2)\/4). Suppose 584 = 4*v + 4*x, 5*x + 431 = l*v + x. Suppose 2*s + 50 = 4*p, 8*s + p = 4*s - v. Round s to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13712355 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040515 rounded to five decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuvhg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 76*f**2 - 3*f - 87. Let x(p) = p**3 + p + 48. What is the remainder when x(0) is divided by l(-38)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -16. Suppose 4*o + o - 8 = v*p, o = 1. Which is smaller: -2\/83 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.22? (a) -9 (b) 2 (c) -2 (d) 2\/23 (e) -104\/9 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 435407.15 - 439810.56925. Let o = a + 4404. Let i = -0.58 + o. What is i rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42073 - -2524477\/60. What is the common denominator of y and 139\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. What is the second derivative of -z*r + 2*r**3 + 7*r + 3*r**3 - 3*r wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58028)\/1793 - (4 - 38))*(4 + 29)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4348438.13 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) 0.08 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-759)\/46 - -14)\/(70\/72).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 12\/37 (b) 12 (c) 1 (d) -1 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4124 and 10075?\nAnswer: -41549300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1098?\nAnswer: 2\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t - 7. Suppose 6*p - 14*p = -8. Let u(g) = -g - 1. What is p*b(i) - 4*u(i)?\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*f - 2*f = 54, 4*f = -5*s + 66. Let k(p) = p**3 - 8*p**2 - 15*p + 13. Let z be k(s). Suppose -g + 0*g + z = 0. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*z + 18*z + 238*z - 4979 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -3) + (-3 + -1 - 8). Let g be (45\/6)\/(w\/(-16)). Is 235\/g*-2*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/36190625 and -22\/3.\nAnswer: 108571875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*y**3\/5 + 71*y**2\/5 - 94*y\/5 - 16\/5.\nAnswer: (y - 1)*(3*y + 8)*(13*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -22142\nAnswer: 487124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 273, 415, 563, 717, 877?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2 - w + 0*w - w + 1. Let y be k(-3). Suppose 3*d - d - 1792 = -3*z, -2988 = -y*z - 3*d. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-86 + 40)) + -69\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31\/5? (a) 197 (b) 1\/3 (c) 83 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - 4*sqrt(567))\/(6*sqrt(9)*3).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aecauua. Give prob of picking 3 a and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335087 and 1564?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*p - 3*x = -23, -p + 11*x - 11 = 52 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 7 - 41. Find the third derivative of d*o**5 + 8*o**5 + 5*o**2 - 15*o**5 wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + t + 3 = -0*g, -2*g = 2*t + 6. Solve 9*o + 3*m = 4*o + 32, g = 2*o + m - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33232539\/326 - -101940. Find the common denominator of b and (-7)\/(-2)*483\/(-196).\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let a be k(-8). Let h be ((-4)\/a)\/(2\/20). Sort h, 0.4, 3.\nAnswer: h, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -5\/2*x**4 + 0*x**2 + 0*x**3 - 233*x - 73. What is the first derivative of u(q) wrt q?\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 5. Let d be o(-4). Let r = d + -10. Let l(w) = w**3 + 8*w**2 + 8*w + 10. Let v be l(-7). Solve -r*n = -3*t, 0*n + v*n + 3*t + 30 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + ((-13)\/(-4) - 3). What is the nearest to 0.1 in d, 0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1010.7 - 964. Let a = 346.7 - n. Let m = a - 300.000211. Round m to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*r - 36. Let f = 24 - r. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 5161*k**3\/3 - 1119*k**2 - 4094. Find the second derivative of p(h) wrt h.\nAnswer: 10322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z - 4 - 17 + 48 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -211*j + 237*j. Which is smaller: j or -22.87?\nAnswer: -22.87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 21 + 23 = 2*k, -4*k + h + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207993777?\nAnswer: 3, 3967, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 0, -2*q + u = -5*q + 15002. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 111. Suppose -2*i - 2*b + d = -3*b, -b - 70 = -3*i. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3154773, -3154772, -3154771, -3154770, -3154769?\n\"Answer: h - 3154774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 7, z: 8, e: 2}. Give prob of sequence me.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*h - 15 = 0, 0 + 12 = 4*h. Suppose 2*i - d*i + 1 = 0. Suppose l + i - 3 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*u + 2, 7 + 8 = 3*x + 3*u. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 656 - 7136. Suppose 15*w - 24*w = -m. Suppose 0 = 5*s - w - 830. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25338.5 + -14.34\nAnswer: 25324.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 16632.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-184)*80)\/(-85).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = -4. Suppose 0 = 8*a + 10 - z. Is (45\/(-36))\/(a\/8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqalqalaaqaa. What is prob of sequence aaq?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/9 + 146*r**3\/9 + 50*r**2 + 454*r\/9 + 152\/9.\nAnswer: -2*(r - 76)*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/11 - 1018018*b**2\/11 - 1018032*b\/11 + 6108120\/11 = 0?\nAnswer: -3, 2, 509010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3*w - 304*v**3 - v**2*w + 13*v**2 + 1269*v*w + 6 wrt v?\nAnswer: -12*v*w - 1824*v - 2*w + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 4. Let x be z(-7). Let c = 15 + x. Suppose 2*s + 4 = 14, 5*y - c*s - 405 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 2*f - 4. Calculate c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(16 + 11 - 13)*(-16*m**2 - 3*m**2 - 96*m**2) to i*m + w + b*m**2 and give b.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 v when four letters picked without replacement from {v: 1, e: 16, x: 3}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*f**2*g**3*q - 2*f**2*g**2*q**2 + 16868*f**2*g - 18749096*f*g**3*q**2 - f*g**3 + g**3*q wrt q?\nAnswer: -4*f**2*g**2 - 37498192*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.3 + 144.3. Let u = -117.97 + t. Round u to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -84. Let p(d) be the third derivative of d**4\/24 - 2*d**3\/3 - 4*d**2. Let k be p(8). Solve w = -k*l - 0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = 14*c - 304. Let j = 4.93 + 0.07. Sort c, 3, j in descending order.\nAnswer: j, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 6*b**2 + 39*b - 1. Let j be a(-10). Calculate the highest common factor of j and 342.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*u - 118*u - 8932 = 0. Is 58 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16511056*v*z + 41391060*v wrt z?\nAnswer: -16511056*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211203 - -12220?\nAnswer: -132323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1060 divided by -4\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2234 - -404214231?\nAnswer: 404222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x**(-27))\/x)**(-11\/5))**46)**(2\/75) assuming x is positive.\nAnswer: x**(26312\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 6*l - 54. Let n be s(-4). Solve -n = -57*d + 58*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 7046.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -53312*a + 18232721. What is s(342)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let d(f) = -11*f - 7. Let a(c) = -2*d(c) - 10*j(c). Let r be a(-6). Suppose 3*w = r*w + 191. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 240?\nAnswer: 23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.33 - -0.67. Which is the nearest to -1? (a) 5\/2 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(175) - sqrt(175)) + 2)**2 - ((sqrt(343) + 2)**2 + -1).\nAnswer: -346 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -7, -4, -1 in ascending order.\nAnswer: -34, -7, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1744554 - 9842.8311446. Let x = w - -9838. Let i = x + 6. Round i to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-11))\/w*w*w*(w**19\/w*w)\/w*w*w assuming w is positive.\nAnswer: w**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20212 (base 3) to base 8.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - (-9)\/(54\/(-27762090)))\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -30*n. Let w(u) be the third derivative of u**5\/30 + 9*u**2. Give t(w(i)).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 558*g**2 - 4347*g - 249900.\nAnswer: -3*(g - 175)*(g - 28)*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031974 rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 14*a**2 + 14*a - 11. Let b be y(13). Suppose q - 161 = -b*k, -q + 3*k - 2*k = -164. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b + 27 = 5*s - 62*b, 0 = -5*b + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*f - 0 - 4, t = 3*f + 8. Let o = 10 + t. What is the remainder when 34 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -o. Let d = o - 19. Solve 9 = 5*v - d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14935, 59169, 132871, 236041, 368679, 530785, 722359?\n\"Answer: 14734*d**2 + 32*d + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-1*4 + (sqrt(45)\/sqrt(9) - sqrt(5))*-3 - (-3*sqrt(20)*-2)\/(1*sqrt(256)).\nAnswer: -19*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/132 and -3\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5\/7 - 48*y**4 + 11568*y**3\/7 - 82560*y**2\/7 - 1305600*y\/7 - 3072000\/7 = 0. Calculate y.\nAnswer: -4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2135*w - 11034 - 43640 = 5106 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) 0 (d) 1\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*k = -2*h + 2, -h + 3*k = 3. Suppose 0 = 5*y + 5, 4*y - 9 = 2*q + 3*y. Let j be 5 - 3 - (0 - -3). Sort h, q, j in ascending order.\nAnswer: q, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q*q*q*q**(10\/7)*q))\/q))\/((q*q*q**(-5)*q)\/q*q))\/(q\/(q*q*q**2)*q*(q**(2\/47)*q)\/q) assuming q is positive.\nAnswer: q**(3417\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(637) - (5 + (1 + sqrt(637) + sqrt(637))**2)) - (-3 + -1 + sqrt(637) + 1)**2) + 1.\nAnswer: -3202 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 83?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 z when four letters picked without replacement from zzzzzzzzmzzzzzz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 7*s**2 - 9*s + 6. Calculate the remainder when 249 is divided by k(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 4846*v - 2048904.\nAnswer: -(v + 468)*(v + 4378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*3*4\/120. Suppose 0 = -5*z - 5*j + 35, 4*j - 3*j = 5. Let l be (z\/3)\/(3\/9). Which is the closest to 0.1? (a) l (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*i = 8, -5*i + 4*i - 4 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:51 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 1. Let d(h) = -23*h - 38. Determine d(n) - 6*v(n).\nAnswer: n - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 68.6. Let y be (-4)\/6*(-228)\/32. Let o = -5 + y. Put -1, o, q in ascending order.\nAnswer: -1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282 + -283. What is the second biggest value in -1.2, 4, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.27 + -0.03. Let m = 0.2 - i. Let x be 2 - 5 - 11\/(-3). What is the closest to 2\/7 in x, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-3))\/c)\/(c\/(c**(7\/3)\/c)))\/(c**1\/c*c**(3\/13)) assuming c is positive.\nAnswer: c**(-113\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178568144 to the nearest integer?\nAnswer: 13363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -i + 18 + 13, -2*m + 25 = -i. Is (4\/14 + 3888\/m)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flflflllllllll. What is prob of sequence fflf?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/191958 and 56\/4173?\nAnswer: 191958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15188, -15743, -16316, -16913, -17540, -18203, -18908, -19661?\nAnswer: -20468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 501 + -146. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137\/174 + -7\/58. What is the third smallest value in -14, 0.3, y, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 12*f - 1. Let i(k) = 4*k. Let j(r) = 8*i(r) + 3*s(r). Determine j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 3*f + 22 = 0, 0 = 4*l - 2*f. Suppose 0 = l*x - 5*t + 3*t - 4, 2*x + t + 2 = 0. Suppose 8*q - 7*q - 15 = x. Solve -3*m - q = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27321 = 12*m + 2265. Suppose 2120 = 3*v - 5*a, 6*a = 3*v + 9*a - m. Round v to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkbeebebbpkbabbab. Give prob of sequence bp.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5 - 31056*q**4 - 119592812*q**3 + 7504527120*q**2 - 116784612050*q.\nAnswer: -2*q*(q - 31)**2*(q + 7795)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 3*o**2 + 3*o + 5*o - 4*o - 5. What is w(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**1)\/(s*s*s**(2\/3)*s))**(8\/19))**(3\/16))**(22\/7) assuming s is positive.\nAnswer: s**(-121\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 28*s + 4*s as c + w*s and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -3, -18, 5, 13 in ascending order.\nAnswer: -18, -11, -3, -1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -11101000011110?\nAnswer: 11101000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -468860*g**3*t**2 + 2*g**3*t - g**2*t + g**2 + 218*g*t**2 - 7*t - 8 wrt g?\nAnswer: -2813160*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1109\/92 or -2\/3?\nAnswer: -1109\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9486 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-4)\/8) + -4. Let n(z) = z**2 + 4*z - 1. Let p be n(-2). Sort 3, p, y in ascending order.\nAnswer: p, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 90\/13, 5, -0.4, -9, 0, 1 in ascending order.\nAnswer: -9, -0.4, 0, 2\/9, 1, 5, 90\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 42 = -3*l. Suppose 5*a = 2*i + 28, -3*i + a = l - 5. What is the biggest value in -2\/7, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -7. Let j = y - -24. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -551.5 - -552. Which is greater: d or 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*b - 1 = 0, -y + 331 = b + 319 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 4, i: 10, h: 2}. What is prob of picking 1 u and 1 y?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 52*p. Let z(q) = -12*q + 3. Give r(z(a)).\nAnswer: -624*a + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdgrzwwgrggd. What is prob of picking 1 g and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(-7\/5)*y*y)\/y)\/(y**(-1\/4)*y))\/(y*y*y**(1\/8)*y\/y**(-2)))**(-2\/9))**(-2\/11) assuming y is positive.\nAnswer: y**(-251\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**2 - 2*r + 17. Let z(b) = b**2 + 4. Let h(v) = p(v) - 6*z(v). Give h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 - 5352*x**4 - 69140*x**3 - 318448*x**2 - 593856*x - 339200 = 0. What is x?\nAnswer: -1325, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - ((sqrt(119)*1)\/sqrt(7))**2) + (sqrt(187)*-1)\/sqrt(11) + -3 + (-4 + -1*(sqrt(17) - sqrt(153)*-2))**2.\nAnswer: 57*sqrt(17) + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -82, -324, -724, -1282, -1998?\n\"Answer: -79*r**2 - 5*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -13\/307834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8373*m**2 - 6*m. Let n(k) = 2*k**2. Calculate l(n(q)).\nAnswer: 33492*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 313*h - 66 - 1499 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + s**2 + 2*s**2)*(0*s + 2*s - 4*s) + 13*s**3 - 7*s**3 + 44*s**3 as m + c*s**3 + r*s + q*s**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**4 + 4*v**3 + 26*v - 752. Let u(w) = 44*w**4 + 18*w**3 + 104*w - 3007. Let a(c) = -9*r(c) + 2*u(c). Differentiate a(b) with respect to b.\nAnswer: -44*b**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -701, -688, -675?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1065428*x**2 + 4*x - 3. Let m = -3 + 5. Let k be y(m). Let i = -10161717 + k. What is i rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3419 + 42?\nAnswer: -3377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -39*x**2 + 10*x - 3. Let j(b) = 13*b**2 - 3*b + 1. Give -14*j(y) - 4*p(y).\nAnswer: -26*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 303839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - h + 2 = 0, -5*f + 3*h = -13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 27. Let s(m) = -100*m + 340. Determine -s(o) + 12*t(o).\nAnswer: 88*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45360*p**2 + 109850 with respect to p.\nAnswer: -90720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8105 - -12571. Calculate the highest common factor of g and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1877, 1713, 1489, 1205, 861, 457, -7?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 128\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 divided by -4.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -567 + 603. Solve -5*o - 4*o = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 4 - 4)*(-1 - 3 + 2) + 2*t + 0*t - t)*(4 - 1 + 0).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 1)*(-146 + 78 - 163)*(0 + x**2 + 0) + 0*x**2 - x**2 + 7*x**2 to the form l + k*x + h*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 99940486.\nAnswer: 19988097.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + 23904\/270 - (8 + 10)?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = 6*u - 13*u. Calculate the remainder when u is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -72. What is the highest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -6. Suppose 5 = -h*b + b. Let g be (-8)\/(-12)*b*3. Is -3 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -r + 1240. Suppose 0 = -2*t - 2*v + 950, -v - 2373 = -5*t - 4*v. Suppose -c + t + r = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-1\/12)*b*b)\/b)**(-15)*(b**(-1)*b)**(3\/7))**(-22) assuming b is positive.\nAnswer: b**(2035\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 603270 and 1692.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 + 21*g**2 - 120*g + 132 = 0. Calculate g.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 9*f - 4. Let g be v(9). Let o = 1.37 + -0.07. Let z = o + -1.1. Which is the third smallest value? (a) 1\/13 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 + -1)*(-5)\/10. Suppose f*a - 3*a - 225 = 0. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x, 0 = -7*f + 11*f - 2*x - 2712. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3246392, -3246394, -3246396, -3246398, -3246400, -3246402?\n\"Answer: -2*d - 3246390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-4 - 20\/(-24)). Let u = -109 - -109. What is the closest to -2\/5 in -0.4, u, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -162, -390, -574, -708, -786, -802?\n\"Answer: y**3 + 16*y**2 - 283*y + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -129587.4 from 1054475.\nAnswer: 1184062.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.5? (a) -0.05 (b) 0.04 (c) 2\/5 (d) 5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y - 7. Let t(g) = -7*g - 6. What is -5*q(s) + 6*t(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n. Let y be 3 + (n\/(-1))\/(-1). Suppose -10 + 1 = -y*d. Solve d*q = q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 378*j**2 - 1157*j - 11957. Give u(-375).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.17 (c) -8\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z + 13. Let j be l(-3). Let t(h) = -9*h + 148. What is the remainder when t(j) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51728 smaller than 51728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = r, -4*r = -r + 4*s - 20. Let x(m) = 2*m + 16 - 8 + 6. Let b be x(-6). Is r not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -561, -1976, -4789, -9480, -16529, -26416?\nAnswer: -39621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100))*2 + sqrt(1100) + sqrt(1100) + 2 + 2 - (-1 + (sqrt(1100) - (-2 + sqrt(1100))))*1)**2.\nAnswer: 80*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15377208 divided by -3844302\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 12*h**2 - 2*h + 28. Let a be o(5). Suppose a + 46 = 28*s. What is the highest common factor of s and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from rrffhzehferzcf?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (1 + sqrt(75))) + sqrt(75))**2*-2 - ((-1*sqrt(825))\/sqrt(11))**2.\nAnswer: -227 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 2, -0.1, -2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2 (b) 1 (c) -1 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*m*r**3 + 2*k**3 - 1267*k**2*m*r**2 + k**2*m*r - k*m*r**3 - 58*k*r**3 - 4*r**3 wrt r?\nAnswer: -6*k**3*m - 6*k*m - 348*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + r - 58 = 2*r, 90 = -3*s - 3*r. Let t be 12\/(-24) - 22\/s. Which is the closest to 0? (a) -0.2 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**4 + 1461*x**3 - 22212*x**2 - 186516*x = 0.\nAnswer: -6, 0, 22, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 3*r - 7. Let u be k(-3). Let m be 1\/((-20)\/6 - -3) + u. Which is bigger: -2\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6367, -12397, -18427, -24457, -30487, -36517?\nAnswer: -42547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 7:41 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1286 - -1273. Sort -4, 9, -3\/7, p in ascending order.\nAnswer: p, -4, -3\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 2*p + 9. Let y be g(0). What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 3245?\nAnswer: 3245.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211200221 (base 3) in base 5?\nAnswer: 1012144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002220 (base 3) in base 16?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42516502 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/17))**32 assuming j is positive.\nAnswer: j**(576\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -127633613.\nAnswer: -127633612.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -16987 (c) -3 (d) 471\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -1 - (-11 + 4 + -1). Suppose z*j - 8 = -41*k + 37*k, -2*j = -5*k + 10. Put 0, k, -3, 1 in decreasing order.\nAnswer: k, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6777806669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from jyycyjye.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210021 (base 3) in base 5?\nAnswer: -20203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 - 10176*r\/5 + 4072.\nAnswer: -2*(r - 2)*(r + 5090)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 8. Suppose 14 = -d*v - 5*g, 5*v = -5*g + g - 1. Factor 4*p**v + 4*p**2 + 3*p**2 + 3*p**2 + 2*p**2.\nAnswer: 4*p**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2727 - 278.30425\nAnswer: -3005.30425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 22*f**2 + 118*f - 118*f. Let g(p) = 5*p**2. Give v(g(m)).\nAnswer: 475*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 7. Calculate the remainder when l(8) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -360\/351197 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8, 4*u - 14 = 2*u - 3*f. Let v = -0.4863 + 0.4963. Which is the third smallest value? (a) v (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2))\/x**(-2\/17)*x**(-4\/3)*x*x**5*x)\/((x*x**(1\/11))\/(x\/(x*x**7)))**(-26) assuming x is positive.\nAnswer: x**(122942\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 4, -4 in decreasing order.\nAnswer: 16, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 82 + 54. Let k be (69 + 1)*4\/10. Let m = y + k. Calculate the greatest common divisor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1394532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - x + x)*(4 - 2 + 0) + 2055*x**2 - 2056*x**2 - 11 - 10 to the form s*x + q*x**2 + z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 393.\nAnswer: 196.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257022*f - 257022*f + 496*f**2.\nAnswer: 496*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2317855094890 and -0.2?\nAnswer: 2317855094889.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/2 - 2892885*z - 1673756724645\/2.\nAnswer: -5*(z + 578577)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 21844*i**2 + 10857*i**2 + 10914*i**2 + 4.\nAnswer: -73*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 16824223.\nAnswer: 67296892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 206 = -w, 4*w = -0*w - 4. Suppose -4*y = -q - 21. Suppose -3*k + y = -183. What is k rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*c + 3*g - 20 = 11*c, -34*c - g - 64 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 4*y, 2*y - 3 = 4*l - 3*y. Let p = l + 21. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 22 = -k + 4*i, -5 = -5*k + 4*i. Let u(l) = 20*l - 12. Let t(g) = -7*g + 4. Let w(d) = k*u(d) - 8*t(d). Find the first derivative of w(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3400)*4)\/sqrt(512)*3.\nAnswer: -15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 5:43 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -f + 5, 43*q + 15 = 3*f + 42*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 + 259. Calculate the highest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 64911483?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 8:15 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 228800000 rounded to the nearest 1000000?\nAnswer: 229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15260437 is divided by 2543404?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 6*f**2 - 3*f**2)*(1 - 2 - 1) + 3 + 5*f**2 + 3 - 7.\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7220*-2.\nAnswer: -14440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {j: 2, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 7*c**4\/8 - 53*c**3\/2 + 42*c**2. What is the tens digit of g(31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*13\/(572\/33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r = -20. Sort 3, r, 0.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 15 = 0, 881*d - 13 = 880*d + 4*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157.63 - 157. Let w = 5.37 + k. What is the biggest value in 1\/12, w, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 185*c*k**2*v**3 - 3*c*k**2*v**2 + 1414*k**2*v**2 + 2*v**3 wrt c.\nAnswer: 185*k**2*v**3 - 3*k**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1374032 and -28615?\nAnswer: 28614.8625968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -319\nAnswer: -1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589607 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 1. Let h(k) = k**2 - 7*k - 6. Let a be h(7). Suppose 294*f - 288*f + 54 = 0. Let l be a\/(-1)*3\/f. Calculate c(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**28)**(-22\/7)*(w**45\/w*w)\/w**24 assuming w is positive.\nAnswer: w**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmb when three letters picked without replacement from bamambbaabbmbj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -35438 + 256445.964?\nAnswer: 221007.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 40 = -c, 0*c - c + 80 = 2*h. Calculate the remainder when h is divided by (12\/(-16))\/((-1)\/28).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 1421*s**6\/6 + 483*s**2 + 1797. What is the second derivative of t(z) wrt z?\nAnswer: 28420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29514 is divided by 73.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/274872 and 53\/30.\nAnswer: 1374360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58193716561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662624 a multiple of 753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 6*h**2 + 6*h + 13. Let q be (-46 + 43)\/(6\/(-14)). Calculate p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216347.\nAnswer: 216347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*u - 14, -2*u = 3*g + 2 + 9. Let t be (g\/(-5))\/(14\/210). What is the third derivative of -454*p**2 + 7*p**6 + p**3 - p**t + 471*p**2 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 17 = -3*s, -14 = z + 10*s - 13*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 6*y - 5*z - 30, 5*y + 15*z = -30 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2744 = 5644*m - 5637*m. What is the greatest common divisor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479889175.\nAnswer: 5, 17, 19, 67, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 990 + -1008 + (0 - -8) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 11:33 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l - 20. Let v = 7 - l. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*d + 8, -5*d + 4 = 3*p + 14. Let z be p\/((-9 + 3)\/2). Solve -5 = -c - z*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 5*b - 28, 3*u + 103 = -4*b + 99 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418684540 to the power of 1\/3, to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0 - -2) + -2 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -2\/7, 3, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n + 33*n**2.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 166*u + 1174. What is z(7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105936681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -4. Let n(k) = -2 - 8 - 3*k + m. Let l be n(-3). Solve -1 = -l*z - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418915.\nAnswer: 5, 7, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 20064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/81 - (-2800)\/(-6048).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) 2 (c) -0.1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 491321*b**2*i**2 + 2*b*i**2 - 195*b - 8*i - 49 wrt b?\nAnswer: 982642*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -5) + (-4 - 0 - (-3 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -0*f - f + 4*n, 0 = -f - 4*n + 78. Let s = 27 - f. Let b = s + 54. Solve 5*x + 11 = x + 3*j, 0 = 4*x + j + b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 647398 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 60 = -6*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.066*-4518\nAnswer: 298.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -89*s**3 + 2*s**2 + 8*s - 16. Give h(2).\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05037 - -24059.05037. Let b = -24070.043 + o. Let d = b + 11. Round d to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 1258?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from xffxcqcb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 6. Let p = -6 + 7. Suppose 1 + p = j. Calculate the greatest common divisor of j and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -13*z - 24. Suppose -n - z = -5*a, -6 = -5*a + 2*a. Solve 0 = p + p + 4*q + 18, 0 = -2*p + n*q + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-516)\/1118)\/(6\/(-52))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58 and 0.14.\nAnswer: 8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-29)\/(-2610) + (-14)\/(-10) + -2 + 0 and -139\/936?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k + 4. Let q be d(-4). Is (q + 26\/6)*(13851 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*u**2 - 3*u**4 - 4*u**2 - 97 + 15 wrt u.\nAnswer: -12*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12286069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59982543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 13*d - 36*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 435*b*f**3 + b*f**2 - b*f + 2*b - 55923*f**6 + f**2 + 4*f - 22701 wrt f?\nAnswer: 2610*b - 6710760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777142 is divided by 97061.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 120 + 3 = 0. Suppose -58*w = -62*w - i*r + 99, w = 3*r + 21. Solve -4 = 20*m - w*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784*f + 2*w = 1785*f + 4, -4*w - 4 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:42 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39617.6 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 301*m**6\/40 - 60*m**3 + 10*m**2 + m. What is the derivative of k(o) wrt o?\nAnswer: 2709*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwzvwvnwnw. What is prob of picking 2 w and 1 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128711914.\nAnswer: 2, 4759, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 6*l + 180 = 0. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 2*f**3\/3 + 4*f**2 + 7*f. What is the tens digit of i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqdq when four letters picked without replacement from ddqcqqqcqdd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -1 + -2 - (-1 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33050\/10*15\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0 + 1\/42*u**7 + 5\/336*u**8 + 15*u**2 + 0*u**3 - 1\/12*u**5 + 0*u**4 - 1\/24*u**6 + 0*u. Factor l(v).\nAnswer: 5*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2 = 2*a, -2*a - 5 = 3*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.11111537 take away -6.3?\nAnswer: -5.81111537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134.2 + 23.2. Let n = y + 84. Which is greater: n or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7160890 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1038302\nAnswer: 103830.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*q + 3, 0 = -5*d + q + 2*q + 17. Let x(v) = 4*v + 7. Let g(o) = -4 + 10 - 2*o + 5*o. Determine d*x(c) - 5*g(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*n**3 - 59 + 59)*(-n**2 + n**2 + n**2).\nAnswer: -106*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let r = 1246 - 1213. Suppose -38*q + 355 = r*q. Solve -i - 2 = q*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58371 divided by 879.\nAnswer: -19457\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(132\/156) - -18. Let n(j) = -j**2 + 4*j - 10. Let b(l) = l + 1. Let o(w) = -3*b(w) - n(w). Determine o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7828? (a) -20 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 881\/1357 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/(-208)*-4)\/(-1*60)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5354327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0.02. Let m = h - -4. Let a be (-1246)\/98 + 13 + 8\/21. Sort a, 0.1, m, 6 in descending order.\nAnswer: 6, m, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48.054 - 48. Let n = -116092 - -116091.945937. Let l = n + t. Round l to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190 - 93. Let o(n) = 2*n**3 - 17*n**2 + 7*n + 22. Calculate the remainder when g is divided by o(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 * 0.51\nAnswer: 55.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3627b4 + -12?\nAnswer: 3627a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*l + 10*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*a + 4*a. Let g(f) = 122*f - 7. Let b be g(1). Let x = b + -105. Calculate the least common multiple of x and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 1 n when three letters picked without replacement from bkbuoln.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*m + 98. Suppose -46 = -3*k + m. Calculate the remainder when k is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 533, 2, 138, 1, -12 in ascending order.\nAnswer: -12, 1, 2, 138, 533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10222412, -20444822, -30667232, -40889642, -51112052, -61334462?\n\"Answer: -10222410*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163581 is divided by 163576.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 - 5*c**3\/6 - c**2 + 2*c. Suppose -4 = 2*l + 4*r, 0 = 3*l + 2*l - 3*r - 29. Give o(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147003 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*d = -6*d + 48, 4*w - 5*d - 213 = 0. Let s be (4\/(-10))\/(w\/(-20)). What is the fourth biggest value in -3, s, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 303. Let s = m + -72. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 21677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7)\/j*j)\/j)**24*(j**(-4)*j)\/j**(-4\/3) assuming j is positive.\nAnswer: j**(-683\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -65240 and -65240 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 9:35 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 5, 86, -44 in decreasing order.\nAnswer: 86, 7, 5, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 + 86*p - 59. Calculate b(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1491*k + 13. Is t(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.00400538 + 1.004. What is q rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*w, -3*a + 3*w + 38 - 8 = 0. Let h be (-10)\/((-3)\/(-3)*(0 + -2)). Suppose h*f - 14 = 11. What is the smallest common multiple of a and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 - -3.142. Let h = -6.358 - x. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 5, i: 5}. Give prob of sequence gigg.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 9, -5, 3 in increasing order.\nAnswer: -5, 3, 9, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-375)\/30 - (33\/(-6) + 7). Which is smaller: -285 or v?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 55786304.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10020200211 (base 3) to base 14\nAnswer: 19427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15580703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfte when four letters picked without replacement from epfpteyeefeetpyt.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657159 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, -354, -327, -300, -273, -246?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/6 + 10*g**2 + g. Let v be 0 + 0 + (0 - 0). Calculate the remainder when t(v) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (2 - -2 - 1). Suppose -b*r + q - 63199997 = 0, 3*q - q = -4*r - 126400006. Round r to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -510171.\nAnswer: 2\/510171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 615, 587, 539, 471?\n\"Answer: -10*i**2 + 2*i + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 2032302?\nAnswer: -2033013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 2)*(43*f - 8*f**4 - 43*f) + (6*f**2 - 2*f**2 - 2*f**2)*(-1 + 1 + f**2).\nAnswer: -22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*j**3 - 47*j**3 + 124*j**3 + 49*j**3 - 31*j**3.\nAnswer: 181*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 + 4*w**3 + 4*w**3)*(6*w**2 - 20*w**2 + 3*w**2).\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3492*i**4 + 6345*i**2 - 41*i - 660696 wrt i.\nAnswer: 41904*i**2 + 12690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86937935 is divided by 5254?\nAnswer: 5251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 36. Let o = 12 - w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/2884 and -55\/672.\nAnswer: 69216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.81.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 426 - 423. Let u(g) be the first derivative of 0*g - 7\/12*g**4 + 0*g**2 - 4\/15*g**5 + 12 - 1\/3*g**j. Solve u(o) = 0.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/40*45\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 373083773 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 2*c - 5*c + 9 + 3*c. Let x be p(6). What is the units digit of 4 - (-2)\/(6\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8299 or 9430?\nAnswer: 8299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/20 and 107\/6156?\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-45*((-2)\/(-50))\/((-7993)\/(-79930))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.5. Let f be (-8 + 2)*(-1)\/2. Which is the smallest value? (a) -5 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 29\/9. Suppose -2*z = -1 - m. Let b(j) = -4 - 4*j**z - 6 + 4 + j**3 + 3*j. What is b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 70 - 286 = 0. Suppose -4*m + c = -m. What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h + 250264 - 254382 = 0 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 3:03 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:00 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027835849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 47 = -3*z + 71, 0 = -5*z + 4*f + 204. Suppose -4*r + 10 = -30. Suppose 5*c - z = r. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130993397 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-3)*(-90)\/840?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 0 + sqrt(5) + -3*sqrt(5))**2 + 1 + -2.\nAnswer: -20*sqrt(5) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, y: 2, t: 1, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15.4, 35, 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956938250.\nAnswer: 2, 3, 5, 19, 191, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138156572 <= 138156573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8586, -845\/3 in increasing order.\nAnswer: -845\/3, -3, 8586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - s + 5. Let d be x(-3). Let u be (d\/15)\/((-2)\/6). Factor -u*p**3 + 3*p**2 + 72*p - 76*p - 5*p**2 - 4*p**2.\nAnswer: -2*p*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -5*z - 42, 2*s - z = 26. Suppose s*m = -3*m - 28. Is (-7*(m - -3)\/(-1))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**5\/120 - 7*f**4\/24 - 7*f**3\/6 + 9*f. Let v(o) be the second derivative of t(o). What is the derivative of v(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -187, -220, -255, -292, -331, -372, -415?\n\"Answer: -x**2 - 30*x - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - 2*u. Let x(z) = -9*z**2 - 4*z. Let n be (3\/4)\/(-5 + (-42)\/(-8)). What is n*x(w) - 7*y(w)?\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -646 + 692. What is the remainder when 226 is divided by y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -27. Let b(u) = 32*u**2 - 8*u**2 + 2*u**2 - f*u**2. Let t(s) = 3*s**2. Determine t(b(v)).\nAnswer: 1452*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3226 or 41956\/13?\nAnswer: 41956\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -11*d**6\/15 - 3*d**5\/20 - 955*d**4\/12 - d**2\/2 - 1030*d. What is the third derivative of m(p) wrt p?\nAnswer: -528*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*l = 220*l - 204. Let n(y) = y**3 + 32*y**2 - 68*y + 8. Give n(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -13. Let p = c - -23. Let l = p + 15. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 129 = 4*a. Is a > -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/(-12) + 4\/(-24). Let s(x) = -2*x - 11. Let u be s(v). What are the prime factors of ((-12)\/24)\/(u\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*l - 1410 + 5\/6*l**2 = 0. What is l?\nAnswer: -6, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13101732 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1) - 13\/1. Let y = -418 - -402. Let a = p - y. Calculate the highest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(4))\/sqrt(3) + (sqrt(360) - -3*sqrt(360)))\/(sqrt(35)\/(3*sqrt(7)) - (sqrt(45)*1)\/sqrt(9)) + -4.\nAnswer: -75*sqrt(2)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1174 - 1064*v - 1174)*(-11 - 6 - 3 - 1 - 8).\nAnswer: 30856*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378968, 378974, 378984, 378998, 379016, 379038, 379064?\nAnswer: 379094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Suppose 2*g + n*m + 26 = 0, -3 = m + 1. Is 1 + 252 + (g - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7827 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5 + x**4 + 2*x**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 71*o - 709. Give c(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 9484 - 2484 = 0. Calculate the smallest common multiple of k and 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*r = 30, -z + 5*r = -3*z - 20. Let n be z*(2 - (-39)\/(-6)). Suppose -160 = -4*h + 5*c, 5*h = 3*h - c + 94. Are n and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -3, -10, -29, -60, -103, -158?\n\"Answer: -6*n**2 + 23*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3312 + -9916\/3. Suppose 5\/3*c**5 + 5\/3*c**3 + 20\/3*c**4 - 50\/3*c**2 - v*c + 40\/3 = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 24*c**2 + 4521*c - 21425. Calculate q(-193).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:15 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-72)\/45 - 0)*(-65 - 0). Let m(c) = 26*c**2 + c + 1. Let j be m(-1). What is the greatest common factor of j and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1986765ml?\nAnswer: 0.0001986765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6676 - -1?\nAnswer: 6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = -0*t - 2*t, 0 = 5*t + 25. Suppose 4*y + 2*n = 4*n + 92, 2*n + 4 = j. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3551*i - 7072*i + 3535*i - 6. Let x(g) = -5*g + 2. Determine -17*x(m) - 6*y(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/5 - 12*j**3\/5 - 2*j**2\/5 + 12*j\/5 = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43243240 (base 5) in base 6?\nAnswer: -11522202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.057817 - -190282265.\nAnswer: 190282265.057817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1867*d**4*k - 799*k wrt d?\nAnswer: -7468*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 1, -1, 0.002, -2\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x - 1\/2*x**2 - 25\/2.\nAnswer: -(x - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143202040 (base 5) to base 14.\nAnswer: -5076a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 4 (c) 2\/23 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161820208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -266\/3, -1\/4, -3 in increasing order.\nAnswer: -266\/3, -3, -1\/4, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28666, 57574, 86480, 115384, 144286, 173186?\nAnswer: 202084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 - 0.27. Let u = 0.8 - 0.3. Let v(s) = 26*s + 76. Let t be v(-3). Which is the nearest to z? (a) u (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015471848 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 67 + 50*x**2 + 19*x**2 + 49 - 4*x**3 + 204*x + 27*x**2.\nAnswer: -4*(x - 26)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 3*n - 8*n - 10 - 1, -3*n - 19 = -10*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let l(k) = k**2 - 9*k + 13. Let g be l(7). Let b(r) = -1 + 0*r**2 + 2 + 2*r + r**2. What is g*b(v) - 2*y(v)?\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137491678 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: Let a be 12\/18 - 40\/(-3). Suppose -4*u + 46 = a. Calculate the remainder when 22 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 6. Let k(s) = s. Suppose -1 - 2 = 3*a. Let j(g) = a*c(g) - 5*k(g). Let x(b) = 9*b + 7. Give -7*j(m) - 6*x(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 231169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -72713 divided by -3077?\nAnswer: 72713\/3077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 - 4*k + 85 - 39)*(3*k**3 - k**3 - k**3) as l*k**4 + w*k + z + h*k**2 + q*k**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j**2 + 29*j + 120. Let q be b(-21). Suppose -8*z + 624 + q = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hepeheeepzzrhhzpppz. Give prob of picking 1 p and 3 e.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47b280 (base 12) in base 6?\nAnswer: 40505440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**4\/4 + x**3 - x**2\/2 + 13*x + 92. Let s be t(4). Sort -1, 5, s in decreasing order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110.8 - 110.76. Suppose 0*f = -3*f + 18. Sort d, 4, f, -2\/7 in increasing order.\nAnswer: -2\/7, d, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 10 + 10 + (6 - 79 - 15)*(1 + 1 + 1) + 6 + 1 - 5)*(0*w - 7*w + w) as a + f*w and give f.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-7))\/((-1)\/5). Suppose 4*f - 218 = -l*x - 30, -x - f = -38. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77297, -154938, -232579, -310220?\nAnswer: -387861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9785 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175\/23 - 5197\/414. Calculate the common denominator of p and 139\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11033 * -27.972.\nAnswer: -308615.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168 times -3?\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307734 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 7:08 AM?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 + 631368*x + 631365 = 0. Calculate x.\nAnswer: -210455, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (352 + -361).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1624 + 3783. Is (-162)\/243 + o\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*o**3 - 519*o - 337*o - 46*o**3 + 0*o**3 - 4*o**3 + 3*o**3 + (-7 + 1 + 4)*(3*o**3 + o**3 - 5*o**3) in the form i + b*o + x*o**3 + g*o**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g - 50 = -4*d, 0 = 2*d - 5*g - 21. Suppose -d*c + 197 = -89. Suppose 24 = -4*u + 104. What is the smallest common multiple of u and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-3)\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -323.\nAnswer: -42\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2.6488\nAnswer: -1.6488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 11*s - 0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + (-8 - -2 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 371951 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, j: 8, z: 9, k: 1}. Give prob of sequence kzaz.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18858*m**5 - 406*m**3 + 2*m - 5710731 wrt m.\nAnswer: -377160*m**3 - 2436*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -80*j**3 - j**2 - j + 1. What is the tens digit of a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3674*y**2 - 2724 wrt y?\nAnswer: 7348*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 437 and 78223?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -176*z + 188*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 151. Let k(s) = -4*s**2. Calculate k(p(h)).\nAnswer: -16*h**2 - 2416*h - 91204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 6*g**2 + 8*g + 3. Let j be b(7). Find a such that 0*a - 3*a**2 + j + 8 + 6*a - 9 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2540*y + 2736. Does 25 divide k(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5825 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-231)*2*1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*g + 297 = -234. What is the nearest to g in -2, -3\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -335.33 - -338.33. Which is the biggest value? (a) -4 (b) -9 (c) 11 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 12. Let o be r(9). Suppose 2*v = -10, -3*b + 127*v = 122*v - 31. Suppose b*l - 24 = -o*l. Solve -l - 9 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 276 = 300. Solve 8*r + 2 = -s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 5:58 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27134 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41429 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.157 + 0.157. What is the closest to b in -2, 0.01, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (585\/(-10))\/13*(-458)\/4809.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332233 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1015 + -811. What is the greatest common divisor of k and 1326?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60347 in -0.4, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -0.9, -1, 5, 20, -275?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4 + 168*r**3 + 35678*r**2 + 1315344*r - 1351189 = 0.\nAnswer: -67, 1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/91 (b) 0.06 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + a**3 - a - a + a - 1. Let g(i) = i**3 - 2*i**2 - 2*i - 2. Let s be (452\/6)\/((-12)\/18). Let z = s - -114. Calculate z*g(u) - 2*r(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/850486 and 27\/520247.\nAnswer: 4862228462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21*2*(-18)\/(-21). Let b be (-9)\/s + 41\/4. Let m be (8\/b)\/((-280)\/(-100)). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -559*h**5 - 14*h**2 + 3*h.\nAnswer: -33540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2 less than 54.1?\nAnswer: 63.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15087*o**2 - 64908*o**2 + 280381 - 280381.\nAnswer: -49821*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - -192. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2107*t - 1074*t - 1063*t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s**2 + s**3 + 0*s**2)*(4*s - 3*s + s) + 2*s**4 + 6*s**3 - 6*s**3)*(s - 10*s - 4*s).\nAnswer: -52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 5*z**2 + 3*z + 21. Let p be n(-5). Suppose 0 = -0*c - 2*c - 8. List the prime factors of 2\/c - (-1041)\/p.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*l + 12, 0 = -4*q - 5 - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, h: 5, x: 4, t: 1, s: 1}. Give prob of picking 1 w and 3 h.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = 1. Suppose 4*b + 294 = 314. Suppose 20 = -2*m - b*c, -p = 5*m - c - 5. Solve m = h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*i. Let s = i - 0. Suppose -4*y = -s*y + 1, y - 55 = -4*g. Calculate the greatest common divisor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - f = -2586, -4*k + 2*f + 1382 = -8932. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 76.59438 millimeters?\nAnswer: 76594380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(6\/(-3) + 3). Find the third derivative of 0*n**3 + n**2 - n**3 - 2*n**f wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.224 + -4.22399989. What is k rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 3:06 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*y - 23*g - 26*g + 11*g + 207, -5*y + 27 = 2*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 z when three letters picked without replacement from {x: 1, m: 5, b: 1, z: 4, i: 4, s: 3}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -8428 = -8431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2922*u - 2910*u - 60 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-37)*(-148)\/1480*5\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65751112 (base 8) in base 2?\nAnswer: -110101111101001001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10650 = -3*r + 14*r - 34333. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 4151.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -73, -0.4, 5, -1\/30, -1?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.16904617 to 3 dps.\nAnswer: 236.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233310244 (base 5) to base 15.\nAnswer: 91dd9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.06 + 45.06. Let k be (8\/(-6))\/(1\/(-3)). Which is the closest to r? (a) 2 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -23. What is the least common multiple of 7 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/99))**(-30)\/(y**(-23\/3)\/(y**20*y)) assuming y is positive.\nAnswer: y**(322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 4*t - 3. Suppose 5*r - 223 = -38. Let b = -46 + 85. Let s = b - r. Give c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-140)\/15) + 62\/14. Is (-4935)\/(-63) - z\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 437 = 583. Suppose -5*l = -f - 20. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 308 = 67*c. Solve 21*g + c*g = 135 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 1\/60*r**5 + 4*r**2 + 0*r - 1\/6*r**3 + 0 + 0*r**4. Calculate l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwhjwwvwjvvjwvjjvgaj. Give prob of sequence jhw.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (4 - 5) - -36. Is 37 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 565649015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18c1 - -1?\nAnswer: 18c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18475 + -18474.9. Which is the closest to -1? (a) 0 (b) -10 (c) n (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((10\/20)\/(6\/9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*f - 13*f**2 + 12*f + 6*f in the form t*f + y + b*f**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2186332, 2186318, 2186296, 2186266, 2186228?\nAnswer: 2186182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132423 is divided by 493.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-30)\/(-330)*(-112)\/(-40)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10*8*(-13)\/(-208).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**3\/2 - 3*f**2 + 20*f + 2. Let j be n(-4). Solve v - j = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 4 = 13*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 665.5 - 666. What is the closest to -8 in 1, 8, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 915.9957352 + -916. Let z = -45.9976648 - i. Let a = -46 - z. What is a rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.06384 (b) 0.02 (c) -1\/23 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/12 (b) -30\/19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11870 and 83\/823778.\nAnswer: 4118890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -14*v**2 + 279*v + 335. Determine p(21).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-690)\/9)\/5*(4410\/(-420))\/(7*-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195683691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 - 78 - ((-10 - -8) + -11 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*y = 836*y - 9*p + 42, 3*y - 2 = -2*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/3, 57.89, 0, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -11786775235.\nAnswer: -11786775221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*(92 - -3)\/19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r**2. Let i(z) = -2*z**2. Suppose 70 = -16*t - 19*t. Calculate t*u(l) + 11*i(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-10)\/(-225) + (-44)\/126. What is the second biggest value in t, 2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 4*p**2 + 3*p + 3. Let v be y(3). Suppose v*b - 9 = 2*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 2559.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780141401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((990\/(-40))\/(-33))\/(6\/4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 134*g + 81. Give a(0).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a = 229 - 1819. Let y(j) = 40*j**2 - 3*j. Calculate the remainder when y(-3) is divided by a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 42730000 to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((81\/(-90))\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**2 + 5*y - 175865. Let w = -2 + 4. Let g(j) = -j - 5 + 3 - w. Give 2*b(m) + 3*g(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 213708443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1427568 rounded to 4 decimal places?\nAnswer: 0.1428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h - 10*h + 2*h**2 + (-1029*h + 1140*h - 1 - 1)*(0*h + 2*h - 4*h).\nAnswer: -220*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14178608 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.269266cm in kilometers?\nAnswer: 0.00004269266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -104240 and -2.\nAnswer: -104242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hrdhmjm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 335*m**2*n**3 + 5*m**2*n + 7421*n**3 with respect to m.\nAnswer: 670*m*n**3 + 10*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 2, x: 9}. What is prob of sequence gxx?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**3\/3 - 19*p**2\/2 + 21*p - 51. Let u be v(-9). Calculate the highest common divisor of 40 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61383 and 1258?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46650 and 420.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u - 101. Let m be a(7). Suppose 3*f = 9, -b - 5152 = -m*f - 18225. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(1\/1)\/1. Suppose s*g = -3*g + 10, -5*g = 2*t - 42. Calculate the least common multiple of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*30\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 3680 = 20*r + 2*t, 0 = r + 3*t - 1215. What is the highest common factor of 870 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 6*z**3 - 7 - 7*z**3 - 294*z**2 + 0 + 0*z**3 + 12*z**3 in the form u*z**3 + c + f*z + i*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 134, -73, 3 in decreasing order.\nAnswer: 134, 3, 2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -137, -204, -269, -332, -393?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, e: 12}. What is prob of sequence ees?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 125160\/78970*(-1272)\/(-18)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.8 and -0.039?\nAnswer: -0.4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 332 in 2, 0.6, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 368140627 to the power of 1\/2, to the nearest integer?\nAnswer: 19187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385, 0.3, 3, -17 in descending order.\nAnswer: 385, 3, 0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 30, 11, -1 in ascending order.\nAnswer: -6, -1, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 13, -131, -1, 0 in descending order.\nAnswer: 13, 0, -1, -4, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055 = -122*a + 2050 + 2055 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1182 - -1228. Which is smaller: 233\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllflfyfff. Give prob of sequence yyf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4*2\/(-204)). Let r be 1\/(-2 + 345\/170). What is the highest common divisor of c and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 9978296\nAnswer: 2993488.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.7+-1271\nAnswer: -1266.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1092, 5, -8 in decreasing order.\nAnswer: 5, -8, -1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - 2*n**3 + 4*n**3 + (-2 + 3 + 0)*(-2*n + 2*n + n**3) + 3*n**3 - n**3 - 4*n**3 + 29*n**3 + 0*n - 30*n**3 - 2*n + (0 - n**2 + 0)*(-2*n - 3*n + 3*n).\nAnswer: 2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 422 - 1318. Let j = 1364 + r. Calculate the lowest common multiple of j and 8.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 620 = 2*c. Let i = -142 + c. Suppose 0 = 5*n - 594 + i. Is 32 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 + 13\/2. Let l be (-10 - 0) + (4 - 4). Let o = g + l. Sort o, -5, -3 in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1794867 or 1794866?\nAnswer: 1794866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -20*m + 92. Let i = 180 - m. Let l(z) = -z**2 + 25*z + 10. What is the remainder when i is divided by l(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2446 - 2436. Solve -8*v + 2*n + o = -12*v, 3*v - 2*n = -18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 86646*z**3 + 2*z - 86701*z**3.\nAnswer: -55*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/(-144)*(-3)\/75)\/((-9)\/16).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 20, -5, 1, -1, 0 in decreasing order.\nAnswer: 43, 20, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 12 = -3*i + 2*n, -i = 5*n + 14. Let y be 5*28\/245*7. Suppose -y*q + 197 = i. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 23802821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04657 - -0.94657. What is the closest to -1 in 4, -9, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/540)\/(((-441)\/(-14))\/(-9))*18\/3\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 4. Let o(i) = -7*i - 6. Let a(g) = 3*j(g) - 2*o(g). Let r(u) be the first derivative of 11*u**2\/2 - 1. Give a(r(d)).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3374 is divided by 977.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - 30\/(-8). Suppose x - 3*d = 16, 12 = -x - b*d - 0*d. Solve 4*i + 12 = 0, 3*w - x*i - 18 = -0*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -5*x**4\/9 - 4*x**3 - 6*x**2 - x + 47. Determine d so that b(d) = 0.\nAnswer: -3, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26660.45ug to nanograms.\nAnswer: 26660450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -47.\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*m - 118, 4*m - 2*s - 104 = 4. Let o = 171 - 156. Suppose -q = f - o + 16, 2*f - 7 = -5*q. Solve 4*i - m = -5*b, -b + q*i + 14 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647 = 185*f - 5643 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d = -10*d + 6*d - 513 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9457 - 9456.9997462. Round p to 6 dps.\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5446, -5453, -5462, -5473, -5486, -5501, -5518?\nAnswer: -5537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2 + 3*s**2 - s**2 + 1 - 9*s. Let x be o(7). Suppose -u + 11 = -3*y, 2*u - 3*y - x = -5*y. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-20)*(-15)\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 520, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-6)*2\/(-3)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2399208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 747540698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1785267*j**2 - 2078740*j?\nAnswer: 3570534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722 = -3*p + 731. Let l = -12\/23 - -193\/414. Which is the fourth biggest value? (a) -2\/5 (b) p (c) l (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 0 + -3 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1632\/(-120))\/17*30\/28.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 1 + (1 - 3 + 0)*(1 - 3 + 0))*(-3*b - 4*b + 3*b) + (b - b + b)*(-2 + 1 + 0).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 16*y - 1. Let o(v) = 4*v**2 + 49*v + 3. Let n(h) = -4*o(h) - 14*t(h). Let s be n(14). Solve -3*q = -s*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/2)\/(2\/3). Let r be 2\/p - 39\/(-171). Let w = 4 - 3. Is w > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 30. Suppose 7*u + 136 - g = 0. Is -116\/7 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2915*s. Let j(i) = -2*i**2 + 8*i. Determine n(j(l)).\nAnswer: 5830*l**2 - 23320*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) - ((-4*sqrt(272) - sqrt(272)) + 4).\nAnswer: -4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -0.2, 29, -0.5, -0.4 in decreasing order.\nAnswer: 29, -0.2, -0.4, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71840684*x**2*z + 2795*x*z + 1732*z wrt x.\nAnswer: -143681368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*b + 17 = 0, -p - 3126*b + 14 = -3127*b for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372949 and 1714271.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -c - 2343, -c + 258 = 2*w + 2600. Round c to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54178.\nAnswer: 2, 103, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48210237 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -31*((20 - 15) + 4). Which is greater: -278 or k?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 13547801, 0 in descending order.\nAnswer: 13547801, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 - 11*q**3 + 9 + 5*q**3 - 9.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 564, 1\/4, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - h = -0*h + 63382, -3*i + 2*h + 190146 = 0. Let f = i + -5382. What is f rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4 + 16. Suppose 2 - 12 = -5*n. Suppose -q = n*s - 29, -x*q - 2*s + 177 = q. What is the greatest common factor of q and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -4*p + 52, -5*o - 22 = -p. What is the derivative of 8*s**4 - 3*s - 6*s + 9*s + p wrt s?\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -69 in increasing order.\nAnswer: -69, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ddfvfvffffvdvfcdcfv.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101311?\nAnswer: 7, 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 52. Put l, 1, 4, 2 in increasing order.\nAnswer: l, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 6 (b) -4 (c) -49 (d) 0 (e) 1 (f) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230 + 219.92. Let y = 10 + k. What is y rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161475 is divided by 367?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**2 - 21*q**2 - 9*q**2 + 2*q**2 to w*q**2 + f + j*q and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r + 1. Let a be o(6). Let v = -13 - a. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teeettettetettetete. What is prob of picking 3 e?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -843937 divided by 1499\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v**4 + 183*v**3 - 402*v**2 + 375*v - 126 = 0 for v.\nAnswer: 1, 2, 21\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6*2\/(-8)*(-8364)\/(-12546).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 2. Let d = -15 - -8. Let a be s(d). Put 3, 4, a in decreasing order.\nAnswer: a, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1637.05 - -1637. Let m = -0.072 - -0.01. Let q = m - u. Round q to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 416, 421, 426, 431, 436?\n\"Answer: 5*d + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1717 = 109*i - 1363 + 4115 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than 1193665.901?\nAnswer: 1193665.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -9, -0.37, 0.3, -24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3)*1 + 2.\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 1\/3 (c) 10 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -47 + (1 + -34 - (-38 - -32)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*g**3 + 15*g**2 + 2*g?\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-2\/7))\/p)**(-33\/7)\/(p*p\/(p*p**(2\/7))*p*p**(1\/2)\/p) assuming p is positive.\nAnswer: p**(-449\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 7 = -3*x, 3*x = -4*q - 21 + 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u + 2. Let z be m(2). Suppose -13 = -4*s - 3*j, -2*j = -4*s - 0*j + z. Solve 2*q = g + 7, -s*g + 34 = 5*q - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-270)*(-3060)\/(-72)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4, -h + 4226 + 1533 = 5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 2. Let k(s) be the first derivative of 3*s + 141. Calculate -4*j(n) - 3*k(n).\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 1. Let u(j) = -2*j + 25. Let r be u(11). Let y(x) = x**2 + 2. Let d(q) = r*y(q) - 6*s(q). Let g(o) = 7*o. Determine d(g(i)).\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0600627 to four dps.\nAnswer: 0.0601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5 - 11. Let n be (-255)\/30 + 2\/x. What is the common denominator of 2*((-2)\/n)\/(30\/114) and 71\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*g**2 - c**3*g*n**2 - 4*c**3*n**2 + c**2*n**2 + 367775*g**2*n**2 - g*n - 596*g + 3*n wrt g.\nAnswer: -4*c**3 + 735550*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-6*i + i + 3*i)*(2 + 2 - 3)*(-4*i - 2 + 2).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 9*n**2 - 12*n + 15. Let x be g(10). Let h be 3 + 0 - (-10)\/x. Let i(f) = 11*f + 1. List the prime factors of i(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22142100 - -1?\nAnswer: 22142101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 2*o**2 + 3*o + 1. Let a(c) = -145*c**3 + 26*c**2 + 39*c + 12. Give 2*a(w) - 26*s(w).\nAnswer: -342*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/3 + 15920263*x = 0?\nAnswer: 0, 47760789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/8)\/(b*b\/((b\/(b\/(b\/(b*(b*b**28\/b)\/b))*b))\/b)) assuming b is positive.\nAnswer: b**(-247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1568))*2 + 4)**2 - (-2*(sqrt(32) + -1))**2*-2.\nAnswer: 160*sqrt(2) + 6540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 774216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 9:53 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-18)\/4) - 0. Let h = -43.74 - -43.84. What is the nearest to h in -3\/5, -1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*b*h - 2*a*b*t + 8*a*b - 16*b*h*t + 5*b*h + 2*h wrt a.\nAnswer: 2*b*h - 2*b*t + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-24) + (74 - 74 - (-294)\/16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*h + h - 6*h)*(h**2 - h + h).\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134041 by 57.\nAnswer: -134041\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j. Let n(l) = -9*l. Let r(d) = -7*c(d) - 3*n(d). Let i(t) be the second derivative of 1\/2*t**2 + 0 - 7\/6*t**3 + 5*t. Determine i(f) - 5*r(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 23)*(0 - 2*l + 0).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -633, -642, -651, -660?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:50 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -85.356 - -0.1\nAnswer: -85.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 7)\/(-7 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 159 = -q, -2*n = -6*q + 3*q + 457. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200822751*u + 200822869*u + 13334 = 0 for u.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/43744 and -123\/80.\nAnswer: 218720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217233?\nAnswer: 3, 24137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3 - 6 + 8*x + 1 + 1. Let h(a) = -a + 1. Let g(z) = -5*h(z) - k(z). Find the first derivative of g(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(209))\/(sqrt(176) - sqrt(176)*-2) + 3.\nAnswer: -5*sqrt(19)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Calculate the remainder when 61 is divided by h(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, -2065, -7565, -18021, -35023, -60161?\nAnswer: -95025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/18)\/((-5)\/15). Which is the nearest to -2\/3? (a) 4\/7 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 40 = 11*d - 108. Suppose 13\/2*n**3 - 2\/3*n + 0 + 10\/3*n**d = 0. What is n?\nAnswer: -2\/3, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4414128, 4414124, 4414120, 4414116, 4414112?\n\"Answer: -4*h + 4414132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16896)\/288 - -58)\/((-4)\/(-2)*(-3)\/18). Let r(x) = x + 2. Let h be r(-2). Determine t so that -1\/5*t**3 + h*t - 1\/5*t**q + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*h - 135*h - 8 = 0. Suppose 416 = h*m + 6*m. What is the units digit of 8\/m - (-3075)\/39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9\/368, 81, 1\/11, -0.6?\nAnswer: -9\/368","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -401 + -7 + (-3 - -3). Let i be q\/120 - (-3 + 0). Suppose -z - n = 3*z - 28, -21 = -3*z - 4*n. Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 4 = 0. Find the common denominator of ((-15)\/(-12))\/5 - (-5 + 8) and 0 + l + 103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 441 - -2e?\nAnswer: 46f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 38*a**2 + 125*a + 414. What is k(41)?\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2571, -2922, -2947, -2640, -1995?\n\"Answer: v**3 + 157*v**2 - 829*v - 1900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 30*o + 46. Let u be i(-19). What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, 131, 5, 275 in ascending order.\nAnswer: -20, -3, 5, 131, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.94 * -232.\nAnswer: 218.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045539 rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(4\/(-32)*(180\/(-12))\/(-30))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 5001639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4\/3, -5, -2.25?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7543.212 tonnes in micrograms?\nAnswer: 7543212000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 10. Let m = -25 + 28. Let w be (-11)\/1*(3 - 0)\/m. Determine k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 96 + 39 - 2*s**3 - s**3.\nAnswer: -3*s**3 + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 + 20*m**3 + 10*m**2 - 60*m - 45.\nAnswer: -5*(m - 3)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-15)\/(-5))*(-132)\/5390*-7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 21 = -3*u, 0 = 2*u + 4*f + 70 - 86. Solve -4*k = -3*p + 2, p = -u*k + 88 - 84 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:42 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -735 divided by 468\nAnswer: -245\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*d - 73*d + 187143 = -56*d. Calculate the greatest common factor of d and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3605 - -6084. List the prime factors of b.\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - x - 83 = 0, -d - 5*x + 77 = 0. Suppose 14*z = 12*z + 24. Calculate the remainder when d is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoqwoiih. Give prob of sequence oow.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1955357787 rounded to 4 decimal places?\nAnswer: 0.1955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-4)*(-6)\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:50 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 5. Let c be b(-5). Let t = c - 4. Let h be (1 + -1)\/((-1)\/t). Solve h = 6*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33b + 0?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51445 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1992430 and 294646.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = 39*o - 184. What is the second derivative of -11*c**2 - o*c - c**2 + 19*c wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2073 and 2459960.\nAnswer: 7379880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.653175s in hours?\nAnswer: 0.0126814375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019444 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 280.414 and 0.1?\nAnswer: 28.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2376657 + -8?\nAnswer: -2376666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:28 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*o - 6, -5*p + 74 + 0 = -4*o. Suppose 0 = p*w - 21*w + 270. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**3 + 2829159928*g - 2829159928*g.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1649 + -1649. What is y in 7\/6*y**3 + m - 3\/2*y**2 + 1\/3*y = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.2 - 0.2. Let r = u - 8. What is the nearest to 1 in 1, r, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9*p - 13*p + 10485, -5*p - 13918 = -4*u. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -23. Let s(h) = h**3 + 11*h**2 - 7*h + 4. Let u be s(f). Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.3. Let g = 1.272288 - 1.172288. Let j(s) = -2*s**2 - 2*s + 1. Let o be j(-2). Which is the biggest value? (a) o (b) h (c) 0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33040822 and 584.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-14) + 39\/(-65).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 3, v: 1, d: 1, j: 4}. What is prob of picking 2 v and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 525942558 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + 12 = 0. Let z = u - -14. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s + 50. Determine y(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13221 - -5048. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*v - 444*v - 1584 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 3 - (0 + -2) - ((80 - -25) + -112).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 + 1. Let p(w) = w**3 + 6*w**2 - 9*w - 7. Let s be p(-7). Let b(z) = z - 4*z + s*z - 3*z. What is a(b(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 4, -2\/17, 0, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -48\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o. Let v(z) = -2*z + 52*z - 33*z. Determine v(g(m)).\nAnswer: 102*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**3 - 8. Let u be (-333)\/54 - (-7)\/6. Let a(c) = 9*c**3 - 5. Let g(j) = -7*j + 1. Let q be g(-1). Calculate q*a(f) + u*b(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 331685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 12365*h**2 - 147795*h + 332235.\nAnswer: -5*(h - 2461)*(h - 9)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12*20*(-132)\/10120*6\/144*-3\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*1)\/(22\/44)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 348. Let m be 115 - (1 - 1) - (665 - 658). Let a = m - k. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -446 - -505. Find the third derivative of 16*n**3 + h*n**2 + 5*n**3 + 5*n**6 - 66*n**3 - n**6 - 5*n**6 wrt n.\nAnswer: -120*n**3 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 + -7.8. Let v = 4.9 + z. Let t = v - 1.7. What is the third biggest value in 4, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*q + 55 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703632 and 1233.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 23. Let i = z - 48. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:48 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2186581100 rounded to the nearest 1000000?\nAnswer: -2187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-5*c + 5*c - c)*(-401*c**2 + 1055*c**2 - 2510*c**2).\nAnswer: -3712*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 less than 2638385089775?\nAnswer: 2638385089773.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 722, 1, 2, 13, -14 in decreasing order.\nAnswer: 722, 13, 2, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-15 + 7 - (-8 + 1) - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 - (3 + -4). Let l be (12\/(-2))\/(j\/((-4)\/6)). Solve 4*g = -5*a - 17, l*a - 2*g - 5 = g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*u + z + 21, -5*u = -2*z - 23. Solve -4*o - 2 = -h + u, -3*o - 3*h = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gott when four letters picked without replacement from {r: 14, g: 1, t: 2, q: 1, o: 2}?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 + 3*h. Let o(n) = -2*n**3 + 3*n**2 - 3*n - 1. Determine 3*o(j) + 2*y(j).\nAnswer: -4*j**3 + j**2 - 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2756 = 496*c - 1794 - 12314 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -14. Suppose -m = -q - 117. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4283498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let a = -112 + 120. Let y = a + 4. Put l, y, 3 in descending order.\nAnswer: y, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + 1 + -5 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 1872540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5885?\nAnswer: 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)\/((z\/z**(-37))\/z*z)*(z\/z**(-2\/7)*z)\/z*z\/(z**(-5\/7)\/z))**(-45) assuming z is positive.\nAnswer: z**1566","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/((-70)\/(-21)) - 29. Sort -1, 1, g, -3.\nAnswer: g, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189.\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x**4 + 3*x**2 + 3. Let z(n) = 2 - 10 - 5*n**2 - 5*n**2 + 34*n**4. Let y(m) = 10*h(m) + 3*z(m). What is the first derivative of y(p) wrt p?\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 12*z - 3. Let r(f) = -f**2 + 11*f - 4. Let b(h) = -5*r(h) + 6*t(h). Let k = 17 + -9. What is the lowest common multiple of k and b(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64\/3 + 3568\/9*b**3 + 8768\/9*b - 356\/9*b**4 - 10048\/9*b**2 = 0 for b.\nAnswer: 2\/89, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -331, -330, -327, -322, -315, -306?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggghttgsghgkgkgtgg. Give prob of sequence hks.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1211550 (base 6) to base 9\nAnswer: 106623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 4*f - 10)*(3 - 2 + 3*f + 2) + (-4*f - f - 2*f + (-3 + 0 + 1)*(-3*f + 7*f + f))*(-2 - f + 2) to the form x*f**2 + y + h*f and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 85659+-25082219\nAnswer: -24996560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 27*m**2 - 27*m + 30. Let p be a(26). Is (46*(-2)\/p)\/((-2)\/362) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/3 - 1002888*d**2 + 377167121920*d + 4526053601792\/3 = 0. What is d?\nAnswer: -4, 752168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b\/(b*b**(2\/11))*b)*b)**18*b\/(((b\/(b\/(b**(-1\/18)\/b))*b*b)\/b)\/b)*(b**(17\/4)*b)\/b assuming b is positive.\nAnswer: b**(10921\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140617041 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.02, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531203 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50.2 and 15451?\nAnswer: -775640.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1228*z**2 - 520 - 1231*z**2 - 21*z + 21*z.\nAnswer: -3*z**2 - 520","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 36170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2266? (a) -2 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 12 - -22) + -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:10 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21400 divided by -2675\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 19)\/(-3) + 4. Let m be 32 - ((-3 - r) + -3). Suppose m*g = 31*g + 55. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/156)\/((-426)\/568).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*w + 4*c, 2*w - 5*c - 44 = 5*w. Suppose 2*q - 31 = -4*a + 27, 24 = 3*a - 5*q. Let l = w + a. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5967 and 509337.\nAnswer: 19864143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18c689 (base 13) to base 2\nAnswer: 10011001001001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 + 5*s + 9. Let c be m(-4). Suppose -4*n + n - 8 = y, 0 = -n - c*y - 26. Is 14 a factor of n*82\/4*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = y - 7, -4*z - z - 20 = -3*y. Let x be ((-10)\/(-4))\/(-5)*0. Let v = z + x. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*w + 4654*i - 4661*i, -w = 3*i - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:40 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8809.388 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/13*(-19)\/38?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 4) to base 8.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -0.96. Let v = 0.6 - l. Let h = -0.2 - v. What is the closest to h in 1, 1\/2, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64632 - -18065?\nAnswer: 82697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c, 2*b + c - 19 = -1. Sort b, -1, -3.\nAnswer: -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + 160. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 7:00 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 + 461*l - 1471*l + 360*l - 1094116 - 522*l - 920*l = 0. What is l?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0*b**2 - 4*b + 0*b**5 + 0*b**4 + 0 - 2\/21*b**7 + 0*b**6 + 2\/3*b**3. What is the second derivative of s(x) wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -4, 2, 5 in descending order.\nAnswer: 5, 4, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 21*p**2 + 199*p - 4110. Calculate u(20).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477*x**3 - 138*x**3 - 122*x**3.\nAnswer: -1737*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 243, 1201, 2757, 4875, 7519, 10653, 14241?\n\"Answer: -6*l**3 + 335*l**2 - 5*l - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6*d - 2 - 1 - 12*d**2 + 9*d**2.\nAnswer: -3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + p + 2 + 0 = 0, -5*p - 10 = -2*w. Is w > 1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-21))\/(4\/(-24)*(-16 - -18))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 122875028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/82190 and 67\/554?\nAnswer: 22766630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ununununnuun. Give prob of sequence uunu.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51275 - -85924. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Suppose 2*v + 8 = -2*c + 4, -2*v - 10 = q. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 7*j - 80 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 7:40 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5. Let y(h) = -h + 1 + 0 - 2. Let o(t) = 2*t**2 - 2*t - 1. Let n(f) = m*y(f) - o(f). What is the second derivative of n(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*y - 14, 4*y - 2*f = 2*f - 16. What is the units digit of 9\/(-36) - y\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 36. Let u = 37 - b. What is the highest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-9) - 3)*6. Let n = y - -6. Suppose -b = -n*b + 21. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 21. Let n(y) = 53062*y**2 - 5*y - 3. Let c be n(m). What is c rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 3, -2 in increasing order.\nAnswer: -14, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y + 54. Give j(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15959 - -3166. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from zzzszzszszss?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -307, 0.5, 5 in descending order.\nAnswer: 5, 0.5, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.44, 2.1, 5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 71 - (0\/(-2) + -4). Suppose 73 = 3*b + 2*d, 2*b + 9 - i = 3*d. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3 - n**2 + 2*n**2 + 6*n - 2*n**2. Let a be f(5). What is the remainder when 29 is divided by (a - 0)*1 - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/15 and 89\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {a: 1, j: 1, w: 4, s: 11}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20230 greater than -1072238\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 37 + 0*w - 4*w + 3*w. Let t be b(-20). Suppose -t*k - n + 15 = 0, 2*k = -2*n + 4 + 6. Solve k*r = -3 - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d**2 - 4*d)*(-1 + 3 + 0)*(0*d - 2*d + 0*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -27*f + 205. Give o(-3).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 14. Let t be c(4). What is the tens digit of ((-225)\/(-18) + -2)\/(3\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12500 divided by 3649.\nAnswer: 12500\/3649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1440 - 1438. Solve 0 = t*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 9*h - 4. Let m be b(8). Let u be (-3)\/(-9) + (-44)\/m. Suppose 4*o - 16 = -0*o, u*p - o = 16. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4082 times 0.2?\nAnswer: -816.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3)\/(-2)*(-1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -24, -66 = v + 2*d - 112. Is 47 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-845)\/121 - 4548\/275154.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w - 2*w)*(1089*w + 938*w - 1139*w).\nAnswer: 2664*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(8\/42)*(-471)\/(-3297)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgz when three letters picked without replacement from zggzzgzggzgggggg?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:59 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0*l - 9 - 11*l - 44*l**2 + 45*l**2. Let j be d(12). Let z be (-13)\/(-3) + (-1)\/j. Calculate the greatest common divisor of z and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22547032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**5\/s*s*s*s**23*s*s*s)\/(s**(-1\/4)*s)**(18\/13) assuming s is positive.\nAnswer: s**(831\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -c0b2a (base 16) to base 3\nAnswer: -1111002200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -29*n - 2. Let q(a) = -28*a - 1. Let l(i) = -3*q(i) + 2*w(i). Is 22 a factor of l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - 290a0?\nAnswer: -290b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from ububuuubuubbbuuubuu.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143*j*x**6 - 1753*j*x**4 + 4656565*j*x**2 wrt x.\nAnswer: -17160*j*x**3 - 42072*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 27803?\nAnswer: 22242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2973 divide 405206307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**0)**(-1\/16))**41)**(-2\/181))**42 assuming a is positive.\nAnswer: a**(861\/724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 372*z + 3716. Give x(83).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.43. Let r(i) = i**2 - 4*i - 4. Let l be r(4). Which is the biggest value? (a) l (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 83. Suppose 3 + 3 = -r*i. Let k(h) = -69*h - 15. Does 16 divide k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4)*(-1100)\/(-7125)*-19?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let r = v - 1. Suppose r*k + p = -2*p + 225, 16 = 4*p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgffssffffggfssfgss. Give prob of picking 3 f.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-7)\/(-18655)) + (-10)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -103\/4 (b) 2 (c) 35 (d) 9 (e) 3 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.0349.\nAnswer: -4.0349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.98 - 20. Let j = 0.02 + v. Let f = -2.5 - -2. Which is the closest to j? (a) -5 (b) -2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4055 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 (0 - -6) + -12 + 11 + (-15 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p - 90 = -4*q, 4*q = p + 6. Suppose 0 = -3*j + 5*o + 610, -j + o + 0*o = -206. What is the remainder when p is divided by j\/24 + (-2)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 18*y + 209 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 400 = 400. Let j(t) be the first derivative of 0*t**3 + k*t + 0*t**2 + 0*t**4 - 15 + 1\/3*t**6 + 2\/5*t**5. Let j(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) 4\/5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 146690.8 millilitres in litres?\nAnswer: 146.6908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19*l - 1865. Let v(g) = -32*g + 3729. Calculate -3*v(m) - 5*y(m).\nAnswer: m - 1862","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -80924700 rounded to the nearest one hundred thousand?\nAnswer: -80900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116176948 to the power of 1\/3, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1011 - 710. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292 - 20 + 3*l - 4*l.\nAnswer: -l + 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 + 50*v**2 + 21*v + 23. Is n(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/29, -5, -3, 2\/11.\nAnswer: -5, -3, 2\/29, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 184, 197, 224, 271, 344, 449, 592?\n\"Answer: p**3 + p**2 + 3*p + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4959)\/(-11020)*(-5)\/(-3). Factor 9\/8*f**2 + 1\/8*f**3 + c*f - 2.\nAnswer: (f - 1)*(f + 2)*(f + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:19 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 155555.9 to the nearest one thousand.\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*l - 48 = 80, -4*p + 240 = 4*l. Find the common denominator of (-6)\/(-34)*p\/6 and 42\/(-35)*60\/(-32).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306451299 - -306451264.9999881. Let a = -34.761 - -0.761. Let j = o - a. What is j rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.69 - -1.69. Which is the fourth smallest value? (a) 0.2 (b) 4 (c) k (d) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*x + 656 = 0, -113 + 621 = -3*l + x. Let i = 170 + l. Solve -i*f = f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.038, 5, 56690, -0.5, -2, -0.4?\nAnswer: 56690","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148532 - 0.3.\nAnswer: 148531.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*88\/(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2. Let x(p) = 1768631*p. Give x(n(s)).\nAnswer: -1768631*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 2 - 208*f - 49*f - 354*f.\nAnswer: -f**2 - 611*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 + 32373238*x\/5 - 262006634651161\/5.\nAnswer: -(x - 16186619)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**(-14)\/(((a\/(a\/a**0))\/a)\/a)**35 assuming a is positive.\nAnswer: a**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 189*p - 16*p.\nAnswer: -205*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35572280 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 426*w**2 - 19065627*w - 134265 = 0.\nAnswer: -1\/142, 44755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 5*w + 10. Let h be o(0). Solve m = -4*t + 9*t - 13, 2*m - 2*t = -h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*((s*s**(-1\/8)*s)\/s)\/s*s*s)))**(-22) assuming s is positive.\nAnswer: s**(-253\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Let r be 0 - -34 - (-2)\/2. Suppose -5*o - 4*q = 1 - 6, -r = -5*o + 2*q. Solve -o = -5*p + 3*b, -2*p + 11 = l*p - b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 128, -15635, -2 in increasing order.\nAnswer: -15635, -2, 17, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1 - ((-78)\/(-9))\/((-10)\/15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109 or -110?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:56 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (10 + -6 + 3)) + (-23 + 20 - 89)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*i - 129*i + 17578. Suppose -5*q - 3*v + 601 = 148, -477 = -5*q + 3*v. Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*k**4 + k**3 + 73*k - 2700.\nAnswer: -20*k**3 + 3*k**2 + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**2 + 640*r - 20480 = 0.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a tonne in kilograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 + 64*s**2 - 276*s + 216 = 0 for s.\nAnswer: 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1434 + -10075\/7. Let f = -72 + 106. What is the common denominator of -2 - (f\/85 - 123\/20) and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, i: 2, w: 5}. Give prob of picking 2 h and 1 i.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/43 + -535\/86. Suppose -q = 5*j + 228, 2*q + 0*q - 4 = 0. Calculate the common denominator of (-2)\/(-8) - j\/16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6511.686 days in microseconds?\nAnswer: 562609670400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4928*m**2 - 4870*m**2 + 9777*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/6, 1080381, -3, -3\/5 in increasing order.\nAnswer: -3, -3\/5, -1\/6, 5, 1080381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from zazatzzzzztaazzztzzz.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.1, 0.38, -1, 357, -4 in ascending order.\nAnswer: -4, -1, 0.1, 0.38, 12, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1 + 0 - q + 15*q + 0*q. Let p(x) = -13*x + 1. Let s(b) = 5*m(b) + 4*p(b). List the prime factors of s(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.309419us to minutes.\nAnswer: 0.00000037182365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Suppose -273*p = -275*p - 42. Put -5, h, p in increasing order.\nAnswer: p, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 6765364.\nAnswer: 60888276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -5265, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92772 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1)\/(-6)*-2). Let k be (d\/2)\/(9\/24). Suppose -k*m = 0, -3*p + 6*m - m + 45 = 0. Solve -3*a + 6*a - p = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 127*f - 127*f.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16094360?\nAnswer: 2, 5, 402359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u + 39*u - 4*y + 15 = 0, 2*u - 3*y - 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33538.\nAnswer: 2, 41, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/17920 and 13\/385.\nAnswer: 197120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*j - 19 = 0, -2*q - j - 2*j - 5 = 0. Solve -5*v = x + 16, -q*v + 8 = -5*v + x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 20 = -1447*a + 1452*a, 0 = 2*v + a + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {o: 9, e: 5, z: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6855 + -0.6855. What is the third smallest value in 28\/39, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 10*p - 4 = 0. Let k = p - 1. Factor 3\/2*m + k + 1\/2*m**2.\nAnswer: (m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 5*z - 55, -3*j - 1732*z + 1735*z = 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, 2, 4, 14, -8 in decreasing order.\nAnswer: 14, 11, 4, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -18\/149?\nAnswer: -18\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1737266*a**2 + 891391 wrt a.\nAnswer: 3474532*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - x + 140 = 11, 4*c + 3*x - 101 = 0. Suppose h = 4*n + 41 - 11, -5*n + 47 = 2*h. What is the highest common divisor of c and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s = 87*s - 804. What is the remainder when s is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -101, -369, -793, -1355, -2037, -2821, -3689, -4623?\n\"Answer: 3*j**3 - 96*j**2 - j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**8\/140 - g**6\/24 + g**4\/8 - 34*g**3\/3 - g**2 + 31. Let i(h) be the third derivative of o(h). Solve i(y) = 0.\nAnswer: -1, -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 4277*b + 18292729\/2.\nAnswer: (b - 4277)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 10. Let z be y(-11). Which is the second smallest value? (a) z (b) -5 (c) -1\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g - 64. Let w be i(10). Let m = -55 + w. What is the fourth smallest value in 2, m, 3, 6\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6093*z**6 + 49*z**4 + 22*z**2 + 443*z + 2.\nAnswer: 731160*z**3 + 1176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200199 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4 + 10. Let d = 1 + 6. Solve -q - d = -b - 0*q, 11 = t*b - q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - o + 142. Is g(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/3 + 6*x**4 - 190*x**3\/3 + 452*x**2\/3 - 137*x + 130\/3.\nAnswer: (x - 5)*(x - 1)**3*(x + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*w - 33 + 54*w + w**2 - 24 with respect to w.\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 37*h + 92. Let g be o(-10). Solve -g = 21*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(17)*-1*4.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185842725007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303 - -298. Let t = 7 + -6. Let j = 6.09 - 0.09. What is the third smallest value in t, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3 + 19)\/(3 + -4). Sort j, 1, -1, 3.\nAnswer: j, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 0*z - 2 = 2*z, -1 = -4*y - 5*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 - 14*g**2 + 167*g + 175. What is z(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(1\/12). Let u(x) be the third derivative of -x**5\/60 + 5*x**4\/24 + x**3 + 1616*x**2 + 2. What is u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 13 + 43*u**2 - 18 - u**3 + 3*u**3 - 19*u**2 + 4 to c*u**3 + v*u**2 + q + s*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4151 divide 1122637221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(150)\/sqrt(3) - -1*sqrt(4)\/sqrt(2).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0636025 * 12\nAnswer: -0.76323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**6\/120 - g**5\/6 + g**4\/4 + g**3\/3 + 5*g**2. List the prime factors of q(-11).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4.1. Let y = -0.3 - q. Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 601, -1, -16, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 843507164 to the power of 1\/2, to the nearest integer?\nAnswer: 29043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5834 + 5832. Sort 4.3, 0.3, 2\/3, 5, o in increasing order.\nAnswer: o, 0.3, 2\/3, 4.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1400 and 10?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g = -4*a - 37*g + 3, 5*a + 3*g + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 7*x**2 + x - 6. Let j be s(-7). Let o(g) = g**3 + 12*g**2 - 15*g + 4. Is 10 a factor of o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 2. Suppose 2*g + 2*g = b - 14, 0 = -3*g - 3*b - 18. Let z be 1 + (-2)\/(g\/2). Solve -c*f + z = 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -3, -4.4, 3\/5?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from tlvtlv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000762226 rounded to 5 dps?\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 8106654.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -20*z**3 + 2*z + 3. Calculate the remainder when b(-1) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1\/6, -280061?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 1. Give b(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15732?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61.035 + 0.035. Let c = 61.0471 + a. Let s = c - 0.051. What is s rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3172 and 1464?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (2 + -4)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 208176, 416344, 624512, 832680, 1040848, 1249016?\n\"Answer: 208168*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 5, -0.06, 0.1, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/6 - 99*q - 2. Let k(n) = 150*n. What is s(k(a))?\nAnswer: -45000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 4620*b + 9256.\nAnswer: -4*(b - 2)*(b + 1157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 2*q + 50 = 0, 2*o = 110*q - 109*q - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - -3?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 109338*y**2 - 54663*y**2 - 54744*y**2.\nAnswer: -69*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 9*h**2 - 8*h + 5. Let f be c(-8). Suppose 0 = 2*n - 0 - 22. Suppose -2*k + 4*p + 10 = 0, 5*p + n = 3*k + k. Put k, f, 0 in ascending order.\nAnswer: k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -485*v + 80527. Determine y(166).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + n - 3. Suppose -5*m + 3 = n*r, 0*r - r + 5 = 3*m. Find the third derivative of -p**3 + 3*p**2 + 0*p**2 - 2*p**m wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1377)*-4)**2.\nAnswer: 176256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/(h*h\/h**(2\/7))*(h\/(h\/((h**5*h)\/h)))\/((h**(-1\/2)\/h)\/h))**(-9\/2))**(-5\/6) assuming h is positive.\nAnswer: h**(795\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1193 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 4383.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/6 - 2204*n**2\/3 + 480952*n\/3 + 2594462080.\nAnswer: -(n - 1680)*(n + 3044)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 7) to base 11.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -1 (b) -16 (c) 12.1 (d) -5 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 8 + 11)*((-2 + 3 + 0)*(11*w + 6*w + 3*w) - w - 2*w + w).\nAnswer: 630*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 5659572422?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3 - 12*y**3 + 2 + 43*y**3 - 24*y**3. Give w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80456149 a multiple of 2785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 486053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 25 = -14*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 2*v**2 + 2*v**2 + v**2 + (-3*v + 4*v - 2*v)*(7 + 8 - 2)*(1 - 6 + 51*v - 46*v) to the form c*v**2 + u + s*v and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 4, z: 2}. Give prob of picking 1 z and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-15 - (-18 - 1) - -14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1\/4)*p*p)\/p**(1\/17))\/(p**(2\/7))**(2\/61))**(-8\/9) assuming p is positive.\nAnswer: p**(-184774\/65331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 4. Let r = -2 - u. Suppose 3*g - g - 10 = r. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.48, -2\/11, -34, 0.3 in increasing order.\nAnswer: -34, -0.48, -2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12483 and 1794924?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2629 + 2716. What is the greatest common divisor of 464 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) 2\/7 (b) 5 (c) 2\/11 (d) 308 (e) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466117951?\nAnswer: 25657, 57143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/2 + 572\/39 and -41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3592765041?\nAnswer: 3, 28393, 42179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6813015 to four decimal places.\nAnswer: 0.6813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01431919664 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - k. Let f be u(1). Let n = -2.85 - 0.15. What is the smallest value in n, -2, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4727332 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 35 = 5*k, -15 = -5*k - 2*m - 3*m. Suppose -4*p = -3 - k. Suppose 439 = 4*t + t - y, t + p*y - 90 = 0. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -x - 2*f, -3*f = 3*x + 6. Let z(c) = 6*c + 42. Let u be z(-7). Solve x = l - u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 883 - 217 = 0. Suppose 4*p - r = 12. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 53. Let w = 364 - 407.17. Let k = w - a. Round k to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/482 - -3135\/964. Let j = -1855\/15522 + -41\/1194. Put j, 3, n in descending order.\nAnswer: n, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 - 5 = -v, -5*f + 5*v = -30. Let b = f - 1. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 - l - 2. Let j(s) = 33*s**2 + 12*s + 25. Let n(x) = j(x) + 4*k(x). Calculate n(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133203333 (base 4) to base 10.\nAnswer: 129279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 4)*((-20)\/8 - -2). What is the closest to 3 in 4, -2\/7, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-2*sqrt(90)) + sqrt(121)\/sqrt(44) + 0.\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -10. Let v = 0.91 + -5.99. Let o = v + 0.08. Which is the third biggest value? (a) r (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7842\/7 + 1120. What is the fifth biggest value in -4, 2\/7, -0.3, 2.4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 1. Let a(k) = -3*k + 5. Let y(o) = -a(o) - 4*m(o). Let d(c) = -3 - 2 + c**2 - c + 3. Let z be d(0). Calculate y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 31*c**2 - 70*c - 5. Let d(z) = -17*z**2 + 36*z + 3. Calculate -11*d(r) - 6*v(r).\nAnswer: r**2 + 24*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -591 less than or equal to -280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 933052830 a multiple of 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 315?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - (-284979)\/90. Let p = -3171 + i. Calculate the common denominator of -95\/8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 divided by 289.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -15. Which is smaller: 2\/67 or a?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 1 - 105*u**3 + 56*u**3 + 50*u**3 + 2*u to the form l + d*u**3 + h*u + t*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/8, 8, -0.6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = i - a, 5*a - 21 + 6 = 0. Let g = i - -327. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33.18468ms?\nAnswer: 0.000553078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-1\/14)*(s\/s**2*s*s*s)\/s*s\/(s\/s**(-2)))**(4\/33) assuming s is positive.\nAnswer: s**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeneeifiniiiessrnfse. What is prob of picking 1 s and 1 e?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.82 - -0.18. Which is the second biggest value? (a) -3 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4 = 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*s + 225 = 3*s, 4*s = -d + 24. Let h be 11\/11*4\/(40\/438). Let z = d - h. What is the third smallest value in z, 2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 11784.\nAnswer: -58920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + x + x = -134, 0 = 5*x. Suppose 7*s - 5 = 2*s. Let c = y - s. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 + 130*w**4 - 2221*w**3 - 426466*w**2 - 11173932*w - 88365816 = 0?\nAnswer: -126, -23, -22, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 24. Let j be d(-6). Does 37 divide 1545\/j + (-30)\/4 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36741, -37006, -37341, -37752, -38245?\nAnswer: -38826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5 + 21 - 22 - 26 + d - 31. Determine l(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 686 and -1.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x + 1. Let a(h) = h. Let w(j) = 5*a(j) + f(j). Suppose -2*i + 260 = 4*l, 4*l + 2*i - 260 = -2*i. Suppose l*n + 12 = 67*n. Give w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (41 + -41)*1\/(-2). Let k(g) be the first derivative of -3\/2*g**4 + 0*g + g**2 + w*g**3 - 10. What is the second derivative of k(d) wrt d?\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-120)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 + 2*a + 0*a**2 - 1\/6*a**3. Let r be i(-1). Solve s + r = -0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916, 918, 930, 958, 1008, 1086, 1198?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3194, -6381, -9566, -12749, -15930, -19109?\n\"Answer: f**2 - 3190*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 228\/6619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152))\/(sqrt(128)\/sqrt(4)) + -5 + (sqrt(1216) + sqrt(1216)*3)**2 + -2.\nAnswer: -sqrt(19) + 19449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from oxneeonttxttxxy.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 6) to base 14\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**5*t - 21*h**4*t**2 + 2*h*t**2 + 7*t**2 - 18*t wrt h?\nAnswer: 180*h**3*t - 252*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -127*-32\nAnswer: 4064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 438444.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81620007*k**6 + 2304621*k**2 + 9*k?\nAnswer: -9794400840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79\/246 - -1\/82. Suppose 0 - 2\/3*p - r*p**2 = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 13*h**2 - 36*h + 88. What is s(12)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/1 + (-20)\/4. Suppose t = -v + 643 + 68. What are the prime factors of v?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.05 + 2.0500068. Round c to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - w - 96 - 48 = -3*c, 0 = w + 31 - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-7)\/(-4))*-10. Let x = -9028.6 + 9027.6. Put b, -8, x in descending order.\nAnswer: x, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 4. Let i be m(5). Suppose -i*z = 15*z. Are -4 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -49*b + 57*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -18. What is the lowest common multiple of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 44. Sort -1, 4, g.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12341300 + 402?\nAnswer: 12342202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/21 - p**6\/3 + 3*p**5\/5 + 2*p**4\/3 - 8*p**3\/3 + p. Determine n, given that f(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 209443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t + 3. Let k be -4 + -3 + (4 - -3). Let u be c(k). Let z = 46 - 20. Solve 0 = 3*v - 5*y + z, -u*y = -5*v + 10 - 32 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {j: 3, x: 6, p: 1, n: 1, y: 5, b: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/5))**(-18\/11))**(-5) assuming q is positive.\nAnswer: q**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y, 5*y = 2*a - 15 + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/17 + 192874*h\/17 = 0. What is h?\nAnswer: -96437, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82*l**2*n - l**2*u - 2061877*l*n*u - 2*l - 667*n wrt u?\nAnswer: -l**2 - 2061877*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14953*g**2 + 771*g - 72. Let u(t) = 9968*t**2 + 514*t - 45. Let c(r) = -5*j(r) + 8*u(r). Find the second derivative of c(s) wrt s.\nAnswer: 9958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508590 and 69?\nAnswer: 11697570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60780271 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 184880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 39*r - 431. Let d be c(0). Let i be ((-340)\/6)\/(2\/30). Let t = d - i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.659202 to two dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbb. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m. Let b(n) = 1433*n**2. What is b(k(t))?\nAnswer: 12897*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 - 16*t**4 - 40*t**3 + 30*t**2 + 37*t - 14 = 0. What is t?\nAnswer: -2, -1, 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 66 in ascending order.\nAnswer: -3, -2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 10491405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + 19056856\/(-65))*-2 - 2\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 2)\/(0 + 0 + -1). Solve 3*q - q = -5*v + 2, q - 1 = p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 990 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.100519 rounded to 3 decimal places?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 0\/2 - 25. Let w = c + 14. Let b be -1*(w - -4 - -3). Solve b = -5*a + 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590693.\nAnswer: 89, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = 3*d - 18*l - 16, -d + 2 = 2*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858904881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 - -1 - (-2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 18617\/2*(-16 + 32 + -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -11 in decreasing order.\nAnswer: -5, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/98)\/((45\/42)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5208, -8\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*h + 1983 - 5883 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Suppose -2*c + 6*c = p. Let v = 46 + -139\/3. What is the third smallest value in -2, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {n: 4, o: 1, a: 4, s: 7, p: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/13 - 20711940*a\/13 + 53623057320450\/13.\nAnswer: 2*(a - 5177985)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21942, 21948, 21952, 21954, 21954?\nAnswer: 21952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*z = -0*z + 14, 0 = 5*z - 10. Let w be ((-330)\/3)\/s*14\/5. Calculate the highest common factor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021220 - 101?\nAnswer: 2021113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 30, 46 in decreasing order.\nAnswer: 46, 30, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i. Let d(p) = 151842*p**2 + 1. What is z(d(x))?\nAnswer: -455526*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*j, 2*h + 5*j = 5*h - 38. Let g = -574 - -575. What is the remainder when g*3\/(-15)*-295 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 1\/12, -3\/4, 33, -5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 191 = -4*f, 4*f + 2*l = 192 - 2. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15442 = 547*z - 545*z + 4*l, 3*z + 4*l = 23167. What are the prime factors of z?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84*11\/(-4)*(16950\/(-550) + 31)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 6*t - 7. Let b(x) = -x**2 - 9*x + 11. Let r be 26 - -18*(-49)\/42. Determine r*b(d) + 8*p(d).\nAnswer: 3*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 4. Let n be h(0). Solve 14 = -2*b + n*j, 3*j - 2*j - 17 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -5768.02?\nAnswer: 5760.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -101*p**2 + 7*p + 12. Let x be v(-3). Let l = x + 3389. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 976 - 972. Solve -67*b + 66*b + o = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 15, -5, 33, -2 in descending order.\nAnswer: 33, 15, -2, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7122)\/24 - (2\/8 - -1). Let s = n + 293. Let j = -8 - -7.7. What is the third biggest value in 1, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2131 + -1511?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-26 + 12 - (-23 + 3)) + (-1 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -12\/17, 0 in descending order.\nAnswer: 6, 0, -12\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 29*b**2 + 9*b**2 + 15*b**2 + 10*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12480 + j**2 + 12480.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21 - (-1170)\/126\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**7\/105 + c**3\/2 - 3*c**2\/2 - 4. Let v(k) be the second derivative of u(k). What is the first derivative of v(y) wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 9:37 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 28 = 0. Suppose l - 17 - k = 0. Let f = -4 + l. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 + h**3 - 3*h**3)*(-h**2 + 118 - h**2 - 1).\nAnswer: -8*h**5 + 468*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2, -2, 3\/472?\nAnswer: 3\/472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0*s**2 + 14 - s - s**2 - 5. Let h = -127 - -127. What is a(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 x when three letters picked without replacement from kuiuuuxxxukkikk?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 30 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783323\/2 - 2313*l + 3\/2*l**2 = 0.\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627 = -280*i - 816 + 5363 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-5)\/((-25)\/(-10)). Suppose 0 = -5*s + j*s + 12. Solve -u + s = -0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10 - 1)*(7 + (7 - 12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 8 = -2*x, -84*s - 7 = -87*s + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19816, -19818, -19824, -19834?\nAnswer: -19848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**3)\/t)\/t**6*t**(3\/8)*t*t**(-1\/7) assuming t is positive.\nAnswer: t**(-99\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/480 - w**5\/40 - w**4\/6 + 754*w**2. Determine b, given that t(b) = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -116 in -0.584, 2, -2\/5?\nAnswer: -0.584","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/((j**(1\/5)*j)\/j)*j**4*j\/(j*j**(1\/8)) assuming j is positive.\nAnswer: j**(147\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-370*z - 6*z - 50*z)*(-7 - 16 - 12) as s + x*z and give x.\nAnswer: 14910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 2. Suppose 8 = 4*y - 2*u - 2, -y - 3*u = 1. What is the remainder when q(2) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 42865.\nAnswer: -42865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 311*u**3 + 4*u**2 - 13*u + 9. Calculate the remainder when a(1) is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 340*y - 1002 = 0.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878183269446 less than -0.4?\nAnswer: -1878183269446.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-8))\/(6\/(-16)). Suppose -j - g = -3*v, v + j = -0*j + 6. Suppose -3*q - q = 2*k - 4, 27 = v*k - q. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -982 + 2417. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 + (-2 - 0\/(-4)). Which is smaller: 61\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61 (b) 4 (c) -3 (d) -0.077\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5\/9 - 8*m**4\/3 - 40*m**3\/9 + 44*m\/9 + 8\/3 = 0. Calculate m.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2\/3*l**3 + 0*l - 3 + 1\/12*l**6 + 1\/4*l**2 + 3\/4*l**4 + 2\/5*l**5. Find b such that w(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.156 - 0.844. What is the second biggest value in 5, -348, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 p when three letters picked without replacement from hbppboabhkbahok?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*m + m. Let x = 10 - 9. Suppose 29 = -5*j + 3*g, 3*j - 4*g + 16 = 2*j. Which is the second smallest value? (a) x (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1635 - 1496. Suppose -3 = -g + 92. Let x = r - g. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1264 = -11*v + 3*v. List the prime factors of v.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)\/l**(-6))\/(((l\/l**(-8))\/l)\/(l\/l**(-1\/2)*l)) assuming l is positive.\nAnswer: l**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 1 - (-20 + 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:10 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + (3*(sqrt(304) - (sqrt(304) + -1)) - sqrt(304))) + -3)**2.\nAnswer: -864*sqrt(19) + 5593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6484, -13249, -20026, -26821, -33640, -40489?\n\"Answer: -i**3 - 6758*i + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 124 = -117 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.497322 days to hours.\nAnswer: 107.935728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 826?\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 27 = -0*f + 3*l, 4*l + 4 = 4*f. Let w(n) = -n**2 - 3*n - 4. Calculate w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 3*i**2 - i - 1. Let z be r(-3). Solve -3*o - 2*s = -1, 4*o - 5 = -s + z*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 1:04 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 14. Let v(h) = -26*h + 8. Let r(l) = 123*l - 44. Let w(u) = -4*r(u) - 22*v(u). Determine f(w(q)).\nAnswer: 160*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 652.3617mm?\nAnswer: 652361.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-32)\/4))\/((8\/3)\/2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1225)\/490*(868\/98)\/((-10)\/(-28))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -82. Let z(v) = -v**2 - v - 1. Let k(m) = 2*m**2 + m + 1. Let r = -5 - -2. Let s(o) = j*k(o) + r*z(o). Give s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + 2*s**2 + 5*s**2)*(-s**2 - s + s) - 5*s**4 + 6*s**4 + 3*s**4.\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17539 (base 11) to base 13\nAnswer: -b279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7985 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2310 and 1848?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5\/8 + 463*z**4\/4 - 15375*z**3\/8 + 14879*z**2\/4 - 668*z = 0 for z.\nAnswer: 0, 1\/5, 2, 16, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1420 or -1421?\nAnswer: -1420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 4590cd?\nAnswer: 4590ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a - 7. Let b(n) = -13*n + 28. Determine 2*b(h) + 9*m(h).\nAnswer: h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.3 - 326.76. Let g = 315 + x. What is g rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6174 by 18.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a. Let f(j) be the third derivative of -5*j**5\/12 - j**3\/2 - j**2 + 9443. Determine f(d(m)).\nAnswer: -1600*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -26?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 409435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4031 - 6?\nAnswer: 4026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/328 and -69\/820.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27403.65 micrometers?\nAnswer: 27403650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 33*j**3 + 2*j**2 - 3. Let m be q(3). Suppose 4*u + 3*d - m = 5*d, 897 = 4*u + d. Calculate the greatest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/47)*z))\/(z\/(z**9*z)))**(4\/41) assuming z is positive.\nAnswer: z**(1688\/1927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzwwzpvppzvzhpp. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2265 - 0.272. What is u rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (63\/(-14) - -3)\/(3\/(-4)). Suppose 0 = g - 3*i + 10 + 2, 8 = j*g + 2*i. Solve -v - 4*v + 15 = g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**4 + 2 + 27*y**3 + 4*y**2 - y**4 + y - 23*y**3 - y**4 to the form l + f*y + a*y**4 + d*y**3 + t*y**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8740 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k + 15 = 14*o - 62*k, 87*o - 227 = 3*k + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 + 118*u**2 - 7*u + 1. Let m(c) = -3*c**3 - 117*c**2 + 6*c - 1. What is -7*m(l) - 6*x(l)?\nAnswer: 3*l**3 + 111*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7 less than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35156\/16779*18\/22.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87254467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35368)\/(-20) - 6)\/((-10)\/6250). Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9506 and 582?\nAnswer: 28518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 30 = 5*u, -l + 3*l - u = 42. Let z be 89\/(-6) + 1 - 2\/12. Calculate the least common multiple of l and ((-28)\/3)\/(z\/21).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -395 (b) 2\/11 (c) -6\/7 (d) 0.17 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217892920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3517, 3457, 3397?\n\"Answer: -60*n + 3577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c3a93 (base 13) in base 11?\nAnswer: -1278668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -975, 4, 1\/3, 57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -51.05. Let m = -0.85 - -0.9. Let h = w - m. Is h <= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 8. Let j = 10 + s. Solve 2*o = -4*u - j*o + 12, 0 = -5*u + 4*o + 33 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.09967\nAnswer: 0.019934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whvhjhv. What is prob of sequence hhjh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57363?\nAnswer: 3, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35379 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - t**3 - t**3 + t**2 + 3*t - t to the form q*t + p + u*t**3 + m*t**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162*m**3*o**2*x**3 + 2*m**3*o**2*x**2 + 84*m**3*o*x**2 + 3*m*o*x**2 + 4*o*x**3 wrt o.\nAnswer: -324*m**3*x**3 + 4*m**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/81816 and 31\/70128.\nAnswer: 490896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 1 p when three letters picked without replacement from onodp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 11*g + 18*g = 0. Solve c + g = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1107850 and 19?\nAnswer: 21049150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ywywyy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 16. Let i be (-1 - -1 - 1)*v. Suppose -7*p + i*p = -15. Is p less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3656 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b477 - -39?\nAnswer: b4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 8. Let r(n) = -3*n - 7. Let l(x) = 4*r(x) + 3*t(x). Let c(i) = -3*i + 49. Let m be c(18). Determine l(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*c + 2*c + 76, 0 = -3*f + c + 57. Suppose 0*w = -4*w + 148. Suppose -3*p + w = 7. Calculate the remainder when f is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -88, 3, 5 in ascending order.\nAnswer: -88, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -75. Let b = r + 14. Is -2 + b + 2 - -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 482*t - 7*t**3 + 467*t + 2 - 951*t + 108*t**4 to the form l + w*t**2 + c*t**3 + j*t**4 + s*t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -66, -52, -22, 30?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpccccppcccccccccc. What is prob of picking 2 p and 1 c?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-7.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 8*h**2 + 2*h + 39. Let r be k(8). Suppose 0 = -3*y + 2*o - 0*o + 19, y = -o + 3. What is the greatest common divisor of y and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3)*m*m*m*m\/m**(2\/17)*m*m)**(4\/3) assuming m is positive.\nAnswer: m**(88\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 43*t + 29. Let v be g(12). Suppose -v = -3*s + 115. Suppose -10*y + s = -2232. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*o - 117*o - 64*o.\nAnswer: -258*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -116.6.\nAnswer: -116.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6012.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Suppose -4*h - 9 = -2*u - k*h, 3 = 4*u - h. Let q = -4748 - -14242\/3. What is the closest to 0.1 in 1, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.6, 5\/4, -35, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20539)\/92 + (-1)\/(-4). Let i = f + 201. Is i < -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 6 (c) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 617929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*l - 3*l - 8 = 0, 4*l = -h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 17. Let i be v(-4). Suppose i*p - 33 = -48. What is the fourth biggest value in p, -5, -1\/2, -0.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2524791*n - 775 + 775 + 75547*n.\nAnswer: 2600338*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 6. Let g be o(2). Suppose 3*t + 28 = g*i, 0*i = -2*i + 3*t + 20. Let v = 10\/3 - 47\/15. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -7*f + 123. Calculate the highest common factor of f and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*c + 500 = 0, 3*c = -0*c + 6. Let v(x) = 19*x - 22. Let s be v(10). Let o = u - s. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 398*r**2 - r - 282 wrt r?\nAnswer: 796*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3. Let r(l) = -l + 1. Let n be (-3)\/(-2)*(-4)\/3. Let c be n\/(-9) - (-21)\/27. Suppose -16 = 5*m - c, -5*z + 8 = -m. Determine z*f(h) - 3*r(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:12 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 18. Let b = 217 + -211. Suppose -g - 2 = -2*v - b, 0 = 2*g + 2*v - 14. What is the smallest common multiple of z and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -15, -37, -87, -177, -319, -525?\n\"Answer: -2*j**3 + 4*j**2 - 4*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-4\/3)*m)\/m)\/m)\/(m\/m**(-6\/19))*m**(22\/5)*m*m\/(m**(-15)\/m*m*m) assuming m is positive.\nAnswer: m**(5819\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 30 = 5*z, -3*z - 19 = -z - u for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1628744194 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1565*p - 3135*p + 1570*p - 185668*p**2.\nAnswer: -185668*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 17*h**2 + 63*h + 81.\nAnswer: (h - 9)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 10ba8?\nAnswer: 10bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111210 (base 4) to base 9.\nAnswer: -1803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/((-9)\/(-27))*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 10) to base 4.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 14, 13, 12, 11?\n\"Answer: -y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + a = 18, -4*c + 0*c + 3*a = -26. Suppose -5*x - 4*t - 63 = -0*t, 57 = -3*x + 4*t. Let v = 21 + x. Solve -3*r = -c*r - v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/793 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-32)\/8*-11*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401960 is divided by 133986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**3*t*u - 1537301*p**3*t - 11*p**3*u + 9*p**2 - 53*p*u + 7*p - 1 with respect to t.\nAnswer: 5*p**3*u - 1537301*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 7. Give w(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 74, 228, 474, 806, 1218, 1704?\n\"Answer: -d**3 + 52*d**2 + 5*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113 and 156505.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*s**3 + s - s.\nAnswer: -142*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 236032753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba0 + -6629?\nAnswer: -5759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-10)*l)**(-29))**(1\/18) assuming l is positive.\nAnswer: l**(203\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2441 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2 and 20\/30 + 97\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65942884 by 6244.\nAnswer: 10561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*n - 4*n. Let f = 199 - n. Suppose -y + 6*y - 80 = 0. What is the highest common divisor of y and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -2, -5 in descending order.\nAnswer: 7, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3262 is divided by 1049.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -2*(-4)\/(-8). Put 3, p, 5 in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -523241 - 4522?\nAnswer: -527763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/66640 and -57\/136.\nAnswer: 66640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213 and 582870169.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41917 rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305*y**2 + 121*y**2 + y**4 + 183*y**2 - 2*y + 3*y - 3*y**4 - 431*y**3 to the form l*y**4 + n*y**2 + p + o*y + b*y**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a - 160 = 0. Find the third derivative of 29*i**5 - 29*i**5 + i**2 - a*i**3 + 14*i + 52*i + i**6 wrt i.\nAnswer: 120*i**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 34. What is the remainder when 7 is divided by (x\/(-3))\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00094344991 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - 2*q**2)*(-60 + 35 - 110) as g*q + i*q**2 + t and give i.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -4, 1 in decreasing order.\nAnswer: 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -28*l**4 - 10272100*l**3 + 249477576*l**2 - 1549721088*l + 422651520 = 0.\nAnswer: -366885, 2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 67*s - 117*s + 49*s.\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.7 - 13.2. What is the nearest to 0 in -1\/4, d, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -2. Let t(w) = 3*w**2 - 3*w - 4. Let z(c) = c**2 - c - 1. Suppose -j = -11 + 8. Suppose -4*f - j*f + 7 = 0. What is f*t(v) + g*z(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 8 + 13 - 9*p - 12.\nAnswer: -9*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3\/6 + 5*b**2\/2 + 8*b. Let g(s) = 1. Determine 6*g(p) - l(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2654510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) + ((-119)\/6)\/(-17)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5 - 236*x**4 + 8*x**3 + 113096*x**2 - 12*x - 112860 = 0. Calculate x.\nAnswer: -19, -1, 1, 33, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 86?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:28 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-8))\/24*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/15 - (-16)\/5 and -18\/11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -141, 1, -2, -1 in ascending order.\nAnswer: -141, -7, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92.9*1.\nAnswer: 92.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((sqrt(192)\/sqrt(8))\/sqrt(4)) + (sqrt(13) - -1*sqrt(13))*5 + -1.\nAnswer: -1 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*o + 4*o = 16, 5*b = 2*o + 48. Solve 0 = 4*t - b, 2*t = -2*v + 2 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 191 = -5*f - 376, 2*b - 4*f = -1120. Let w = b + 810. Suppose -t + 2*d = -0*t - 62, 4*t - w = 3*d. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 2 + 3 - 2 + r. Let t(i) = -1 + 0 - i**2 + 2*i + 3. Suppose -8 = -4*b - j, -2*b + 16 = 4*j - 2. Determine b*t(w) + 2*m(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 60933548 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (-1 + sqrt(13) + sqrt(208) - (sqrt(13) - (-1*sqrt(117))\/sqrt(9))) - ((-1*sqrt(1872) - (2*sqrt(52) - sqrt(52))\/sqrt(4)) + -2)**2).\nAnswer: -6609 - 147*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cd22 (base 15) to base 7.\nAnswer: 1141613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 + 2477\/13. Let q = x + 37\/52. Let p = 11.6 + -12. Put -3, p, q in descending order.\nAnswer: q, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2031411 is divided by 97.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(-4 + -2 + sqrt(252) + 0 + (1 + sqrt(252))*-3 + sqrt(252)))**2.\nAnswer: 3888*sqrt(7) + 11993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 5. Let l be o(-4). Let b(k) = 34*k + 375. Let h be b(-11). Sort h, -1, l in descending order.\nAnswer: h, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 198357.6 to the nearest 1000.\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 21. Let o be d(-24). Let f = 2060 - 2055. Put f, o, 22 in increasing order.\nAnswer: o, f, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 907\/716 - 3\/179. Let 3\/4 - x*v**2 + 1\/2*v = 0. Calculate v.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19 - -22) + 47\/(-15). Is 3\/2 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 7. Calculate x(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100221 (base 4) to base 10.\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + -7 + 7. Which is the third smallest value? (a) 2\/23 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5 - 2940*o**4 - 717344*o**3 - 57375072*o**2 + 177190848*o - 119095488 = 0.\nAnswer: -246, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(275) - (sqrt(275)*1 + sqrt(275))**2)*-1 - sqrt(275)) + sqrt(275) + 0 + sqrt(275) + -2 + sqrt(275).\nAnswer: 5*sqrt(11) + 1093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-13)*4\/12. Let b = -28\/117 - r. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45868.2767 rounded to the nearest ten?\nAnswer: -45870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 3) to base 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/5 + 1 - 0. Suppose 0 = f*q + 1 - 11. Suppose 2*i - q*j + 6237 = 262, -i - j - 3005 = 0. Round i to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1327088.8 + -3213.\nAnswer: -1330301.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -38. Let z(x) = 5*x**3 + 3*x**2 - 3*x - 3. Let l(r) = 40*r**3 + 25*r**2 - 25*r - 25. What is g*z(a) - 3*l(a)?\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*((-27)\/6 + 3). Find the common denominator of (-212)\/(-42)*(7 + (-31)\/4) and 4\/(-2) - 137\/y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 82. Let p(s) = -2*s - 2. Let w be p(-2). Let g be o\/(w - 7 - -3). Is g at least 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 33 = 3. Let x = v + 11. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(16))\/((sqrt(88)*1)\/sqrt(11)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(-12 - -4). Suppose 2*k - 7 = -o, -4 = 2*k - z*o + 4. Suppose -k*j - 96 = -5*j. What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1398*q**2 + 9784*q - 8. What is g(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 250*i + 28*i**3 - 250*i - 9*i**2.\nAnswer: 28*i**3 - 9*i**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5320 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297.3 - 297. What is the closest to p in -1, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24382, 93978, 209972, 372364, 581154, 836342?\n\"Answer: 23199*c**2 - c + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhmr when four letters picked without replacement from immirhhirimiiiir?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 3\/((-75)\/(-110)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o - 22. Suppose i = -4*l + 4, -3*i = i + 2*l - 2. Suppose -8*p + 9*p + 12 = i. What is the tens digit of w(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*z - 10. Suppose -z*u + 15 = -5. Let 4*m + 48*m**u + 50*m**4 - 9*m**3 + 2*m**3 - 20*m**2 = 0. Calculate m.\nAnswer: -1\/2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.97402g to milligrams.\nAnswer: 2974.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1562542 + 133?\nAnswer: -1562406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u - 2*g + 60 = 295*u - 152*u + 6*g, -55 = 3*u - 4*g for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353*o - 595*o = -75972 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 69*n + 876. Let y be k(16). Solve -17*o = -y*o + 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-10) + (-42)\/(-5). Let g(b) = -b**3 + 8*b**2 + 9*b + 2. What are the prime factors of g(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 67*l**2 - 138*l - 22. Calculate n(69).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23076 + -13402. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 + 11737*m + 19340930 = 0. What is m?\nAnswer: -1465, 13202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120828 - 36149. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-19))\/(i*(i*i**(1\/14))\/i) assuming i is positive.\nAnswer: i**(265\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 3. Let q(c) be the first derivative of -7*c**2\/2 + 4*c - 1. Let w be q(-4). Suppose 4*k = -5*l + 4, -4*k = -2*l - 2*l + w. What is u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3\/4*q**4 + 9\/2*q**3 - 27\/4*q**2 + 3*q = 0 for q.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 19, 32, 47?\n\"Answer: t**2 + 8*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -25 + 44 - 15668\/(-4)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f - 6. Calculate n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 811146948 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 - 374101*k**4\/2 + 748201*k**3\/4.\nAnswer: k**3*(k - 748201)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16893158 a multiple of 562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -88, -96, -86, -52, 12, 112, 254?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -126040.3 to the nearest one thousand.\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 833 + -294. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 - 5*g - 7. Let m(v) = -v**3 + v**2 - 4*v - 7. Let n(h) = 3*i(h) - 4*m(h). Let c(d) = d**2 - 7*d - 8. Let y be c(8). What is n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 12*z + 3. Let t(d) = -4*d - 1. Let h(b) = -2*n(b) - 6*t(b). Let c(s) = 57*s. Calculate h(c(j)).\nAnswer: -12996*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6020446 * 0.4.\nAnswer: 2408178.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37639, 75274, 112909?\n\"Answer: 37635*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 4)\/(6\/(-4)). What is the third smallest value in 2, o, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 12*t**2 + 7*t - 51. Let z be (-66)\/88 - (-69)\/(-4). Is s(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z**2 - z. Let m be (2\/6)\/(4\/(-12)). Let s be n(m). Suppose -j = 3*b - 0*b - s, 5*b + j - 38 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141390 (base 10) to base 4.\nAnswer: 10112222032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/28383840 and 64\/135.\nAnswer: 85151520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j**(-5)\/j)\/j)\/j))\/(j\/(j\/(j\/j**12)))*(j*j\/((j**(-19)\/j)\/j))\/j*j**(3\/16)*j assuming j is positive.\nAnswer: j**(691\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.11 in 196, -200, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103369327.\nAnswer: 103369327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1\/6, -0.1, -20, 637?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/2*750\/(-600). Let l be (-8)\/(-5)*9\/36. Which is the second smallest value? (a) l (b) 14 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let s(n) = 6*n**2 + 10*n + 2. Determine -8*b(u) + s(u).\nAnswer: 6*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -16. Let c = -0.16135 - 0.23865. What is the smallest value in -17\/5, c, -0.5, n?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**5 - 19*n**4 - 51*n**3 + 21*n**2 + 34*n + 9. Let y(a) = -a**5 - 4*a**4 - 10*a**3 + 4*a**2 + 7*a + 2. Let k(d) = 4*c(d) - 22*y(d). Factor k(x).\nAnswer: 2*(x - 1)*(x + 1)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2530925 and 335.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 - 1.8. Let x = k - 3. Let h = -327 + 5557\/17. Sort -0.25, x, -1\/2, h.\nAnswer: x, -1\/2, -0.25, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (3 + 4 - (0 + 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-160)*(-24)\/(-33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - y + y. Let b be 6\/15 - (-17)\/(-5). Let u be (-2 - b)\/2*10. Give x(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*v**2 - 15270*i - 146*v**2 - v wrt v.\nAnswer: 4*i - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - s**3 + s**3 + (4 + 2*s**2 + s**2 - 4*s**2)*(-7*s + 3*s + 2*s) to j*s**3 + l + r*s + h*s**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -574259053 rounded to the nearest one million?\nAnswer: -574000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1322382609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 206, 204, 200, 194, 186, 176, 164?\n\"Answer: -c**2 + c + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 1, a: 1, b: 1, p: 1}. Give prob of sequence amp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 31 = 46 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.1 (b) 0.05 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182417\/14 - -13036. Calculate the common denominator of -49\/22 and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.2453 + 5.2453. Suppose -2*z = -5*z. What is the closest to z in d, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 2:23 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 + 2. Let m be j(-4). Suppose -3 = -m*r - 1. Let o be 3 - (3 - r)\/2. Solve 4*k = -o - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -90*t + 4. Let l(h) = -10621*h + 473. Determine 473*c(o) - 4*l(o).\nAnswer: -86*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(6078\/72936)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/20 - l**4 + 7*l**3\/2 - l**2\/2 + 26*l. Is d(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122991?\nAnswer: 3, 11, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -27*i**2 + 842*i + 2527. What is t(-3)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -494, -498, -504, -512, -522, -534?\n\"Answer: -f**2 - f - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 130.2 and -63328.\nAnswer: -8245305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 446, 1145, 2418, 4457, 7454?\nAnswer: 11601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75795988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1422093*t**4 + 3*t**3 - 376718*t?\nAnswer: 17065116*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*a**4 - 3 - 2 + a**3 to the form i*a**3 + g*a**4 + k + j*a**2 + n*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 8*j + 5. Let q be u(6). Let n = -2 - q. Suppose -n*b = -22 - 13. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 - h**2)*(h + 2 - 2) + (28*h - 103*h**2 - 28*h - 4*h**2 + 2*h**2 + 0*h**2 + (-4 + 2 + 3)*(-3*h**2 - 3*h**2 + 4*h**2))*(-h + 5*h - 3*h).\nAnswer: -106*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760928701 to the power of 1\/3, to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - ((3 - 2) + -15 + 33 - 12).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1088) + (-4 + sqrt(17))**2*1 - (sqrt(4131)*-2)\/(sqrt(9)\/(sqrt(9)\/sqrt(3))).\nAnswer: 29 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 1202?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48699 or 53973?\nAnswer: 48699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -1, 7, -155?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 1. Let o(g) be the first derivative of -g**2\/2 - 20. Let q(t) = -3*b(t) - 4*o(t). Determine q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-2)\/(-2))*(-35)\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let h(t) = -t**2 - 19464*t - 17. Give h(o(i)).\nAnswer: -9*i**2 - 58392*i - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (132\/(-16))\/((-4)\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*m + 181*m - 90*m = 70 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9162.867 tonnes in micrograms?\nAnswer: 9162867000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 3, 0.3 in descending order.\nAnswer: 3, 0.3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21342 divided by -7114.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*v**4 + 7640609*v**3 + 163177*v**2 + 11*v + 1 wrt v.\nAnswer: 576*v + 45843654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 1185*l**2 + 38916*l + 299052.\nAnswer: -3*(l - 426)*(l + 13)*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -10. Let d(a) = -3*a - 3. Calculate the remainder when d(q) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bc1 - 15?\nAnswer: 1baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054673067 plus -16.2?\nAnswer: 2054673050.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(-4 - -6 - 1). What is the closest to t in -2\/9, 2\/7, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 - 166*b**4 + 9345*b**3 - 186948*b**2 + 481140*b = 0. What is b?\nAnswer: 0, 3, 54, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s - 36. Determine t(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12821346, -25642692, -38464038?\n\"Answer: -12821346*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 + 18*u - 1\/6*u**3 + 0*u**4 - 4*u**2 + 1\/60*u**5. Let f(m) be the first derivative of t(m). Factor f(h).\nAnswer: (h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13920 divided by -5?\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1960)\/sqrt(8)*1)**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 540 = 1077. What is the remainder when 103 is divided by w\/9 - 2\/(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*g + 49781 = -8753 for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*z + 55. What is the remainder when ((-2)\/6)\/((-4)\/(-3096)*-6) is divided by z - (0 - 0 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w - 2. Let v be p(4). Suppose 44864*i = 44889*i. Solve i*g + 2 = v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**3 + 4364*n**2 + 32808*n + 19936.\nAnswer: 4*(n + 7)*(n + 356)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 8*g**2 - 6*g + 5. Suppose 5*m = -c + 23, m - 3*m - 3*c = -4. Is 10 a factor of r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, y: 2, g: 2, p: 1, x: 1, r: 1}. What is prob of sequence grxy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -15*g - 60. What is the units digit of r(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*k + 2*k - 3*k)*(4*k**2 - k**2 - 5*k**2) - 2*k + 2*k**3 + 2*k + 1 - 1 + k**3)*(-6*k + k + 4*k).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**2 - 1\/2*x**3 + 3*x - 8 - 1\/60*x**4. Factor d(r).\nAnswer: -r*(r + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2*m**5\/55 - m**4\/22 + 8*m**3\/11 + 28*m**2\/11 + 32*m\/11 + 8. Find y such that b(y) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -328, -332, -342, -358, -380, -408?\n\"Answer: -3*k**2 + 5*k - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6 - 144690879?\nAnswer: -144690871.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1, -6, -0.3, -496?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 - 175*r**3 - 11*r**2.\nAnswer: -175*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 112. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 4, 19, -39\/4?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5023174799?\nAnswer: 19, 53, 349, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 179*y - 15. Let f(v) = 2877*v - 240. Give 2*f(g) - 33*l(g).\nAnswer: -153*g + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707637, -707636, -707635, -707634?\nAnswer: -707633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 65*c**2 + 31*c + 50. Let a be w(-27). Let x = a + 20993. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272*13.677.\nAnswer: -3720.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from pofooofp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 23*h + 101. Suppose -4*y + 52*y + 142 + 50 = 0. Calculate p(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, m: 4, d: 1, i: 3, p: 1}. Give prob of sequence iv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3)*17\/6*-9. Suppose 5*z - 3*z = j. Solve 4*c - 25 = -z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = -0. Let y = -1 - q. What is the remainder when 2 is divided by 0\/(-3) + y - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)\/((-1)\/5). Let t be ((-18)\/d)\/(3\/10). Let u(p) = p**2 + 4*p + 7. Let j be u(-5). Calculate the greatest common divisor of j and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let n(p) = 10*p**2. Give 4*n(b) - 28*v(b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -28. Let v = 9 - i. Let y = v - -23.855. What is y rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 180*d**2 + 169*d - 2. Let z(o) = -539*o**2 - 507*o + 7. Let s(y) = 14*r(y) + 4*z(y). Find the second derivative of s(m) wrt m.\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*a**3 + 524*a**3 - 31*a**3.\nAnswer: 578*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66522, 264299, 593332, 1053621, 1645166, 2367967?\n\"Answer: 65628*z**2 + 893*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 10 + (8 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41416897 is divided by 446.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 - 6*j + 4. Let r(t) = -t - 4. Let y be r(2). Let i be s(y). Let p be 16\/10*10\/i. Solve -4*z = -2*l + 8, -6*z - 8 = -2*l - p*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:20 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2832*-0.0308.\nAnswer: 87.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Let y = 26 + j. Calculate the remainder when y is divided by 4\/2 - (-3 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4494279.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4*b - 16. Let t be n(7). Let o be -55*(-48)\/27 - 5. Let k = -93 + o. What is the smallest value in k, t, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 6*g**2 + 2. Let q be 3 - (-2)\/((-6)\/(-9)). Calculate j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/6 - 4\/(-12). Suppose 0 = -m*f - 49 - 44. Let s = f + 162. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 7*b - 7. Suppose -4*m - 3 = -4*l + 33, -15 = 3*m + l. Calculate t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4998*l. Let f(w) = -980*w**2 + 2. Determine f(i(n)).\nAnswer: -24480403920*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1002 - -984. Which is smaller: -0.08 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 18, 12, 4, -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820812591?\nAnswer: 3, 5521, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1487770 by -7.\nAnswer: 1487770\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/9*-15*(-26)\/(-1144)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5*i - 4. What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -4301?\nAnswer: -4285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 39*s - 50. Calculate r(3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30896281 to the nearest integer?\nAnswer: 5558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-9)*(-2 - (-2)\/(-2)). Suppose 17*h - 150 = t*h. What is the highest common factor of h and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72\/11 in 0.3, -6\/11, -0.9, 5, -3, -0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 4) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077229 to the power of 1\/2, to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/8 + 5330173*l\/8 + 5330171\/4 = 0.\nAnswer: -5330171, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - c**3 - 63 - 27 + 18*c**3 - 4*c**3.\nAnswer: 13*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 g when three letters picked without replacement from {p: 2, g: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/10*(-4585)\/(-14). Let g = -5 + f. Does 10 divide (-2)\/3 - g\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riiiriri. What is prob of picking 4 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f**2 - f**2 + 3*f**2)*(f + 4*f - 3*f) + 4*f - f**3 - 4*f + (-3 - 2*f + 3)*(-6*f**2 - 4*f**2 + 5*f**2))*(-3 + 3 + f)*(5*f - 2*f + 0*f).\nAnswer: 33*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77099 and 84108?\nAnswer: 925188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -23597\/9?\nAnswer: -23597\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/230052737 and 79\/58?\nAnswer: 460105474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let a = -23 - -28. Let w be (-6)\/3 + 64\/30. What is the third biggest value in w, a, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-6) - (-135)\/81. What is the derivative of -15 + 43*g**d + 17 - 22 wrt g?\nAnswer: 172*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (16\/2)\/(6\/(-3)). Let s(q) = -234*q + q**2 - 235*q + w + 473*q. Give s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(343)*-2 - (2 + sqrt(343) - sqrt(343))*3)**2.\nAnswer: 168*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28665 and 101115.\nAnswer: 9201465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.43 + 0.57. Let p = 6 + -4. Sort p, y, -4 in decreasing order.\nAnswer: p, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1, 3, -4 in ascending order.\nAnswer: -4, 1, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(-1)\/12)\/((-1)\/6). Let j(p) = p**y + 14*p**2 - 9*p**2. Let s(b) = 6*b**2 - 4*b**2 - 6*b**2. Give j(s(o)).\nAnswer: 96*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.99943 + -8. Round n to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 84 - 45 + 69. Solve 96*n = 60*n + h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-10)*555\/(-6). Let p = 2074\/7 + w. Let a = 2 + -6. Put a, p, -0.4, -3 in descending order.\nAnswer: p, -0.4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k + 8*k - 1827. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778524901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by -6 + 4 - (2 + -25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2056, -2082, -2108, -2134, -2160?\nAnswer: -2186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 4*s - 2*g, 5*s = 2*s + 4*g + 182. Suppose 6*v - s = 28. Let n be v\/(60\/8) - (0 + 0). Solve -n*t = t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 2422157\nAnswer: -8\/2422157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqbqvkmx. What is prob of sequence kb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/29788 and -71\/5416.\nAnswer: 59576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/180)\/((-1)\/10). Let o = -0.121 + 4.121. Let v = -11.9 - -11.6. Which is the smallest value? (a) v (b) s (c) 1\/5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 2317*m - 44695. What is l(-19)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -905ab (base 16) in base 3?\nAnswer: -1010001002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2175\/2 or 1087?\nAnswer: 2175\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 1 - 1)*(-6*o**2 - 2*o**2 + 5*o**2).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0754284 times -0.6\nAnswer: 0.04525704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + 4. Calculate the smallest common multiple of 363 and n.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c. Suppose -5 = -t - b, 21 = 2*t - b + 8. Let z be -4 + t\/3 + 6. Solve c*r + 20 = -z*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -0.018?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 8055.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, 4\/5, 104, 8.4 in decreasing order.\nAnswer: 104, 8.4, 1, 4\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d**2 - 20*d + 8. Let r be c(6). Suppose -27*m = -31*m + r. What is the greatest common factor of m and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*w = -86, -3*x - 3*w - 26 = -4*x. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/714 and 101\/4914?\nAnswer: 83538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 4. Let k(t) = -t - 3. Let w(o) = 3*c(o) - 4*k(o). Let v(u) be the first derivative of -21 - 24 - 4 + 3*u**2. Calculate w(v(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**2 - 3*m**2)*(-6 + 6 + 1)*(-2*m + 3*m - 2*m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 21*k**2 - 13*k + 19. Give f(10).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.073119 micrometers in kilometers?\nAnswer: 0.000000003073119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 = -5*i, 5*t + 5*i - 4*i = 70. Let m(o) = 23*o - 98. Let j be m(5). Suppose j*a = t*a + 45. What is the smallest common multiple of 9 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {l: 3, v: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4878 - 351. Suppose 3253 = 4*v - n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 0.16\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9216 at least as big as -4.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1872 and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 16. Let a be (8\/6)\/(q\/9). Suppose 2*r - a*s - 20 = 0, 4*r - 18 - 16 = 2*s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -3*n - 78 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1011111100 (base 2) to base 3\nAnswer: 1001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100211 + -11?\nAnswer: 12100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3900 = 8*f - 3*f. Suppose 2*x = -2*x + f. Suppose -x = p - 4*p - 5*b, 4*b - 325 = -5*p. Calculate the greatest common divisor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -10 - (-1 - -2 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569876, 569873, 569870, 569867, 569864?\nAnswer: 569861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.16, -1\/2, -1, 0.24, 4\/39?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 3*c**2 + 5*c - 1. Let f be j(4). Let t = 0 - -11. Let h(n) = -t*n**2 - 1 - 1 + n**3 + 7*n**2 + n. Give h(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 216\/(-3) + -2 + 0. Let d = -71 - m. Let g(x) = 20*x**2 - x - 1. Let t be g(-1). Solve -y = d*y + t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c + 563 = -2*x, 17 = -3*c - 1212*x + 1207*x for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142359580?\nAnswer: 2, 5, 11, 79, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-13)\/4 + ((-810)\/(-40) - 2). Suppose -z + 0 = -17. What is the highest common factor of o and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11154141 (base 9) to base 2.\nAnswer: 10100101000101000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(108)*-6 + sqrt(108))\/((sqrt(72)\/sqrt(2))\/sqrt(4)*-6).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 8 - 3 + (2 + 2 - 6)*(2 + 1 - 1) - 1 - 3 + 1)*(-3*g - 3 + 3) to i*g + t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1226607, 4906387, 11039353, 19625505?\nAnswer: 30664843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1181716\/123 or 9606?\nAnswer: 1181716\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b - 40 = -55*b. Solve -5*g = b - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y - 303091. Let k(g) = 2*g. Determine k(o(p)).\nAnswer: 16*p - 606182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37 - 34*c**3 - 8*c**3 - 7*c**3 with respect to c.\nAnswer: -147*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 59 - 23*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 4. Let x be t(0). Let n(b) = 37 + 2*b + 0*b + 3*b - b**2 - 26. Let w be n(6). Solve -w*a - 35 = -x*y, 2*a - 2 = -2*y + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15167 + 15402. Which is greater: 43 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2232 and 1451976?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 18*a = n + 6, -2*n = -3*a - 23. Let m(o) be the first derivative of -2\/3*o**3 + 0*o - o**n - 2\/5*o**5 + 5 + 0*o**2. Let m(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6) + (-91)\/(-42). Differentiate 12 + 0 + u*g**3 + 7*g**3 with respect to g.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 (base 13) in base 14?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3)*3)\/(-2). Let v = 5 + x. Suppose 11 = y - 3*z, -v*z + 7 - 37 = -2*y. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i - 20. Let y = 39 + -35. Let c be b(y). Let g(j) = -3*j**2 + 2*j**2 - 3*j + c*j**2 + 13*j - 9. Determine g(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 31*c - 7. Let m be v(2). Let i = m - 55. Solve 2*n = 2 - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 13*f + 8. Does 2 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(200)\/sqrt(36) + sqrt(500)\/(sqrt(20)\/sqrt(2)))\/(sqrt(40)*-2 + -2*sqrt(10)*6).\nAnswer: -sqrt(5)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1\/((-12)\/561). Let p = b + 45. Calculate the common denominator of 9\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 3. Calculate h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let x be (1 + 435 + p)*1. Let j = -238 + x. What is the highest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1816 (base 12) to base 8.\nAnswer: 5522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 542*y. Let u(s) = -7*s. Give i(u(b)).\nAnswer: 98*b**2 + 3794*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -8, -3 in increasing order.\nAnswer: -16, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2736930200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**3\/3 + 9*o**2\/2 - 7*o - 3. What is the units digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 40*r - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31569345*b*h**2*i**3 - 3*b*h*i**3 + 1274333*b*h + 2*h**2*i**2 - h**2 - 11*h*i**2 wrt i.\nAnswer: -189416070*b*h**2 - 18*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g + 25. Let r(l) = 5*l + 9. What is 4*j(k) - 11*r(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 5 + -3 + -3 + (-59 - (-51 + -11))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m. Let o(c) = 101*c**2 + 65*c. What is i(o(l))?\nAnswer: -606*l**2 - 390*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19404 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 - 6*r + 6. Let x be q(2). Calculate the highest common divisor of 39 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -26\/5 (b) 5 (c) -0.1 (d) -99 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 14*y = -75. What is the units digit of ((-10)\/(-4))\/(y\/(-270))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.39 - -0.33. Which is the nearest to 1? (a) -5 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - a - 4, 2*o = -2*a + 16. Suppose 5*q - o*y - 14512 = -9*y, -3*q - 4*y + 8705 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-10) - (-1)\/(-5). Let a(n) = -n - 1. Let o be a(-3). Suppose 5 = -o*b + 3*b. Sort b, r, -2 in descending order.\nAnswer: b, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98464*s**6 + 149*s**2 + 127?\nAnswer: -11815680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16*d. Let r(l) = -3*l**2 - 4*l + 2500. Give r(c(b)).\nAnswer: -768*b**2 - 64*b + 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-2))\/(-8*15\/160)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 42 + 159. Suppose -5*f + 140 = 5*c, f = 4*c - 73 + 81. Calculate the remainder when n is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h + 2119957 = 40251077. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8818.947 millilitres in litres?\nAnswer: 8.818947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 17 = -4*o, 2*o + 0*o = 2*f + 10. Suppose 4*g - 56 = 2*g. What is the smallest common multiple of (-24)\/g*(-28)\/6 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567301 is divided by 888?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 26 = -2*v, -32 = -3*r - 2*r + 2*v. Suppose -9*a = -5*a - 12. Let m = r - a. Solve -4*o = 4*u + 4, m*o - 3*u = 2*u - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -3. Let g = -23 - -159\/7. Which is the nearest to g? (a) r (b) -0.5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30800 = 18396*y - 18446*y. Solve 3*k - y*b + 17 = -617*b, -5*b - 21 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101001101101110010101010 - 100?\nAnswer: -101101001101101110010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29052900 and 1235?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4 + 1229*g**3\/2 + 47580*g**2 + 115209*g\/2 - 70227 = 0. What is g?\nAnswer: -153, -2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 12824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1645 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -834.8\nAnswer: 2504.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:55 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -28*l - 9 + 8 + 7 + 8*l + 10. What is the tens digit of f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-nine halves of a millennium?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.4, 3, 5\/6, -1\/162, -5?\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecie when four letters picked without replacement from cceiieci?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*s = -1490 - 1540 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.583 (b) 1\/2 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2994737 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b. Let c be d(3). Let n = c + -2. Let r be -1*n + 0 + 160001. What is r rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*w = 3*z + 20, 2*z + 3*w + 17 = 0. Let a be (4000\/z)\/(5\/(-9250)). What is a rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-30)*-14)\/(544\/204) and 4 + 291\/(-108) + (-1)\/1?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200)*2*-5 + -1*(sqrt(2200) - (2*sqrt(2200) - sqrt(2200))))\/((sqrt(99) - -4*1*sqrt(99))*2))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1463*r**3 - 1 + 853*r**3 + 606*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -8 - (-16 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*v - 57344 = -381*v - 13624 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 262554 times -3\nAnswer: -787662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - 4*s**2 + 3*s**3 - 10*s + 12*s**2 - 9*s - 137 + 129. Let y be t(5). Is -28 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4079 is divided by 193?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000001100 (base 2) to base 14.\nAnswer: 11a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 5:58 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l - 1. Let j(k) = -k**3 - 3. Let q(m) = -m. Let f be q(-2). Let t be 7\/f - (-5)\/(-10). Give t*n(r) - j(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 9. Let m(t) = -t**2 + 6*t - 8. Let y be m(6). Let n = 11 + y. Solve -b - k*b = -n*c + 32, 0 = -3*c + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (-4 + sqrt(612)))*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1*((-1)\/(-12))\/((-150)\/200).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 6*w - 84. What is y(0)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -278*o**2 - 56*o - 5. Let y(m) = 137*m**2 + 28*m + 3. Give 3*f(u) + 5*y(u).\nAnswer: -149*u**2 - 28*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4584 = -10*p - 112*p + 3102 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*r - 18, -426*r + 425*r = -2*t + 21 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-40))\/(6\/(-70)) - 1) + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.06469*0.3.\nAnswer: -6.319407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/20 + 7*t**4\/12 + t**3 - 15*t**2\/2 + 13*t. Let i be d(-6). What is the smallest common multiple of (-10)\/i*27\/1 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10*v + 6*v = 27, -150 = -4*r - 5*v. Suppose -4*y - y - m = 35, -2*m - r = 5*y. Let d(z) = 4*z + 17. Give d(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 73 = -3. Suppose r*j + 2 = 47. What is the greatest common factor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 89 = -1799. Suppose -66*x + 63*x = -n. What are the prime factors of x?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -749 and -187.8.\nAnswer: 140662.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 114\/(-21) + 12\/28. Let j be (3*-1)\/(3\/(4 + z)). Let i(m) = 95*m**2 - m. What is the tens digit of i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 + 5*w + 19. What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 5*k + 2*k - 7. Let t be x(-5). Suppose -3*z - 6 = 0, -t*a - 4*z = 1 - 53. Solve 2*p = -2*p + a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.416 + 0.116. Let n = 10.3 + y. Which is the closest to 0? (a) -9\/7 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.66 times 83.21?\nAnswer: 387.7586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 42. Let o(s) = -s - 4. What is o(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126 - 100) + 2 + 8 + -54?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 2*s**7\/189 - s**6\/45 - 19*s**5\/90 + s**4\/3 + 44*s**3\/27 - 8*s**2\/3 - 515*s. Determine h, given that j(h) = 0.\nAnswer: -2, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - -4) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 599061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, -2, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*h = 58, -2*p - 77 = p + 4*h. Let o be (p\/(-6))\/(6\/16). What is the units digit of 4\/6 + 256\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 312816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/12 + 2*o**3\/3 + 2*o**2 - 30*o. Let y(k) = k**2 - k - 8. Let q be y(4). Determine v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206900797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Let f be (-10 - -11) + 1\/1. Suppose f*r + 15 = 5*r. Solve l - 3*h + 0 = 1, b*l - h - r = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = t + 4*t + 19, 0 = -4*g + t + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 12*u**2 + 12*u - 11. Let k be s(-13). Suppose -2*g + 5*g + 24 = 4*c, -k*c + 32 = -4*g. Let l = g + 8. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 6. Suppose 1424 = m*o - 4090. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**4 - 2705442*v**3 - 2331806*v**2 wrt v?\nAnswer: -24*v - 16232652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 253088606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121648221 rounded to the nearest one hundred thousand?\nAnswer: -2121600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a3 - 2747?\nAnswer: -2b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 530, 4, 69, -4, 51 in descending order.\nAnswer: 530, 69, 51, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*d + 8 = d, -2*n + 21 = 3*d. Suppose -5*g + 3*y + y + 24 = 0, 3*y = 4*g - 19. Suppose -g*u = -u + 3. Put 5, u, n in descending order.\nAnswer: 5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -800115763*a**3 + 1090394212*a**2 wrt a.\nAnswer: -4800694578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223\/8*u**2 + 1\/4*u**5 + 63\/8*u**4 + 0 - 93\/4*u + 3*u**3 = 0. Calculate u.\nAnswer: -31, -3\/2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/85, -0.2, 1, -2630.\nAnswer: -2630, -3, -0.2, 2\/85, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 12. Let m be l(-3). Solve m*d - 5*d = 4*o + 25, 0 = -2*o - 2*d - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m + 1. Suppose -4*n = -5*b - 4, -2*b + 1 = 3*n - 2*n. Let p be (0 - b) + 4 + -5. What is y(p)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628450?\nAnswer: 2, 5, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000111241 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/136124 and -9\/2516.\nAnswer: 85621996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 73169.44 millennia in decades?\nAnswer: 7316944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-1)\/1)*-9. Let a = r - 7. Factor -7 - 3*f**2 + 0*f**a + 12*f - 4 - 1.\nAnswer: -3*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3 + 1)\/(805\/345).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 11*m**4\/2 + m**2\/2 - 148*m + 894. Find the first derivative of j(h) wrt h.\nAnswer: 66*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*l**4 + 3*l**5 - 3*l**5 - 2*l**5 + (-7 + 4 + 2)*(-3*l**5 + 2*l**5 + 2*l**5).\nAnswer: -3*l**5 - 19*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 611089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15050 - 4940 = 0. Suppose 3*t + 4303 = -h. Let f = 67 + t. What is f rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796046345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*l*s + l + 3*s + 104 wrt s.\nAnswer: -39*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 4 - 1\/2*t + 1\/20*t**5 + 1\/12*t**3 - 3\/8*t**2 + 3\/16*t**4. Factor b(y).\nAnswer: (y - 1)*(y + 1)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63035253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -393*j**2 - j. Let m be o(-1). Let y = m + 393. Solve 7 = 2*i + q, y + 0 = -i - 5*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 22. What is h(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505951831 divided by -72278833.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 138 - 326 = 0. Let c be 7\/(14\/s) + 2. Let d = c - -87. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/30)\/(6*(-8)\/(-720))*8\/(-48)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 22*h**5\/13 + 64*h**4 + 1278*h**3\/13 - 5716*h**2\/13 + 320*h - 576\/13 = 0.\nAnswer: -36, -4, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b600 - 2?\nAnswer: b5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9))**(29\/2)\/(((d\/((d*((d*d**(-5\/6))\/d)\/d)\/d))\/d)\/d**0))**(-2\/87) assuming d is positive.\nAnswer: d**(-25\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c, -c - 12 = q + 2*c. Solve 1 = -2*k - q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -972 in -2111\/5, 10, -2?\nAnswer: -2111\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) + 52\/6. Let m(j) = -4*j - 13. Let u be m(-19). Calculate the highest common factor of u and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/20 + 15\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 33 + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107662467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/6 - y**2\/2 + 5*y. Let g(x) = x**3 - 3. Let n be g(0). Calculate f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 divided by -107850.\nAnswer: -181\/53925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 plus -119326?\nAnswer: -119053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/15*(50\/15 + 0). What is the nearest to 2\/7 in s, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011011 - -10011111101?\nAnswer: -10111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**7\/2940 + l**5\/140 + 13*l**4\/12 - 13*l**2. Let u(f) be the second derivative of r(f). Determine h, given that u(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7677 * 1\nAnswer: -7677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1420 + 4805. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 44*r**2 + 117*r + 53. Calculate w(-41).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -bc305 (base 14) to base 10\nAnswer: -456097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 c when three letters picked without replacement from {e: 1, m: 2, c: 1, p: 1, l: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let x be (n - 6)*(-16)\/2. Suppose 30 + x = g. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 136. Let a = h - 52. Factor 4\/3*i + a + 2\/3*i**3 - 2*i**2.\nAnswer: 2*i*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -0*k. Let q = k - -7. Suppose 4*g = 11 + 9, -5*g + 112 = 3*z. Calculate the remainder when z is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2. Let i(b) = 166348*b - 2. Determine i(z(r)).\nAnswer: 499044*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000096439 to 6 decimal places.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 9\/6)*62. Suppose -3*f + 2*l + 137 = -0*l, 5*f - 5*l - 225 = 0. Let c = x + f. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (6*(sqrt(117) + -3) + 4 - 5*(sqrt(117) + sqrt(117)*-1*3))))**2.\nAnswer: -65664*sqrt(13) + 1091268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 + -6.6. Let y be -4*2*(-1)\/(-44). Which is the third biggest value? (a) y (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -1. Let h = 0 - 4. Calculate the remainder when (h - -6)*(-42)\/(-4) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-12))**28)**(-39))**(-2\/51) assuming q is positive.\nAnswer: q**(-8008\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.054 + -0.044. Let u = 0.01 - s. Let j = -4.04 + 4. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 5. Let w be (3 - 1)*(0 + 2). Let s = 11 - w. What is the units digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*h - 47 = 0, 0 = -5*b - 5*h + 1642 - 1577 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -r + 6*r. Suppose 11*f - 12 = r*f. Let p be (-234)\/(-845)*(-40)\/f. Is -3 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4581 + 3882 + 4*i**2 - 2*i**2 to the form r*i + y*i**2 + c and give c.\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608691 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 0, -5*b - 5 = 2*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, 2.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -223 and -222 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109526003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3071*f - 4100. Is 189 a factor of z(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -7. Let l = -10\/21 + 8\/7. Let p = -16.7 + 16.8. Which is the nearest to p? (a) q (b) -3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 492?\nAnswer: -21\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - g - 876 = 0, 388 - 1472 = 5*c + 4*g. Let t = 3\/1232 + -16949\/3696. What is the common denominator of t and (-8)\/(-12)*(-399)\/c?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 9*c - 2. Let r(v) = 1188*v**2 - 43*v + 8. What is -5*q(l) - r(l)?\nAnswer: -1193*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i**5 - 723*i**4 + 16131*i**3 + 42951*i**2 - 1067070*i - 359856 = 0.\nAnswer: -98, -8, -1\/3, 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from googgggggg?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343306 to the power of 1\/2, to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5325.23ml to litres.\nAnswer: 5.32523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose 2*j - k - 35 = -2*j, 3*j - m*k = 24. Solve -j = -q - 5*y, -5*y = -q + 5*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897573573.\nAnswer: 3, 13, 7671569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 - 3584*z**4 - 817024*z**3 - 6365184*z**2 - 12616704*z.\nAnswer: -4*z*(z + 4)**2*(z + 444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - 2, -2*y + f - 45 = 0. Let s = 13177 - 13199. Which is bigger: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**6\/105 - 9*x**5\/70 + x**4\/7 + 16*x**3\/21 - 865*x. Let s(b) = 0. What is b?\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -11 + 11 + 8 + -4 + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83527911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751513?\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/12848 and 7\/330.\nAnswer: 192720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -60. Calculate the remainder when 30 is divided by (o\/(-3))\/((10\/(-57))\/(-5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 11, h: 1}. Give prob of sequence ttt.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/3)\/((-2)\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(55) + sqrt(495)))\/(4*sqrt(45)\/sqrt(9)) + -5.\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -14. Suppose -283 = -o*d - 55. Is 17 a factor of 0 + d - (-9)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212\/7 >= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116439612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 - (-2 - -4 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 + 2*o**3 - o**3 + (1 - 1 + 5*o**2)*(-4*o + 3*o - o) as z*o**2 + c*o**3 + j*o + h and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-88) - (-205552)\/(-5104)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58032\/(-4992)*(-80)\/15?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -708894.505 to the nearest ten.\nAnswer: -708890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*k**4*m - 160*k**3*p**2 + 331*k**3 + 4089*k**2*m - 196*k*m*p - 7*p**2 wrt k.\nAnswer: 1848*k*m - 960*p**2 + 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3259586797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 3*g**4 + 5*g**4 + g**3 + 7*g**4 - 5*g**3 - 4*g**4 + 6*g**4 - g**4 - 4*g**4 + (-2*g**2 + 2*g**2 + 2*g**2)*(-g**2 + 3*g**2 + 0*g**2).\nAnswer: 11*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71962 - -359814\/5. Find u, given that -8*u**3 + 0 + n*u**4 + 68\/5*u**2 - 32\/5*u = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 16*w + 4. What are the prime factors of c(-7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 31 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than -43\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**4\/8 + 5*m**3\/3 - 3*m**2. Let y be g(9). Is y + 2 + -1 + -1 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 5:00 AM and 10:23 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - -6)*(-2)\/6 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllllhxlxllltlx. What is prob of sequence hx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 32603*r - 911960. What is b(28)?\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3311 (base 9) to base 11\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*k - 12, -4*l - 1 = -2*k - 5. What is the second derivative of 5*n + 12*n**4 + 15*n**k + 6*n - 15*n**2 wrt n?\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 3, u: 12}. Give prob of picking 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1737*x**2 + 3505*x**2 - 1766*x**2 + 27*x - 6 + 4 to the form b + v*x**2 + g*x and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18342359, -18342349, -18342333, -18342311?\nAnswer: -18342283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -581 + 1721. Suppose n = -2*j - j. Round j to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41958*p - 24351*p + 3*p**2 - 13636*p + p**2.\nAnswer: 4*p**2 - 79945*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdk when three letters picked without replacement from {d: 1, x: 1, k: 10, j: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 63 (c) 0.2 (d) -3\/5 (e) -0.3 (f) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 748735 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/663 in 1, -22187, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 3*x - 3*x + 0 + 0 + x + (x - 3*x + x)*(0 + 0 - 1) + (4*x - 6 - 32*x + 4)*(70 + 26 + 31).\nAnswer: -3553*x - 254","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32215.5257 rounded to the nearest integer?\nAnswer: 32216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70920508.\nAnswer: 2, 317, 55931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - b + (-b - b + 4*b)*(0 + 2 + 0) + 5*b + 0*b - b)*(b + b + 2*b) + b**2 - 2*b**2 + 3*b**2)*(b**3 - 2*b**3 + 0*b**3).\nAnswer: -30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + 2.3. Let g = -1 - -1. What is the nearest to g in 0.1, u, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/12 - 177*d**2. Let p(a) = -189*a**2. Determine p(n(z)).\nAnswer: -756*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 404846622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12)\/(-4 - (-20)\/8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291692370 divided by -3?\nAnswer: -97230790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 - h**2 - 31 - 14*h**3 - 2*h**4 + 0*h**2 - 93 to a*h**4 + d + p*h + w*h**2 + k*h**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.0092344.\nAnswer: 0.00184688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/11 (c) -0.9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7873 is divided by 1144.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 8}. Give prob of picking 1 y and 3 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1248?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174049490.\nAnswer: 2, 5, 17404949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74490 - 12468. List the prime factors of g.\nAnswer: 2, 3, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 1115*k - 1116*k - 1, -k + 6 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217 + 223. Let i = -676 + 691. Solve o = k*o - i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 5*h**2 - 5*h + 2. Let n = 4 - 1. Let w be m(n). Is w <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**6\/3 - 6*d**5 + 13*d**4 + 4*d**3\/3 - 27*d**2 + 26*d + 368. Factor n(c).\nAnswer: 2*(c - 13)*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 - (-7 + (-6)\/(-6) + 1). Solve i - 4*i + r*j = -5, -5*i - 4*j = 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1832*f**2 + 956?\nAnswer: 3664*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*y - 44 = 0, 0*l - 5*y = l. Let t = -3 - -6. Solve 5*z - 11 = -3*k + 6, -t*k + l = -2*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913937199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10527668 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: Calculate -381534121 divided by -56869.\nAnswer: 6709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839533.\nAnswer: 79, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-1 + (-12)\/(-9)). Which is the nearest to -1? (a) q (b) -0.2 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37423 by 37423.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -59. Suppose -8*y + 6*y + 4 = m. Which is the closest to 1? (a) y (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4011211013?\nAnswer: 4011211023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - b - b)*(0*b + 3*b - b) - 5*b**2 - 11*b**2 - 5*b + 8*b**2 in the form m*b**2 + a*b + l and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9346409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let a(t) = 1586*t - 2. Let v(m) = 15861*m - 21. Let u(k) = 42*a(k) - 4*v(k). Determine u(b(y)).\nAnswer: 3168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 44, 99, 186, 311, 480?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:29 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2*1)*(21 + -21). Let w = -4 + 3. Let l(g) = 2*g - 1. Let a be l(w). Put a, h, -4 in increasing order.\nAnswer: -4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u**(1\/9)\/u)\/u)))\/u**(10\/9)*((u*u*u**(-11)*u)\/u)\/(u**(3\/2)\/u) assuming u is positive.\nAnswer: u**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-32))\/((-10)\/26*(-2)\/(-4)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.8898, 0.4, 33?\nAnswer: -1.8898","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -1123*f**5\/12 + 1051*f**4\/4 + 17*f**2 + 4*f + 4. Find the second derivative of j(c) wrt c.\nAnswer: -11230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g**3 + 32*g**2 - 539*g + 490 = 0. What is g?\nAnswer: -7, 1, 70\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12404)\/210868 - (-1701)\/17.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1241*c*k + 7287*c + 177*k - 1127482 wrt c?\nAnswer: 1241*k + 7287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 67 + 2)*4*3. Let x = -519 + d. What are the prime factors of x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbyb. Give prob of sequence yy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from {y: 4, o: 3, f: 5, m: 1}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (13 - (-13 + 9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -183*z**2 - 559*z - 37. Give i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j - 193. Let p(t) = t**3 + 16*t**2 - 29*t - 36. Let z be p(-17). What is the highest common factor of j and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -17*r**5\/60 - 187*r**4\/24 + 1679*r**3\/6 + 44*r**2 + 20*r. What is the derivative of y(d) wrt d?\nAnswer: -34*d - 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/81)\/((-16)\/4)*(-8)\/7.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7967321 litres?\nAnswer: 796.7321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/60 + n**4\/12 + 18*n**2. Factor u(z).\nAnswer: z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*t + 33 = 92*t. Solve 2*g - 5 = 5, 7 = -t*u + 2*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -367*l - 3*l**2 - 8 + 373*l + 2*l**2. Calculate h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 plus 0.07?\nAnswer: -147.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.025+11677.7\nAnswer: 11677.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {e: 3, h: 2, y: 1, k: 6, d: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 27, 30, 45, 78, 135, 222?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110000 - 1?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 4908269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 14*c**2 + 15*c. Suppose 104 = 4*j + 4*j. Does 18 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 40 = 2*y + 48, y = d - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121877690 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60643 - -60642.99. Suppose -2*g + 5 = -5. Which is the closest to -0.2? (a) 0.2 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*p + 13 + 57, 0 = -3*q - 15. Suppose k + 0*k = 3*z - p, -2*z = 5*k. Solve 0 = -5*n + 5*l - 15, 0 = -5*l - 0 - z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 1. Let i be k(6). Suppose 0 = -2*a + 119 + 11. What is the greatest common factor of i and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 105, 119, 147, 195, 269, 375, 519, 707?\n\"Answer: i**3 + i**2 + 4*i + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in days?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 8. Suppose -3*v - v = -s, -u - 4*v = -19. Suppose 5*k = 2*c + 200, 0 = -3*k - u*c - c + 146. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -704\/5*x**5 + 79 - 24*x**3 + 0*x + 105*x**4 + 0*x**2 + 128\/3*x**6. Solve k(a) = 0.\nAnswer: 0, 3\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + -81 + 53 + 71?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80) + -1 + 2 - sqrt(80) - -3*sqrt(80)*-2)**2*-4.\nAnswer: -8004 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 66*o**2 - 43*o + 1434. Let u be j(-65). Sort 3, u, -2, 7 in increasing order.\nAnswer: -2, 3, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.04 - 11. Round h to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1131 (base 7) to base 9\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Let u(l) = 5*l + l + y*l. Let h(g) = -4*g**2 - 2*g - 2. Let a(c) = -5*c**2 - 3*c - 3. Let i(x) = -2*a(x) + 3*h(x). Calculate i(u(n)).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 28 = -b, 2*b = -5*t - 104 + 113 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 - 14041*t**4 - 7018*t**3 + 14041*t**2 + 7020*t = 0. What is t?\nAnswer: -7020, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - -45 - 12. Solve 2*c - h = -31 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356041096 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106272 is divided by 1436.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 4. Let h(r) = -325*r - 1 + 2 + 5 + 331*r. Let u(w) = w + 5 - 2 - 2. What is l*u(d) + h(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474*r = -469*r - 75. Calculate the lowest common multiple of r and 425.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541.89 micrograms in kilograms?\nAnswer: 0.00000154189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 23a175?\nAnswer: -23a178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3970 is divided by 582?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23387 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -22763.\nAnswer: -4\/22763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 20. Let x = 41\/132 - 2\/33. Put x, 0.5, 4, y in descending order.\nAnswer: 4, 0.5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.087 + 10.087. What is the nearest to 0.1 in n, -2, -4, 9.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from badcbdicdtdcdiddab. Give prob of sequence ddt.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1300\/(-260)*(-81)\/(-15)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*u**2 + u**2 + 29*u**4 + 71*u**3 - 71*u**3 wrt u?\nAnswer: 696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 6982142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/45)\/(12\/378*(-2)\/((-64)\/(-16)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(-3*u + 5*u - 4*u) + 2*u - 2*u + u)*(45*u**3 - 76*u**3 + 47*u**3 + 7*u**4 - 2*u).\nAnswer: 35*u**5 + 80*u**4 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304929 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzcayio. Give prob of picking 1 y, 1 z, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*n - 96 = -652*n + 2160 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 870.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 1:41 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 4*b)*(3*b**3 + 0*b**3 - b**3) - 3*b**4 + 3*b**4 - 2*b**4 + (-3*b + 2*b - b)*(4 - 2*b**3 - 4) - 2*b**4 + 2*b**4 + b**4.\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 9*w**2 - 10*w + 4. Let b be 1 - (-4 + 0 - -3). Suppose 2*q = -b*q + 40. What are the prime factors of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/69961852 and -143\/18?\nAnswer: 629656668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3431 + 2720 + 75*s + 711.\nAnswer: 75*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136590921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - -51. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:04 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.18 - 0.02. Let k = -40 + 35. Put q, k, -2 in ascending order.\nAnswer: k, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4 + 12*h**3 + 135*h**2 - 850*h = 0.\nAnswer: -10, 0, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/10 + 3\/5. Put 5, k, -2\/3, 1\/3 in increasing order.\nAnswer: -2\/3, 1\/3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(3\/2)*k*k))**(-3)*k**(-2\/15)*k*k*k\/k**(3\/8))**31 assuming k is positive.\nAnswer: k**(37169\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 268471, 268584, 268695, 268804?\n\"Answer: -f**2 + 116*f + 268356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j - 477*j**3 - 102*j + 57*j.\nAnswer: -477*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/30, -1\/4, 2, -2\/7 in increasing order.\nAnswer: -2\/7, -1\/4, -1\/30, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765 is divided by 99?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4053 and 39\/22232.\nAnswer: 12872328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urrlrnlr. What is prob of picking 2 r, 1 u, and 1 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1377) + sqrt(102)\/(sqrt(18)\/sqrt(3)).\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*1 + sqrt(68) + sqrt(68) - (sqrt(68) - (sqrt(68) + 4*(sqrt(68) + 1*sqrt(68) + sqrt(68)))))\/((-3*sqrt(216))\/(sqrt(216)*1)).\nAnswer: -34*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -36. Sort 5, l, 3.\nAnswer: l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1972380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-15)*1*25. Let o = l - 86. Let t = o + 122. Calculate the highest common divisor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 32. What is the closest to -3 in -0.1, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/((-1)\/(-5)). Let m(x) = 6*x**2 - 8*x**t - x**2. Let f(p) = -p. What is m(f(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhh. What is prob of sequence hb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-29)\/((g*g**(11\/6)*g)\/g))\/(g\/((g\/(g\/(g**(-3\/17)\/g)))\/g)*((g*g**(2\/37))\/g*g)\/g) assuming g is positive.\nAnswer: g**(-132331\/3774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 14848b6?\nAnswer: 1484912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15547010 (base 8) to base 7.\nAnswer: 42346252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let z be (4\/(-12))\/(h\/12). Do -1\/2 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224598.\nAnswer: 2, 3, 11, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - 11 - (630 - 717)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1066*d**2 + 51*d**3 + 1064*d**2 - 2128*d**2 - 4 to v*d + i + k*d**2 + s*d**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885819 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5\/4, -4\/249, -28?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from bgqxjqqgjixi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5922000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/35 and ((-424)\/336)\/((-1)\/(1\/(-1)))?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18*y - 15. What is the smallest common multiple of 60\/(-8)*(-40)\/6 and l(1)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176.857 * -0.5\nAnswer: -88.4285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 377051 or 377050?\nAnswer: 377050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t - t. Let y = 27 - t. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 1653222*z - 16531920.\nAnswer: -3*(z - 551064)*(z - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/584024 and 25\/252.\nAnswer: 5256216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k + 8*k - 16*k)*(-k**2 + 14*k**2 + 0*k**2 + 7*k**3).\nAnswer: 133*k**4 + 247*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - c + 549 = 0, -2*b = -4*c + 117 - 497. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 18 = -2*m, -55*j + 52*j = -m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.2, 2, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 26. Let c be (-30)\/j*13\/(-65). Is -1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + p = -3, 5*h + 4*p - 12 = h. Suppose 3*q - 1779 = -2*q - 3*m, -h*m = -2*q + 720. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -918.63 + 918.43. Let s = -0.4 + 0.9. Let k = 0.4 - 0.2. Which is the nearest to -0.2? (a) k (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20637 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288870632*n**3 - 5568*n**2 + 13718*n**5 - 288870632*n**3 wrt n?\nAnswer: 823080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -r - 166, -2*h - 2*r = -15 - 85. What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.582 + -1.44. Let s = t - -0.058. Which is the fourth biggest value? (a) -0.3 (b) -7 (c) s (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12302640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6)\/(-45)*99\/2574*-52.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - 72\/(-7). Let u(j) = j**2 - 10*j + 3. List the prime factors of u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 20*g**2 + 35*g - 16. Calculate r(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 20382.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43523, -43552, -43579, -43604?\n\"Answer: q**2 - 32*q - 43492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {d: 2, b: 3, j: 6, p: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1195 - 44218\/37. Suppose 2*k = -1031 + 1033. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 5. Let m be f(7). Let s = -121 - -128. Sort m, s, 1 in descending order.\nAnswer: s, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 9. Solve 0 = -q*l + 5*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + z**2 + 1\/3*z**3 + 2\/3*z = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136392.\nAnswer: 2, 3, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-28))\/(1797\/(-26955)))\/((-140)\/(-441))?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/63 - 4 - -4. Which is the nearest to -1? (a) -12 (b) 8\/7 (c) p (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(15\/(-10))\/((-27)\/2*6\/(-684))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjwwlbwjillbml. Give prob of sequence jwi.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 5*u**2 + 46*u**3 + 546*u**3 - 3*u**2 - 5*u**2 to j*u + g*u**3 + x*u**2 + r and give g.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931867491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -24*x. Let h(c) = 22*c + 2*c - 98 + 98. Let o(w) = 11*w. Let z(s) = -6*h(s) + 13*o(s). Give z(i(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = -49 - 41 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (6 + (-1 - -2) - 21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4954 - 99?\nAnswer: 4899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 76 = -6*s + 4*d, 2*d - 106 = -3*s. Calculate the highest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y**2 - y)*((-2 - 1 + 1)*(3 - 1 - 4)*(2*y + 6*y - y) + (3*y - 2*y + 0*y)*(0 - 2 + 3)).\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4.4. Let b be 19 - (-1 + -2)\/(-3). Suppose 3*f - 2*n + 6*n = 3, 3*f = n + b. What is the biggest value in w, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 + 1 = 0. Let t be 1\/o + (-1)\/(-4). What is the second derivative of t*s**2 + 2*s + s + 0*s + s**2 wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 3*d**2 + 6*d - 3. Let z be f(4). Suppose 424 = 4*l - 4*x, 0*l = z*l - 3*x - 534. Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35000 (base 12) to base 2\nAnswer: -10001010011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6*1\/(-4). Let t = 51.1 + -51.2. Which is the nearest to t? (a) -4\/3 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -180, -269, -358, -447?\n\"Answer: -89*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257363166.\nAnswer: 2, 3, 787, 54503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16357565 is divided by 195?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*q + 6621 = -4906 - 3383 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 6*f - 4*f)*(1 - 3 - 4) - f - 2*f + f + (-1 + 5 + 10)*(0*f + 4*f - 2*f).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -587 and 0.06.\nAnswer: -586.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-240)*(-2)\/(-10)*-18\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130720 - -385677. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1320*a + 17900. Calculate w(14).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 30711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 = 50*g - 3*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 312 - -102. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-27))\/((-2)\/(-42)). Let r = 28 + w. Solve c + 2 = 0, r*c = -x - 2*c - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 58218834?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 3*f. Suppose -11*m = -9*m - 84. Suppose -10*h = -f*h - m. Solve -4*d = -h*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 3:42 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (0 + -7 + 5) - 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27876102?\nAnswer: 2, 3, 4646017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/3 + 2*r**3\/3 - r\/3.\nAnswer: -r*(r - 1)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) + (-8)\/(-32). Suppose 12 = -0*x + 4*x. Let p = x + d. Calculate the remainder when 11 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4 - 5*q**2)*(-1 - q + 1) - 6*q**3 + 7*q**3 - 4*q**3 in the form p*q + d*q**2 + o + v*q**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1168, 1173, 1178?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1234, 900, 344, -434, -1434, -2656?\nAnswer: -4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9981943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1010.73 to zero dps.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-35)*2296\/5904 + (-700)\/(-1494).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38da - -3?\nAnswer: 38dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let y(m) = -4*m**2 - m + 4. Let t(b) = -2*h(b) - y(b). Let n be t(-2). Solve -2*z = -5*f, -n*z - 7 = -z + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/75, -35, 9\/7?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(2))*6.\nAnswer: -18 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 3*o**2 - 2. Let t be d(3). What is the tens digit of (0 + 2)*(-11)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -68*u - 34. Let w(m) = -790 - 63*m + 131*m + 791 - 67*m. Give -f(p) - 34*w(p).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - (-2 + 1)) + (518 - 524). Let w(t) = 4*t + 10. What is w(v)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49654 divided by 26691.\nAnswer: -49654\/26691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20642026 (base 7) to base 4\nAnswer: 12231100132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65)\/(-15) - (3 + -4)*-4. What is the biggest value in -0.8, 2, 4, -17\/2, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o + 123. Let f be t(-17). Let z(l) = 1. Let x = -3 + 2. Let y(m) = 3*m**2 - 9*m - 8. Let b(a) = f*z(a) + x*y(a). Factor b(n).\nAnswer: -3*(n - 4)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-4))\/((-21)\/8). Let d be (-539)\/44 + 12 + 26\/72. Let l = -5\/36 - d. What is the closest to -1\/3 in x, l, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/795319?\nAnswer: 3\/795319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 16*i = 17*i - 43768. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 2:05 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 160 = -4*f, g - 2*f = -3*g + 158. Suppose 3*n + 4*y = 82, 5*y - 75 = -3*n + 8*y. What is the highest common factor of g and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -284, -516, -694, -734, -552, -64?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5580)\/1365 + 4)\/(46\/483)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*q + 285 = -103*q. What is the greatest common divisor of q and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = 0, 4*d + 0*c + c - 181 = 0. Suppose d*k = 40*k + 1940. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(21)\/sqrt(3) + -5 - (4 + sqrt(28) - (sqrt(175) - (sqrt(175) + -1))))**2.\nAnswer: 16*sqrt(7) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333526, 667095, 1000640, 1334155, 1667634?\nAnswer: 2001071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let a(y) = -3*y**2 - 220. Give p(a(h)).\nAnswer: -6*h**2 - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85145052162 + 653.6.\nAnswer: -85145051508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-6))\/((-30)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3518?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10534557259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.006 - -0.234. Let f = -32.7 + 33.1. Sort f, 5, v in descending order.\nAnswer: 5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436\/51 or 241?\nAnswer: -436\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 12?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-12) + 224\/6. Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1004, -1002, -1000, -998, -996?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.66 and -2.3.\nAnswer: -1.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3965 - 7898 = 15*j + 5*w - 4138, 15 - 97 = -2*j - 2*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0633 and -0.0100977493.\nAnswer: 0.0532022507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 152b5 (base 15) to base 4\nAnswer: 100220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(304)*-3)**2 - (sqrt(95) - 1*sqrt(95))\/sqrt(5))*6 - -1*(3*(sqrt(19) - (-3*sqrt(19))**2) - -2*-3*sqrt(19)).\nAnswer: -82593 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 - -2102002011?\nAnswer: 2102000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*t = 4, -b - 22 = 4*b - 3*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:58 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5234, 7509, 9784?\n\"Answer: 2275*u + 2959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1889*488.\nAnswer: -92.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 529996800 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 t(h) = 4*h**2 - 23*h - 31. Let s(w) = -w**2 + 4*w + 6. Let u(m) = -11*s(m) - 2*t(m). Let f(k) = 3*k**2 + k - 3. Calculate -3*f(i) + 2*u(i).\nAnswer: -3*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(96\/(-3168))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4248 and 29\/1180.\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 + 5*d**3 + 7*d**3 + 0 + 12.\nAnswer: -4*d**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -2*d - 1, -2*v = -5*d + 7. Suppose 0 = d*c + 12, 5*c + 14 - 4 = -5*m. What is the second derivative of 3*b + 2*b**2 - 3*b**2 + m*b**2 wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 2*z - 22, 6 + 3 = 3*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, g: 1, a: 3, w: 1, u: 1, s: 2}. What is prob of sequence als?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112211010 (base 3) to base 16.\nAnswer: -2a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*p - j - 348, -5*p - 356 = j. Let k = -43 - p. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = 26. Calculate the remainder when 41 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h + 416. Calculate q(-47).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 8263724?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-176))\/((-1452)\/220946*83).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -32. Let a = -11 + k. Suppose 3*y + 0*y + 5*d + 1 = a, -2*y = -2*d - 10. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*g - 72883 = 94061. What is the biggest value in g, -2\/17, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 66744.08 millennia?\nAnswer: 667440.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/3 + 28768*a\/3 - 51724864\/3.\nAnswer: -4*(a - 3596)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62680 and 7960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l = 32*l - 30. Calculate the remainder when 34 is divided by 3 + (-24)\/(10\/l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38 + 6 = 0. What is the smallest common multiple of 184 and f?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5586632, -11173231, -16759800, -22346339?\n\"Answer: 15*i**2 - 5586644*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.4, -5, 4 in descending order.\nAnswer: 7.4, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/((sqrt(3) - (sqrt(3) - sqrt(12)\/sqrt(4)))*1))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*h = -24965, 3*h - 9990 = -2*b + 2*h. What is the greatest common divisor of 38 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(-57)\/19?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -5 (b) -167 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, d: 7}. What is prob of sequence dt?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 7*g + 3*g**2 - 2*g - 4 - 2*g. Let t be u(3). Suppose -5*p + t = -5. Is p less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3140306 grams?\nAnswer: 314.0306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (16\/(-24))\/(2\/(-285))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1119*n**2. Let q(f) = -10*f. Calculate y(q(t)).\nAnswer: -111900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 39. Let i = -14 + j. What is the lowest common multiple of 6 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 9. Let f be v(-6). Let i = -28 - f. Let j(t) = t + 8. Let a be j(i). Solve k = 6 - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -753 + 753.3. Let m = -6.9 + 7. Put -4, m, k, 2 in descending order.\nAnswer: 2, k, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*u + 3*u - 2*o, 10 = -5*u + o. Which is the nearest to 1? (a) u (b) 8 (c) 0 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -80*t**2 - 147*t + 433. Calculate o(3).\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-17 - -3)) + 8 - -37\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(1\/7))*f*f**5*f)\/(f**(-1\/2)\/f)**(13\/2) assuming f is positive.\nAnswer: f**(473\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010011110100011011011?\nAnswer: 1010011110100011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1002 + 442?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((5 - (-5 - -11)) + -5 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (4 + 3 - (10 - (4 - -11)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*8\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 44. Suppose k*g - 6*i - 14 = -2*i, -3*g + 2*i = -21. Let u(o) = o**2 - 7*o + 5. Give u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 e, and 1 i when four letters picked without replacement from {g: 2, i: 5, e: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 306*q = 302*q + 7, -3*d = 2*q - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.4857*122.11.\nAnswer: 1524.628827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*m - 7, 9*m - 4*m - 23 = -n. Suppose -n*r = -2*z + 3189, 2*r - 7956 = -5*z + 4*r. Round z to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 11*v**7\/35 + 17*v**3 - 193*v**2. Find the first derivative of o(q) wrt q.\nAnswer: 264*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32583, 32554, 32503, 32430, 32335, 32218?\nAnswer: 32079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 8. Let q(f) = f - 1. Determine -o(r) - 4*q(r).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 + 6 = 5*l, -p = -l - 1. Factor 0*o + 2*o**p + 0 - 4\/5*o**2.\nAnswer: 2*o**2*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/2 - -1) + 3. Suppose -3*b = 2*j - 178, d*j = -b + 80 - 4. Let o = -40 + b. What is the greatest common divisor of o and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(20\/(-84))\/(160\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(6 + 3)*(2 + 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 6*f**4 + 487*f**3 + 8595*f**2 - 54051*f - 9245 = 0.\nAnswer: -43, -1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1656 and -223\/420210.\nAnswer: 1680840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = 4*i. Let r(g) = -g**2 + 5. Let q be r(i). Which is the biggest value? (a) q (b) -0.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 38 = -6*d - 8. Solve 0 = -3*a + 3*n - 6*n - 15, -3*a - d*n - 11 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, p: 11, k: 6}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -241, -3, 77, 4 in increasing order.\nAnswer: -241, -3, 3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -4 (c) 6 (d) -7.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1286332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24102002 (base 6) to base 14\nAnswer: 159078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/24 and -41\/6640.\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 11*y + 740. Suppose -5*v + 0*v - r = -20, 4*v + 5*r = y. Solve -15 = -v*k + 6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 - (-5 - -1 - 12714\/3185) and 47\/140.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*w + 127 + 7 = 0, -4*w = -3*q + 63. Calculate the remainder when 131 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 12672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 5*f - 4*f + 3 - 3 - f + (3 - 2 - 3)*(-3*f + 4*f + 0*f) + 3*f + 3*f - 5*f)*(17*f**4 - 25*f**4 - 10*f - f).\nAnswer: 8*f**5 + 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3010 (base 4) to base 10.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/2 - 2326*f + 599786 = 0 for f.\nAnswer: 274, 4378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -20. Let a = 10 + h. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1)*(4\/(-6) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4589000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 + q**3 + 3*q**3)*((11 - 11 - 5*q)*(4 + 4 - 6) + 0*q - q + 0*q) in the form f*q + d*q**3 + k + a*q**4 + s*q**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 u when three letters picked without replacement from uguffeuuv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7508*f*z**2 + 55*f*z - 480627*z**2 + 2*z + 1 wrt f.\nAnswer: 7508*z**2 + 55*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 21. Suppose -3 = h*r - 3. Is r < -1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 4*u - 16, 2*u + 13 = 3*c + u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2*(-4)\/16). Suppose f - 5 = 2*i - 3*i, h*f = 2*i + 20. Suppose -4*a - 142 = -f*a - p, -284 = -2*a + p. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 14. Let s be r(-15). Let t(f) = -2*f - 8. Let b be t(-6). Let i be (-363)\/s + (-1)\/b. What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 3*j**2 - j + (j + j - 4*j)*(-2*j - 4*j - 3*j) - 4*j**2 - 11*j + 11*j.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 97354*a + 19*a**2 + 20 - 97354*a - 61 to the form b*a + z + o*a**2 and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (38 + -42)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -337, -441.\nAnswer: -441, -337, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1cd (base 15) to base 4\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75) + 1) + 2*(sqrt(75) + -1) + -1 + ((sqrt(75) - (sqrt(75) - -4*(sqrt(75) + -1 + sqrt(75)))) + sqrt(75) - sqrt(75)))**2.\nAnswer: 180*sqrt(3) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-537\nAnswer: -161.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -176, -174, -168, -158, -144, -126, -104?\n\"Answer: 2*x**2 - 4*x - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -667 + 673. Solve m = -g + 3, -j*g = -g - 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlerive. Give prob of sequence lre.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 13. Let y be h(-4). Suppose -3*l + y*z + 2 = 7, -l + 1 = -z. Which is the nearest to 1\/12? (a) l (b) 0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*q - 1)*(-2*q + 5*q - 2*q) + 4*q**2 - 8*q**2 + 8*q**2)*(-1 - 1 + 1).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 2*u**2 + 2*u - 3. What is the smallest common multiple of y(-8) and 7?\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5273\/7020 + -2\/1755. Find v, given that 0 + 0*v + d*v**3 + 0*v**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43491013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 24*n - 103. Let c = 385 + -392. Let o be m(c). Suppose 0 = l - q - 1, 5*l + 2*q = -2*q + 32. What is the greatest common divisor of o and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:51 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-201)\/9648*48)\/(-2 - (-519)\/258)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -74369?\nAnswer: -520583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*l + 64 = 0, -l = 18034*x - 18030*x + 92 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - 47) + (-6 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*w**2 + 5*w**5 - 5*w**2 - 30*w**4 - 34*w**3 + 94*w**3 - 332*w + 347*w.\nAnswer: 5*w*(w - 3)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -1. Let w(u) = 9*u + 6 - 7*u + 9*u. Let m be w(6). What is the greatest common factor of f and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 8, -1\/3 in descending order.\nAnswer: 8, 0.01, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018768 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: Calculate 454711 divided by 170.\nAnswer: 454711\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1620 = -60*l + 40*l. Calculate the highest common factor of l and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192) + -4*sqrt(192) - -4*(-2 + sqrt(192)))**2.\nAnswer: -144*sqrt(3) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 33000?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8626 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = -4. Let m = -0.1 + -0.4. Let n = 1501 - 1500. What is the third smallest value in 3\/4, b, m, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m**3 - 6*m + 7. Let q(d) = 4*d**3 - 2*d + 2. Let y(s) = -21*q(s) + 6*t(s). Find the second derivative of y(j) wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**6\/120 + s**5\/30 + s**4\/6 + 7*s**3\/6 - s**2 + 439*s. Let v(k) = 3*k**3 + 5*k**2 + 11*k + 20. What is -11*g(m) + 4*v(m)?\nAnswer: m**3 - 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/32)\/((-183)\/244).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209840 at least as big as 7209860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 8:20 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 26171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 y, and 1 u when four letters picked without replacement from luuyyulynudnluul?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1462*j*k**2*w + 10*j*k**2 + 7*j*k*w + 131*j*k + 25*j*w - 63*k**2*w + 15*k*w wrt k?\nAnswer: -2924*j*w + 20*j - 126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1077*m**2. Let b(q) = 2*q**2. Determine b(i(v)).\nAnswer: 2319858*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*z - 0. Suppose z*n = 27 + 97. Let b(v) = -v + 3. What is the remainder when n is divided by b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 27894*i**3 - 27878*i**3 - i - 28 - 16 to the form x*i**3 + m*i**2 + t*i + p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -2*z + 4*z. Let w = z - -127. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d + 4. Suppose d*h - 12 = 2*h. Solve 0 = i - h*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1227 (b) 0.26 (c) -0.1 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184180025.\nAnswer: 5, 109, 67589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77066*c**5 - 2*c**2 - 48*c + 565 wrt c.\nAnswer: -1541320*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 + 387 = 40961*k - 40901*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -3*w**5\/5 - 7*w**3 - 7. Find the third derivative of i(y) wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -9*s**5\/4 - 519*s**4 + 2219*s**3\/4 + 415085*s**2\/2 + 138100*s + 23000 = 0?\nAnswer: -230, -20, -1\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(12) - (sqrt(12) - sqrt(588)))\/sqrt(6) - (sqrt(14) + sqrt(98)\/sqrt(7)*2)\/sqrt(7))**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 + v + 6. What is z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b + 11. Let m be 8 + 20\/(-4) + 2. What is the tens digit of h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245004.\nAnswer: 2, 3, 17, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1977 - 2580.962\nAnswer: -2580.7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s + 20*s + 918 = 0. Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5318*y - 1571*y - 60925 + 304480 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436678?\nAnswer: 2, 11, 23, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let i = -19 + 19. Let n(c) be the second derivative of c + 1\/6*c**3 + i + 0*c**2. Give l(n(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 43 = 0. Let n = p + 23. What are the prime factors of (4 + 28\/(-8))*n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v**3 - 16*v**3 + 26*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1219020 and 166230?\nAnswer: 3657060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 - 2.6. What is the fourth smallest value in c, 0.1, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 50 = 29*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68693 and 730?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2842*v + 84 = 5676*v - 2841*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (369 - 22*v - 369)*(4*v**4 - 5*v**3 + 5*v**3 + 0*v - v**4 + 0*v + (-v**2 + 3*v**2 - 4*v**2)*(2*v**2 - 4*v**2 - 5*v**2)).\nAnswer: -374*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -5, 0, -626 in ascending order.\nAnswer: -626, -5, 0, 83","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + -1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 - -0.17. Let m = 7351.430003 - 7351.4. Let d = m - h. Round d to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 97. Let d be p(-26). Suppose 3*y + 8 - d = -2*r, 0 = y - 1. Solve r*v + 6 - 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -176*h - 1. Let w(j) = 351*j + 2. Give 5*g(b) + 2*w(b).\nAnswer: -178*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -374.752676759 + 249.052675398. Let y = 125.7 + a. Round y to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (80\/(-6))\/((-9)\/27). Let w(q) = -32*q + 8. Let k be w(-6). Calculate the greatest common divisor of k and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 51, -10160, 1 in descending order.\nAnswer: 51, 1, 0, -10160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40115b (base 13) to base 7.\nAnswer: -15434032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*g + 30, -g = 5*c + g - 60. Solve 0 = q + 3*y - c - 4, -4*q - y + 23 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 23*l = 13*l - 16, 0 = 2*l + 12. Put -1, 8, 2, 3, q in descending order.\nAnswer: q, 8, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) + (sqrt(160)*-1 - sqrt(160))*5)\/(sqrt(162)*-1*3 - sqrt(162)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18629*x + 3409123. Calculate j(183).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -7. Let j = -9 - -13. Suppose -101 = -2*a - 2*a + s, 68 = 2*a - j*s. Calculate the highest common factor of a and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.327875 micrograms to grams.\nAnswer: 0.000007327875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076221 is divided by 269054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t - 10*t + 32*t + t**3 + 48 + 62*t**2 - 10*t to p*t**2 + s*t**3 + y*t + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 0 (c) -2 (d) -1\/4 (e) -1227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -9. Find the second derivative of -26*f**3 + f - 2*f + j*f**3 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f + 45 = 5*a, -10 = f - 3*a. Let s be -2*(1 - (-10)\/(-4)). Solve s = p + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-w - 4*w + 4*w) - 6*w + 4*w + 0*w + w + 0*w - 2*w + (-2*w + w + 3*w)*(-1 + 1 + 2) + 2*w - w + 2*w - 3*w - 2*w - w - 3*w + 4*w + 0*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 5*l - 2. Let o be s(-4). Let x = -6 + 7. Suppose x = -2*i + 3. Put 0, o, i in decreasing order.\nAnswer: o, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-53)\/(-14098)*14)*(-8)\/(-1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -101?\nAnswer: -6\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 6825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 88.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205)*1 - -1*sqrt(45)*5)\/((sqrt(108) + (sqrt(108) - -2*sqrt(108))*5)\/sqrt(12)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0688 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6540 + 6584. Is q at least as big as 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/44 and -61\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*w = -32 + 2, -t + 18 = 4*w. Suppose 3*m = 2*i + 1, m + m - 4*i = -t. Suppose -m*l - l + 106 = 2*c, 3*l = 12. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 601*u**2 - 6*u + 5. List the prime factors of p(3).\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b + 20. Let s be a(6). Let l = s - -52. Find the second derivative of 10*u**2 + 4*u - u + l*u**2 + 6*u wrt u.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1207005532?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g**2 - g. Let q(j) = 17*j**2 + 5*j + 72. Let z(w) = -68*w**2 - 19*w - 276. Let t(v) = 23*q(v) + 6*z(v). Determine 3*t(i) + 4*u(i).\nAnswer: 17*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*p**2)*((6 + 0 + 3)*(-p - 4*p + 3*p) - 606*p - 2435 + 2435).\nAnswer: -1872*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5939*u = -5928*u - 11. What is the closest to 0.2 in u, 3, 5, -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1804 and 484\/(-10)*-6*(-9)\/(-432)?\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110221012 (base 3) in base 6?\nAnswer: -1520052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/88586 and 33\/20.\nAnswer: 885860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:42 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/13 + 9876*u**3\/13 + 118296*u**2\/13 + 354672*u\/13 = 0?\nAnswer: -4926, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + sqrt(68) + sqrt(68) + -2 + -2 + -2*sqrt(68) - -2*(sqrt(68) - ((sqrt(68) - sqrt(68)*3) + -4)))**2)*6.\nAnswer: 288*sqrt(17) + 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0411 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 149?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.132 + 2.032. What is the smallest value in 0.5, 4, 1\/4, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a millennium in years?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l + 7*l**2 + l + 11*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123957957953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h**2 + 3. Let r be i(0). Suppose -4*t = -q + 681, 0 = -5*q + 3*q - r*t + 1384. Let w = q + -11709\/17. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 118 - 178. Suppose 0 = -15*g + x*g + 25. Sort g, 3, -2 in increasing order.\nAnswer: -2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*l - 26 = -2*n - 81*l, -n - 5*l = -34 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1)**(-25))**(-2\/33))**(-1\/53) assuming r is positive.\nAnswer: r**(-50\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00417947447 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 + -380?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 40, 13, -32, -101, -200, -335, -512?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 5*z - 6*z + 27 - 3*z.\nAnswer: -4*z - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**3\/6 + 11*x**2\/2 - 2299*x. Suppose -4*y + 23 = -33. Give i(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1023 - 4983*y - 593 + 1842 + 187 wrt y.\nAnswer: -4983","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-266)\/9975*(-15)\/9.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -574 + 318. Let v = 252 + j. Put -12, -0.4, v, 2\/7 in descending order.\nAnswer: 2\/7, -0.4, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316199325 divided by -6119\nAnswer: -51675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 6. Let r be l(6). Let p = 1 - r. What is the highest common factor of p and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1285, -1293, -1299, -1303, -1305?\n\"Answer: x**2 - 11*x - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 24, 53, 106, 189, 308, 469, 678?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*2 - (23 + 16338\/(-630)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-70 + 2)\/(8 + -12). Suppose -953*a + 964*a = 16643. Calculate the greatest common divisor of c and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140*w - 149*w + 4*w**3 + 290*w + 1)*(241 - 317 - 393) to m*w**3 + d*w + r*w**2 + v and give d.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 861 and 2419.\nAnswer: 50799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - ((-2 - 21\/(-6)) + 0). Which is smaller: -0.02 or j?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 238 - 170 + 65*n**2 + 189*n**2 wrt n?\nAnswer: 508*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+285596241\nAnswer: 285596241.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 4*w**2 - w**2 + 10 - 23 - 297*w.\nAnswer: -5*w**2 - 297*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxy when three letters picked without replacement from bypprxxpprphr.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Suppose -190 + 166 = 6*a. What is the third smallest value in -1, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r + 2. Let p(y) = -7*y + 3. What is 5*b(d) - 6*p(d)?\nAnswer: 2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 2*r**3 - 9*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = 5*z, 4*z - 9 - 1 = -f. Solve 2 = 2*d + z*k, 0 = 2*d - 2*k - k + 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*f**3 + 215*f**2 + 5374*f - 2 wrt f.\nAnswer: -72*f + 430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/93 - -97\/186. Sort -3, i, 5, 0.28 in ascending order.\nAnswer: -3, 0.28, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1660 divide 13142220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 323\/6024 - 3\/251. Let n(y) be the third derivative of 0 + 4*y**2 + 0*y - 2\/3*y**3 - b*y**4. What is n(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3882 is divided by 1292.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -210234.\nAnswer: -105117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1155334*g**3 - 2225943 wrt g.\nAnswer: -3466002*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 8 = -6*o + 2*r, 0 = 5*o - r - 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236652071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhvkvhvhkvvhvvk. Give prob of picking 1 h and 3 v.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2233431*n. Let b(k) = 115*k. Give h(b(m)).\nAnswer: 256844565*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 45169699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 12. Suppose -30 = x + 2*x. Let o be v(x). Calculate the greatest common factor of 14 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(72) + 0))**2*1 + 5*(-4 + sqrt(72) + 1 + sqrt(72) - (sqrt(72) - (2 + sqrt(72) + -1))).\nAnswer: -36*sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4 - 1794*f**3 - 600666*f**2 - 89021878*f - 4929837660 = 0?\nAnswer: -270, -209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -159*m - 5. Let b(w) = 30369*w + 954. Let r(n) = 5*b(n) + 954*c(n). Let d(u) = 5*u**2 - 9. Give d(r(p)).\nAnswer: 126405*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 8, q: 5, a: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, 119, 511, 1267, 2507, 4351?\n\"Answer: 20*c**3 + 2*c**2 + 2*c - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005244 to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -121681 divided by 440\nAnswer: -121681\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 0)*(0*q + q - 3*q) - q - 4*q + 3*q + (-3*q + 3*q + q)*(-5 + 2 + 1) - q - 2*q + q - 9 + 9 - q + (-3 + 3 + q)*(-2 - 3 + 6).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 31724*m\/3 + 22551398.\nAnswer: 2*(m + 2539)*(m + 13323)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -17 + (22 - 22) + 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/15 - 3*v**4\/8 - v**3 + 2*v**2 - 2*v. Let y(c) be the first derivative of q(c). Is y(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222021 (base 3) to base 11.\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let c(k) = -12215*k + 15. Let s(x) = -18305*x + 24. Let g(r) = -8*c(r) + 5*s(r). Determine g(f(t)).\nAnswer: 6195*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 123, 140, 173, 228, 311, 428, 585?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 14*f. Let w(s) = -s**2 - s. Give c(q) + 5*w(q).\nAnswer: -q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/18949, 3\/8 in increasing order.\nAnswer: -2\/5, -1\/18949, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 0*l - 4*l - 2*l as h + i*l and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/84 + -5\/21. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 - 6231*p**2 + 31218*p - 24984 = 0. Calculate p.\nAnswer: -2082, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*m - 156*m - 2 + 152*m)*(-4 + 3 + 0).\nAnswer: -113*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let t = -15 - -5. Let g = t + 14. What is the second smallest value in g, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -22, -40, -56?\n\"Answer: x**2 - 23*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17722*d**4 - 17827242 wrt d?\nAnswer: -70888*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -983\/4 - -248. Find the common denominator of 109\/28 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 12:31 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2808\/9523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-57)\/(-24) + (-143)\/(-88). Suppose 3*i = 2*i + 5*t - 9, -19 = 4*i - 3*t. Let v be i*(2 + -1 + (-3)\/f). Solve -4 = q - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/((k**3*k)\/k)*k)\/k**3)\/(k**(-1))**(1\/29) assuming k is positive.\nAnswer: k**(-57\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2250 divided by -6\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1)**2 + (sqrt(240)\/sqrt(8))\/sqrt(10) + -2 + -3 + sqrt(18)\/(sqrt(42)\/sqrt(7)).\nAnswer: 26*sqrt(3) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)*a**10 assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8)*204\/(-255).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7382803.\nAnswer: 467, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13617 = 7*y + 85*y + 82*y + 93*y for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*r - 128 = -0*r, -3*u + 189 = 3*r. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 + 175. Calculate the smallest common multiple of 1*(1\/p)\/(1\/18) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, -1604, -4, 1 in ascending order.\nAnswer: -1604, -4, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 8 = 2*r, -4*o + 1 = -2*r + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 340, -58, -1092, -3080, -6340, -11190, -17948, -26932?\n\"Answer: -53*l**3 - 27*l + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 13 + 2*z - 13 + 2*z. Let r be h(18). Is 4 a factor of (-1 + 5\/r)*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 62111*h\/2 - 2082963.\nAnswer: (h - 62178)*(h + 67)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 177 = -13*p, -30*p - 37 = -5*z - 33*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*y + 3*d, -7*d + 13 = -y - 4*d. Let p(o) = -4925*o**3 + 2*o**2 + o + 1. Is p(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11490073 and -19.010035.\nAnswer: -11490092.010035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23196 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -467543 times -131\nAnswer: 61248133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 60*q + 542. Let p be k(-9). Find a, given that 0 - 2\/7*a**4 - 4\/7*a**3 + 2\/7*a**p + 4\/7*a = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56048831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -0.3.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -17*l - 187. What is y(-16)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 20, 33, 64, 119, 204, 325, 488?\n\"Answer: u**3 - 6*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 17}. What is prob of picking 1 w and 1 c?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 78*i**2 + 77*i + 204. What is r(-3)?\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(50) - (sqrt(8)*2)**2.\nAnswer: -32 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1211398999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3 + 9791780*m**2 + 4793937986625*m - 9587915140410 = 0.\nAnswer: -979179, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/42, 353, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 1097 (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7915.5 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyi when three letters picked without replacement from yyiiiii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 157810000 to the nearest one million.\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3880 and 114640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-150)\/(-35)*(-6 - (-1)\/(-1)). Let m = d + 38. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6456? (a) -0.6 (b) -5\/2 (c) 990 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -y - w, y - 106 = -39*w + 41*w. Calculate the least common multiple of 2 and y.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154 divided by -320\nAnswer: -77\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 14*w - 65 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2594 = -64*o - 1017 + 1559 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 4. Let z(l) = 2*l - 18. Let j be z(10). Let q(f) = -f**2 + 3. Let b(c) = j*x(c) + 3*q(c). Let a(w) = w**3 - 2*w**2 - w. What is a(m) - 2*b(m)?\nAnswer: m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(-4)\/6*-3. Suppose o - 4 = -5*h. Let s(j) = j**2 - 25*j - 85. Let a be s(28). Are h and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -869 - -818. Let h = 272898769.0000164 + -272898718. Let n = k + h. Round n to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499438457?\nAnswer: 7, 71348351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 11. Let g(f) = f**2 - 6*f + 8. Let x be g(u). Suppose 0 = -2*c - c + x. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1182)\/1970)\/(6\/10). Let o(w) = 1. Let l(j) = 3*j**2 - 2*j - 2. What is x*l(d) + 3*o(d)?\nAnswer: -3*d**2 + 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 264094 greater than 264094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 1059492.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 + -100*6\/(-24) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 0 + 0 + (64*o - 48*o - 36*o)*(-45 + 96 - 28) to a + y*o and give y.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176314 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l + 160 = 0. Suppose l = -d + 6*d. Suppose -r + 5*f = -d, 2 = f + 4. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from dksssskksd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*h**4 - 392*h**3 + 34*h**2 - 236761*h.\nAnswer: -660*h**2 - 2352*h + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, 0, 0.3, -4, 15901?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120230303 + -110?\nAnswer: 1120230133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50 + 50 - 21*z + (-z + 2 - 2)*(1 + 3 - 6) + 0*z - z + 2*z + 2*z - z + 0*z.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1033962944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**3 - 6080*h**2 + 2*h + 42977 wrt h?\nAnswer: 9*h**2 - 12160*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.107 (b) -0.1 (c) 3 (d) -0.4 (e) 1\/7 (f) -1\/113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*r**2 + 33 - 33 + 419*r**2 - 1260*r**2 + 424*r**2.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721 + 716 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2395*x + 52705. What is d(-22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(1\/3)*f)\/f)**(-5\/6)\/(f\/(f\/(f\/(f**(-3\/13)*f)))*((f\/(f\/f**(4\/3)))\/f)\/f) assuming f is positive.\nAnswer: f**(-79\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**2 - 24*m - 8.\nAnswer: -2*(m + 2)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 56*n - 1063. Let g be o(19). Solve g = w - 4, 30 = -5*z + 3*w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndndnauaanr. What is prob of picking 1 u, 2 n, and 1 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Let d(g) be the first derivative of -1 + 1\/27*g**6 + 0*g + 2\/45*g**5 + 0*g**2 - 2\/27*g**l - 1\/18*g**4. Let d(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 95c6c + 231?\nAnswer: 961a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11000*c + 84 = -11021*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(6\/10 + (-2544)\/265)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1115 in 17, -1.3, 1\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2526985 and 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49076187 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -722343 - 116?\nAnswer: -722461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-32)*8 + (0 - 2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 771 + -530. What are the prime factors of k?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 14, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**6 - 2*a**4 - 2167*a**3 + 7*a**2 + 2*a - 18979?\nAnswer: -240*a**3 - 48*a - 13002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 234043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5 + 1 + 4*s + s + s**2 - 1. Let y be x(-5). Let t = y + 8. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2 and 4\/(-6) - (-371)\/42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*n**2 - i*n*v - 20965507*i*v**2 - 2*n**2*v**2 + 8*n**2 - 2*v**2 + 951091 wrt i.\nAnswer: -2*n**2 - n*v - 20965507*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 25 = 11*f, -4*w - 5*f + 21 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6255*l*o*u*y + 99*l*o + 445*l*y - 4*o*u*y - o*y + u*y + 1 wrt u?\nAnswer: 6255*l*o*y - 4*o*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 2 c when four letters picked without replacement from xcwoxcxwwxowoxxwxxxx?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-60)*-5*67\/(-9045).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 453 = -6*c - 3*k, -4*c - 5*k + 901 = 0. Let m = 269 - c. Solve 4*z + 6*z = -m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m - 91*m - 6*m - 8*m**2 + 112*m.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2131569, 2131688, 2131807, 2131926, 2132045, 2132164?\n\"Answer: 119*j + 2131450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 439*b**3 + 20*b**3 + 86*b**3 + 28*b**3 - 3 in the form p*b**2 + s + g*b + w*b**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130953.9 rounded to the nearest one hundred?\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:29 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 12230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -37, -64, -97, -136?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311, 298, 287, 278, 271, 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.0699\nAnswer: 0.0699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -177*o**3 - 62 + 17 - 158*o**3 wrt o.\nAnswer: -1005*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(2814\/(-105))*2\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -44*o - 7. Let s be l(-2). Let h = 89 - s. Solve -2*v + h = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 224208 = -110*d. Is -2075 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -157, -241, -325, -409, -493?\n\"Answer: -84*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*s - 575 - 625. What is the greatest common divisor of s and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsr when three letters picked without replacement from sgrsgrrgtgggrrgg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvavvavvs. Give prob of sequence vasa.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-3\/25)\/(r\/((r*(r**(-2\/7)\/r)\/r*r*r*r*r*r)\/r))**(-9\/2))\/((r**2)**(-10))**(-42) assuming r is positive.\nAnswer: r**(-5934\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 2245154?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 25 = 5*v, -5*f + 2*v + 0*v + 10 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 48339.7 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/9))\/u)**41*(u**4*u)\/(((u*u\/(u\/u**(-4\/7)))\/u)\/u) assuming u is positive.\nAnswer: u**(-160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*q - 18*f = 382*q + 50, -5*q - 19 = 3*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-60)*(-3)\/2*235. Let b = f + -103. Let m = b - 77. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 498, 455, 414, 375, 338?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 17. Determine i(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218119904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/((-3)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3775708 rounded to 2 dps?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*f = -0*f - 12, 0 = y + 4*f - 8. Suppose -y*c - 9 - 3 = 0. Let z(v) = 2*v. Let r(o) = -3*o. Give c*r(k) - 5*z(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b08 (base 14) in base 11?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - j - 1. Let h(n) = 6*n**2 + 4*n + 1. Suppose -5*c + x + 25 - 3 = 0, 2*c + 2 = 4*x. Let a(u) = c*o(u) + h(u). Determine a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82860 (base 11) to base 3\nAnswer: 20010201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - 48. Let f = u - -1. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 54. Let b be (48\/i)\/((-1)\/5). Let y be (-118)\/b + 3\/12. What is the greatest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 - j + 3*j + 2*j**2 + (2 - 1 + 1)*(3*j**2 - 10*j**2 - 40*j**2) to r + y*j**2 + i*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t + 8. Let p = 14 - t. Calculate the highest common factor of 128 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 3. Let w be v(-2). Let f be (w - 3) + 2 - -4. Suppose -9276 = -4*s + 2*l, -3*s + 7603 = f*l + 668. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 h when four letters picked without replacement from {a: 6, h: 4, z: 5, u: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 4*m**2 + 9*m - 18. Give c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 7:53 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 56*u - 52*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 1\/8*w**4 - 1\/6*w**3 + 1\/10*w**5 - 1\/4*w**2 - 3 + 0*w. Let s(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3566 take away -0.3?\nAnswer: -10.0566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/3 + 3*h**2 - 7*h - 5. Let v be z(-7). Let y = 10 + v. Calculate the greatest common divisor of y and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23535034?\nAnswer: 2, 19, 37, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.0344 nanometers in meters?\nAnswer: 0.0000002280344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**5 - 55*g**4 - 210*g**3 - 320*g**2 - 160*g = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 398.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/3))**(6\/13))**(8\/5))**(-32) assuming x is positive.\nAnswer: x**(-512\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 143\/26 - (-1)\/2. Solve 11*y + a = 9*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/3 + 3890*o**2 - 348508*o\/3 + 402480 = 0. Calculate o.\nAnswer: 4, 26, 5805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 2, s: 6, k: 7, h: 1}. What is prob of sequence ffs?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-4) - 6)\/((-60)\/(-150))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -24, -4, -0.2, -0.5, 1640?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2537420 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6. Suppose -5*h - 2*j + 28 + 30 = d, 5*j + 5 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 1)\/(-12)*-6. Suppose -4*p = -5*c + 1765, q*c + 2*c - 1412 = -5*p. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1177 - -2037. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -487 - -488. Solve -3*p - 2*z = u, 2*z + 15 = -z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 376, 415, 466, 535, 628, 751, 910, 1111?\n\"Answer: g**3 + 32*g + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let t be n(-6). Suppose 2*v + t = 44. Let j = -10 + v. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.326 or 1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*m**3*z**3 - 91*m**3 - 5*z**3 + 2 wrt z?\nAnswer: 45*m**3*z**2 - 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 504 = -513 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9844439 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from fufuugmiiumluflulmf?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/266509 and 18\/2743475?\nAnswer: 46639075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofno when four letters picked without replacement from npngoynfonnff?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Which is the third smallest value? (a) -5 (b) l (c) 3\/11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -49.\nAnswer: -9\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by -2880?\nAnswer: 25\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*x = 120*x - 3640 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 5*c**4\/9 - 988*c**3\/27 + 196*c**2\/9 + 231. Factor z(t).\nAnswer: 4*t*(t - 49)*(5*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -904 + 926 - 10*z**2 + 37*z**2 wrt z.\nAnswer: 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5 - 3 + 39*b**2 - 2. Let d(j) be the second derivative of 0 - 75*j + 0*j**2 - 1\/6*j**3. What is c(d(t))?\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -287434003480 plus 46?\nAnswer: -287434003434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7943 - -7965. What is the greatest common factor of 143 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 33*a - 45. Let r be i(27). Suppose 111*w = r*w. Sort w, -2, -6 in ascending order.\nAnswer: -6, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*l = -5, -3*k + 5*l + 0*l = 5. Is k not equal to -8\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -2. 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: Let q = -71\/3 - -23. Let v be 0 + (7 - -1)\/(-4). Which is the closest to v? (a) 0 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h + 179. Let r be y(16). Solve -4*z - r = -7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-63) - (78\/(-117) - 7\/((-63)\/4)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -690 in 4, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 147850 - 147850 + 0*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 7218010*a + 2604983418005.\nAnswer: 5*(a - 721801)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4, 3*u - 555 = -5*a + 137. Let f = 35 - 50. Let g be 0 - ((-3)\/5 - u\/f). Round g to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9502a (base 12) to base 15\nAnswer: 3cced","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f + 62*f = 0. Factor f - 4\/3*a**2 + 4\/3*a.\nAnswer: -4*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0 - 2\/3*s**3 - 15\/2*s**2 + 173\/12*s**4 - 231*s. What is the second derivative of f(a) wrt a?\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 - i**2 + i**2 + (0*i**2 - 2*i**2 - 2*i**2 - 380*i**2 + 101*i**2 + 188*i**2 + (-2 + 4 - 1)*(-2*i**2 + 1 - 1))*(6*i - 2*i + 0*i).\nAnswer: -392*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 84*d**3 - 4*d**2 - 84*d = 0. What is d?\nAnswer: -21, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-345)*((-1050)\/(-9))\/7.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18237554, 18237552, 18237550, 18237548, 18237546?\nAnswer: 18237544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -227, -234, -167, -20, 213, 538, 961?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - 2 - 2*h)*(7*h + 0*h + h + (2 + 1 - 4)*(-4 + 4 + 2*h)).\nAnswer: 6*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9028*z**3 + 12*z**2 - 106297*z wrt z.\nAnswer: -54168*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23317, 5, -2.\nAnswer: -2, 5, 23317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.5 + 7. Let o = 0.6 - s. Let r = 1 - 0.6. Which is the smallest value? (a) 1\/5 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 3*z + z - 255 - 115.\nAnswer: -2*z**2 - 2*z - 370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b*b*b\/(b*b\/(b**(-1\/30)\/b))*b)\/b)\/b**14*(b*b*b**(1\/23))\/(((b*b*b\/((b*b\/((b*(b\/(b**(4\/9)*b))\/b)\/b)*b)\/b))\/b)\/b))**(2\/63) assuming b is positive.\nAnswer: b**(-15619\/65205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 2, b: 1, d: 1, v: 2}. Give prob of sequence bt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 + -131. Solve -2*v + 22 = -0*v + 5*d, 9 = v + g*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = z - 12, 2*z + a - 4 = 0. Suppose -2*n + z*n = -8. Suppose -5*i + 395 = -p, 4*p = n*i - 5*i + 79. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 + 111*z - 72*z + 0*z**2 - 2*z**2 to v*z**2 + s + x*z and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4332 + 2?\nAnswer: -4330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 - -4.3. Let q = -10 + 8. Which is the nearest to -3\/5? (a) v (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202424, 404845, 607266, 809687?\nAnswer: 1012108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -63 - 13. Suppose 9*a - 6*a = 45. Suppose a*y = h*y - 224. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = -m. Solve r = -r + m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 57\/2. Is -6 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 5*j + 5*s, -4*j + 36*s + 76 = 28*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*h**2 + 488*h**2 - 267*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11963498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2) + -2)*18. Let b be (c\/(-12))\/(9\/48). Suppose 0 = -b*q - 6*q + 370. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 10*n + 18. Let d be l(10). Suppose 3*c + 0 = d. Calculate the greatest common divisor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -413452569 to the nearest 1000000.\nAnswer: -413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10040554 (base 6) to base 5\nAnswer: -33112314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/(644\/(-80) - -8). Suppose 16 + 28 = 3*s - u*l, -l + 74 = 3*s. Suppose -1500 = 13*x - s*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)*d**(-21)*d*d*d\/(d*d*d**(-1\/41))*d*d\/(d\/(d**(-4\/17)\/d*d)) assuming d is positive.\nAnswer: d**(-20360\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*p = -1114*p + 4608 + 5768 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let q(v) = -14 - 7*v - 2*v + 14. Give q(h(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9483, -9487, -9491, -9495?\n\"Answer: -4*f - 9479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*h - 108 - 153 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:08 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((40\/5)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + s**2 + 3 + 0 + 3*s. Let u be t(0). Suppose a = -u*a + 4*h + 28, -20 = -3*a + 2*h. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39544518919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58779, -63143, -67517, -71907, -76319, -80759, -85233, -89747?\nAnswer: -94307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 10. Let w be n(-3). Suppose z = -3*b - 0*b + 232, -5*b + w*z + 394 = 0. Calculate the remainder when b is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:47 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 2482?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/270?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123.03 - 54.39. Round b to zero decimal places.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w. Suppose w*z - 2*z - 4 = 0. Let g be (z + 0)\/(12\/(-150)). Solve -4*x = g - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 189\/14*(-4)\/(-3). Let g be (b\/(-3))\/(-3) - 2. Let r = 3 - 3.1. What is the closest to r in 4, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 + 3*n**2 + 5*n + 6. Let x(b) = -7*b**3 - 4*b**2 - 6*b - 7. Let a be -1*4\/6*492\/82. Calculate a*t(u) - 3*x(u).\nAnswer: -7*u**3 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167*312.\nAnswer: 52104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136962 and 1116.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 135, 294, 505, 762, 1059, 1390, 1749?\nAnswer: 2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 4:11 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.22116.\nAnswer: -0.44232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.822 + 0.75. Let k = -0.165 - u. Let n = 0.09300035 + k. Round n to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*d = 64, 26 = 2*w + 3*d - 15. Solve -6 = 2*k - o, -4*k + 0*o - w = 2*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 617 (b) -0.01195 (c) -1\/2 (d) 0 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, -47, -109, -149, -161, -139?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.094 + -0.106. Which is the third smallest value? (a) 2\/11 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + -4*1*(sqrt(363) - (1 + sqrt(363))))*-4*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:22 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11539, -3, -4, -39 in decreasing order.\nAnswer: 11539, 3, -3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13133 (base 14) to base 7\nAnswer: 253463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.7 - -33. Let f = 1.3 - u. Let j = 10 - 10. What is the smallest value in 3\/5, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51790 is divided by 556?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 67 = -2*k, -3*p - 47 = -0*k - k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*b + 23 = 0, b = -103*t + 105*t - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 308*g**3 + 544*g**2 + 9920*g - 29184.\nAnswer: 2*(g - 152)*(g - 4)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j*s*z + 1301*j*s - 4*j + 4359702*s*z + 94*s + 9 wrt z.\nAnswer: -3*j*s + 4359702*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4334, -9648, -14962, -20276, -25590?\n\"Answer: -5314*l + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2, -4, -59, -20, -12 in increasing order.\nAnswer: -59, -20, -12, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -5*y**4 + y**3\/3 + y**2\/2 - 18. Calculate n(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = 2*k + 13, 0 = -4*q + 3*k + 17. Suppose 8*j + 17 = 4*j + q*a, 9 = -3*j + 3*a. Solve 8 = c - j*u - 0*u, 0 = 4*c - 3*u - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s - 91781041 = -1017841. Round s to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1606493 is divided by 790?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 6 + 1 + (4 + 3 + -9 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + (-4 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 17761?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 + -1)*(-1)\/(-9))\/(10\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.051? (a) -4\/5 (b) 4\/3 (c) -10 (d) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106103.\nAnswer: 106103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -341*q**3*u - 123154*q**3 + q*u - 11*q - 36*u**3 wrt u?\nAnswer: -341*q**3 + q - 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 1:54 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47163701 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419814 divided by -8?\nAnswer: -209907\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18531.\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/120)\/((-14)\/16))\/((-24)\/(-3))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12016 and 7099954?\nAnswer: 56799632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 2596.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -68. Suppose -3*b - 11 = 5*w - q, -25 = -5*b - w. What is the remainder when 18 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z**2 + 8 - 8 + 6*z**5 wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34556 and 489?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5958?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 39424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (63\/(-315))\/(((-4)\/60)\/1). Let i(m) = 4*m + 1. Let w be i(1). Let p(y) = 2*y**2 - 4*y**2 + w*y**2 + 2 - y - y**3. Determine p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2. Let b(j) = j**2 - 1. Let q(a) = b(a) + l(a). Let g(k) be the first derivative of q(k). Let d(f) = f**2. Calculate d(g(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 398*i**2 + 1728*i + 244605. Determine k(392).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/5)*c\/(c*c**21)*(c**(-1\/5))**(1\/44) assuming c is positive.\nAnswer: c**(-4533\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/3, 0.8147, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4145\/4 + 1030. What is the common denominator of d and (-2286)\/(-240) - 4\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 = 3*r + 3, -3*r = -4*n + 3. Suppose 12 = 2*w + w. Let t = w - n. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 40. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -27. Let i be 1\/3 + h\/(-6). Is 7 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f**3 + 4*f**2 + 4*f. Let q be z(-1). Suppose 4*k = -12, -5*u + 9 = 2*k - 0*k. Solve -3*n - q = u*b, -20 = -b + 2*b + 4*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 12:01 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -125. Let o(y) = -10*y. What is o(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4367665252 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -m - 6*k, -m + 520 = 2*k + 169 + 197 + 242 for m.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 17 - (-3 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*2 - sqrt(99) - 4*(sqrt(99) + -1))**2.\nAnswer: -72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + d**3 + 14*d**3 - 19*d**3 + 47*d**2 + 0 to the form p*d**2 + o*d + k + v*d**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -16.36. Let j = -191.36 - -196. Let t = k + j. Put -2\/5, t, -3 in ascending order.\nAnswer: -3, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n - 5*n)*(-6*n + 4*n + 0*n) + (0*n - 2*n + n)*(-n + 3*n + 0*n) - 2 + 2 + n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/84 - 5*j**3\/21 - 58*j. Factor z(g).\nAnswer: -g*(g + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42446 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9))**(1\/6)\/(i*i**(-6\/7)\/i*i\/((i**(-2)\/i)\/i)) assuming i is positive.\nAnswer: i**(-790\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/15))\/((c*c*c**(1\/6))\/c*c)*c**(-7\/4)*c**(-6)*c assuming c is positive.\nAnswer: c**(-141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:05 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l - 8 = 41*l. Let p be -32*(l - (-3 - 0)). What is the first derivative of 26 - p*b**3 + 3*b**2 + 7*b**2 - 10*b**2 wrt b?\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5255849 >= -5255849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 146 - 72 - 68 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*j + 4*j - 2*j)*(-2*j**2 - 2*j**2 + 5*j**2) + (-3*j**2 + 4*j**2 - 3*j**2)*(3*j - 4*j + 3*j))*(4*j + 5*j - 5*j)*(-2 + 5 - 1).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 - 1\/(-3). Suppose k = -2*i - 0*i + 42. Suppose -i = -2*p + 49. Calculate the highest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 84\/(-30) - (-2)\/1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:23 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 72. Let m be 4 + -9 + 6 + 2\/d. Solve 3*t - 6 = 0, 5*t = m*o - 4*o + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 548610?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 36. Suppose -16*r + 21*r = j. Solve l - 3 = -r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - k + 5)*(3*k**3 - 837*k + 837*k + (-2 + 2*k + 2)*(-k**2 + 2 - 2)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let r be 1349997 - 1\/(y\/3). Round r to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452958931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3*q - 14, 3*c + 46 = 2*q + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 4*u**2 - 40*u + 1. What is the remainder when 46 is divided by v(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 1674, 3699, 6524, 10143, 14550, 19739, 25704?\nAnswer: 32439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 139. Let y(s) = 6*s - 3. Let f be y(4). Suppose 2*l - 5*l = -f. What is the remainder when l is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/7)*n\/(n*n\/n**(-1\/5)*n)*(n**1)**(-1\/3) assuming n is positive.\nAnswer: n**(-251\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5650?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + b = 993, -5*b = -3*b - 6. Is 16 a factor of p\/(-4)*2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i + 27. Let u be (7 + -7)\/((-2)\/4*4). Let h be s(u). Calculate the highest common factor of h and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(3\/4)*x)*x)*x**(2\/3))\/((((x\/((x\/x**(1\/4))\/x))\/x)\/x)\/x**(5\/3)) assuming x is positive.\nAnswer: x**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30899, -123192, -277005, -492332, -769167?\n\"Answer: l**3 - 30766*l**2 - 2*l - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*o**6 - 57*o**5 + 209*o**3 - 109997*o**2 + 81?\nAnswer: 12840*o**3 - 3420*o**2 + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.2027 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*o - 21, 2*r - o - 9 + 1 = 0. Suppose 0*p = r*p. Differentiate p + 2 + 8*a**3 - 9*a**3 with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6792)\/12735)\/(4\/(-48)).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 579\/2? (a) 0.2 (b) 279 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -21424969 bigger than -21424969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1210*m - 4*m**4 - 2419*m + 1212*m + 2*m**3 + 6 as f + k*m**3 + d*m**4 + j*m**2 + q*m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(1920) + sqrt(1920))\/(sqrt(640) + sqrt(640) + sqrt(640) + -1*sqrt(640)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*j, -804*j + 803*j = 3*u. Solve u*s + 9\/4*s**4 + 1\/4*s**2 - 3\/2*s**3 + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 27*p**2 + 35*p - 6. Does 14 divide o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from rrrrlelxy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b835a0 (base 14) to base 13.\nAnswer: -13a2c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(8)*-2 - (sqrt(80)*-2 - sqrt(80)))\/(sqrt(588)\/sqrt(3) + 6*sqrt(4)*4).\nAnswer: 4*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111 + 13332330000?\nAnswer: 13332332111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 1\/3 (c) 0.33 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 265085 + 37825 = -26*i. List the prime factors of i.\nAnswer: 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16502135 + -1?\nAnswer: -16502136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(68)*-2*-6)*-4 - (-2*sqrt(68) + -2 + (sqrt(68) + 3)*-1))**2.\nAnswer: 2700*sqrt(17) + 137925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314 + -311. Let v(f) be the third derivative of 1\/12*f**4 - f**2 + 0*f**w + 0 + 0*f + 0*f**5 + 1\/15*f**6. Find the second derivative of v(m) wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5 + 275*z**4 - 4070*z**3 + 650*z**2 + 176875*z + 171875 = 0 for z.\nAnswer: -5, -1, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/20 - 5*d**4\/12 - 5*d**3\/6 - 3*d**2\/2 + 23*d. What is b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105*-2619\nAnswer: -274995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6 + 2*a - 3*a + 2*a. Let x = 30948 + -30954. Calculate k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1828 = 5*w + 1237. Let o = 730 + w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6. Suppose q*n = 3*n + 1380000. Round n to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 129 - (24 - (-49 - (-122 - -45)))\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 24*u.\nAnswer: 2*u*(u - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2, 17, 48, 95, 158, 237, 332?\n\"Answer: 8*d**2 - 9*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*d**5 - 16*d**4 + 1076*d**2 - 1409677*d wrt d.\nAnswer: 480*d**3 - 192*d**2 + 2152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -6. Let w = 0.5 - 1.8. Let d = w + 1.4. What is the second smallest value in r, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/(-62)*1\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t + 3*h, -5*t + 0*h + h + 10 = 0. What are the prime factors of (-11)\/(-2)*(0 + t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216505\/124 + 1746. Find the common denominator of z and 21\/4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (14 - -4) + -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/120 - 5*a**4\/12 + 3*a**3 + 95*a**2. Let i(t) be the first derivative of u(t). Calculate i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 v when three letters picked without replacement from vvvvvzvvvvvvv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o - 12. Let l = -35 - -28. What is the units digit of d(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 173.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3803616 and 2872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822\/14 + 26\/91.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69726.1 kilometers to millimeters.\nAnswer: 69726100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4324 = 3*y - 1547. Let w = y - 9833\/5. What is the common denominator of -5\/9 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0.1, -4 in increasing order.\nAnswer: -4, 0.1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1800, 3597, 5394, 7191?\n\"Answer: 1797*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-5 + 10 + 9)*(87*u - u**5 - 87*u + u**4).\nAnswer: -14*u**5 + 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 22429200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/10 - t**4\/4 + t**3\/3 - 2*t**2 - 2*t. Calculate the remainder when m(3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2 - -1*sqrt(2736))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 146 (base 10) to base 3\nAnswer: 12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384650 is divided by 307?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24150)\/40 + (-2)\/8. Let h = o + 6419. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52407 is divided by 3322.\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*d**3 - 1178746*d + 1178746*d.\nAnswer: 126*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/19800 and -67\/165.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -4. Let s = 5 + m. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)**(-2\/97)*p**8*p*p*p**0\/p)**(-33) assuming p is positive.\nAnswer: p**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 120 = -18*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 299, 596, 1009?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155028783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/401 in -1, -4\/11, -0.5, -370, 2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.492 and -76083.\nAnswer: -76082.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-3)\/3)\/1. Let s = 282 - 301. Calculate the common denominator of s and w\/((-57)\/21 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c - 0*c + 68. Let r be 14 - (c - (-4)\/(12\/(-21))). Suppose r*l + 168 = 20*l. Calculate the greatest common divisor of l and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -13. Suppose -3*g - p = -t - 18, g = -p + 15. Suppose g*l - 10 = -0*l. Is 1\/15 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 3*u**2 + 3*u + 16. Let i be z(0). Let v = 18 + -16. Suppose -5*m - v*s - 2*s = -121, i = 4*s. What is the remainder when 83 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4386.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 13*q**2 + 12*q - 2. Let t be m(13). Let w(z) = z**2 + z**3 - t - 7*z**2 + 161. Give w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 2*z + 3. Let i be h(-2). Let n = -41.9 + 37. Let d = -5 - n. What is the smallest value in 3, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15084 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(5\/6)*c)\/c)**(3\/14)*(c**(-1\/21))**(-12) assuming c is positive.\nAnswer: c**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1872216, 1871853, 1871490, 1871127, 1870764?\n\"Answer: -363*r + 1872579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t + 0*t)*(-2 - 2*t + 2 + (-3 - 2 + 3)*(-t - 4*t + 3*t) + 3*t + 2*t - 3*t + 0*t + 4*t - 2*t - 4*t - 4*t + 6*t + t - 2*t + 3*t + 4*t + t + t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*l = -178*l + 210 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -3457*f**5\/20 + 104*f**2 + 2352*f. What is the derivative of o(l) wrt l?\nAnswer: -10371*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(sqrt(2448) + 2 + -4 - (sqrt(2448) - -2*sqrt(2448)*-5)) + -1)**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8026973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1259, -1254, -1229, -1166, -1047, -854, -569, -174?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*2\/40*(-60)\/(-1035)*69?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - -30. Let i = x - 115.0173. Round i to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247587 is divided by 543.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -281*4\/252 - (-633)\/(-1477)?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4010 - -3?\nAnswer: -4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 7092.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2731*q**3 + 78*q + 5. Let k(b) = -5461*b**3 - 169*b - 11. Calculate 6*k(c) + 13*y(c).\nAnswer: 2737*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**8\/26880 - y**6\/2880 + y**4\/3 - 4*y. Let v(o) be the third derivative of g(o). Factor v(i).\nAnswer: i*(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -4. Let x = -6 - b. Let f be 10\/3 - 2\/x. Solve f*h = 4*s + 10 - 2, 3*h - 2 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3\/536, -1\/3?\nAnswer: -3\/536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 148 = j. Suppose 4*s - 20 = 0, j = 2*i + 2*s + 2*s. Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -755.\nAnswer: 3\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34722*v + 47482*v - 879*v + 4502*v.\nAnswer: 85827*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*t = 6*i + 25, -2*i - 13 = 3*t. Let f = -46.75 - -49.567. Let s = f + 0.183. What is the nearest to -0.2 in -1\/2, s, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 172028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.015768 * 5.\nAnswer: -0.07884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8259555 millennia to centuries.\nAnswer: 8.259555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126063887 is divided by 106.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 4}. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m + 21. Let u(c) = 5*c - 10. Let g(x) = -2*k(x) - 5*u(x). Let a be g(0). Solve t = -t + a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/17)*d)\/d*d)\/(d\/(d**14*d))*d**(1\/4)\/((d\/(d\/(d\/(d\/((d\/d**(3\/4))\/d)*d))))\/d*d) assuming d is positive.\nAnswer: d**(291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*f = 16, -8*x = -3*x + 2*f - 188. Suppose 0*i + 4*i = x. Suppose 3*s = -0*s - i. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-30))\/((-4)\/6)*14. Sort t, 2, 3 in decreasing order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2 and 41\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Suppose -j = 3*h + 3*u - 0*u, 3*h - 12 = 2*u. Suppose -5*i = -5*d, 3*i - h*d = 8*i. Solve i*z - 2 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20214115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(10\/(-10))*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 + 17*a - 10. Let o be z(5). What is the units digit of 2*(-5)\/o + 1012\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Let i = g - -16. Find the second derivative of -11*b - 4*b + 7*b**4 + i*b wrt b.\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 10113313?\nAnswer: -10113332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - h**4 + 4*h**2)*(-11 - 7 - 5).\nAnswer: 23*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -72, -194, -350, -540, -764?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8760 - 25660 = 191*m - 451*m for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2938 not equal to 37376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24729 rounded to the nearest one hundred?\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - p - 9 = 0, 2*p + 2*p - 3 = -5*z. Suppose -z*b - 45 = -4*b. What is the highest common divisor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132*(-13)\/(-3432)*3\/(189\/(-30))\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8642513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -2 (c) 0.1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1018, 869, 650, 361?\n\"Answer: -35*z**2 - 44*z + 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddhhddhddhhddmm?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 - 112. Suppose 12*z - y = 4*z. Suppose -12 - 423 = -z*d. List the prime factors of d.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81702 + 114907. What is the ten thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82426*o**4 - 45349?\nAnswer: -329704*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**4\/24 + 5*g**3\/6 + 3*g**2. Let a be f(5). Suppose 0 = 2*b + 2*b. Solve -4*j + 2*i - 10 = a, 4*j + b*i - i = -7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.2 (c) 3568\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310818532 to the power of 1\/3, to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-24)*2\/(-6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 6*j - 16. Let v be h(-7). Let w = v + -42. Let b be 130\/14 - (w - (-16)\/7). Solve 0 = 3*p - b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-188) + (-5975)\/134796?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:06 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-9) - (-10)\/15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289*p**5 + 2*p**4 - 363*p**3 + 16079*p**2 + 7?\nAnswer: 17340*p**2 + 48*p - 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujjuj. Give prob of picking 1 j and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 11 = 4*r, -31*j - 3*r + 9 = -36*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -2 + (0 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36275 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554474 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 2088078*m**3 + 4176168*m**2.\nAnswer: -3*m**2*(m - 696028)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547475869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(6\/15). Suppose -d - 11 = 3*d - u*m, -5*d + 30 = 5*m. Which is the second smallest value? (a) d (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125098 + 250199\/2. Let p = 233\/4 + -58. Sort u, 0.1, p, 8\/7 in descending order.\nAnswer: u, 8\/7, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-31 + 31 - (2 + -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71*64\nAnswer: 4544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 16*m**2 + 29*m + 18. Let a be r(-14). Suppose 2*i - 9 = -3*h, 0 = -h + a*h + 3. Solve g - 5*w = i, 2*g = 8*w - 4*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-28))\/(2\/(-28)). Let b be (u + 20)*2\/(-1). Let p = 23 - b. What is the remainder when 60 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.737392 days in microseconds?\nAnswer: 409310668800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6943\/6 <= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 54648600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2542*c**3 - 6106.\nAnswer: -7626*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 21*j - 11*j)*(-3 - 6*j + 3)*(2*j + 0*j + 0*j) to the form z*j**2 + l + w*j**3 + m*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - z = 92, 4 - 11 = -2*c - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1745 - 256?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4344 * -2.8\nAnswer: 1.21632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045 != 5017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g**2 + 4*g**2 + g**2)*(1 - 1 - 2*g**2) + 7*g**4 + g**4 - 2*g**4)*(g + 0*g - 3*g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o + 122*o + 504 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = -4. Let o(y) = -y - 5*y**3 + 1 + 5*y**3 + y**c - y**2. Calculate o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2347, 2360, 2369, 2374?\n\"Answer: -2*g**2 + 19*g + 2330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 9*f**2 + 13*f - 22. Let q be c(8). Are q and 67\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/12 + 3*x**3\/2 - 5*x**2 + 18*x. Is 10 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 2*c**2 - 3*c**2 + (0 + 1 - 2)*(8 + c**2 - 8).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270637 to the power of 1\/2, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96653, -193302, -289951, -386600, -483249, -579898?\nAnswer: -676547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15691 - -15708. Solve -3*v - 5*y + 3 - 6 = 0, -5*v - y = -w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + n + 20*n + 3 to i + b*n and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 474.2 + -477.2. Put 2, 3\/5, h in increasing order.\nAnswer: h, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -25, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 c when four letters picked without replacement from mmdmccmpcp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.2 + -12.2000097. What is x rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:59 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40103\/8 + -5001. Let z = u - -5\/8. Let l = 380 - 1918\/5. Calculate the common denominator of l and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/589985 and 99.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95887.12nm to millimeters.\nAnswer: 0.09588712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144913222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/((-5)\/(-50)*5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-8)\/10) - 0\/(-4). Suppose 2*m - 298 = -3*z + 48, 0 = a*z + 3*m - 577. Calculate the remainder when z is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 631170657 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 225764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 38*t + 59. Let v be j(9). Suppose -v = 205*i - 206*i. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (91\/26 - (-2)\/(-4))\/(-1). Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (40 - (-1)\/(-1))*44\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**6 - 486*o**4 - 55*o**2 + 5*o wrt o.\nAnswer: -360*o**3 - 11664*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 302\/(-453)*-255*7\/14?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 3259 = -1234. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1410.9999970055 - 1411. What is j rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = 4. Suppose -2*z + 11 = m. Solve z*o - 5*v = -40, -4*v + 0 = o - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - -6. Suppose g + f = -5*h - 0*g, -26 = h + 5*g. What is the tens digit of 35\/3*h\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10840.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11554864*h + 11554913*h + 5292 for h.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.067*5.\nAnswer: -0.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 497816416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(0 - 1 + 0)*(119 - 579 - 44) - 6 + 4 + 3 + (1 + 2 - 4)*(-1 + 1 + 2) - 1 + 1 + 1)*(3*z - 3*z**3 + 27*z**5 - 23*z**5 - z).\nAnswer: 2016*z**5 - 1512*z**3 + 1008*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-28)*(-772)\/(-7334)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n = -41*n + 5*j + 2271, 5*n + 2*j - 2880 = 0. Does 142 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/36*2)\/((-4)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132750 = 44*q + 81*q. Is 1061 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 - 18) + -9 - -36.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*b = -11, 3*u - 4*b = -7*b + 15. Let o(c) = 0*c + 3*c**2 - 2*c - 2 - c**3 + 4. Let l be o(u). Let n(k) = k - 2. Determine n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5023 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/293 (b) 42 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -24*(175\/(-28) + 6) - 2. Solve -i = 3*a + 5, -5*a - 2*i = 4 + n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320944171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099158?\nAnswer: 2, 23, 89, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011110111110 (base 2) in base 3?\nAnswer: -221012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 22*a - 3. Let y(c) = -2*c**3 - 11*c**2 + 26*c + 129. Let q be y(-6). Determine u(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544407.\nAnswer: 1544407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 4157824?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**5\/60 + 232*k**2 + 42. Let x(s) be the first derivative of 4*s**3\/3 + 1. Determine g(x(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103599 and 103599.\nAnswer: 103599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/((-108)\/(-3)))\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*p - 25 = 0, 0*z - 2*z - 3*p - 8 = 0. Suppose 0 = -28*n + 27*n + r + 6, 4*n + 8 = -4*r. Sort z, -2, 1, n.\nAnswer: z, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*t, -15*t = 2*z - 20*t - 21. Suppose 0 = -3*l - 0*l + z, l - 19 = 3*d. Which is greater: d or -29\/5?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 k when four letters picked without replacement from {x: 11, k: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85039658083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -86671584 divided by 21667896?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122122 (base 6) to base 15.\nAnswer: -3335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*g - 1939502 + 15108464 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -669 + 615.96. Let t = d + 50. Let c = 0.04 + t. Sort 5, c, -0.5 in descending order.\nAnswer: 5, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Suppose 0 = 4*s - 2*s - 2. Let l(m) = -s + 5 - 4 - 2*m. Give n(l(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42330.1953 + 439\nAnswer: 42769.1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -7 - (18 - 8) - (81 + 14 + -15).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 44*a**2 - 82*a - 34. Determine r(42).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02313 + 5.\nAnswer: 4.97687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-5)*8\/(-6). Let m be (-1)\/(2\/4) + (22 - 22). Sort w, 0, m in descending order.\nAnswer: w, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17705279.\nAnswer: 17, 613, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - (-80)\/30. Suppose 12 = 2*w + t*w. Suppose 21 = -w*n + 6*n. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780540802.\nAnswer: 2, 181, 211, 23311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. Let b(a) = a**2 + 6*a + 12. Let h be b(-2). Suppose -7*r - 4*y - h = -8*r, 0 = 5*r - 5*y - 35. What is the lowest common multiple of r and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 + 152*q**2 - 99*q - 48. Determine y(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68184 and 179964?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 13. Let s be v(-5). Sort s, 1\/3, 5.\nAnswer: s, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35 and -1357967?\nAnswer: 1357932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(28))**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmx when three letters picked without replacement from {m: 2, y: 2, x: 1, q: 7}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*r - 54*h**3*r - 2*h**3 + 1825*h**2 + 2*h*r wrt h?\nAnswer: 48*h*r - 324*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -35781\nAnswer: -107343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*w - 6 - 74*w + 3*w**2 + 3 to the form m + o*w + c*w**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 43*d + 48*d + 31, 4*l - 4*d = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - k + 56 = 0, -3*p - 32 = k - 0*k. Let i = p - -10. Let w be i\/7 - (-288)\/56. Solve -f + w = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let v(a) = -81*a. Calculate d(v(i)).\nAnswer: 162*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 2, a: 2, x: 6}. Give prob of sequence nxx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41b - 5?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 0.28. Let r = v + 0.4. Let z = -6 + 10. What is the third biggest value in z, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 2*p - 7. Let b be v(-2). Is 30 a factor of (-3)\/b + 5889\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-11)*(18 - (-3666)\/(-156))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32420*t**2 + 62748*t.\nAnswer: -64840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 3 + 3)*(18*u + 32*u + 9*u).\nAnswer: -59*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2. Let k(d) be the first derivative of -21*d**2\/2 + 1. Let l = 59 - 65. Let b(w) = 10*w. Let n(r) = l*k(r) - 13*b(r). Calculate n(q(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520904 is divided by 260438.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/11 - 10974*s**2\/11 - 20071446*s\/11 - 12236891578\/11.\nAnswer: -2*(s + 1829)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*x - 7 + 11, 3*x - 4*i + 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32586 - 12402 = 4*c. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9568.45763 - 21?\nAnswer: -9589.45763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -10. Let w = 5 + h. Let r = 0 - w. Put -1\/4, -0.4, r in increasing order.\nAnswer: -0.4, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056467.\nAnswer: 43, 79, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4591561921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-6 + (3 - (0 + -3) - 3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 64, 203, 468, 901, 1544, 2439, 3628?\nAnswer: 5153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 8, h: 4, z: 5}. What is prob of picking 1 j and 1 z?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2159, -3057, -4507, -6509?\nAnswer: -9063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 202, 214, 226?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15543*d**5 + 854688*d**4 - 3223209*d**3 + 3133956*d**2 + 36108*d = 0. What is d?\nAnswer: -59\/5181, 0, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20 - (-21)\/15. Let x = -14 + 13. Sort q, 0, x in increasing order.\nAnswer: x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m**2 + 49*m + 31. What is d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90365 and 30231465?\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Suppose 48 = t*p - 96. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = g + r, -g - 4*r = r - 23. Suppose 0*m - 9 = -g*m. Suppose 3*k + 3*z = z + 36, -36 = -3*k - m*z. Solve 2*n = -n + k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491040 divided by -528.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293*m**5 - 8*m**2 - 11*m wrt m?\nAnswer: -17580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20) - 7\/(-56)*4*12\/(-255).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3.96. Let o = 5.04 + x. What is the closest to 1\/2 in 4, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59498338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 64*k - 63*k - 2001 = 0, k = -l + 669. Calculate the highest common factor of 522 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110101 - -10?\nAnswer: 1110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -97 in ascending order.\nAnswer: -97, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 4*y + 5. Let s(z) = z**3 - 2*z. What is the lowest common multiple of s(2) and k(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 - 2) - (14 + -29) - -22.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 1820?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-945)\/(-6))\/(3311\/946).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/6*-8*(4 - 54\/12). Let o(q) be the third derivative of 1\/8*q**y - 1\/3*q**3 + 0*q + 0 + q**2 + 1\/60*q**5. What is o(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*r - 5 = -15, 0 = -3*r + 12. Suppose n*g = 6*g - 8. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -14*r**2 + 17*r + 17. Let m(q) = -5*q**2 + 6*q + 6. Let u be -4*6*((-14)\/(-8) - 2). What is u*y(z) - 17*m(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4088 divided by 5\nAnswer: -4088\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n**2 - 13*n**2 + 6*n**2. Let m be d(13). Let y(i) = 9*i + 0*i + m*i - 7*i. Let f(s) = -18*s. What is y(f(l))?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a - 2. Suppose -3*o = -5*u - 43, 27 = -4*u - 0*u - 5*o. Let r = u - -3. Is k(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 46173037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044*c + 56 = 1036*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.879 - -25.8. Round y to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534 + -239. Is b - (-8)\/(3 + (-3)\/3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18775*r**2*s**3 + r**2*s**2 + 3*r**2*s - 20*r**2 + 126*r*s**2 wrt s.\nAnswer: 112650*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*21\/14*(-361)\/76?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/782955 and -52\/3595?\nAnswer: 562944645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3575 and 441025.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205198 - 205120 = -13*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*1*10. Let k(o) = 4*o. Let t(l) = l. Let s(x) = p*k(x) + 15*t(x). Let w(m) = 2*m**2. Determine w(s(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 3444*z - 17223\/5.\nAnswer: 3*(z - 5741)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 3*j**5\/20 + j**4\/4 - j. Determine h so that d(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32505945881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 377.3 - 347. What is a rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 4*d - 16. Let m be f(-6). Let n be m\/2*-4 - -2. Solve -n = -0*s + 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*-0.9\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2059*p**5 - 2*p**3 + 3*p**2 + 21401*p + 2.\nAnswer: 41180*p**3 - 12*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 8, -2*w - 4 = -4*a + 26. Let l(q) = -q - 1. Let d(s) = -4*s - 11. Let h(u) = -d(u) + 3*l(u). Let f be h(w). Let v(x) = 6*x + 1. What is v(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.12 and 128.\nAnswer: 127.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/12)\/5)\/((-554)\/11080).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 11409956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-20)\/(9\/((-9)\/2)). Let r = f - -154. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcccshcs. What is prob of sequence shc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (7 - 1) + 29 + -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*h - 14783, 4*v - 1522 - 10300 = 2*h. Let g be (-16)\/(-2)*2\/v. Let y = g + -16294\/6651. What is the common denominator of -125\/6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. Suppose t = 3 + h. Solve 2*s = 8*c - 3*c - 10, -4*c + t = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177524 and 72.\nAnswer: 3195432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbrr when four letters picked without replacement from utururubuuwrbbuttwr.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 660.0882 to 1 dp.\nAnswer: 660.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fflffll. Give prob of sequence llf.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12439927, 12439921, 12439917, 12439915, 12439915, 12439917, 12439921?\n\"Answer: k**2 - 9*k + 12439935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(68)\/sqrt(4))**2*2.\nAnswer: -16*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/590 and -34\/649.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 32 - 7 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9628037?\nAnswer: 9628037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5328 is divided by 1763?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130589 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 0*c**2 + 0*c - 1\/22*c**4 + 65 - 76\/33*c**3. Solve k(h) = 0.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:22 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*d + 173*d + 142*d)*(-5*d + 1 - 4*d + 8*d).\nAnswer: -350*d**2 + 350*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234246371?\nAnswer: 37, 101, 62683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k = 24. Suppose -y + k = -2*g, -2*y + 12 = -4*g - 3*y. Let f be 3 + 5 + g + 0. What is the highest common divisor of f and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by (-3 - (-1 + (-183)\/6))*22\/33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15453 and -2.391.\nAnswer: 15450.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -48*f - 6*h + 6*h - 2*h - 3*h, 0 = 4*f + 11*h - 36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2359\/276 + 29\/46. Suppose 3*s - 202 - 113 = 0. Find the common denominator of 1546\/84 - (10 - 990\/s) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 27, 108, 253, 474, 783, 1192, 1713?\nAnswer: 2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from ejjetjejjettjjjet?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 + -77. Let b = 184.84 + -145.8. Let g = b - d. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18759.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*n - 1)*(0 + 2 - 1) + 32*n - 28*n - 49 - 7*n as h*n + c and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + -2*(sqrt(612) + 1) - (1 + (-1 + sqrt(612) + -4)**2 + sqrt(612)))*5.\nAnswer: -6440 + 420*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458601?\nAnswer: 3, 11, 13, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 204 = -172. What is the remainder when u is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:14 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7633 and -1.\nAnswer: 0.7633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370277 and 53176.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1 - 7 = 0. Let p be (-10 - -12) + (j - 30\/8). Which is the biggest value? (a) -1.7 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 2*z**2 - z + 5. Let o be r(0). Is 955\/(-4 + o) - (0 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*r**(2\/7)*(r**1)**44 assuming r is positive.\nAnswer: r**(310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1542*k + 874*k + 304*k - 1855*k.\nAnswer: -2219*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - u + 2)*(-2 + 0 + 0) - 5*u - 2 + 2.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001001101111110010100 (base 2) in base 16?\nAnswer: 64df94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -148, -2, 2 in descending order.\nAnswer: 3, 2, -2, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2816712649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, 3665, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2137313 to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31244*s - 2430 = 31325*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 168?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 78*w - 80. Let d be 6*4\/(-36)*-3. What is the remainder when p(d) is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -3\/5, -25, -25\/7 in descending order.\nAnswer: 89, -3\/5, -25\/7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3914736.\nAnswer: 2, 3, 7, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*(sqrt(208) + 0 + sqrt(208)) + (sqrt(208) + 3)*-3))**2.\nAnswer: 23328*sqrt(13) + 609444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3 - 117*w**2 - 1920*w - 5616 = 0?\nAnswer: -9, -4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20404 - 12*h - 20404 + 9*h**2 = 0 for h.\nAnswer: 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:06 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 - -5587a?\nAnswer: 55844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9009046 and 1590.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 3 + -2)\/(-3)*12. Let x be (-66)\/360 + (-1)\/g. Which is the nearest to x? (a) -3 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q + 128 = -12. Sort 1, -3, q, -2 in descending order.\nAnswer: 1, -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (1 - 3) - (-36 - -31)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.082, 1\/8, 4?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let i = 5 - v. Solve 5*u - 2 - 16 = -3*q, 4*u + i*q - 16 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489 - 44*c**3 - 47*c**3 - 979 + 490.\nAnswer: -91*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 12. Suppose 0 = 2*l + f + 20, 3*l = 5*l + 4*f + 20. Let g = c - l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 (base 14) in base 2?\nAnswer: 101100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59, -32, 23, 112, 241?\n\"Answer: f**3 + 8*f**2 - 4*f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 12*u + 7. Give v(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 5. Let t be ((-9)\/(-15))\/(2\/10). Let f(w) = w - 1. Let c(p) = t*f(p) + u(p). What is c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a**4 - 4*a**3 + 4*a**2 - 28. Let c(w) = 14*w**4 - 5*w**3 + 5*w**2 - 27. Let y(v) = -4*c(v) + 5*o(v). Differentiate y(u) wrt u.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*1)*1 + sqrt(102))\/(sqrt(6) - sqrt(216) - sqrt(6))*4.\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458511.\nAnswer: 911, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - i - 0*i + 9, 4*r - i - 9 = 0. Suppose 7 = -r*j + d + 4*d, 2*j = -2*d + 22. Suppose 6*b - 4 = 4*b. Solve -b*a = a - j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/30 - 93*r**2. Let t(h) = 22*h + 1. Give c(t(u)).\nAnswer: -968*u**2 - 88*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8230801009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -107327372 divided by -236\nAnswer: 454777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**19\/g*g)\/g)*g)**(-41)*g**13*g*g\/(g*(g*g**(-4)*g)\/g) assuming g is positive.\nAnswer: g**673","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2365*-154.\nAnswer: -364210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14057*m - 6787*m = 6960*m - 21080 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/14 - 12\/(-14). Let v be (24\/(-18))\/(w\/3). Suppose 20 = -4*p - 0. Put -3, p, v in ascending order.\nAnswer: p, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 72 = 5*q, -z + 5*q + 116 = 2*z. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6101 - -40032. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 10, 18.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j - 225*j + 2197 - 853 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 = -17. Suppose 5*y + f = 6*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b - 2*c = -38, c = 5*b - 101. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000842 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 + 3 - (59 + -53).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5 + 9*k**4 - 2*k**3.\nAnswer: -k**3*(k - 2)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 3. Let n(y) = y - 2. Let m(r) = -4*n(r) + 3*o(r). Let b be m(-4). Factor 0*d - 2*d**2 + d + 5*d**b - 4*d**3.\nAnswer: d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1770 + 2541. Is 86 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 + 5*g + 37. Calculate v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23670310 and 4170?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 20. Suppose 0 = 8*c - z*c - 80. Let i = 28 + -23. Calculate the remainder when c is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/(10\/150). Solve -5*a + a - 6 = 2*t, a = -r*t - 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 - 11 = 0. Let q(w) = 4*w - 1. What is the tens digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2250 divide 2545937876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-462)\/28 - -15)*(-1 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 474.3539 years?\nAnswer: 0.4743539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 232 = -2*n - n, 3*c = 3*n + 171. Let f(y) = 3*y**2 - 6*y - 11. Let h be f(-4). Is c less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5128750*v**2 + 158*v + 632. Let f be i(-4). Round f to the nearest one million.\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 64314 - -4?\nAnswer: 64318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2566 - 2547. Let l = -13 - -26. What is the remainder when v is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**2 + 3*n**2 - n**2)*(2*n - 3*n + 0*n)*(3*n - n - 3*n) to v*n + x + r*n**4 + z*n**2 + g*n**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 5*(1 - -2). What is the highest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 - 6*t**2 + 5. Let y be m(-5). Suppose w = -w + y. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75766 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**2 - 1. Let c = 7 - 15. Does 13 divide i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6 - 3 + 5 + 3. Let n(o) = o. Suppose 5*v - 7*v + 6 = 0, 3*v = -4*q + 5. What is q*n(w) + 2*f(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/42)\/((49\/(-42))\/(-7)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 + 3*o - 2. Let f(d) = -d**2 - d + 1. Let w(u) = -f(u) - s(u). Let y = -15 - -18. Let g = y + -1. Give w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 (base 12) in base 3?\nAnswer: -1021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218 + -205. Suppose 10 = 4*w - 46. Let a = w - q. Which is greater: 14\/13 or a?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2608762541\/67398 - 232241\/6. Let y = 35731051\/123563 - u. Let w = 289 - y. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4 - 7*h**3\/2 - 333*h**2 + 104*h - 10. Find the first derivative of p(u) wrt u.\nAnswer: -24*u - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 1 - 315\/(-5 - -12). Let l = 61 + n. Suppose 0 = l*q + 571 - 1927. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.27 + 0.03. Let g = 166 + -828\/5. Put g, 0.1, x in descending order.\nAnswer: g, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 - -213. Which is the biggest value? (a) y (b) 1\/2 (c) 0.02 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4280 - 4279.93343. Round r to three decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 5128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 7*q**2 + q**2 + (1 - q - 1)*(0*q + 2*q - 3*q))*(-4*q + 5*q + 3*q) in the form m*q**2 + z*q**3 + a + x*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 345200 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211200211 (base 3) to base 16.\nAnswer: -40a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -144*y - 1273 - 311 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -324732.4438 to the nearest ten.\nAnswer: -324730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34816, 69619, 104416, 139207?\n\"Answer: -3*x**2 + 34812*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u**(-22)*u)\/u))*u\/(u*u**(2\/21)))**(-1\/8) assuming u is positive.\nAnswer: u**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 115*z - 24. Let v be f(9). Let u = v - 675. Suppose -3*o + u = -3*s, o + 6*s - 116 = 8*s. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2975.9 - -2975.8. Let w = 0.36 + -0.06. Let m = w - 0.1. What is the nearest to i in m, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 777*v**5\/10 + 7*v**4\/4 - v**3\/3 + 6*v + 50. What is the third derivative of j(h) wrt h?\nAnswer: 9324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 - -317. Does 48 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -294, 2\/43, -4, -16?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0112961 to four dps.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 17 = -11. Suppose -f*o - 2*o + 18 = 0. Suppose -o*m = -68 + 23. Solve x = -3*p - 0 + 6, 4*x - m = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.37625 and 0.7463.\nAnswer: 7.12255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4512544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21320 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y + 16 = 0. Let r = 11 - 8. Let i be ((-5)\/r)\/(3\/9). What is the third smallest value in -3, i, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6, 5*u + 24*a = 19*a + 65. Solve t = 3*w - u, 14 - 29 = t - 4*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + (20 - 12 - -2). Solve 200 = -u*m + 191 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 2 (b) 8\/9 (c) -0.4 (d) -1026 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*(-4)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 469 - 559 = 70*k + 130 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/41 (b) 0.785 (c) -5 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15161 + -17777.01.\nAnswer: -2616.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c = 41*c - 162. Let k(x) = -x**3 - 26*x**2 + 23*x - 51. Let h be k(c). Calculate the greatest common factor of h and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -27, -22, 17, 102?\n\"Answer: 2*r**3 - r**2 - 28*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1617 - 483. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - k**3 + 0*k**3 + (5*k**2 + 0*k**2 - 3*k**2)*(-2*k + 0 + 0) + 4*k**3 - 138*k + 139*k - 28*k**3.\nAnswer: -30*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 7853486?\nAnswer: -1570697.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/329 and 2364301 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 2 = 0. Let b be (2 - 2)\/(i + -1). Suppose g - 18 = -3*y, 3*g - 10 - 12 = -y. Solve 0*x + 2*x - g = b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, -51, -141, -231?\n\"Answer: -90*r + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o - 76. Let c be w(-16). Let d = c - 34. Solve 3*t = -5 + d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -37*b + 31 - 6*b - 96 + 485 + 347. What is d(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -24*o + 9. Let i be a(2). Let z = -39 - i. Factor 3\/7*q**2 + z - 6\/7*q.\nAnswer: 3*q*(q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146940 - -98740. Round l to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 15. Let b(u) = -7*u - 113. Let f(g) = 3*g + 56. Let v(l) = 6*b(l) + 13*f(l). What are the prime factors of v(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256167?\nAnswer: 3, 28463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwx when four letters picked without replacement from wwwwwwwwwwwwwwx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 89145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 14465112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 252, 259, 272, 291?\n\"Answer: 3*j**2 - 2*j + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -11. Let r = -0.2 + 0. Let f = r + 0.8. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -60 (b) -0.623 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:14 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5392 and 1616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 less than or equal to -5730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 89 - (39 - (-8 + -20 - -44))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37434382 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7.8. Let x = g - 1. Sort 4, -3, x.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10799 times 4\nAnswer: -43196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298558.2 litres to millilitres.\nAnswer: 298558200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*z + 5*k - 31 = 56*z, 23 = 3*z + 4*k. Solve -z - 2 = 4*q - 5*u, -5*q - 2*u = 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*f - 120 = -413*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Calculate the common denominator of 2\/(-5)*13\/4 and 3\/(42\/(-40)) + b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*(517\/(-12) + (-23)\/138) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187? (a) -5\/47 (b) 5 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/8 - 5*p**2. Let n(s) = s**2 - 2*s - 2. Let t(y) = 3*y + 3. Let o(j) = -3*n(j) - 2*t(j). What is o(d(f))?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y. Let m = -54\/7 - -52\/7. What is the nearest to m in 2\/3, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3287*b**4*i*t + b**4*t - 9*b**2*i*t - 100*b**2*t - 2*b*i*t - 2*i wrt b.\nAnswer: 78888*b*i*t + 24*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -574145*i**3 - 205292 with respect to i.\nAnswer: -1722435*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*v - 169*v + 87*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -1 - (4 + (26 + -36 - -19))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 787, 1610, 2433?\n\"Answer: 823*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -1, 43.\nAnswer: -1, 0.2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1500 and 139470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.473895 milligrams?\nAnswer: 0.004473895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1346.5 - -1080. Let d = p + 267. Let m = -3 + 7. Which is the closest to 1? (a) -3\/4 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -251, -268, -285, -302?\n\"Answer: -17*p - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10000111?\nAnswer: -10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 8*o = -116, -9*a + 5*a - o + 1 = 69 + 34 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05607 and 2840506285.\nAnswer: 2840506284.94393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 29*f + 11. Let k be z(14). Let l be (-639)\/k + (-1 - -5). Calculate the highest common divisor of 31 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from nkykmymknkkym?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525636?\nAnswer: 2, 3, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - g - g)*(0 + 0 + 14699826*g - 14735290*g) to the form w + n*g + p*g**2 and give p.\nAnswer: 70928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 31*k - 4. Let v be w(4). Let d be 448\/(-12)*(-3)\/(-2). Let s = v + d. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -7*i - 7500. Let l = i - 625. Solve -2*j + l = -6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 174*a**2. Let n(o) = 15*o. Give z(n(m)).\nAnswer: 39150*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v + 5. Does v = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2166*o**5 + 15010*o**4 - 834928*o**3\/3 - 2670736*o**2\/3 + 190496*o\/3 - 1120 = 0.\nAnswer: -14, -3, 2\/57, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 1. Let y(p) = -3*p + 8. Let u(s) = -6*s + 18. Let t(h) = -6*u(h) + 13*y(h). Let o(x) = x + 1. Calculate r*o(q) - t(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.3 (c) -69 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 1. Let f = 8 + n. Suppose -4*d + 72 = -4*b, f*d + 0*d - 37 = -3*b. Calculate the remainder when 38 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -1. Let u be c\/7 + (-183)\/(-21). Let t be 112\/18 + (-2)\/u. Solve 3 = i + t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**4\/4 - y**3 - 3*y**2\/2 + 6. Let d be z(-2). Solve -11 = 3*p - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29a4 - -4?\nAnswer: -29a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3055a3 + -1?\nAnswer: -3055a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lym when three letters picked without replacement from {m: 1, l: 1, w: 1, u: 1, y: 2, p: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511601?\nAnswer: 103, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (44 - 25) - -23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.034 and 4779?\nAnswer: -162.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 - 212. Let s = w + 35. Let k = 13\/15 + -2\/3. Which is the closest to 1\/3? (a) k (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/40 + 13*s**5\/30 + 3*s**4\/4 - 3*s**3 - s**2 - 45. Does 28 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 11*n**4\/8 - 49*n**3\/3 + 64*n**2 - 80*n - 321. Factor i(z).\nAnswer: (z - 4)**2*(11*z - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2 + (2 - -1)). Let p be 3\/12*u + -92. Let v = -89 - p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3586, -4 in decreasing order.\nAnswer: 3586, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3\/9 - 40*d**2\/9 + 212*d\/9 - 56\/3 = 0. Calculate d.\nAnswer: -14, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxxxldllnxx. Give prob of sequence nnld.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.74645 to 3 decimal places.\nAnswer: 5.746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(64\/60) + (-1)\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - r**3 - 2*r**3)*(4 - 1 - 1) + r**2 - r + 174 - 174 + r**3.\nAnswer: 3*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2795 divide 653703683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252832?\nAnswer: 2, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(464\/(-32)))\/(1\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 612\/(-2295)*25\/(-2)*2*330\/(-40)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17343 is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, and 1 u when three letters picked without replacement from uguguuusuuussuuubuug.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 1. Let k(i) = 4*i**2 + 6*i + 5. Give -k(v) + 5*u(v).\nAnswer: 11*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1143 and 162027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000068451 to 6 dps.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -3*o**5\/20 + o**4 + 7*o**3\/2 - 2*o**2 - 8*o - 4. What is the hundreds digit of z(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 (base 13) in base 5?\nAnswer: -13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 141?\nAnswer: -98.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3358709759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = 5*k + 5*t - 238, 30 = 6*t. Sort 9, -963, k in ascending order.\nAnswer: -963, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662919 > 5662919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 362332*v**2 + 570*v**4 - 289744 + 422396*v**2 - 508642 + 36282*v**3 + 492161*v - 701896 + 186538*v + 3*v**5.\nAnswer: 3*(v - 1)*(v + 2)*(v + 63)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a. Let g(k) be the first derivative of -k**3\/3 + 10. What is g(b(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/36325 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.43 - -1.77. Let y = o - 23.2. What is the second biggest value in y, 4, -33, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -27*o**2. Let m(r) = -3*r**2. Calculate y(m(s)).\nAnswer: -243*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2\/(-42) - (100768\/336 + -19). Which is smaller: -275 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.26 and 29.\nAnswer: 35.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 12642635?\nAnswer: -12642643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7 = 5*p - 6, 0 = -4*p + 2*r. Suppose -9*g + 7*g + 36 = 0. Put g, -1, p in decreasing order.\nAnswer: g, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/((-540)\/(-30)))\/(2\/5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4046?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.91 - 0.09. Let n = 4.7 + k. Sort n, 2\/9, -3\/5.\nAnswer: -3\/5, n, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2439 - -3?\nAnswer: -2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46472 is divided by 5660?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(34398\/(-208))*(-18)\/(-2).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 3*j - 20 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 15 = 10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.33, -4\/3, 219\/4, 0.4, -1, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309353*t - 309353*t - 26*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428\/2142*(-1)\/2*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3) - (-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*n - 78 = 0, -3 = -3*n + 6. Let q be 140\/14 + 2 - -132. Calculate the highest common factor of x and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w**2 + 2*w - 3 + 16*w**2 + 0 + 3*w**3 to g*w**3 + b*w**2 + x + d*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15272 < 290177\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7975 + 3940 - 2*h**2 + 3973 + 0*h**2 + 0*h**2.\nAnswer: -2*h**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d*j**3*z + 16*d*j**2*z + 2*d*j*z - 2926*j**3*z + 6*j**2*z - 9 wrt j.\nAnswer: 60*d*z - 17556*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -242*i + 216*i + 79742. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*u + 14 = 0, -14 = 5*u - 4. Let m(r) be the second derivative of r**5\/20 - r**4\/6 - r**3\/6 - r**2\/2 - 10*r + 61. Give m(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/20 + 42\/(-65)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - y + (1 + 0 + 1)*(-4*y + 2*y + 0*y) + 13*y - 8*y + 3*y)*(-3 + 2 - 1).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 2*s - 7*v, 3*s = -2*v - 4. Suppose 3*m - 12 = -s*m. Suppose 7 = -m*k + 15. Solve -4 = p + 2*o, k*o = -0*o - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -91218.\nAnswer: -2736.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -24*l**3 - 3*l**2 - 1. Let o = 15 + -9. Let n be r(o). Let q = -42259\/8 - n. Calculate the common denominator of q and -4\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v. Let g(x) be the third derivative of x**4\/24 + 9*x**2. Give b(g(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31211 (base 4) to base 12\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -9\/4, -0.5, 11\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1*((-4 + sqrt(176) + 4 + sqrt(11) + 0 - ((sqrt(121)\/(sqrt(22)\/sqrt(2)) - sqrt(11)) + -2)) + 0))*-4)**2.\nAnswer: 960*sqrt(11) + 4976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2520217 to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53777871*t**4 - 2*t**3 - 2*t**2 - 759370395 wrt t?\nAnswer: -215111484*t**3 - 6*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - 2\/5. Let s(v) = 18*v - 5 + m + 3. Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102022111010200 - 111?\nAnswer: -102022111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16279472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 4. Let q(a) = -4*a + 9. Let j be q(-8). Suppose -8*r + 39 = -j. Suppose 24*p = 22*p + r. Let m(h) = -h - 3. Calculate p*m(t) + 4*x(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-55))\/((-4)\/(-22))*56\/840.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 0.1 (c) 1412 (d) 1\/2 (e) -1\/6 (f) -0.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 + -0.2. Let t = 1541.06 + -1541. What is the smallest value in c, 0.5, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479999 is divided by 320.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 1124 = -1028. Let 2\/25*k**3 - 4\/25 - 2\/5*k + 2\/25*k**d - 6\/25*k**2 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**6\/80 - h**5\/20 + h**4\/2 + 142*h. Let r(l) be the third derivative of f(l). Let y(m) = 2*m. Calculate y(r(x)).\nAnswer: 18*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1024)\/8)\/8*-1)\/((-2)\/2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i**2 - 2*i**4 - 2 - 7*i + 2 + 14*i - i**2 to t*i**4 + m + z*i + p*i**2 + y*i**3 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 105 - 84 = -3*x, -5*x - 13 = 4*d. Determine l so that -9\/5 - 3\/5*l + 21\/5*l**2 + 3*l**d = 0.\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5)*-3 + (sqrt(5) - (4 + 1 + sqrt(5))) - (-2 + -2*sqrt(245)*-1))*5.\nAnswer: -115*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1666 times 2?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*x**4 - 18 + 83*x**3 - 2*x**2 - 83*x**3 + x wrt x?\nAnswer: 180*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1 - 6) + 4)*23*-1. Suppose r*y - 17*y = 12. Factor -1\/4*a**y + 1\/2*a - 1\/4.\nAnswer: -(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21385 and 11375.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -2, 1, 471 in descending order.\nAnswer: 471, 1, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 5*w**7\/21 + 7*w**6\/10 + 343*w**3\/6 + w + 51. What is the second derivative of d(s) wrt s?\nAnswer: 200*s**3 + 252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 25\/3, -0.4, -1\/4, -3 in ascending order.\nAnswer: -3, -0.4, -1\/4, 1\/7, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -23918 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15941 * 175\nAnswer: 2789675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7 - 3 - c**2 + 2*c + 23 - 11. Let h be p(2). Suppose 0 = -h*g - 14 + 18. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170282437 a multiple of 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3119.26 + -2882.7. Round z to the nearest integer.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71.43 and 2.86.\nAnswer: -204.2898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 374252.8 milliseconds?\nAnswer: 374.2528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from wcmiqqj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-18) + (-6)\/(-9). Let c(t) be the second derivative of -t**3\/3 - 56*t + 2. Determine c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 - 8. Let n(v) be the first derivative of 2*v**3\/3 + 120. Calculate g(n(i)).\nAnswer: 24*i**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 1:05 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4762 to three dps.\nAnswer: -0.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/639 and 21\/71.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3 - 18*c - 12*c**2 + 48*c**3 + 19*c wrt c.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f**4\/2 + 2122*f**3 - 643875*f**2\/2 + 91809*f = 0. Calculate f.\nAnswer: 0, 2\/7, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*h - 1862 = -1845, -5*w + 2*h = 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9 and -6.7.\nAnswer: -19.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkr when three letters picked without replacement from rktjkkjrlkty?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**2 - 6*h**2 + 2*h**2)*(3*h**2 + h**2 - 6*h**2).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (183\/2 - -2) + (-12)\/(-24) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*n - 253 + 130 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/5 + 72*n**3\/5 - 204*n**2\/5 + 40*n - 66\/5.\nAnswer: -2*(n - 33)*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*z = -7*z + 30, 3*z = 15. Let m(y) be the first derivative of -y**4\/4 + 4*y**3\/3 + 7*y**2\/2 + 2*y - 1. What is the tens digit of m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:37 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7*d + 10. Let i be a(8). Let s(k) = -i*k - k + k. Let l(b) = 2*b - 1. Let f(p) = 1. Let m(w) = f(w) + l(w). Give m(s(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1089 and 2114048475?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19*x + 9 - 16*x + 45*x - 17*x. Let f(k) = -3*k + 4. Let b(l) = 2*l - 2. Let p be b(2). Suppose p*u + 2 = -2. What is u*r(q) + 5*f(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/17))\/j**(-13)*j**(-12)*j\/j**(-17) assuming j is positive.\nAnswer: j**(338\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2115 (base 8) to base 16\nAnswer: 44d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 - -163. Let c = -252 - -306. What is the highest common factor of v and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1975, -1992, -2009, -2026?\n\"Answer: -17*w - 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -13.99. Put -2, 2\/17, z in increasing order.\nAnswer: -2, z, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-22)*1)\/3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 + 5*y**2 - 7*y**2 + 11*y**2.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2*(-9)\/1248)\/(30\/55) and 95\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 2. Suppose k + 5 = -v + 4*v, 4*v = 12. Suppose -9*g + k*g + 4*n = -32, -3*n = -2*g + 17. Calculate the least common multiple of m(2) and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siiiiijsbiijbisss. Give prob of picking 1 j, 2 i, and 1 s.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + c - 5. Let y = -4 + 7. Let q(r) = -8*r**2 - 6*r + 3. Let k(z) = 7*z**2 + 5*z - 2. Let b(l) = 6*k(l) + 5*q(l). What is y*d(v) + 5*b(v)?\nAnswer: v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(1\/(-10)). Let y = 1003 - 871. Suppose -y = x - k*x. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 - 2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -98e + 4fbc?\nAnswer: 462e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -44\/3, -0.922, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 2.6. Let w = 1 - z. Let r = 82.5 + -83. Put r, -5, w in increasing order.\nAnswer: -5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.81 + 82.85. Let u = 260 + -364. Let i = c + u. Round i to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:53 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 - 143. Let p(w) = 11*w + 7 + 34*w**2 + 3*w**3 - 4*w**3 - 43*w**2. Give p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-9))\/((-2)\/6). Let i be 5 + -1 - (9 + -6). Let d be (-10)\/(i\/(-1)) + -2. Solve -3*j + 2*s = 6*s + 12, 0 = o*j + 3*s + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i + 12. Let y be s(-3). Suppose f - 45 = 4*u, 4*u - 37 + 17 = y. What is the remainder when 81 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1141 + 3868. Let i = u + -80. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(88) + (sqrt(88)*2*-1 - sqrt(88) - sqrt(88)))\/(4*sqrt(24)\/sqrt(3) - sqrt(8)) + -6*(sqrt(528)*-6)\/sqrt(3))**2.\nAnswer: 1144*sqrt(11) + 224955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 0, 3*n + 2*t + 6 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 33631 = -12373. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -460 + 4895?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1210 + 2051. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1668, -3, -8.\nAnswer: -8, -3, 1668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66013 is divided by 22004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + i = -i - 200, i - 188 = -t. Suppose -t = 5*p + 38. Let g = -229\/38 + 124\/19. What is the common denominator of g and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14815 + 5*u**3 + 14815.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - ((1 - 6) + 0 - -2)) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 146?\nAnswer: 10074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + (sqrt(77) - -2*sqrt(77)) - sqrt(77)) + sqrt(77))*-1)\/(-2*sqrt(704) + sqrt(704)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -29.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13223 is divided by 1460?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + x + 2*x)*(4 - 2 - 1)*(-8 + 1 - 6) - 2 - 2*x + 2 as t + s*x and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 38\/57 + (-405)\/(-35) + 10 + -22\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(858\/(-12)))\/((-2)\/1)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 40*g - 18*g - 22*g**2 - 8*g + 19*g**2 - 3*g.\nAnswer: -3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = 4*y, -2*y + 40 = 5*z + 13. Let p = -8 + y. Let m(u) = -u**2 - 7*u + 3. Is m(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f*u**4 - 11*f*u**3 + f*u**2 - 1350*f*u + 53*u**4 - 50*u**3 + 3124*u**2 wrt u?\nAnswer: -168*f*u - 66*f + 1272*u - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:34 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*b**3 - 5\/3*b**2 - 7\/3*b - 1.\nAnswer: -(b + 1)**2*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79303 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 3. Let t be g(-3). Sort t, -5, 3 in decreasing order.\nAnswer: t, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -203a5 + -1?\nAnswer: -203a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*w + 1 = -3*w, 5*f - 4*w - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t\/(t*t*t**(5\/6)*t*t))\/(t\/t**(-3\/2)*t**4*t))**(-4\/19) assuming t is positive.\nAnswer: t**(148\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 3*p + 0*p)*(-5*p + p**4 + 5*p) + (p**4 + 3*p**2 + 0*p**4 - p**2)*(-5 + 5 + p).\nAnswer: -3*p**5 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (441\/4536*-24)\/105?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 2. Let u(b) = -2*b + 1. Let v = -2 - -5. Let c(j) = v*w(j) + 2*u(j). List the prime factors of c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.206207 rounded to three decimal places?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1640565 and -23\/1822850?\nAnswer: 16405650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (-7 + (2 - 3)). Solve -w - 3 = j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(0 + sqrt(4400)) - (sqrt(539) + -1 + 4 + sqrt(539) + sqrt(539)*1 + -5)) + 2)**2.\nAnswer: -1128*sqrt(11) + 218707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3851 + -3853. What is the closest to 1 in v, -0.2, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000621715361 rounded to 6 dps?\nAnswer: -0.000622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 l when three letters picked without replacement from larlr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -1 - 21) + (1 - 15) - -1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(4\/(-132)*-3). Let u(h) = h**2 - 14. Calculate the remainder when u(c) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 2*y - 1. Let b be w(1). Suppose 0 = k - b*k + 63. What is the remainder when k is divided by 3955\/339 - (1 + 1\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48946*c**5 - 11*c**4 + 424188*c**2 wrt c.\nAnswer: -2936760*c**2 - 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -22279, -4.\nAnswer: -22279, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-2 + 0)) + (-102 - (26 + -99)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**4\/24 + 2284*m**2 - 2*m. Let h(u) = -5*u**2 + 2*u + 11. Give x(h(a)).\nAnswer: -5*a**2 + 2*a + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -2 - 2) + (-104 - -111).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (118\/(-295))\/((16\/20)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9)*(2 - 5). Let n = w - -2. Solve 0 = 2*g - n + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -122?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1189*h**3 + 7*h**2 + 3*h - 4. Let m be z(-4). What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 49 = 79. Suppose -5*k = -5*x - 210, -k = 3*x - x - 51. Calculate the remainder when k is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 2, q: 7, b: 1, m: 9}. Give prob of picking 1 x, 2 q, and 1 b.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 22615.\nAnswer: 90460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -48.9. Let i = -359\/3 - -121. Let r = -0.42 + 0.02. What is the closest to -1 in i, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190025927 rounded to the nearest 100000?\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154270173 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 6*w + 40. Determine a(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18706244989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19092 and 3137280.\nAnswer: 116079360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15501 is divided by 3845.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -45*y + 230. Let i be p(5). Suppose -3*z + i*d = -17, 7*z = 2*z + 5*d + 25. What is the least common multiple of z and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29010 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042 - -1142202476.305?\nAnswer: 1142202476.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011*t = -1013*t + 12. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 15*p + 8142. What is a(-98)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -44.7. Let i = -0.7 + s. Which is the second biggest value? (a) -0.1 (b) i (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560048 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -11)*6\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h + 77. Let r be u(-8). Solve 0 = r*s + 25, -3*k + s - 5 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 8. Let f(t) = 4*t + 5. Suppose 0 = 3*c - 2*j - 6, -2*c + 2 = -c - 5*j. What is the remainder when f(c) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1921, -1925, -1941, -1975, -2033, -2121, -2245, -2411?\nAnswer: -2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-5)\/(5\/(-3)). Suppose -4 = 4*p, -2*h + 2*p + 9 = s*p. Calculate the remainder when 8 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(1 - 1 + 1)*(-16*h**5 + 0 + 0).\nAnswer: 32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 106. What is the smallest common multiple of z and 916?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, g: 1, l: 1, j: 2, q: 1}. What is prob of picking 1 z and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 3*a**2 + 3*a - 2. Let r(c) = c**3 + c**2 + 3. Let p be r(0). Give w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0.1. What is the nearest to -1 in 2, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3695*k - 10230*k + 2444*k as c*k + g and give c.\nAnswer: -11481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 920, 1735, 2504, 3221, 3880?\nAnswer: 4475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 3*a**2 - 3*a - 2. Let o be k(4). Suppose -o*p + 46 = -2. Calculate the highest common factor of 48 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.816562 decades in centuries?\nAnswer: 0.9816562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooa when three letters picked without replacement from {o: 16, a: 4}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 - 13*o**2 + 8*o + 13. Let s(j) = -9*j**3 - 27*j**2 + 15*j + 27. Let p(t) = -3*s(t) + 7*z(t). Let b be (-42)\/2 - 700\/(-70). What is p(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1. Let n(w) = -w - 1. Let j(d) = 6*n(d) + 5*x(d). Let c be (3\/(9\/24))\/(-2). Is 19 a factor of j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/65*(-3)\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {o: 2, x: 4, s: 1, c: 1, j: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:25 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2. Let q(o) = 15*o**2 - o. Let l be q(-1). Suppose -2*w + y + 2*y + l = 0, w + 4*y + 14 = 0. Let t(d) = 5 - 5 - 21*d**w + 22*d**2. Give x(t(f)).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 4*g - 4. Determine d(-8).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*8\/(56\/7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:47 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2 + 37*t + 340 = 0?\nAnswer: -20, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v - 2. What is the units digit of (-7)\/v*(-24)\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 316, 634, 958, 1288, 1624?\n\"Answer: 3*o**2 + 309*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooseeosos. What is prob of sequence se?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 - 2*b**3 + 7*b - 3*b + 4*b**3 + 3 - b**4 - 7*b to t*b + z*b**4 + a*b**2 + x + p*b**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80.1 + 76. Let y = -0.12 - -4.12. Let i = m + y. Is i != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1090 (b) -3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.2. Let n = 0.17 - 0.07. Which is the biggest value? (a) 4 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:44 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -823418867 from 11909.9.\nAnswer: 823430776.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/((-1)\/35). Let t = -14 - u. Suppose 5*v - 4*j - 1167 = 0, 3*j = 2*v - 73 - 398. Calculate the greatest common divisor of t and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w + 18. Let t(a) = 1. Let k(g) = -j(g) + 15*t(g). Does 21 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2100 + 2141 = 4*j + 2*r + 4217, -3*r + 26 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57504, 57500, 57496?\nAnswer: 57492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1)*(48\/16520)\/3)\/(2616\/4578)?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Let d(q) = 4*q. Let o(z) = -d(z) - 5*j(z). Let h be (-130)\/(-26) - (9 - (-2)\/2). Give o(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.4, 1\/4, 1.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 5*v + 812 = 0. Let h(l) = -l**2 - 6*l + 10. Let x be h(-7). Suppose -60 = -d + x*d. Is v > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -210.2 (b) -30 (c) 7 (d) 0.5 (e) 8\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 21*l = 1170. Let a = l - 70. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -44, -2, -5 in descending order.\nAnswer: 5, -2, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -2*d**9\/63 + 13*d**5\/60 + 4*d**2 + 5. Let c(l) be the second derivative of s(l). Find the third derivative of c(k) wrt k.\nAnswer: -1920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 + -5 + -1 + -12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(2\/9)\/w)*w*w)**(1\/16))**(1\/11)*(w\/w**3)\/(w*(w**(-6)\/w)\/w)*(w*(w*w\/(w\/(w**(-6\/5)*w)))\/w)\/((w*w**(-2\/11))\/w) assuming w is positive.\nAnswer: w**(23773\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.4 (c) 2 (d) 0.51 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012 (base 8) in base 3?\nAnswer: 20100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 722431573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - x = 744, -f + 0*x - 5*x = -128. Calculate the remainder when f is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/10, -4, -2, -0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214.06 + 215. Round k to 2 dps.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.142 (b) 2\/3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 - 120. What is the closest to -1\/3 in s, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2594760773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/5 + 32*v**2\/5 - 129*v\/5 - 162\/5 = 0?\nAnswer: -1, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - 2 - ((1 - 14) + -61 + 59 + 7).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245105 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 54 = -12. Let z(v) = -15*v**2 + 6*v + 22. Let y(s) = -2*s**2 - s. Let p(f) = x*y(f) + z(f). Differentiate p(h) wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 189, 477, 775, 1083, 1401, 1729, 2067?\n\"Answer: 5*m**2 + 273*m - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6107 + 10707. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 200 = -4*o, o = -4*o - d - 259. Let v = o + 57. Let a be (-3)\/(3\/v + (-12)\/6). What is the greatest common divisor of a and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34402041 + 4?\nAnswer: -34402032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2528 or 17047.8?\nAnswer: 17047.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 4, s: 6, y: 3, m: 2}. What is prob of sequence mym?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrrq when four letters picked without replacement from {r: 2, a: 1, w: 1, q: 6, d: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8138*t - 659165. Give r(-81).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 7480.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 1.6, -0.3 in decreasing order.\nAnswer: 2, 1.6, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209))*-6)\/(sqrt(33)\/sqrt(3)*1) + (-2*sqrt(475) - (sqrt(133)\/sqrt(7) + 2)).\nAnswer: -11*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 + -a7?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -7 - -14) + -29 + 20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*w**2 - c*w - 186793*w**2 + 4887655 wrt w.\nAnswer: 4*c - 373586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 239*f - 240. Let h be g(5). Let r = h - 953. Solve -2*o + 8 = -2*z, -z + r = 5*o - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106354108 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2639614, 2639611, 2639608?\n\"Answer: -3*w + 2639617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 38\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*o + 414 = -194*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 392364.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (238\/(-21) + 5))*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((4 + (-4 - -7) - 19) + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 36752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 bigger than -10538\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 50 = 34. Let h(p) = 5*p**2 + 7*p + 12. What are the prime factors of h(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 6762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -72018, 27, -4 in descending order.\nAnswer: 27, -4, -72018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2099.321 - -2098. What is v rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204374 (base 8) to base 4.\nAnswer: 1100203330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*n - 280*n + 54459 = -134*n. Is n a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 19*w + 33. Determine h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 249477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1163 - 5811\/2326. What is the third smallest value in 23, 5, -2\/19, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**3 + b**4 - 9*b**3 + 3*b**3 + b**4 - 3*b**3 - 5*b**4 + 2*b**3 - 2*b**3 + (-4 + 2 + 4)*(3*b**4 + b**4 - 3*b**4).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13809.1 years in centuries?\nAnswer: 138.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 12 - 36 = 0. Suppose -4*d - 6 = 2*p, 3*p + 5 = 2*p. Put d, -5, h in decreasing order.\nAnswer: d, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)*t\/(t\/(t\/(t*t\/(t\/t**(2\/11)))))*(t**7*t)\/t**(-13) assuming t is positive.\nAnswer: t**(218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7495 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20498 + -20464. Which is the nearest to -1? (a) u (b) -2 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17046.449 + -17068. Let t = -0.631 - r. Round t to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 7 + -13 + -9 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02444093008 rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a factor of 52355583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 111. Suppose -f = 4*b - 45. Solve b*u = -2*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1981211 minus 2?\nAnswer: -1981213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 43 = 5*x, 14 = h - 2*x + 3*x. Let c(s) = -s**3 + 10*s**2 - 8*s - 5. Let l be c(h). Let k = -15 - -21. Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -x - 5*k, -12 = -0*k + 4*k. Suppose -x*w + 6*w - 8 = 0. Suppose 36 = w*b + 8. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*s + 1, -7 = -2*i + 4*s + s. Let v(p) = p - 1. Let x(t) = -6*t + 10. Give i*x(y) + 8*v(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from indzmmdis. What is prob of picking 1 m and 1 s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.1557766 to 1 decimal place.\nAnswer: 53.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1931, 1956, 1981, 2006, 2031, 2056?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 5 + 9 - 2 - 3 to the form u*c + f and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v - 15*v = 267*v - 670871. What is the highest common divisor of 279 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*v + 16 = 2*v, -3*v = -6. Let s be (-2)\/(-11) + 86\/w. What is the highest common divisor of s and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*0\/3. Let v(h) = 1 + 0*h - 2*h + x. Give v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(6\/13)*(x**(-3))**(2\/45) assuming x is positive.\nAnswer: x**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 7 = 5, 0 = -p - x - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 and 22\/511?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - m**2 + 3*m**2 - 4 - m**2. Let x be 30\/(-4)*(-870)\/(-725). Let v be ((-8)\/(-12))\/(x\/(-54)). Determine y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -14. Let y be (2\/4)\/(2\/(-12)). Let i = y + k. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekek when four letters picked without replacement from {k: 2, y: 1, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11612 divided by -19.\nAnswer: 11612\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esmggmqq. What is prob of picking 2 q and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/6? (a) -1 (b) 5\/3 (c) -2\/181 (d) 20370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:48 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2524 + 13?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2931\/2 - 1464. Let y be 0 - (-2 - (0 + 60\/(-39))). Is b greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6)**(-5\/7) assuming z is positive.\nAnswer: z**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1862550381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1103707*-4.\nAnswer: -4414828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*b = -186*b + 190. Let v(u) = -11*u + 12*u + 48*u**2 + 8*u**2. Let g be v(1). What is the highest common factor of g and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + (1 - -2))\/(-1). Suppose -3 = n*d - 7. What is the remainder when 3 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 3*m = -78. Suppose 2*u + m = -108. Which is greater: u or -59?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -8786449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39613 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2 (b) 0.8 (c) 1\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 - -0.41. Which is greater: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-1\/4)))**(-18\/7)*z*z*z**(-6)\/z*z*(z\/(z\/(z*z**7)))\/z)**(-5\/7) assuming z is positive.\nAnswer: z**(-255\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -184.931 + -0.069. Let t = -179.9 - i. Round t to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 2. Let z(u) = 2*u - 3. Suppose g = -4*m - 12, -3*m - 22 = -g + 5*g. What is g*z(d) + 3*x(d)?\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 + 2*o**2 - 12*o**4 - 2*o**3 + 4*o + 6*o**3 + 5*o**4 + 0*o**4 to the form s*o**4 + j + n*o + b*o**3 + y*o**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -7169\nAnswer: 7169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/59, -4 in descending order.\nAnswer: 4\/59, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0704*4904.9\nAnswer: -345.30496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let v(p) = -p + 23. Let j be v(-5). Suppose 0 = 7*c - j + 7. Let f(t) = 0*t - c*t + 8*t. Calculate w(f(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f**3 - f**2 - 2*f + 2. What is the smallest common multiple of 16 and d(1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 2*n)*(114*n + 1051*n + 1139*n).\nAnswer: 4608*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. What is the smallest common multiple of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e (base 15) to base 13.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 3:09 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42616 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppzdzh. What is prob of picking 1 j and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 8*h + 42. Calculate the lowest common multiple of h and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2ca1?\nAnswer: -2ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330.1 - 404. Let s = j + 11.9. Let u = -61.999999872 - s. Round u to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n = 5. Let y be (n + 2)*26\/(-2). What is the units digit of -1 + 0 - (y + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4 - s**3\/3 - s**2 + 2*s - 11. Let i(f) = -3 - f**2 + 5*f**3 + 0*f + 2*f + 3*f**2. Determine 3*g(t) + 2*i(t).\nAnswer: -2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5800816 and 127897.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (8 - 5 - 17)) + 3 + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 3*v)*(-9624*v**3 - 5978780 + 5978780).\nAnswer: -9624*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -3432022198792.\nAnswer: -3432022198796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 2:43 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20700204?\nAnswer: 2, 3, 7, 263, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(-17)\/(h**11*h**(2\/11)) assuming h is positive.\nAnswer: h**(-679\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15786 and 19294.\nAnswer: 173646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from saapssssayppt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16605 and 74\/12177.\nAnswer: 182655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l = -122. Suppose -129 = -2*j + v, 0*j + j + 3*v = l. Suppose j = 4*o - 88. What is the remainder when o is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 40. Solve -2*u = -5*f + t, 5*f - f - 15 = -5*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58157 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 74*w + 221\/3.\nAnswer: (w + 1)*(w + 221)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m*r**3 - 8*m*r + 4*m - 4*r**5 - 10*r**4 + 2*r wrt r?\nAnswer: 12*m*r - 80*r**3 - 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, n: 5, w: 2}. What is prob of picking 1 n and 3 f?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-13725)*61 - 181\/9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 3. Let i be p(-5). Suppose -i = -s + 1. Solve -t - 2*x = s, -3*t + t - 8 = 2*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96922 and 230.\nAnswer: 484610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**7)\/(k\/k**10))\/(k**(2\/3)\/k)**(-5\/3) assuming k is positive.\nAnswer: k**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 402879834 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.95 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, q: 9}. Give prob of picking 4 b.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 2*a + a**2 + (67 - 69 - 34)*(-a + 2*a - 3*a)*(-a + 2*a + 2*a) as c*a + u + j*a**2 and give j.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/(17\/(-35105)). What is the first derivative of -142 + 45 - 2083*u + l*u wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -647 (b) -12\/7 (c) -6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2*k + 2*j**2*y**4 - 7*j*k*y**2 - 3*j*k*y + 21*k*y**4 + 2*k*y wrt y?\nAnswer: 48*j**2*y + 504*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 + 242 - 10*w**3 + 28*w**3 + 33*w**3.\nAnswer: 43*w**3 + 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + 6*w**3 - 2*w**3 + 3*w**3 - 2*w**3 - 7*w**3 + 3*w**3 + 2*w**3 - 6*w**3 + (2 + 0 + 0)*(-4*w**3 + 2*w**3 + w**3).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 5064687348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 - (1 - 32 - 28).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 14. Let w = 9 - g. Let a(f) = -3*f + f + 7 - 2 + w*f. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1242*l + 1059. Give a(1).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2689, 5, 1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.372 + -3.372. What is the third smallest value in h, -1\/8, -96?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*y + 48*y - 21*y + 99*y)*((-8*y + 34*y - 19*y)*(-1 + 2 + 1) - 4 + 4 - y).\nAnswer: 2353*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0*v + 0*v)*(v + 6*v + 10*v)*(-2 + 3 - 4) - 2*v**3 - v**3 + v**3.\nAnswer: -104*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiioiioa. Give prob of picking 1 i and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-1620)\/(-52) + 8\/(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 13*w**2 + 7*w + 10. Does 27 divide m(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1, -1352?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in -2\/23, -4, -1\/6, -0.03, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(4\/34)*3. Let a be ((-3)\/(-9))\/(30\/(-45))*-82. What is the second derivative of -n*k**3 + a*k**3 + 46*k**3 - 5*k wrt k?\nAnswer: 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwwj when four letters picked without replacement from zwwwbwjgwgzzgbjbzzww?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2821)\/62 - -32) + 2\/(-8). Suppose -67 = 5*s - 4*w, 4*s + 5*w = -9 - 61. Is z < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6)*-3 + sqrt(1500)\/sqrt(10))\/((sqrt(24) + sqrt(216)\/sqrt(36))\/(sqrt(8) - (sqrt(8) + -2*sqrt(648) + sqrt(8)) - sqrt(8))).\nAnswer: 64*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3896421*v**3 + 2*v**2 - 273779270 wrt v.\nAnswer: -11689263*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -947 = -1012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 17*y + 5. Calculate w(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k - 309. Let j(g) = -23*g**3 + 2*g**2 + g + 2. Let i be j(-1). Let w be p(i). Solve -9 = -3*d - w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 23*c + 25. Suppose -3272*j = -3261*j + 264. Determine q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -427 - -427.00523. Round a to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016065 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1052286\nAnswer: 1\/1052286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*h + 37 = -h, -6 = -2*h. Solve -3*z + 2 = -l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = y - 38, 0 = 5*y + 2*k - 4*k - 167. Let t be -15 + y - (-1 - 1). Solve -t = 2*v - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from hbhbqhhbhhhbhbbhhh?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 24*a + 1262, 3*p - 708 = 75*a - 77*a. What is the greatest common factor of p and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -188825*w**2 + 28295*w + 7330 = 0?\nAnswer: -733\/5395, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/20 - 2*p**3\/15 - p**2\/10 + 12. Factor x(n).\nAnswer: -n*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3393024, 3393153, 3393282, 3393411, 3393540, 3393669?\nAnswer: 3393798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Calculate the smallest common multiple of 3056 and 40.\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77677938 to the power of 1\/2, to the nearest integer?\nAnswer: 8814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189*a*u**2 - 11*a - 838*u**2 with respect to a.\nAnswer: -189*u**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15 - 21\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) 16 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvdvxnsd. What is prob of picking 1 n and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = 105. Suppose -5*i + 2*o = -131 - 5, -4*o - 38 = -i. Let k = z - i. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-108095)\/(-39912))*14\/21.\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/228287 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4 - 2*p**3 - 114*p**2 + 290*p + 400 = 0.\nAnswer: -8, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4 - 4*v**2 + 3*v**3 + 5*v - 8 + 0*v. Let c = 1 - -2. Let f be g(c). What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16200 and -109\/6480.\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -6437 = -6437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 7*o + 2*t + 82 = 0, -o = -4*t + 66. Is -43 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12775, -13734, -16329, -21376, -29691, -42090, -59389?\nAnswer: -82404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i. Let d(h) = 22*h - 4 + 4. Give d(v(b)).\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**2*w + 40*n**2 - 39*n*w**4 + 3*n + 2*w**4 wrt w?\nAnswer: -n**2 - 156*n*w**3 + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o + 13*o - 12 + 0)*(-1 - 6 - 3).\nAnswer: 50*o + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(10\/(-100)*5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.99 in -1, 3\/4, -12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1420c (base 13) to base 11\nAnswer: 26362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -1\/30*f**5 - 2*f - f**2 + 0*f**3 + 0 + 1\/12*f**4. Let l(v) be the first derivative of j(v). Factor l(y).\nAnswer: -2*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 1175.2.\nAnswer: 1089.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**3 - 3*c**2\/2 + 52*c + 3. Let w(d) = 12*d + 7. Determine -7*k(o) - 3*w(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 14. Suppose -4*t + 90*j - 87*j = -52, -4 = j. What is the remainder when t is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6290193 divided by -4?\nAnswer: -6290193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 532*s**2 + 1202366*s\/3.\nAnswer: -2*s*(s - 473)*(s + 1271)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*z - 4, -2*z - 3*f = 2*f + 10. Suppose z = 3*x - 23 - 34. What is the greatest common divisor of x and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 228563?\nAnswer: -22855c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8 - 7 - 1 - 2*d**2. Let n(j) = 77*j. Calculate w(n(z)).\nAnswer: -11858*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-3)))\/(q*q\/(q**(-2\/5)\/q)*q))\/((q*q*q**1)\/q)**(-24) assuming q is positive.\nAnswer: q**(233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/279 and -43\/708.\nAnswer: 65844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 912.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 16. What is the closest to -0.1 in v, 1\/7, -3\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-9*(-1254)\/(-3591))\/((-6)\/7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -960*u**3 + 2*u**2 - 5. Let d(b) = -480*b**3 + b**2 - 2. Determine -5*d(y) + 2*x(y).\nAnswer: 480*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 23 (c) -2\/59 (d) 1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166.08 + 166. What is the second smallest value in 4, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 59976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 538, 1228, 2194, 3436?\nAnswer: 4954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -650 - -3?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:52 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*w**2 + 494*w - 17391 wrt w.\nAnswer: -246*w + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 901468 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 6, 0 = -18*v + 22*v + 3*y - 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48.132*-0.2\nAnswer: 9.6264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(666\/(-6216))\/((-14)\/40)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-1\/5)*w))\/w**(-11))\/(w\/w**(5\/4))**(-2\/23) assuming w is positive.\nAnswer: w**(2571\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03101277 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 11, i: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 1477*u**4 + 727662*u**3 - 119812824*u**2 + 114738336*u + 714572928.\nAnswer: (u - 492)**3*(u - 3)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5463 plus 0.8863?\nAnswer: 2.4326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + -50. Let j = 62 - x. Suppose 0*i - 87 = -3*i - 2*g, -4*i + j = -2*g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4*r**(3\/8))\/((r\/((((r*r\/((r*(r*r*r**2)\/r)\/r)*r)\/r)\/r)\/r))\/r)**12)**(-2\/69) assuming r is positive.\nAnswer: r**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - v**2 + v - 632. Let p be h(0). Let o be ((-333)\/36 - 2)\/(1\/p). What is o rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -10. Let a(k) = -6*k**2 - k - k**3 + 7 - 3*k**2 + b*k**3. Let s be a(-9). What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -346.5 - -346. Let l = -0.04 + 2.04. Let q(b) = -2*b + 35. Let j be q(19). What is the third smallest value in n, -1\/3, j, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22657.18 and -15.97.\nAnswer: 22641.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67770891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*i - 14 - 39*i**4 + 161*i - 5*i in the form y*i + m*i**4 + u*i**3 + z + s*i**2 and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + (sqrt(7200) + 1)*-2 + -5 + 2*(sqrt(7200) + sqrt(7200) + 1 - sqrt(7200) - sqrt(7200))*-3))**2.\nAnswer: 3360*sqrt(2) + 28996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2, 1\/4, -6, 0 in ascending order.\nAnswer: -6, -5, 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20785653841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5048933.\nAnswer: 5048933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)\/z)\/(z\/(((z\/(z**(10\/7)*z))\/z)\/z)) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 13*d**4\/4 + 2*d**3\/3 - 7*d**2\/2 - 1589. Let f(t) = 1 + 7*t**3 - 1 - 4*t + t**2. Calculate -11*f(j) + 6*q(j).\nAnswer: j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.2566 times -4.7?\nAnswer: 15.30602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3272722903 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 162\/3*2\/6. Suppose 2 + x = 5*t. What is the first derivative of t - 9*i + 2 + 7 - 3 wrt i?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77905*k**4 + 72043 wrt k?\nAnswer: 311620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.1. Let g = 105249.054 - 105422. Let r = 173 + g. Is r greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 6 + 2*g - 16)*(6*g**4 - 4*g**4 + 2*g**4).\nAnswer: 8*g**5 - 184*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 17*s = 0. Let n be s*(-4 + 45\/10). Let b be n - (1 - 2 - (0 + 1)). Solve 4*k + 10 = 3*w, -5*k = 5*w - b - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438 + 914 - 468 + 152*d**3 - 3 + d**3 + 3 + (-2*d**2 + 3*d**2 - 3*d**2)*(-2*d + 0 + 0) to q + j*d + p*d**2 + l*d**3 and give l.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749033 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2546094919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y + 10 - 7 - y**2 - 4. Let g be w(-6). Which is the nearest to 1\/3? (a) -2\/23 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30*v - 113. Suppose 2*r = -3*b - 23, 3*r + 20*b - 15*b = -37. Let t be q(r). Solve 0 = -p - 5*c + t, -3*c = c - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*(-2774)\/2432)\/(1\/(((-96)\/6)\/4))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(((-1)\/(-6))\/((-215)\/258))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 - 2*z + 5. Let y be v(1). Solve 8 - y = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 18*c + 7241. Let t(p) = -5*p - 2410. Determine 2*h(k) + 7*t(k).\nAnswer: k - 2388","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 15*h + 16. Let k be u(14). Let d(y) = 4 + 2*y - 3 - y**2 + 1. Let q(z) = -12*z**2 + 27*z + 27. Determine k*q(l) - 27*d(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*d = -5*c - 186*d - 7, -3*c - 11 = -4*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus -2.32642084?\nAnswer: 2.31642084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*i**3 + 47*i**3 + 0*i**2 - 5*i**2.\nAnswer: -201*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/394 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 equal to -3398\/2969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -4. Let j = t + -8. Find the second derivative of -10*x**2 - 4*x + 10*x**j - 5*x**4 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100 (base 2) to base 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -10 (c) -2 (d) -7 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 24 + 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 20*p + 118*p = 0, 0*k + 4*p = 4*k + 2*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3182, 3184, 3186, 3188, 3190, 3192?\n\"Answer: 2*w + 3180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -317, 0.062, 2.4, -6?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.044, 8\/421, 2?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -0.6017?\nAnswer: -0.006017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -446277466*a**4 + 274491203?\nAnswer: -1785109864*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0923 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112857251 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**2 - 25*t + 5. What is the units digit of r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405.92 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 3*o - 9*o + 2)*(-o**2 - 6*o**2 + 2*o**2) in the form m + t*o**3 + z*o**2 + x*o and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1005\/1675)\/(6\/(-220))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.8 + 9. Let x = 1.193 - p. Round x to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2849, 5754, 8663, 11576?\n\"Answer: 2*u**2 + 2899*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:35 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 14 = 3*f - w, -f + 5*w = -18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*c + 4*c. Suppose 5*q + 7*x = 4*x + 482, -c = -x. Suppose 5*b + 3*n = q, 3*b + 0*n - n - 62 = 0. Calculate the least common multiple of 8 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1190, -1171, -1130, -1055, -934, -755, -506, -175?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44625755 divided by 5.\nAnswer: 8925151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l - 80. What is p(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 562*-0.4\nAnswer: -224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -49, -0.06, -4, 0 in descending order.\nAnswer: 0, -0.06, -3\/2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -185 - -826. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288434, 576863, 865294, 1153727, 1442162?\nAnswer: 1730599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 12 - 32 = -6*g, -g - 265*f + 270*f = 4 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(34\/(-51)*-2) - 1*-3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125108*k - 52660 wrt k.\nAnswer: 125108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 22*b**2 - 3*b - 32. Let m be p(-11). Let c be 16\/((-160)\/8690010) + m + 0. What is c rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -13, 6, 51, 128, 243, 402, 611?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 13*z**2 - 66*z + 39. Suppose -4*l - 58 = 5*g, l + 291*g - 289*g = -13. Calculate j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.53709443 rounded to 3 decimal places?\nAnswer: -2.537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 901186 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33962879\/504 - 67387. Calculate the common denominator of j and 69\/14.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/14)\/z*z*(z\/(z*z**(-1\/7)))\/z*(z*z**5)**(-34) assuming z is positive.\nAnswer: z**(-2867\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 55. Let c(q) be the third derivative of q**5\/60 + 9*q**2 + q. Let x(k) = 6*c(k) - v(k). What is the first derivative of x(l) wrt l?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -20\/19723?\nAnswer: -20\/19723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*r - 162, -3*r + 172 = 2*q - 33. What are the prime factors of r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 2. Sort w, 3, -1.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*n + 13*n + 2 - 2.\nAnswer: -134*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -44825686.3504?\nAnswer: -44825686.3604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/12 - 2*k**3 + 29*k**2\/2 - k + 171. Give x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1219*b**2*o**3 + 15*b**2*o*u - 15*b**2*u + 3*b*o**3*u**2 - 4*b*o*u**2 - b*u - 2*o**2*u**2 wrt o?\nAnswer: 7314*b**2 + 18*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7634019409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31836846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 188*l + 0 - 25\/2*l**2 - l**4 - 1\/3*l**3. What is the derivative of y(b) wrt b?\nAnswer: -24*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in -6, 5, -7.2?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 5. Let h(b) = 2*b - 6. Let w(t) = -4*h(t) - 5*o(t). Give w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-942)\/(-33) + 12\/(-22). Suppose -5978 = -k*y + 882. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*b = -b + 40, 5*b + 66 = 4*f. Suppose -3*q = -6*q. Suppose q = 3*z - 2*z - f. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 510017?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -27*q**2 + 18*q - 92. Let o(z) = 285*z. What is o(x(b))?\nAnswer: -7695*b**2 + 5130*b - 26220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + 0*s**3 + 9*s**2 - 10*s**2 + 4*s**3. Let k(c) = -4*c**3 - 2*c**2 - 5*c. Let d(h) = k(h) + 2*m(h). List the prime factors of d(-3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897\/27 + ((-21)\/(-27) - 1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 0*q**2 - 13*q**2 + 14*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*(-6)\/(-90)*-10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -91. Let p be -16*-1*(-2)\/4. What is the nearest to 1 in k, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -6, 5, 3690, 2 in ascending order.\nAnswer: -6, -5, -1, 2, 5, 3690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.6 (c) 0.08 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 11*g**2 + 2*g + 25. Let o be n(-11). Suppose -3*t + 7*t = -3*j + 244, 0 = -j + o*t + 64. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 6 = r. Let t(f) = f + 0*f**2 + 5*f + 7 + 10 + f**2. Does 23 divide t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 39. What is g(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -4, 0.1, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - g**2 + 3*g**2)*(g**3 - 1166*g + 939*g - 742*g).\nAnswer: -g**5 + 969*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -16, 92, 256, 464, 704?\n\"Answer: -2*f**3 + 46*f**2 - 84*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4482 = -4*n, -5*n = -3*v - 5611 - 19. What is the remainder when n is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:09 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 528059548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -3, -0.02232?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*m + 3. Let t be (-3)\/(0 - 3) + m. Which is the nearest to -0.1? (a) t (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 5*a - 2. Let k be i(1). What is the tens digit of ((-6 - -5)*4 - k) + 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 1152?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {s: 1, t: 1, p: 2, h: 2, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -1 (c) -329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/6 - 7*l**3\/6 - 2*l**2 + l. Calculate the remainder when t(6) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2 + 20229858*g + 34103929558347 = 0.\nAnswer: -3371643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 + 131. Is -1\/2196 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 19586210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58280260 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, f: 1, e: 2, t: 4, o: 2}. Give prob of sequence tet.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/6 - 2\/3. Let c = t + 6. Let k be c - ((-9)\/3)\/1. Solve 4*b - k*o + 19 = 7, b = -5*o - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6208 - -9573. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13795?\nAnswer: 5, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f + 5. Let s be v(3). What is the greatest common factor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.2301 rounded to one dp?\nAnswer: -157.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185863 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 + 32*n + 36*n - n - 67 to d + y*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -1 (c) -0.5 (d) -1251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13406 + 6680?\nAnswer: 19a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 225272, 225285, 225298, 225311, 225324, 225337?\n\"Answer: 13*x + 225259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2275113.744 to the nearest one hundred.\nAnswer: -2275100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/11, 0.3, 2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3))\/((m\/(m*m**(4\/3)))\/m))**(-1\/16)*(((m*m**(-3))\/m)**(-2\/11))**(-4) assuming m is positive.\nAnswer: m**(-1361\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133 - 70 + 12)*(0*q - 3*q + q) + 2*q + 0*q + 0*q as x*q + u and give x.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -328*y + 118. Let c(g) = 110*g - 39. Let x(z) = -8*c(z) - 3*u(z). What are the prime factors of x(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjccwsdk. What is prob of picking 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1069 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -10. Suppose 2*l = -2*l + f. What is the smallest value in 1, l, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 412 - 132 = 0. Suppose 68*l - 231 = 2761. Calculate the greatest common divisor of l and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/104 and -42\/143?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410034 (base 15) in base 9?\nAnswer: 5726154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1550*u - 6 = -1554*u, -2*o - 5*u + 14 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3168690, 3168706, 3168724, 3168744?\n\"Answer: a**2 + 13*a + 3168676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 648, 657, 666, 675, 684?\n\"Answer: 9*o + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 2*t + 1. Let u be q(1). Let i = 2.8 + -0.5. Let b = -2 + i. What is the second smallest value in 5, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 17*u = 60*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -2*c + 30*k - 14*k - 14*k, 0 = 4*k - 48 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 879059 and 0.2.\nAnswer: 175811.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.41 + 1.\nAnswer: 40.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66294 or -66333?\nAnswer: -66294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -4, -1.6, -7, -0.416?\nAnswer: -0.416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/75 - -2\/25. Let g = -7.3 - -7. Let m = g - -0.3. What is the nearest to t in -2\/15, m, -3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2. Let b(j) be the second derivative of -61*j**4\/12 + j**3\/6 + j + 46. Give b(a(y)).\nAnswer: -1525*y**4 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20485 + -20484.99928596. What is w rounded to five decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 18 + 10 = 0. What are the prime factors of (-6)\/x - 142*(-3)\/6?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnttnugudtf. Give prob of picking 2 u and 1 d.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**3 + s**2. Let f(u) = -27*u**3 - 3*u**2. Determine -3*f(k) - 7*n(k).\nAnswer: -17*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0771 less than 0.1027?\nAnswer: 0.1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -8, -1, 2 in ascending order.\nAnswer: -8, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-46258)\/(-4) + (-104)\/16 + 10 + -2?\nAnswer: 2, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:07 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717870.\nAnswer: 2, 3, 5, 23929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/9 - 46*x\/9 - 152\/9 = 0?\nAnswer: -19, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -112*j - 43. Let a be y(6). Let g = 1072 + a. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -80*v + 16. Let k(s) be the first derivative of -3*s**2\/2 - 1419. Calculate p(k(b)).\nAnswer: 240*b + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:22 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 + 18*h**4 + h**3 - 2*h + 11*h**4 - 25*h**4 to z*h**4 + q*h + j*h**3 + m*h**2 + l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o**2 - 52*o + 14. List the prime factors of c(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4 - 2 + 9*k + 5*k**2 + 7. Let c(h) = -h**2 - 2*h - 2. Let o be (-2)\/(-4)*(-3 + 38 + 1). Give o*c(z) + 4*l(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -3*w**3 + 11\/2*w**2 + 13*w + 3. Let i(p) = 2*p - 6*p**2 + p + 7 + p**2 + 3*p. What is 6*h(m) - 11*i(m)?\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-9)*108\/(-12). Suppose -i = -b*o - 5*i + 26, 0 = -4*o + 2*i - 2. Solve 0 = o*f - 2*a + 16, -3*f + 5*a + 6 - 38 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58312 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l + 12. Let f be a(6). Let x = -29 - f. Suppose 0*b - x = -3*r + b, 3*r - 3*b = 33. What is the remainder when 27 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7*(o**7*o*o)\/o)\/(o**(-1\/2)\/(o\/o**(1\/2))) assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45750537 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 8*h + 1233*h**3 - 1205*h**3.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 + 4545*y**3 + 31710*y**2 + 63360*y + 36192 = 0. Calculate y.\nAnswer: -1508, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*o - 6. Let x be -4 + (-3 + (-22)\/o)*-2. Is x bigger than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 5. Calculate the greatest common divisor of 30 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - -0.3. Let u = 2.97 - k. Let m = -113\/4 + 28. Put m, -3, u in descending order.\nAnswer: u, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 779, 3217, 7337, 13187, 20815?\nAnswer: 30269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -101362280350.\nAnswer: -101362280346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 5)*(-121352 - 790*p + 121352).\nAnswer: 6320*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -336 at least -1339\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 933873450 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1941303, 1941325, 1941355, 1941387, 1941415?\nAnswer: 1941433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -7, -3 in decreasing order.\nAnswer: -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 561?\nAnswer: -9537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -23 - 349*i + 96 + 35 + 372*i. Give l(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342749900 divided by -71705\nAnswer: 4780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 - 6291096*a\/5 + 3298157406768\/5.\nAnswer: 3*(a - 1048516)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -11 + 0 + (-36 - -37) + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 5, -8.\nAnswer: -8, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -313313464?\nAnswer: 313313452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)*a**(-5\/2))\/((a\/(a\/a**(-1\/3)))\/(a*(a**(4\/3)\/a)\/a)) assuming a is positive.\nAnswer: a**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhp when three letters picked without replacement from {h: 6, y: 2, p: 1, d: 4, q: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23447.8806 and -28823?\nAnswer: 52270.8806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 1. Let c(i) = 4*i**2 - 12*i - 13. Let o(r) = c(r) + 5*x(r). Let a be o(-11). Suppose a*y + 20 = 5*y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15933 is divided by 270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*c - 21 + 5, 0 = -3*w + 15. Suppose 15 = 2*p + c. Let j = 14 - p. Calculate the smallest common multiple of j and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225073807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 427227666 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 + -137. Let h = 26.8 - a. What is the smallest value in h, -0.4, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397156494 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/18098 (b) -20\/7 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -29*h. Let u(f) = 5*f - 3719. Give u(a(x)).\nAnswer: -145*x - 3719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 565 + -563. Calculate the remainder when 23 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 2253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249 - 173. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3, j: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z - 223049 + 220749 = 0 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 744 divided by 31\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -53796 (base 10) in base 4?\nAnswer: -31020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3845441.\nAnswer: 3845441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6262 and 19375?\nAnswer: 3913750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 3. Let s(y) = 7*y - 9. Let w(j) = 15*j - 18. Let i(d) = -5*s(d) + 2*w(d). Let r be (24\/10)\/((-6)\/20). Let n(g) = r*p(g) - 3*i(g). Give n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j + 413. Let n be u(51). Suppose 18*x = n*x + 3432. What is the remainder when x is divided by 2 - 2\/2 - -52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*u. Suppose b - y + u = 1, -b - 5 = -2*y. Is (-2 + b - 2)*-37 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49705073?\nAnswer: 11, 4518643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 61 = 3*r, 99*p - 1596 = -2*r - 216 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/26)\/((-218)\/(-1417))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215930\/79 or -2733?\nAnswer: -215930\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-1068)*-102939*3\/240. Let v = j - -6\/445. Find the common denominator of v and 121\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)\/z*z\/z**(2\/7)*z)\/(z*z*z*z\/(z*z**(-1\/3)\/z)*z*z)**(1\/13)*(z**(-1\/2)*z\/(((z*z**(-1\/11))\/z)\/z))**43 assuming z is positive.\nAnswer: z**(206615\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 4*l + 3*l + (2*l - 4*l - 3*l)*(-3 + 0 + 2).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -2\/3, 0.3, -0.5, 168\/2573?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23366 or -23365?\nAnswer: -23365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l + 24*l - 5*q = 36, -2*l + q = -10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10121222 (base 3) to base 16\nAnswer: -a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let u = -70 - -147. Let j(o) = 105*o + 77 + u - 154. Give f(j(p)).\nAnswer: 105*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116 - 107) + (-91 - (-9 - (9 + -8))).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-290)\/(-377) - (-6)\/26. Let n = 0.3 - 0.2. Sort n, l, 5.\nAnswer: n, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/36, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -43. What is the greatest common divisor of 72 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51753*u**2 + 51751*u**2 - 2*u - u**3 + 2*u + 121.\nAnswer: -u**3 - 2*u**2 + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/63 and (-70)\/135 - (5 + -5 + 1).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(0*u**3 + 3*u**3 - u**3 + (-4*u**2 + 4*u**2 - 2*u**2)*(-5*u + 3*u + 0*u) + 256*u**2 + 26*u**3 - 256*u**2).\nAnswer: -96*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.6681 micrograms?\nAnswer: 0.0086681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.4 - -29.334. Let x = u + 0.066. Sort 0.4, x, 2 in decreasing order.\nAnswer: 2, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 302*y\/13 + 123280\/13.\nAnswer: -2*(y - 335)*(y + 184)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a22 (base 12) to base 3.\nAnswer: -2000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81\/154 - 1\/22. What is the third biggest value in 21, g, 0.09?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let l(v) = -v**2 + 4*v + 4. Let a be l(5). Let x(c) = 12 - 3 - 121*c + 105*c + 3. What is a*x(w) - 12*h(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68 - 16*k**2 + 70 + 55*k**3 + 18*k**3 wrt k.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 3:54 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702303 is divided by 93.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -129, -125, -119, -111, -101?\n\"Answer: g**2 + g - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8)\/m**(-2\/15))\/(((m\/((m**(1\/10)*m)\/m))\/m)\/(m\/((m*m\/((m\/m**9)\/m))\/m)))*(m**(-3\/2)*m**0)\/(m**(1\/2)\/m*m**(-7\/3)\/m) assuming m is positive.\nAnswer: m**(-757\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y**2. Let j be (6\/((-24)\/20))\/(0 + 1). Let h(m) = 14*m**2 - 1. Let n(b) = j*q(b) - 4*h(b). Find the first derivative of n(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -505355 (base 9) to base 3.\nAnswer: -120012101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/7 + 237*z**2 + 67665*z\/7 - 50933007\/7 = 0 for z.\nAnswer: -347, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/24)\/(6\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 459*k**3 + 645*k**2 + 11*k + 11. Let f(b) = -230*b**3 - 324*b**2 - 6*b - 6. Let z(h) = -11*f(h) - 6*r(h). Find the third derivative of z(s) wrt s.\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 10. Is 4 a factor of w(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 11*u**2 + 15*u**2 - 10*u**2 + 3*u**2.\nAnswer: -3*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002 (base 7) in base 9?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.3, -1\/39?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270270 and 69300.\nAnswer: 2702700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -14, -10, 6, 40, 98?\n\"Answer: p**3 - 3*p**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p + 35. Let j be n(-5). Solve 0 = 2*i + g - j*g + 26, i + 3*g = 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 12*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 23 = -5*j, -j - 15 = -5*j + u. Let p(v) = -2*v - j*v + 0*v - 9 + 0*v. Let z be p(-2). What is the highest common factor of z and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-5))\/(2 - (-72)\/(-30)). Suppose -2*k = -5*h + 11969, -5*h - q*k + 11984 = -k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/159 and 8\/159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 + 2. Let h = 3\/1222 + 2429\/6110. What is the nearest to h in -1\/4, c, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2590 - -8873. Is y a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.05 (b) -1 (c) 1\/6 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -342. What is the greatest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 24672, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 10*c + 5*r = -22, 4*c = -3*r + 44. Suppose 7*w - 9990 = -c*w. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 17425\/459 - 30\/(-810).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*((k**(-1\/22)\/k*k)\/k)\/k*k*k**(-7) assuming k is positive.\nAnswer: k**(-155\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0 - 3 + 1 + 1 + 5*g. Let m be o(1). Suppose 30 = -m*d + 6*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.413 meters in micrometers?\nAnswer: 367413000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 16*y**2 + 26*y - 5. What is the hundreds digit of h(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 + 7*b - 7. What is r(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a7 (base 14) to base 13.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - 123*p**2 + 70*p + 3038. Determine d(-41).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 142*v**3 + 3*v**2 + v - 1. Calculate q(-1).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16974424 divided by 1?\nAnswer: 16974424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 2*w**4 - 5*w**4)*(-6 - 4*w + 6) + (1 + 3 - 1)*(5*w**5 - w**5 - 6*w**5) - 2*w**5 + w**5 + 3*w**5.\nAnswer: 20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q + 1. Let d(s) be the third derivative of -s**5\/6 - s**4\/8 - 7*s**3\/6 - 317*s**2 + 2*s. Give -d(j) - 6*x(j).\nAnswer: 4*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 14. Suppose g = r*g. Let q = g + 3. Solve -t - v + 3 = 0, -5*t - 2 - q = -5*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -42?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + -4. Let g = h - -199. What is the smallest common multiple of 4\/14 + g\/35 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.74479207 rounded to 2 decimal places?\nAnswer: 7.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8053370*k**4 - 128*k**2 - 12676*k?\nAnswer: -193280880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b - 22*b + 35*b + 133536 = 0. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -g - 10. Suppose 177 = 3*z - g*r, 2*z + z + 2*r - 182 = 0. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4005)\/12905)\/(1\/(-29))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 22177 - 8677. What is q rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-32)\/(h*h**(-6\/23)\/h) assuming h is positive.\nAnswer: h**(-730\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 44.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 76 = 0. Let c = b - -21. What is the greatest common divisor of 18 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/3*v**5 - 28\/3*v**4 - 80\/3*v + 124\/3*v**2 - 52\/3*v**3 + 16\/3 = 0. Calculate v.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/19)*t)\/t)\/t*t*t**(1\/2))**(-48)\/(t**(2\/5)\/t*t**(-4))**(8\/3) assuming t is positive.\nAnswer: t**(-1904\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 2244558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 12*v**2 - 12*v - 27. Let s(k) = 237*k + 224. Let i be s(-1). Determine o(i).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 4*j - 2. Is i(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*y + 421*y + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 276 = 240 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -15, -4*h - 3*o = -4*o - 137. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -130. Suppose -2*j + 3 = -15. Calculate the highest common divisor of u and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 - -102. Let a be g\/(-5) + (-2464)\/(-220). Solve -2*m - 15 = 5*d - 4*m, 2*m = -4*d - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133 + -3429.807?\nAnswer: -3429.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768*w = -765*w - 9. Let p(f) = -2*f**3 + 2*f**2. Let v(y) = y**3 - 2*y**2 + y. What is w*v(t) + 2*p(t)?\nAnswer: -t**3 - 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j - 5*j)*(-3 + 3 - j**3) + 45*j**4 + 20*j**4 - 11*j**4 + 2*j + 3*j**4 - 2*j.\nAnswer: 56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 48*m + 1 + 36*m - 34*m + 28.\nAnswer: -46*m + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 21. Calculate the greatest common divisor of f and 1292.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267005471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 6 = 2*t + h, 5*h + 1 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.3. Which is the smallest value? (a) -9 (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/7 in 29, -3\/8, -1, 1, -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 21*l + 58 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 + 16. Calculate t(-5).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329837821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5*k + 1. Let i be c(4). Let d be 22\/33*-6*i\/12. Solve 3*f + d = g - 0*f, 0 = 3*f + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57071086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2195*c**3 - 569*c**3 + 2 - 449*c**3 - 748*c**3 to the form b*c**3 + j*c + g*c**2 + k and give b.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.101923?\nAnswer: -0.0407692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21 and 220867.\nAnswer: 220846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 + (-7)\/2)\/((-52)\/(-78)) and -101\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + l = 12. Let g(p) be the third derivative of 7\/6*p**3 + 0 + l*p**2 + 0*p + 1\/8*p**4. Calculate g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuttzuuwktjujtjzztz. What is prob of picking 2 t and 1 j?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/13 - -14\/39. Let o be (-34)\/52 - (-2)\/4. What is the nearest to 4 in o, v, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = y, -7*a + 3*a + 17 = 3*y. Suppose 0 = -3*s + s + a. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((1\/24)\/(-1))\/(4\/498) and -81\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-144)\/(-45) + -3)\/(26\/15). Sort 4, -0.2, q in descending order.\nAnswer: 4, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10812\/742 - (-4)\/(-7))*25\/10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, q: 4, r: 3}. What is prob of sequence iqrq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*m**3 - 5*m**3 + 11*m**3)*(-1 + m - 2*m - 3*m).\nAnswer: -132*m**4 - 33*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540.4 + 6?\nAnswer: -1534.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 527246581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-267)\/6). Let o = -91\/178 + s. Which is the closest to o? (a) -4 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t + 53*t + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 519073580.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2215)\/228588)\/(25\/(-40))?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 9*m + 10. Suppose 4*p + 4*l = -32, -p - 3*p = 2*l + 28. Let f be o(p). Let i be 4\/f*-1*0. Solve 2*d + d = i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 4. Let f(o) = -o + 1. Let c(v) = -v - 6. Let s(x) = -c(x) - 3*f(x). Suppose -1 = -3*n + 5. Let d(a) = n*s(a) + 3*r(a). Give d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 2835*y**2 - 186657*y - 2543625.\nAnswer: -3*(y + 19)*(y + 51)*(y + 875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 35777460?\nAnswer: 35777460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**2 + 2*r**2 + 12 - 8 wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 11*l**2 - 2*l - 36. Let r be g(-11). What is the lowest common multiple of 21 and (-35)\/r*(-216)\/(-10)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-15) - 2\/3. Let w = 55.3 + -53. Let s = w - -0.7. What is the third smallest value in s, q, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, -4, 0.04, -2, 2\/5 in increasing order.\nAnswer: -4, -2, 0.04, 2\/5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -49*h**2 + 6*h - 1. Let d(w) = -10*w**2 + w. Let j(n) = -11*d(n) + 2*u(n). What is the tens digit of j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 5*i - 8. Let u be m(-5). Let x be 236\/30 + u\/(-60). Solve -2*j + x*j + 30 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 - 388. Let g(k) = 55*k + 25. Let l(b) = -9*b - 4. Let y(r) = -4*g(r) - 25*l(r). Determine y(z(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 9*n - 91. Let d be x(9). What is the highest common factor of 71 and d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-52)\/8)*2 - 3. Let g(k) = 12*k**2 + 11*k - 6. Does 20 divide g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1052776 or 1052752?\nAnswer: 1052776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -789*i + 802*i - 351 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 12*h + 11. Suppose 0 = 3*s - 42 + 3. What is the lowest common multiple of 18 and o(s)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/5 + 3899*q**3\/5 + 497496*q**2\/5 + 948244*q\/5 - 783536 = 0. What is q?\nAnswer: -3767, -130, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*u - 11 = -211*u + i, -33 = 4*u + 3*i. Solve v**2 + u + 4*v - 1\/2*v**3 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*v - 6*v + 252 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64045, 128049, 192053, 256057?\nAnswer: 320061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19760 = 61977*q - 61483*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 4*g + 4*g. Let q be a(5). Let b(s) = s**2 - 5*s + 2. Let u be b(3). Sort u, q, 0 in increasing order.\nAnswer: q, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/37, -16, 0, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 36*j**2 - 168*j - 101. Give w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5761671, 11523350, 17285029?\n\"Answer: 5761679*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 17*l**2 + 15*l + 56. Let t be z(18). Let r(p) be the second derivative of 2*p**t + 5\/12*p**4 + 0*p**3 + 0 - 4*p - 1\/20*p**5. Calculate r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*u**2 + 1206591*u + 122753126 wrt u?\nAnswer: -6*u + 1206591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -22222021220?\nAnswer: 22222021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + -2 - (-8 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - b. Let a be j(1). Let h(m) = 55*m. Suppose -3*n = -59 - 25. What is the remainder when h(a) is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f*m**4 + 1935*f*m + 2*m**4 wrt m.\nAnswer: 132*f*m**2 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 425300 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 - 38*r + 38*r - 3*r**2 to x*r + u*r**2 + d and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 5*t**4 + t**4)*((9*t + 8*t - 5*t)*(3 - 1 + 0) + 6*t + 7*t - 17*t - 2*t + 2*t - 2*t).\nAnswer: -72*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638616?\nAnswer: 2, 3, 11, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10342030.7594+-0.1\nAnswer: 10342030.6594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -16033960?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 69363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.748721 rounded to 0 dps?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20038263738 less than -18?\nAnswer: 20038263720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k + 6. Let b(g) = -32*g - 5. Let p(i) = 19*i + 2. Let c(f) = 3*b(f) + 5*p(f). Calculate -4*c(x) - 3*l(x).\nAnswer: -3*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48cc2 (base 14) in base 5?\nAnswer: -21200023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*h - 391 = 0, -5*h - 614 = -2*k - 199. Suppose k = 2*w + 3*w. Suppose c + 16 - w = 0. Calculate the remainder when c is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a**2 - 4*a - 6. Let n be f(-5). Let p = n - 5. Suppose 5*o - 6 - p = 0. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1466, -5861, -13186, -23441, -36626, -52741, -71786?\n\"Answer: -1465*n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivviipujnpji. What is prob of picking 1 i, 2 j, and 1 u?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2623133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*j**2*r + 344*d*r**3 + 20721*d*r**2 - 275016*j**2*r**3 wrt j?\nAnswer: -4*d*j*r - 550032*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:44 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*a - 57. Suppose 7 = 3*o - c - 67, 5*c - 20 = 0. Let z = a + o. Calculate the smallest common multiple of z and 58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -338, -1\/12, -60, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612*p + 574*p - 232*p.\nAnswer: 954*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/2)\/c*c**(-1\/14) assuming c is positive.\nAnswer: c**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 885230 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2277\/32 - -14827\/224. Let d be (-372)\/(-70) + (-6)\/(-15). Let k = d + v. What is the nearest to 0 in k, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248.25 - -214. Let q = 35 + s. Let g = -1.28 + q. Round g to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s. Let t(o) be the third derivative of 0*o**3 - 3*o**2 + 0*o + 1\/12*o**4 + 0. What is h(t(l))?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*4 + 0)\/1. Is (-17)\/2*8\/j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*i**3*j**2 - 203344*i**3*j - 21884424*i**3 wrt j?\nAnswer: 94*i**3*j - 203344*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-11\/4)*v*v*v**(-2\/59) assuming v is positive.\nAnswer: v**(51\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 2, f: 1, g: 3}. Give prob of picking 1 m and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*i - 17*i + 60*i + (-i + 3*i - 4*i)*(0 + 0 + 2) - 6*i + i + 4*i - i - 2 + 2)*(29 - 87 + 26 + 4*i + 9).\nAnswer: 36*i**2 - 207*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 94221 to the nearest 1000.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10222 (base 3) to base 13\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 106*v**2 + 1557*v + 25. Calculate w(13).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(57\/342)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-12)\/(2640\/(-11))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 37 = -2*o + 176, 3*o + 193 = 5*f. Suppose t - f = -32. Calculate the common denominator of 79\/30 and (-2)\/t - (-438)\/(-297).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, -124612, -2, 5 in descending order.\nAnswer: 5, -2, -3, -16, -124612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 13*w**2 - w - 1. What are the prime factors of s(-13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 - 623116*p + 6853792 = 0 for p.\nAnswer: 11, 155768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2702 (base 10) to base 5\nAnswer: 41302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bda when three letters picked without replacement from {z: 2, a: 5, b: 4, d: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 450\/7 + (14 - 2300\/161)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a**3 - 6*a**2 + 5*a + 7. Is y(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 665, 367, -3, 2, 5 in descending order.\nAnswer: 665, 367, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -586*z + 579*z - 56 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*(-2)\/88)\/((-3)\/(-66))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 7, s: 3, c: 2, b: 5}. Give prob of sequence sbzo.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l - 1\/4*l**4 + 0 - 45\/4*l**2 - 23\/2*l**3.\nAnswer: -l**2*(l + 1)*(l + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. What is the units digit of v + 4 + 6\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568488483 to the power of 1\/3, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 - 28*x**2 - 23*x**2 + (-1 + 2*x + 1)*(-2*x - 2 + 2) to the form f + h*x**2 + t*x and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. Suppose -64*z = 16*z - 1920. Put n, z, -2 in descending order.\nAnswer: z, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 2*i - 4 + 4*i**2 + 2. Let b be u(-2). Let o = -12 - -24. Calculate the greatest common divisor of b and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 80*l**2 + 382*l - 6. What is r(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/10)\/((-23)\/(25875\/(-180)))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0369192 - -5.\nAnswer: 5.0369192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 9 = 11*o. Let w(l) = 5*l**3 + l**2 - 8*l - 4. What is the tens digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2641\/6, 0.149?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(2*-2*sqrt(128) - (sqrt(128) + 1 + 5)))**2 + -4.\nAnswer: 30720*sqrt(2) + 207100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnbnkans?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/24 - 14*h**3\/3 + 196*h**2 - 47*h. What is y in b(y) = 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 47*t - 59. Let i be q(18). Let x = i - 461. Solve x = 33*f - 31*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232 + -4?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) -0.074 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, i: 3, s: 3, d: 7}. Give prob of picking 1 s, 2 d, and 1 k.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-15)*r)*(r\/(r*r**(-9\/7)))\/r assuming r is positive.\nAnswer: r**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 60 = -6. Suppose -5*q = z*q - 33. Put -4, q, -5, 5 in decreasing order.\nAnswer: 5, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (2*sqrt(7) + 1 - sqrt(7)))**2.\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -479, -6, 0.593, -2\/13 in decreasing order.\nAnswer: 6\/7, 0.593, -2\/13, -6, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2300010 (base 5) to base 10\nAnswer: -40630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249507 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g\/g**8)\/g)))\/g**(1\/3)*(g**7)**(-6\/19) assuming g is positive.\nAnswer: g**(-601\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 24, -4*a = -44*j + 49*j - 49912. Calculate the remainder when a is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*j**2 + 8*j.\nAnswer: -4*j*(17*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 15*x + 3. Let p be g(15). Suppose -4*d - 3*t + p + 5 = 0, 0 = t + 4. Suppose -s = -3*o - 80, -2*o = -d*s + 200 + 213. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + -17 + 18 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 9)\/(-6) + 70. Suppose -m*g = -66*g. Solve -2 + 9 = -3*u + x, g = -u + 2*x + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86615*y**3 - y + y - 86612*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -17, 1\/6, 8 in increasing order.\nAnswer: -17, -0.3, 1\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/10 + 3\/2. Suppose 3*z - h = t + 2*t, -2*z + 3*t - 1 = 0. What is the remainder when 2 + -1 - -12 - -1 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5303 = 4*y + 17*a - 8*a, 4*a = -2*y + 2652. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 42. Let s be n(11). Let b(j) = -j**3 + 13*j**2 - j + 15. Let o be b(s). Calculate the greatest common factor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**9\/m)\/m**(-4)*(m*((m*m**19)\/m)\/m)\/(m\/(m*m*m**9)))**(-12) assuming m is positive.\nAnswer: m**(-492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 + 2 = -4*t, -v - 10 = 4*t. Let a(z) = -186*z**3 + 5*z + 2*z**v + 185*z**3 - z - 4 + 0*z. Let c be 2\/(-4)*(-12)\/2. Give a(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23868 divided by -2?\nAnswer: -11934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1377)*6)**2 + (sqrt(1377) - (sqrt(1377) + 0)) + 1.\nAnswer: 198289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.3 (c) -3\/5 (d) -0.5 (e) -0.11 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8) + 2 + -16 + 9 + 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 592\nAnswer: -1\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2*a - 4. Let u(z) = z**3 - z + 4. Let n be u(0). Let f be v(n). Solve -2*k = -3*k + 3*r - 5, f*k + 5*r = 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 3*s**8\/448 + s**7\/280 - s**6\/80 + s**2\/2 + 3*s. Let x(l) be the first derivative of f(l). Find u such that x(u) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258054845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Let d be -2 + -1 + -1 + 117. Suppose -m = -b*x + 2*m + 168, 3*x + m = d. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1056 - 5.\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 1001080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2773840 = -6*p - 2773654 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 1 (c) -3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*v**3 - 4*v**2 + 51*v + 51421 wrt v.\nAnswer: -27*v**2 - 8*v + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -4726273288288?\nAnswer: -4726273288309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - (-44)\/6. Suppose -4*c + 105 = 5*m, -7*m + 5*c - 42 = -9*m. Calculate the greatest common factor of m and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4117*t**2 + 414*t. Let d(o) = -40*o**2 + 4*o. Let l(h) = 207*d(h) - 2*u(h). Let m(y) = -30*y. What is l(m(p))?\nAnswer: -41400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 5*d**2 + 50*d + 7. Let b be x(-5). Let f(h) = h + 8. Let l be 9 + -10 + (-5 - 0). Let j be f(l). Solve -b*q = -j*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/420 - l**4\/28 - l**3\/6 + 1897*l**2. Suppose y(c) = 0. Calculate c.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 304*m**3 + 95*m**2 - 95*m. Let z(u) = -19*u**3 - 6*u**2 + 6*u. Calculate 6*p(v) + 95*z(v).\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuz when three letters picked without replacement from buooutzoooauzozozzuu?\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 99, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -24) + 24 + 10 + -33.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36815, -73264, -109713, -146162, -182611?\n\"Answer: -36449*g - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57346256\/608 + 1\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.005 in -5, -4\/55, 0.1, 6, -30?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9051059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (57\/(-38))\/(2\/(-4)). Solve -r = 5*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 21*o = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = x + 51, 4*x = 17*y - 13*y - 2 + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**4 - p**3 + p + 1. Let g(r) = 5*r**4 + 4*r**3 - 4*r - 4. Let h = 8 + -7. Let x(c) = h*g(c) + 4*a(c). What is d in x(d) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/13)\/v)**(-35)\/((v*v**(3\/2)*v*v*v*v*v)\/v)**(-34) assuming v is positive.\nAnswer: v**(3188\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 8. Let s = 8 - n. Solve -s = -5*u - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7136\/147739 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232103030 + 20?\nAnswer: 232103110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -40*h**2 - 9*h + 36. Let s(j) = -10*j**2 - 2*j + 9. Let k(m) = -9*s(m) + 2*u(m). Find the first derivative of k(q) wrt q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2\/9 - 181*s\/9 - 482\/3.\nAnswer: (s + 6)*(10*s - 241)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 35, -36, -173, -382?\n\"Answer: -q**3 - 24*q**2 + 68*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:43 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 - 9*u - 9. Let i be x(9). Let b be (2 - 1) + 1 + i. Let r = 610 - b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1) + -1 - -16. Let k(p) = 2*p**2 + p - 11. Let v be k(-3). Solve 5*w = h, 3 = -3*o - 0*w - v*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkhyhhhyhhhhyhkhky. Give prob of sequence hk.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 a factor of 1307870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1495*i + 10390. Calculate t(-8).\nAnswer: -1570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 46, 4, 3, 6 in increasing order.\nAnswer: -6, 3, 4, 6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/27 and -151\/162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6321 and 5?\nAnswer: 31605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/((-6)\/(-15)). Suppose 4 = 2*o - 6, -2*d + 109 = x*o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25835 + -25833. Solve -5*b + 16 = 4*x, -b + a*b - 4*x = -16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 65\/3, -62.\nAnswer: -62, -3, 6, 65\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 95.9999859. What is q rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-1\/15)*c\/c**1*((c*(c\/c**(-1\/4))\/c)\/c)\/(c*c\/c**(-1\/14)*c) assuming c is positive.\nAnswer: c**(-373\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125864384 - 125864384 + 23*k.\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 21*j - 76. Let r(t) = 31*t - 114. Let g(c) = -5*r(c) + 7*u(c). List the prime factors of g(-12).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 5*y**4\/12 - 20*y**3\/3 + 35*y**2\/2 - 111*y. Factor g(m).\nAnswer: 5*(m - 7)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 74\/11413537?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 3*f - 4*f + (-2 - 4 + 4)*(24 + 22*f - 24) + (1 - 5 + 2)*(-f + 0*f + 2*f).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -12. Let p = u + 15. What is the remainder when 15 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 2*p + 2. Calculate d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, 11, 8\/67?\nAnswer: 8\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404660.\nAnswer: 2, 5, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -200*v + 6192. What is n(31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**8\/4032 + h**7\/840 + h**6\/144 + h**5\/20 - 6*h**2. Let s(f) be the third derivative of j(f). Is s(-4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 7:08 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, m: 1, j: 1, r: 1, n: 4, s: 1}. Give prob of sequence smww.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4108, -16359, -36726, -65167, -101640, -146103?\n\"Answer: 7*u**3 - 4100*u**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (271 + -285)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1127 - 570 - 557 - 12*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*a**2*h**3*j**2 - 4*a**2*h**3*j + a**2*h**3 + 7*a**2*j**2 + 27*h**3 wrt j?\nAnswer: -284*a**2*h**3 + 14*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4667, -10, 0, 24, -3 in descending order.\nAnswer: 24, 0, -3, -10, -4667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -2*w + 85. Suppose 4*p - 130 = w. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 24374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i + 2. Let c(q) = 8*q + 2. Let b(o) = 4*c(o) - 5*p(o). Let n be b(-2). Let s = n + 1. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 4*a + 118 = 0, 1 = 6*j - 4*a + 125 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -721 + -2\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -21*a**2 + 21*a**2 - 10 + 7 + 5*a**2. Let l(f) = f. Calculate l(y(j)).\nAnswer: 5*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34a3 (base 12) to base 7.\nAnswer: -23103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.024 + 2.976. What is the nearest to -0.3 in 0.04, w, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27974, -27333, -26692, -26051, -25410, -24769?\nAnswer: -24128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 140, 1488, 4898, 11324, 21720, 37040, 58238, 86268?\n\"Answer: 159*n**3 + 77*n**2 + 4*n - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 2\/41 (c) 0.03 (d) 0.035 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1045\/(-627))\/((200\/15)\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001762655393 to 7 dps.\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 2*n + n)*(-130 - 169 + 45) + (3 + 2 - 6)*(-2*n + 0*n + 0*n) + 5*n - n - 3*n + 3*n - 3*n + 2*n.\nAnswer: -1011*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-14)*(-9)\/(90\/20). Let s = -18.1 - -18. Let u(o) = o**2 - 8*o + 3. Let z be u(8). Which is the third biggest value? (a) j (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-324*t - 230*t - 64*t)*(0 + t + 0) as v + k*t**2 + q*t and give k.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aofhxfxhoxxf. Give prob of sequence xoa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*r**2*y**3 + 2*r**2*y**2 + 51639*r**2*y + 156*r*y**2 wrt y?\nAnswer: -84*r**2*y + 4*r**2 + 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124896 and 1248?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 9*w - 38 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-14)*(-71)\/((-923)\/(-1742)) - 6\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*k**2*n**4 - 482303*k**2*n**2 + 2*k**2*n + 25006*k*n + 3*k - 2*n - 2 wrt n?\nAnswer: 1008*k**2*n**2 - 964606*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2692+2260013.7077\nAnswer: 2257321.7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 157 - 10*y - 157. Give o(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 + 4. Let w be y(3). Let k be ((-27)\/18)\/((-3)\/w). Let f be (21\/k + 3)*2. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3173 + 3176. Let z = 82 + -47. Let a be 25\/z*(-4)\/(-10). What is the third biggest value in d, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184798*r**2 - r + 129425 wrt r.\nAnswer: 369596*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52638 and 236871?\nAnswer: 473742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -54. Let d(q) = -q**3 + 3*q**2 + 3*q - 5. Let z be d(j). Solve 3*f - 4*f = 2*c - 8, -4*f + z = -c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-24) - (-89)\/(-132) and -83\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48073671 divided by -314207?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**3)\/(f**(-8\/9)\/f) assuming f is positive.\nAnswer: f**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x. Let n(a) = -2*a**2 - a + 1. Let v(r) = -13*r**2 - 6*r + 6. Let j(p) = 6*n(p) - v(p). Determine j(k(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) -3 (d) -3\/64 (e) 3\/5 (f) 0.12 (g) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20447705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85319239163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:38 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -202053\nAnswer: -1818477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b5 - -1?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3121*b + 1035774 - 1035774)*(-b**4 - 2*b**4 + 2*b**4).\nAnswer: -3121*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 3*b + 6, -5*w - 2*b = 4. Which is smaller: -1\/4 or w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - j)*(-j + j - j) - 10*j**2 - 3*j**2 - 24*j**2 - 647 + 4*j**2 + 647 + 3*j.\nAnswer: -32*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 + 108 = 3*k. Let r = k + -58. Let t(g) = 10*g - 30. Is t(r) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/56 and -65\/2664.\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 492?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 - -145. Let x = 85 - y. Suppose -3*b - b - x = -5*u, 4*u + 3*b - 15 = 0. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.45 - -0.5. Let b = -1.087 - q. Round b to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38, 3, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 957223 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y + 3*m, y = 4*y + 2*m - 20. Let s be (-13)\/11 + -2 + 1. Let f = -2 - s. What is the second biggest value in y, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 741 - 691. What is the remainder when f is divided by 13 + 0\/(-4) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 71940124518?\nAnswer: -71940124517.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 5*q + q + q - 9*q.\nAnswer: -2*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykk when three letters picked without replacement from {k: 2, y: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1521\/977 - 23384595\/6839. Let c = 3414 + w. Which is smaller: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -58 + -12 - (-11 + 31).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*a = -32, 0 = -2331*u + 2332*u + 4*a + 16. Let q = 8 - 4. Put q, u, 2, 5 in ascending order.\nAnswer: u, 2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 9*t - 8. What is the units digit of j(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 5429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*l = 63 - 1463, 0 = 5*l. What is the highest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13606457*x - 13606380*x - 3542 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 20300?\nAnswer: -20307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 5*q**2 - 9. Let x be i(-3). Suppose -5*r = 47 - x. Suppose 5*z - z - 12 = 0. Solve n - g = z, 0 = -3*n + 5*g + 1 + r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -10397924, -32, -0.1 in decreasing order.\nAnswer: -0.1, -1\/2, -32, -10397924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-798)\/(-6251) - (-5181)\/282?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 11*m - 4. Let l be o(8). Let y = -10 + l. What is the remainder when y is divided by 3 - -3 - 0 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11084768 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**(-3)*b)*b*b)*b\/b**(2\/9))**(2\/37))**(22\/3) assuming b is positive.\nAnswer: b**(-1672\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 1. Suppose -15 = 2*c - 5*c. Suppose c*f = -12 - 13, f = 5*n - 35. Let t be ((-4)\/(-6))\/(114\/18 - n). Give g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33124 - -33124.3. Which is greater: m or -5\/242?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33264 and 470484?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 - 1875*s**4 + 234375*s**3 - 9765625*s**2.\nAnswer: 5*s**2*(s - 125)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3219 + 1965. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 84916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 - 17*l + 174\/5.\nAnswer: -(l - 2)*(l + 87)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b**2 + 2*b - 1. Let x be a(3). Let h = x + 16. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-5 + -2*(-1 + sqrt(17)) + (sqrt(170) - 2*sqrt(170))\/sqrt(10)).\nAnswer: 10 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.428 - 0.032. Let a = -0.05 + 0.11. Let p = a + f. What is the smallest value in p, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -17. Suppose -4*z + 4*j + 3696 = c, -2*j + 3419 + 1166 = 5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 4:48 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.405 - 0.005. Round x to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 26*l = -350. Suppose 103*r - l = 98*r. What is the smallest common multiple of r and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -504, -1010, -1516, -2022, -2528, -3034?\n\"Answer: -506*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*h + 73. Let y(z) = -20*z**2 + 4*z - 10. Let m(c) = -c - 2. Let k(r) = h*m(r) - y(r). Find the second derivative of k(j) wrt j.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Let w be (-11)\/(-11)*s\/(-113). Let i = -335\/226 + w. Put 0.5, -1\/2, i in descending order.\nAnswer: 0.5, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28334 is divided by 315.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -1072, -229 in increasing order.\nAnswer: -1072, -229, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-1))\/(-20)*90\/(-12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - -557.\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -0.8823. What is a rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254896178 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + -80)*(-21)\/15. Suppose -6*s = -t - 13. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 5, 4, 1, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1090814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*c = -145, c - 98 + 6 = -2*b. Let w be b\/12 + 2\/8. Suppose -w*l = -0*l - 12. Which is bigger: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w - 2*w)*(37*w - 35*w - 43*w) + 2*w**2 - 3*w**2 + 4*w**2.\nAnswer: 167*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(0*k + k + k) + 14 - 6*k - 14 + (3 - 2 - 2)*(-3*k + k + k) - 5*k + 4*k + 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 + 22\/12. What is the third derivative of 6*f**2 - 3*f**2 + 16*f**6 - 3*f**m + 17*f**2 wrt f?\nAnswer: 1920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 1, 38 in descending order.\nAnswer: 38, 8, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r + 82. Give b(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12952 divided by 6476?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 36)*12\/126.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.563 rounded to one decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*70\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 94 and -17582785.\nAnswer: -17582691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 440. Suppose 2*b - 32 = -4*g + 2*g, -h = -4*g + 2*b. Let f = -42 + 92. Calculate the highest common divisor of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35216 + -0.027?\nAnswer: 35215.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5391, 10784, 16175, 21564, 26951, 32336?\n\"Answer: -u**2 + 5396*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.47 and 0.02?\nAnswer: -0.1094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.542, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 - 9*l + 11. Let s be w(5). Solve -4*t = -3*d + d - s, -4*d = 2*t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 326*t - 322. Calculate k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -65*p**2 + 21*p + 43*p**2 + 4 - 2 + p**3 + 3. Let g be r(21). Solve 2 = -j + g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.2, 0.4, -1028, 872.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -227 in 3, -170, -4, -0.1, 3\/5, 5?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 3.9. Let d = -248.41 - -251.41. Sort d, p, 71 in increasing order.\nAnswer: p, d, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.48 - -2.82. Let s = -8.3 + r. Put 1, -3, 0, s in descending order.\nAnswer: s, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 170. What is the lowest common multiple of 28 and j?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 81034 = 19*s - 27866. What is the highest common divisor of s and 1386?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.3 - -4.8. Put -1, t, 5, -16 in ascending order.\nAnswer: -16, -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 706*o\/5 + 2208.\nAnswer: -2*(o - 15)*(o + 368)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7717219515.\nAnswer: 3, 5, 31, 163, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5685 + 45411\/8. Let f = 34 + -44. Is t equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + v - 320 = 0, 2*v = 3*c - 204 - 47. What is the common denominator of c\/(-33) - (-8)\/16 and (69\/(-10))\/(4\/10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 166100 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.76619mg to grams.\nAnswer: 0.02576619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, 5, 1, -6349.\nAnswer: -6349, 1, 5, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 11) + -2 + -1 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 + -11?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -16 (c) -0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0, 434, 10, 5\/8 in decreasing order.\nAnswer: 434, 10, 5\/8, 0, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -2*j + 8, 3*j + 2*f = 12. Suppose -467 = -j*q - 5*x + 136, 0 = -3*q - 5*x + 451. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 18. Let f be r(4). Suppose 0 = f*l + 4 - 18. Let g be 1647\/21 + (-3)\/l. What is the highest common factor of 195 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + -2.05. Let r(h) = h**2 + 9*h - 35. Let w be r(3). Put 0, w, a in descending order.\nAnswer: w, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2616 and 120.\nAnswer: 13080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6686939.59 - -6686932.68999934. Let f = -12.1 - -5.2. Let p = f - d. Round p to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -55 + (4 + 7 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 242 + -242. Solve f = 2*w + 4*v + 24, -v = -2*w - 0*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0504581 weeks to minutes.\nAnswer: 508.617648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 532*q**5 + 28*q**4 - 9*q**2 - 5427465*q wrt q.\nAnswer: 10640*q**3 + 336*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(-1 + sqrt(2178))**2 - ((0 + sqrt(2178))**2*4 + sqrt(2178))) + (sqrt(2178) + 0)**2 + 3 + -2*sqrt(2178)*5.\nAnswer: -693*sqrt(2) + 4369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 635\/(-40) - 9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -1)*256\/1437696*156?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.1 (c) 7 (d) 3\/5 (e) 0.09 (f) 18.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from cwsceskkckwec?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1176257\/726100 - -1\/29044. Find the common denominator of c and 101\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2847*s + 37157 = -2774*s. Calculate the remainder when s is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 13. Let o be y(4). What are the prime factors of o\/((-2)\/(-12)) + 182?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -39*n**7\/7 - n**4\/4 + 4*n**3\/3 - n**2\/2 + 45. Find the third derivative of m(z) wrt z.\nAnswer: -4680*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*h + 29, h - 4*m = 2*h - 17. Suppose -n = -h - 2. Let v = n + -10. Solve 0 = v*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:25 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/280 - 4*v**5\/105 + 5*v**4\/56 + 3*v**3\/7 + 3*v**2 - 8*v. Find d such that y(d) = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4667957 * -26\nAnswer: 12.1366882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-62922*w + 125836*w - 62919*w - 236).\nAnswer: -5*w - 236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*g - 25 + 81. Suppose 0 = 4*d - 5*d + g. Find x, given that 4\/5 - 6\/5*x + 2\/5*x**d = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*6*sqrt(4)\/(sqrt(216)\/sqrt(12))*4)**2 + -5.\nAnswer: 48*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -4 (b) -0.2 (c) 2\/3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (31 - 46) + (-4 - -3) + (15 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2099, 4239, 6391, 8561, 10755, 12979, 15239, 17541?\n\"Answer: s**3 + 2133*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 802884281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995472 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*n + 2*n - v, -3*n = 2*v - 24. Let u be 2\/19 + 3680\/(-304). Calculate the lowest common multiple of n and (-1 - (-8 - u))*(-48)\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 7, 3 in ascending order.\nAnswer: -11, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/92 + -2\/23. Let a be 588\/154 - (1 + -3)\/(3\/(-6)). Let d be (-1)\/(-2 - -1*8). What is the nearest to d in t, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49579608119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99894879011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, o: 1, q: 4, i: 4}. What is prob of sequence qii?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i. Suppose 7*b - 2*b + 180 = 5*v, -3*v - b + 104 = i. Let u(t) = v*t + 27*t - 66*t. Let l(a) = -2*a. Give u(l(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767910 and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -c - 5*s, 4*s = 4*c - 19 - 9. Solve c*o = -6 - 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 7*a - 411 = 0, 9320*a - 9317*a - 927 = -12*q for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3\/4, -0.4, -13\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227947112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2921 + -561?\nAnswer: -3482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9*m - 103826 = 0, 453*b + 4*m = 450*b + 62304. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1512 - 0.1705\nAnswer: -1512.1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/6 + 5*t**3\/6 + t**2. Suppose 0 = 4*o - 42 + 14. Is w(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29945 is divided by 5989.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Let c = 1 - j. Suppose 4*o = -2*p - 20, -18 = -p + 4*p + c*o. Put -0.5, p, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*z - 260*z + 36 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2 and (1 - -146)\/(-3) + 1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1 - t + 0*t - 2*t. Suppose 0*n - 2*n - 6 = 0. Let k be q(n). What is the highest common factor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102888 by 34296.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 2 = -2*z + 5*m, -5*m = 0. Suppose -385 = -29*k + z*k. What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 2 - 4 + 2. Calculate the remainder when 75 is divided by h(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 147\/14)\/(16\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.6 - -14.6. Sort 0.1, -3, s, -4.\nAnswer: s, -4, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -14815*y - 74088. Determine g(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*i + 65. Suppose -2*l - i = -12. Suppose 232 = 243*v - 235*v. What is the lowest common multiple of l and v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14358 (b) -5\/6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 6*j + 5*j - 42, 496 = -j + 493 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from {q: 6, v: 2, t: 3, b: 2, a: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.4 + 35.39999747. What is z rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 3*c + 36, 16*c = -4*n - 208 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317130621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 6692\nAnswer: -3346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.036 (b) -1 (c) -2\/7 (d) -336.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(-4 + sqrt(500) + sqrt(500)*3 - sqrt(500)*2*6))**2*-1.\nAnswer: -2049024 - 40960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 29*n**2 - 155*n + 31. Let w be k(-21). Let a = -232 - w. Solve -3*h = -h - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/903)\/((-35)\/14*-3 - (-13 - -21)).\nAnswer: -2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 3 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:54 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 932, 1399, 1866, 2333?\nAnswer: 2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.820285 rounded to 1 dp?\nAnswer: -99.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let s(g) = -18436*g + 4. Let k(q) = -s(q) + u(q). Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18545 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: Suppose 1351*n + 24 = 1353*n. Solve -g - 5*z - n = -5*g, 0 = 3*g + z - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 202376 and -16.\nAnswer: -3238016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 1\/38 (c) 0.3 (d) 2 (e) -311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4 + 1.6. Let r = -5.23 - 0.25. Let w = r + k. What is w rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0328 and -4.\nAnswer: -0.1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -23 + 6 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/11 and -67\/12885.\nAnswer: 141735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:15 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 14*b + 2. Suppose 4*k + 28 = 4*i, -3*i = i - 3*k - 29. Suppose t + 5*m - i*m - 21 = 0, -2*t = 4*m - 22. List the prime factors of v(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/104 and -8\/266591585.\nAnswer: 2132732680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**5\/20 - l**3\/6 - 5*l**2 + 13*l. Let w be s(5). Calculate the greatest common divisor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32293 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 - 7*q**2 - 14*q + 33. Let f(s) = 9*s**3 + 6*s**2 + 15*s - 34. Let z(y) = 2*f(y) + 3*i(y). Is z(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q**5 - 50*q**4 - 70*q**3 + 315*q**2 + 320*q. Let u(a) = -8*a**5 + 25*a**4 + 36*a**3 - 157*a**2 - 160*a. Let l(w) = 3*r(w) + 5*u(w). Factor l(h).\nAnswer: 5*h*(h - 4)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67027 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eatnhaahaeeyaayetyay. Give prob of sequence ata.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4415150102 - 1?\nAnswer: -4415150103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817.\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(3\/(6\/(-2))). Let t = g + 6. Suppose -2*i = 4 - t. Which is greater: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1430234 (base 5) to base 12\nAnswer: 15499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521016 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 26 = -u, -5*u - 13*k = -9*k - 66. Let s = 507 + -219. Calculate the remainder when s is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 7267 = 14*z. Calculate the greatest common factor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h**3 - 14*h**2 - 25*h + 4. Let g be q(-2). What is the highest common divisor of g and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, i: 5, f: 2}. What is prob of sequence ff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fd8fb - 5?\nAnswer: -fd900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 10*s + 44. What is x(-16)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 38.7. Let y = l - 4. Is y at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*d - 43 + 42, 20*i - 180 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9067371128 to the power of 1\/3, to the nearest integer?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r + 17. Let z(f) = 7*f + 17. Let l(w) = 2*s(w) - 3*z(w). Find the first derivative of l(c) wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, c: 3, q: 2, x: 3, a: 2}. Give prob of sequence cfq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 49255632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {m: 4, v: 6, g: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6333*v + 33. Let n(g) = -4750*g - 24. Calculate -15*n(m) - 11*q(m).\nAnswer: 1587*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (sqrt(243) + -5 + sqrt(243)*-2)**2*-1.\nAnswer: -266 - 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 3, f: 5}. Give prob of sequence zqf.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 46*l + 69. Give i(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/15)\/(-10)*(7 + -8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 127966, 255831, 383696?\n\"Answer: 127865*r + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -24303315?\nAnswer: 24303310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3526684274?\nAnswer: 2, 89, 131, 151243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, -1\/2, 0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 s, and 1 k when four letters picked without replacement from txynksstn.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 120 = -12*w. Let o = -36 - w. Suppose 5*q - 204 = g, o*g = q - 0*q - 56. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 2. Let y(j) be the third derivative of j**4\/24 + j**2. Let g(h) = -m(h) + 2*y(h). What is the first derivative of g(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -353291*u**3 - u**2 + 14*u + 17. Is i(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1 + 1136.5?\nAnswer: 1126.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11100931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -15189 in descending order.\nAnswer: 2, -5, -15189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000111001 + -10?\nAnswer: -11001000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405556 is divided by 3721.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -1) + ((-3)\/2)\/(11\/(-121242)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1785387 - 1785384.946327. Let w = o + 0.70645. Let v = w - 2.76. Round v to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2187281 to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 187157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 5*q - 815 = 9*l, 3236 = 4*l + 4*q. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 3*k - 1, -s = -4*s + 4*k + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 485752*d**3 + 4437*d + 43 wrt d.\nAnswer: 2914512*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4185461762.\nAnswer: 2, 2092730881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*l - 168 = -4*j, -4*j + 328 = 4*l. Calculate the smallest common multiple of 7 and j.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 197*q - 15. Let v be a(-6). Let g = -821 - v. What are the prime factors of g?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x + 4. Suppose -4*v + 11 = 5*o, -6*v + 3*v + 16 = -x*o. What is the biggest value in -0.5, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37933*q**2*r*u + 1771*q**2 + 7*q*r*u + q*r + 226*q*u + 4*r*u - 4*r - 5 wrt q.\nAnswer: -75866*r*u + 3542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1909345896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 8\/153533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(270)\/(sqrt(20)\/sqrt(2)) + (2*sqrt(18)*-6)\/(-2*sqrt(384) + sqrt(384)).\nAnswer: 1 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 1 b when three letters picked without replacement from eeyxyybyyyyeeeexeeyy?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-8 + 17 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m = -608 + 445 - 798 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a factor of 11643637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 17*u - 61. What is the remainder when u is divided by (-2)\/4*4*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, j: 1, o: 2, s: 2}. Give prob of sequence os.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3032, -6063, -9094, -12125, -15156, -18187?\nAnswer: -21218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6371.9 + -6372. Which is smaller: o or 1078\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 5\/4, 25, -1.06, -1\/746, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107065 is divided by 53507?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:47 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/10)\/(3\/10). Let p be -3 + 1 - r\/(-1). Let s = -9 - p. Solve 0 = s*k + 3 + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 43 + 82 - s + 0*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 52 = -r, -r - 2*r - c = -130. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 4833 - 20*m**3 - 4849 in the form y + u*m**3 + j*m**2 + z*m and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + 1051\/10. Calculate the common denominator of 17\/14 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (10 - (-11 - -24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4 - 46\/184.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13676772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2633*s**5 + 10*s**2 + 61897*s wrt s.\nAnswer: 52660*s**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 243, 1022 in decreasing order.\nAnswer: 1022, 243, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + 10001120?\nAnswer: 10001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/17 (c) -2 (d) 51 (e) 19975 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/12 - 3*l**3\/2 + 13*l**2\/2 + 707*l + 1. Calculate u(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)\/k*k*k)**(-11\/4))**(-8\/15) assuming k is positive.\nAnswer: k**(44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 3*j**2 + 18*j - 3. Let h be b(6). Let i(f) = 12*f**2 + 3*f - 5. Calculate the remainder when i(h) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 3 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 3*w**2\/2 + 7*w + 1. Is o(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(2\/4). Let p(q) = 3 + 6 - 11 + 54002*q + 4. Let k be p(l). Round k to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*k**2 + 75*h*k - 63*h + 108862530*k**2 - 34*k - 146 wrt k?\nAnswer: 4*h + 217725060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 15*w + 17. Calculate q(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*g - 4*h - 4, -4 = -3*g - 2*h. Suppose u = p + g, -5*p = 2*u - 3*u. Calculate the least common multiple of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*g*j + 20*b*g + 3*b*j + 3*g*j - g - 80 wrt b?\nAnswer: -2*g*j + 20*g + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8072915063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 722 - 3607\/5. Sort o, -1, 8 in descending order.\nAnswer: 8, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332487 is divided by 467?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -23. Suppose 2*a + a + 5*u = 10, 0 = u - r. Suppose 2*n - v - 11 = a, 6 = -2*v + 4. Solve -l + 2 = n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, c: 5}. Give prob of sequence cr.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0*f**5 + 0*f**6 - 1\/8*f**4 + 0*f**3 + 3*f**2 + 0 + 0*f + 1\/105*f**7. What is the second derivative of i(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w - w - 2*w)*(1 - 2 + 2) + 0*w + 2*w - w + 2*w - 3 + 3)*(838 - 129 + 665).\nAnswer: 1374*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 12*k + 8. Let q be f(6). Let g(w) = -w**3 + 46*w**2 - 86*w + 100. Does 19 divide g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -44130104?\nAnswer: 44130140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81451920 or 81451917?\nAnswer: 81451920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b - 8 = 0, -3 = -t + 2*b. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715469278 to the power of 1\/3, to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - j + 77 = 58, 5*z - 2*j = -29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 68 and 438.5.\nAnswer: 506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 h when three letters picked without replacement from fhetghihhhegegt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f**2 + 2*f - 2. Let p be v(1). Find the second derivative of 5*w + 6*w**5 - p*w**5 - 4*w - 4*w wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139897256 divided by -69948628?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (399\/6)\/(2\/4). Suppose -t = -2*r - 5 - 16, -5*r + 14 = t. Calculate the greatest common divisor of t and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (80\/(-55))\/((-2)\/11). Solve l*w + 6*w = 84 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*k**4 + k**3 - 138 with respect to k.\nAnswer: -168*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 5:08 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -3.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-20 - (-68)\/(254320\/74525)).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 4*f + 5. Let i be u(4). Suppose 19 = -2*b - 5*w + 140, 0 = i*b + 5*w - 310. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*d**6*q**2 + d**5*q**2 + 479*d**2*q - 2*d*q**2 wrt d?\nAnswer: 11760*d**3*q**2 + 60*d**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (5\/(225\/8))\/(-13 + 16550\/1275).\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 185*k**3 + 4*k**2 - 5*k + 5. What is c(1)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 835 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 18*h**2 + 45*h - 1154. Is m(-49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179244, -179294, -179346, -179400, -179456?\nAnswer: -179514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 12*i**2 - 4538*i - 13614. Give t(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005931783 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -17) + -7 - -1) + (-6 - -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - 0 - 4 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*w**2 + 38*w + 1735*w**3 - 702*w**3 - 530*w**3 - 714*w**3 wrt w.\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/20 + 210\/(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -319*x**3 - 4*x**2 + 6*x + 1. Let t(z) = 1275*z**3 + 18*z**2 - 26*z - 5. Give 9*d(l) + 2*t(l).\nAnswer: -321*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9 and 5\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -291*g**4\/4 - 7*g**2\/2 - 13*g + 392. What is the second derivative of o(f) wrt f?\nAnswer: -1746*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h - 30. Let a(l) = -23*l - 63. What is -5*a(o) + 11*m(o)?\nAnswer: -17*o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose 2*r = -r + 24. Suppose o*p = -2*p + r. Which is smaller: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 + 3*a**5 - 4*a**5 + (a**3 - a**2 + a**2)*(0*a**2 + 0*a**2 - 2*a**2) + 6*a**5 + 2*a**5 - 2*a**5.\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k = -13*k + 138 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*u**2 - 28*u**2 - 8*u**3 - 44*u**2 - 10*u**2 - 18*u**2.\nAnswer: -8*u**3 + 42*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -202, 1, 1\/5, -2, 2, 4, 100 in descending order.\nAnswer: 100, 4, 2, 1, 1\/5, -2, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48065 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 + 4 - v**2 + 2*v**3 + 0*v**3. Suppose 0 = 5*x + 3*q - 33, -5*x + 0*x + 2*q + 28 = 0. What is the least common multiple of x and c(3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h**3 + 2*h**2)*(((-2 + 1 + 2)*(0 + 1 + 0) - 9 + 1 + 5)*(-1 - 5 + 4) - 3 + 5 - 1)*(2*h - 2 + 2).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7702*h - 1186113. Give n(154).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20099 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 0 + sqrt(1331) + sqrt(1331))**2 + -5)*1.\nAnswer: 11974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*s - 11 + 11)*(-5 + 2 + 4)*(3 - 5 + 0).\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000027658 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -528*l + 24. Suppose -8 - 3 = -2*c - 3*x, -2*c - x + 1 = 0. Does 60 divide f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 18*z**2 - 1154*z + 108. Give n(64).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*81\/(-54)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1568 - 1462. Calculate the remainder when 393 is divided by g.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.02 - 20?\nAnswer: -25.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4974)\/(-55543) - (-3642)\/(-268))*(-3)\/((-18)\/(-40))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1597 and 7.\nAnswer: 11179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*w**2\/9 - 17580869*w\/9 + 3196522\/9.\nAnswer: -(w + 1598261)*(11*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/147, 5, -14, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*o\/(o**(-5)*o))\/o))\/o**(4\/5))**10 assuming o is positive.\nAnswer: o**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**9\/63 + m**7\/105 - 23*m**5\/30 - 7*m**2 - 2. What is the third derivative of q(n) wrt n?\nAnswer: -960*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29642 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4300236, 4300232, 4300228?\nAnswer: 4300224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*s = -5*s + 20, -4*s + 13 = -l. Suppose l*h - 110 = -8*h. Calculate the least common multiple of h and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 431*d**2 - 367*d**2 - 29*d**2 - 187*d**2.\nAnswer: -1014*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {g: 1, e: 4, f: 2, v: 2, p: 1, b: 5}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 + 7*z**3 - 7 - 4*z - 5*z**2 - 13*z**3. List the prime factors of f(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(2\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40132*f**2 + 80260*f**2 - 40137*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -66, -91?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 7452?\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-152)\/(-36) + 4\/(-18). Solve 0 = b + u, 0 = 5*d - 5*b + 4*b + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3189.\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*3\/((-6)\/(-94)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 583\nAnswer: -126\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 1)**2 - (-5 + sqrt(32) + sqrt(2))) + -3.\nAnswer: 15*sqrt(2) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*s + 138 = 0, 0 = -4*s + 12. Let q = -16 - r. Calculate the least common multiple of q and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.7. Suppose -2*q = 2*d + 8, -4*d + 3*d = 4*q + 7. Sort q, -4, b in increasing order.\nAnswer: -4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*p**4 + 2*p**4 - 3*p**4)*(6 - 62 - 19 + 14) in the form v + i*p**4 + h*p**2 + x*p + d*p**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3211*b + 3723*b - 2906*b)*(-2*b + 0 + 0)*(-4 + 4 + b)*(-3 + 2 - 1).\nAnswer: -9576*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 69.10947 nanoseconds?\nAnswer: 0.000000000000799878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31920484, -63840966, -95761448, -127681930, -159602412?\n\"Answer: -31920482*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840.777173 rounded to the nearest 10?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 123, 410, 823, 1362, 2027?\n\"Answer: 63*k**2 + 98*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqo when three letters picked without replacement from eeqfeoffqfe.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2439086 divided by -158.\nAnswer: -1219543\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-2))\/(-10 + 9). Let r(s) = 2*s**2 - 2*s + 154. Let o be r(b). Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1950)\/525 - ((-12)\/(-21))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 5971 = 3*d + 3*w, 4*w + 9943 = 5*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.114941 and -0.007.\nAnswer: -0.121941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/10)\/(41\/82)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) + 16\/(-24). Let l = 18 + -11. Let w = b + l. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -115. Calculate the highest common factor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/60 + 5*c**4\/24 + 2*c**3\/3 - 8*c**2. Let p be s(-5). Suppose p*z + 2*z - 108 = 0. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89831 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*d = 55 - 12, 0 = -2*u - d + 31. What is the greatest common divisor of 154 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - -2787?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 8*w - 67. Let a be t(-13). What is the tens digit of -62*3*-2 + (-1 - a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*l - 9, 3*f + 2*f = -l + 7. Suppose -3*y = -s + f, -s - 3*y + 5 = -2*y. Which is the closest to s? (a) 0.3 (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 18 - 7, 3*b = 2*s - 7. Let k be (-2)\/(-3) + s\/(-3). Is 17 a factor of (-1)\/k + (-207)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -43. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 12, 22, 50, 102, 184?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -778.5023*-0.04\nAnswer: 31.140092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954525277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s - 5. Let q(f) = -22*f + 684. Let w be q(31). Suppose s*d - 8 = w. Solve r - p = -d*p - 10, 10 = -4*r + 2*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9295, 9313, 9333, 9355, 9379, 9405?\nAnswer: 9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -13. Suppose 5*p = l + a*p + 5, 15 = 3*p. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let h be l(-2). Suppose -4*q + k + 7 = 0, 0 = -5*q - 5*k + 15. Factor -c**2 + h + q*c**4 + c**2 - 4*c**2.\nAnswer: 2*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11176 = -3*c + 4643. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183080 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1571*c - 165 = -1574*c. What is the third derivative of 54*t**5 + 33*t - c*t**2 + 23*t + 20*t**5 - 55*t wrt t?\nAnswer: 4440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccplppsppbpspspcpz. What is prob of picking 3 s and 1 l?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 10*z + 5*z - 700 = 0 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 3:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/11*6\/(-63). Let f = 30396 + -30396. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3, 114, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/6 - 2*z - 48. Let q(x) = 28*x + 2. Calculate q(h(d)).\nAnswer: 56*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-14 + 52)) + 1 + 9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 20602*c + 14048*c + 2 + 1)*(3*c - 2*c + c) in the form v*c + a*c**2 + s and give a.\nAnswer: -13108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(-3 - 3 + 3)*(u + 0*u - 4*u - 5*u + u + 2*u + (-4 + u + 4)*(1 + 0 + 0)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 - 1 + 1 + (1 + b**2 - 1)*(2*b**2 - 2*b**2 + b**2) + 326*b**4 + 28*b**4 + 126*b**4 as v + j*b**4 + y*b + p*b**2 + u*b**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2013 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 34*c**3 + c**2 - 2*c - 6. Give p(-2).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/60 - 5*z**4\/24 + z**3 + 19*z**2. Determine k(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342938743 - 23727\nAnswer: 342915016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 128 + 11 + 1 + 6. Let h = m - 112. What is the greatest common divisor of 51 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 60. What is the second biggest value in i, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.99, 5.67, -0.08, 0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 14, 18.\nAnswer: -5, -4, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 + 224 = 3*g. Let r = g - 85. Suppose -2*a = a + r. What is a rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 - -3.9. Which is the second biggest value? (a) 4 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 - 4*v - 6. Suppose 0 = 5*f + 5*t - 120, 3*t + 131 = 6*f - 2*f. Suppose 7*y + f = -6. Calculate a(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12439 (base 12) in base 3?\nAnswer: -1021001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16059?\nAnswer: 3, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6203 - -6086. Which is the third smallest value? (a) -0.067 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622387 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 254 divided by 1\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 6:50 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 3.\nAnswer: 160\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(80\/150 + (-1)\/3). Calculate the highest common divisor of 135 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 6*x + 3. Let o be i(7). Let v be ((-5)\/33)\/((-165)\/(-198)). Which is the closest to -1? (a) o (b) -0.12 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.03 (c) -135234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 574.2077cm?\nAnswer: 5742.077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by 55.\nAnswer: 137\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -1.3?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 65*g + 2*g)*(g - 7 + 2*g - 5*g).\nAnswer: 130*g**2 + 455*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11475749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -21*u - 11. Let s(j) = j**3 - 14*j**2 + 33*j + 5. Let h be s(u). Solve 0 = h*k - 3*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4269287 is divided by 326?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -3 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 7*o**2 - 9*o + 17. Let z be x(8). Let f be (-4 + 33\/z)*3. Which is smaller: -9\/16 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -25*g - 3. Let p(d) = 731*d. Give p(s(q)).\nAnswer: -18275*q - 2193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 1, c: 1, z: 3, r: 5, n: 1}. Give prob of picking 1 c, 1 n, and 1 z.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 + t - 3. What is q(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 - 73 = -5*f. Let p = -28 + 215. What is the greatest common divisor of f and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11220 and 64020.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -19. Sort -2, 4, u in descending order.\nAnswer: 4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Suppose -h*l + 29 = -q + 117, 440 = 5*q - 2*l. Suppose 0 = -2*p - 2*p + q. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 100113?\nAnswer: 100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 26213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 15 = -43. Find the third derivative of -3*r**6 + 54 - 2*r**6 + 1295*r**o - 1297*r**2 + 5*r**4 wrt r.\nAnswer: -600*r**3 + 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63929651.\nAnswer: 463, 138077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 10*k + 2. Let y be z(9). Let a = y - -18. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2 - 14. Solve 5*a - a = -o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135814177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5328*m = 2*q - 5303*m - 96, 0 = -4*m + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - ((54 - -2) + -55).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 4*x + 3*x + (-2 - 1 + 2)*(0*x - x + 3*x) + 0*x - 4*x + 3*x + x - 1 + 1 - 3*x + 2*x - x + 3*x - x - 4*x - 97 + 97 - 21*x as g*x + t and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/4)*o)\/o)**(-42))**(-11) assuming o is positive.\nAnswer: o**(231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53196 rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = b. Find the second derivative of -c**3 + 6*c**b - 16*c + 4*c**3 wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 31632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 69?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226556497 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460466695.\nAnswer: 5, 13, 41, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 18. Let t(d) = d - 4. Let q be t(b). Suppose 3*h + q*h = 85. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -666, -4, 0 in decreasing order.\nAnswer: 0, -4, -20, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 43*a**2 - 9*a + 9. Let n(y) = -y**2 + 9*y - 17. Let g be n(4). List the prime factors of h(g).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*b - 171 = 63 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2*(-2)\/(-24)). Let l(c) be the second derivative of 2*c**3\/3 - 26*c**2 + c - 21. Let a be l(16). What is the greatest common factor of a and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/15*(17 + 1). Suppose 0 = 5*x - n*x. Let 8\/5*a**2 + x*a - 6\/5*a**4 + 0 - 2\/5*a**5 + 0*a**3 = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19947517?\nAnswer: 19947517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24c7 - 2?\nAnswer: -24c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 3 + -2.\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*d + 31 = -d, 5*d + 9 = 3*s. Let i(n) = -n**3 + 9*n**2 - 4*n - 10. Let u be i(s). Let l(m) = 8*m**2 + 15*m**2 - 2 - u*m**2. What is l(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -5*s + 8. Let u(m) = -2*m - 1. Let a(x) = x. Calculate s*a(h) - u(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -34 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780 = 12*g - 0*g. Differentiate -g - 62*q**4 + 65 - 87 with respect to q.\nAnswer: -248*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63358 + 86586 = 8*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 123, 180, 235, 288?\n\"Answer: -k**2 + 62*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1532 - -3063\/2. Put 0.5, 0.3, a in decreasing order.\nAnswer: 0.5, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.35 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p - 60. 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 the cube root of 90612926 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v - 2*v)*(2 - 7 + 0)*(-5*v**3 - 90*v**4 + 188*v**4 - 88*v**4).\nAnswer: 200*v**5 - 100*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y - 127*y - 80*y + 4 - 10*y - 3.\nAnswer: -203*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*(2 - (-63)\/(-18)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, a: 7}. What is prob of picking 1 a and 1 i?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 divided by -7?\nAnswer: -1138\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395211 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than or equal to 1.10789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 18 = -12*d - 9*l, 3*d + 4*l + 37 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 31 (c) 1\/6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1406)\/171 + (-24)\/(-108)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-1566)\/(-10295)) - -40\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/5 - 134068*v**2\/5 - 2246644504*v\/5 + 4493825296\/5 = 0.\nAnswer: -33518, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Is (-3)\/o*(-1 - -86) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6551, 22830, 49965, 87956, 136803, 196506, 267065?\nAnswer: 348480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087711 is divided by 695876.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 4:08 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 1, k: 4, t: 2}. Give prob of sequence ttkr.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1031 + -437. Calculate the highest common divisor of b and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 236 = -5*j, -j = 3*j - 4*z - 196. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 9*b + 65*b**3.\nAnswer: 65*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -346464, -4?\nAnswer: -346464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -161651 minus 0.0755?\nAnswer: -161651.0755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by (1 + 3 - -2) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 454?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -g + 562, -2*q - 1745 = -3*g. Suppose 339 + g = 3*k + 3*m, -k = 4*m - 308. Calculate the remainder when k is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 375216.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113055 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/257280 and 77\/54?\nAnswer: 2315520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 - -269\/3. What is the common denominator of -14\/43 and o?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 7300000 = -19*a. Suppose 0 = 79*v - 74*v - a. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/15, 97, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 22. Let p be u(-13). Let h be ((-28)\/3)\/(-2)*-6. Let v = p + h. Solve -5*q + 5 = 5*z, -v*q = z - 2 + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r. Let t(p) = -4*p**2 + 14*p. Let l(n) = -14*a(n) - 3*t(n). Let v(g) be the first derivative of 2*g**3\/3 + 14. What is v(l(d))?\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - -200. Suppose -2*s = 4*o + 122 - 120, 176 = -o - 14*s. Calculate the lowest common multiple of d and o.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*s - 1839 = -1830, 6*g = -5*s - 26 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 22. Let g be 2\/z*9\/6. Let y be -2*g*(-10)\/4. Let x(j) = 4*j + 10. Let h(m) = 3*m + 7. What is y*x(l) - 7*h(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 28*z**2\/5 - 102*z\/5 + 108\/5.\nAnswer: -2*(z - 9)*(z - 3)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190884163?\nAnswer: 7, 170126309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 1091741?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 3*s - 8. What is the remainder when p(5) is divided by 1 - 4\/(-4) - (0 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -23*l + 638. Let b be t(25). Solve 17*a = 80 - b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 - x**4\/3 + 5*x**3\/3 - 7*x**2. Give i(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2914, -11323, -25336, -44953?\nAnswer: -70174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24860*364\nAnswer: -9049040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 + 154. Let g(j) = -386*j - 45. Is g(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 + o**2 - o**2 - 3*o**4 + 2*o**5 + 3*o**4 + (3*o**4 + 4*o**4 - 5*o**4)*(-4*o + 3*o + 4*o).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13437 is divided by 117.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -83774184.43 to the nearest one million.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxaxtccappxllp. What is prob of sequence xtc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r - 35 - 107 = 229 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 21. Let h be j(-11). Suppose 2*t - 5*t = -15. Solve 5*g - 3 = -3*v - h, 0 = t*g + 4*v + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00259816009 to seven dps.\nAnswer: -0.0025982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639, -4897, -16415, -38823, -75751, -130829, -207687?\nAnswer: -309955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*g**2 + 18*g**3 - 18*g**3 + 12*g**3 - 406*g**2 + 648*g**2.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32633297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7475472*o. Let q(s) = -2*s**2. What is q(l(m))?\nAnswer: -111765363245568*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 + 3879*c**3 - 384*c**3 - 8*c**2.\nAnswer: 3495*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 3479*k**5\/5 - 3*k**2\/2 + 203*k - 2810. What is the second derivative of m(z) wrt z?\nAnswer: 41748*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 266 = -o. Let t be o\/323 + (-38)\/34. Let b(g) = -8*g**3 - g**2 - g - 1. Does 7 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7380 a factor of 3113450381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a meter in millimeters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6 + 20814\/(-90). Let m = 233 + f. Let a = 0.4 - -2.6. What is the nearest to a in -2, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0*m**2 + 0 - 2\/3*m**3 - 3*m + 1\/3*m**4. What is the second derivative of a(r) wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 128\/(-16) + 10\/2 + -11. Sort z, 2, -4, -5 in ascending order.\nAnswer: z, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50784373 from -332246.\nAnswer: -51116619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*b + 367953, 2*s - 6*b - 367952 = -2*b. Let r = -317974 + s. Round r to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/3, -395, 4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = -5*u + 17, 2*u + 4*v - 28 = 0. Suppose -6*y = -u*y + 2. Let p = y + 14. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-348)\/(-1440) - (-2)\/(-10). Let b(i) be the third derivative of 0 + 0*i - 1\/2*i**3 - i**2 - q*i**4. Differentiate b(o) with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.193, -0.1, 1\/41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*i**3 + 8*i**3 + i**3)*(-36 - 5 - 76 - 17) to f*i**2 + o*i**3 + r + j*i and give o.\nAnswer: -3082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -34, -64, -106, -160, -226?\n\"Answer: -6*j**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7945091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66361865?\nAnswer: 5, 883, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - -0.5. Let k = 1.3 + h. Let u = k + -0.6. What is u rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and (29\/(-4))\/((-189)\/(-28) + -6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/1922 + -71617\/14415. Calculate the common denominator of -77\/156 and f.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (-12 - -13 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -74*a**2 - 191*a - 773. Calculate f(-5).\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 387 + 799 + 58*v**3 - 20*v + 2*v**4 - 58*v**3 wrt v?\nAnswer: 8*v**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {m: 3, r: 10, e: 3, f: 2, n: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 25) + 21 + (4 - 4 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 173200 - 696658 = -10*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5950000 rounded to the nearest 100000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -17 + 0*f + 7\/4*f**4 - f**3 + 1\/2*f**2. Let z(c) = 8*c**3 - 4*c**2 + c. Determine 6*s(p) - 5*z(p).\nAnswer: 2*p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5 + 3. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 10*w - 150. Let 5*u**2 + 2*u**3 - w*u**2 + 6*u + 0*u - 3*u**2 = 0. What is u?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 + 4.667776\nAnswer: 2.467776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10705823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 8*z + 2. Let f be g(-8). Let j = 16.32 - 16. Let o = j + -0.52. What is the nearest to f in -0.4, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, i: 5, u: 5}. What is prob of sequence uicu?\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v + 4. Let d be (-1344)\/52 + 2\/(-13). Let l = d + 28. Let h(a) = 3*a + 1. Give l*z(f) - 7*h(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1272 + -1271.96. Which is the fourth biggest value? (a) -2\/3 (b) -0.6 (c) z (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 7664205*t + 3.\nAnswer: -7664205*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/15 - j**5\/30 + j**3\/6 + j**2. Is 4 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 5, c: 9, f: 3}. What is prob of picking 1 p and 1 f?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v. Let h(o) = o**2 + 3*o. Let z(n) be the first derivative of -4*n**3\/3 - 5*n**2 - 2. Let w(a) = 10*h(a) + 3*z(a). Give x(w(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517454277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10217.5721 to 0 dps.\nAnswer: -10218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = 4*a - 56 + 192, 0 = 3*a - 5*u + 58 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, 1 e, and 1 v when four letters picked without replacement from {l: 3, v: 7, d: 5, b: 1, e: 2}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 89 (base 16) to base 12\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18415621 divided by -1613\nAnswer: -11417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f**2 + 47 + 17 - 39*f**2 - 2*f**3 + 83*f**2.\nAnswer: -2*f**3 - 4*f**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*q**2 + 0*q**2 + 0*q + 4*q**4 - q wrt q?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (12 + (11 - 32))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 2440, 7135, 15666, 29161?\nAnswer: 48748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/(-2)*(-132)\/(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3, 4*l + 4*v - 94 = -l. Calculate the remainder when 160 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 1, q: 2}. What is prob of picking 2 q and 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let l(n) = -27*n**2 - 5. Determine l(i(g)).\nAnswer: -27*g**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 u, 1 i, and 1 f when four letters picked without replacement from hicifkcickufhffhuuui.\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 339.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*q, 7*f + 2*q = 2*f + 74686. Let r = f + -4096. Let x be 1 + (-76)\/(-8)*r. What is x rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56915723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 13*o**2 + 14*o + 2. Let w be i(-14). What is the greatest common factor of 14 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 48. What is the nearest to l in -1\/6, 2\/15, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/22*(46 - (-4 + 4)). Suppose -25 = -47*z + s. Solve -r = l - 2*l - z, 5*l + 14 = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -291400 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.4. Let x = z - 4.7. Let t = 1127\/26 - 87\/2. What is the nearest to -2\/7 in 2\/21, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:24 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-24)*3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6300420*m**3 + 13333982*m.\nAnswer: -37802520*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 160557832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and -125.\nAnswer: -21.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -160\/7773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*t - 12, 0 = 2*m + 5*t - 2*t - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 = -g - 4, 0 = -3*a - 2*g - 10. Suppose a*x = -3*x - 6. Let b = 5 + x. What is the biggest value in 3\/2, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2441244 - -0.2433. What is g rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(-1\/7)*n)))\/(n*n**(7\/3)\/n))\/(n**(2\/41))**(3\/8) assuming n is positive.\nAnswer: n**(-719\/3444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 + 3*d - 5. Determine g(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let x(g) = -120*g - 8390. Let p be x(-70). Sort p, h, 1\/2 in descending order.\nAnswer: p, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 - 5 - 2*m + 12*m**2 - 11*m**4 + 2*m. Let z(v) = 4*v**4 - 3*v**2 + 2. Let g(b) = 3*j(b) + 8*z(b). Find the first derivative of g(d) wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 22*n - 5. Let h(v) = 11*v - 3. Let g(r) = 5*h(r) - 3*z(r). Let s(o) = -33*o**2 + 57*o**2 - 26*o**2. Give g(s(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.322752*5\nAnswer: -1.61376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -2*l**2 + 79\/30*l**5 - 1\/6*l**3 - 33*l - 7\/4*l**4 + 0. Find the second derivative of p(d) wrt d.\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*w + 1 = -3*w, -5*w + 31 = 2*t. Suppose -4*x + t = -17. What is the second derivative of 2*c**5 + 5*c**5 - 6*c**5 - 4*c**x - 5*c wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 + 173. Let x = 578 - a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 - 152592 + 50862 - 4*d**3 + 50865 + 50865.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 9 = -5*n. Suppose -n*w + 2 = 2*p - 30, -2*p = -3*w - 32. Is 2 a factor of (-1)\/2*p\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, 2, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -22. Let z = y + -24.4. Put 1\/5, 5, z in increasing order.\nAnswer: z, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3 - -4) - (12\/(-126) + 9376\/(-336))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396848310 and 140664?\nAnswer: 1587393240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0211289 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 2*m + 28, -5*m + 55 = 4*w. Calculate the remainder when w is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.132, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14994 divided by -14994\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 52\/819 - (-2)\/14*-2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/16629 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**2 - 110*p. Let f(r) = -20*r**2 - 328*r. What is 6*f(g) - 17*l(g)?\nAnswer: -g**2 - 98*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -55.3. Sort -0.2, 3\/5, s, 1\/4 in decreasing order.\nAnswer: 3\/5, s, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, 55.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 2395*w + 44730.\nAnswer: -5*(w - 18)*(w + 497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80\/11 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**(-10)\/(g**0)**23 assuming g is positive.\nAnswer: g**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16321.9 + -4?\nAnswer: -16325.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeyeeye?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 23513.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 637\/4, 75, 0.2?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = -50*u + 61260. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456.93 rounded to the nearest ten?\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 44 + 58 = 0. Suppose -3*k + 0*k + 6 = 0. Suppose t = -k, -5*i - 4*t + x = -21. Calculate the smallest common multiple of 22 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 1:12 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 11:54 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2643253 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -486 - -486.03. Let j = 72.73 - 68.3. Let s = d - j. Round s to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/(10\/60)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 520c (base 15) to base 13\nAnswer: 7b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5064\/2743 + (-1)\/((-26)\/4). Let h(d) be the first derivative of 4\/9*d**o + 5\/27*d**3 - 3 + 4\/9*d + 1\/36*d**4. Factor h(f).\nAnswer: (f + 1)*(f + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t**5 + 44234*t**4 + 30542146*t**3 - 42151062*t**2 - 49696722*t + 22952268 = 0 for t.\nAnswer: -1383, -1, 3\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -17*r + 13*r. Let n be 2*(-4)\/(-220)*r. What is the second smallest value in n, -3\/2, 1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h + 169. Let a be z(13). Let w(y) be the first derivative of 1\/2*y**2 - 2*y**4 + a*y + 0*y**3 + 8. Find the second derivative of w(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2273*d = 2162*d + 9657. Calculate the remainder when 1555 is divided by d.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 1571.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1132893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10180 + 16051. What are the prime factors of k?\nAnswer: 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Let o = 2 + r. Factor 0 - 3*d**o + d**2 + 4*d - 2.\nAnswer: -2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 12. Let t(m) = m**2 + 18*m + 72. Let x be t(-6). Suppose x = -5*k + 4*k + 2, -5*k = -2*a. Calculate z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 131.0179?\nAnswer: -13.10179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrrkrrrakkaarvr. What is prob of picking 1 a and 2 r?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.594341 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.119? (a) 0.8 (b) 4 (c) -0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428575598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2 = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117767 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egguggupw. Give prob of sequence uu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v + 3. Suppose 2 + 1 = f. Suppose -2*b - 19 = f*b - h, 0 = 5*b + 4*h - 1. Let t(w) = -11*w + 7. Give b*t(m) + 7*x(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.036366 to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxbjbxajbxxbrx. What is prob of sequence bxba?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x + 408. Let f(k) = -12*k + 340. Let l(c) = -6*f(c) + 5*o(c). Let i(q) = -3265*q. Give i(l(w)).\nAnswer: -6530*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*j + 20. Suppose w + 3 = j. Factor 0*x - x**5 + w*x**3 - x + 0*x**3.\nAnswer: -x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 8}. What is prob of sequence ap?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 5*a + 5*a)*(a**2 - 1 + 1) + 3*a**4 - 3 + 3 - 18 - 91*a**4 + 34*a**4 + 50*a**4.\nAnswer: -a**4 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 - -539. What is the third derivative of -14*m**5 + 3*m**2 - m**2 - n*m + 215*m wrt m?\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121053450 divided by 30\nAnswer: 4035115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -33008000 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 13 - 121 = 3*m, 179 = -4*m - 5*p. Let g = m - -47. Let t(w) = -10*w**3 + w + 1. Let c be t(-1). Sort g, c, -1, 5.\nAnswer: -1, g, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 102, -3, -2, -15, 4 in descending order.\nAnswer: 102, 5, 4, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m - 2*z = 4, -3*m + z = 12. Let f = 0.3 - 0.4. Let x = f - -2.1. Which is the second smallest value? (a) x (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 8 = -x. Does 34 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -48 (b) 5 (c) 1\/9 (d) 0.5 (e) -393 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - l + 5 + 3*l. Determine r(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 + 44*w - 234. Let a(x) = 2*x + 1. Let t(b) = -5*a(b) + c(b). What are the prime factors of t(11)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 26. Let r = -7 - w. What is the third biggest value in r, 3, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 b, and 1 p when four letters picked without replacement from {b: 3, n: 1, r: 3, p: 6}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*a**2 - 139*a**2 - 158*a - 154*a + 477*a - 164*a.\nAnswer: -243*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*q - 3565, 15*q + 1420 = 2*t + 20*q. Let z = t + -720. Let g(m) = 2*m**2 + 2*m - 6. Determine g(z).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -17, 21\/43, -10, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5639000302 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976901220 to the power of 1\/2, to the nearest integer?\nAnswer: 44462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21575\/6 - -3617. Let y be -86*(-2 + (-3)\/18). Let f = 4063\/21 - y. What is the common denominator of f and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -0.76. Let g = t + 0.202. What is g rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 3, 31, 4 in descending order.\nAnswer: 31, 5, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/7259419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-13 + 6 - -12 - 8) + 12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 2*k = 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3511.48ml to litres.\nAnswer: 3.51148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, 1\/17, 58 in decreasing order.\nAnswer: 58, 1\/17, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 72 = -3. Calculate the common denominator of 466\/(-144) + (p - 15 - -12) and 10\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/2)\/((-1)\/(-4)). Let x(v) = -2*v - 4. Calculate the smallest common multiple of -3*(b\/3)\/(-4) and x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*b + 4*p, -4*b = 4*p + 63 - 159. What is the remainder when (-141)\/(-1128) - (1\/3 - (-4253)\/(-24)) is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 5 - (-1 - -4). Let a be (k + 0)*(9 + -9). Solve -4*t + 10 = g - 0*g, a = 4*g - 5*t + 23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a**2*c + 3*a**2*m*z**2 + a**2*m - 2*a*c*m*z**2 - 2*a*c*z**2 + 3*a*c + 4*c*m*z**2 - 3*c*z**2 wrt a.\nAnswer: 24*c + 6*m*z**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 24*d + 1 + 23*d - 7*d. Let o = -12144 + 12145. Give c(o).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 2735?\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582480759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27746895 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*s**4 + 614*s**3 - 542*s**2 - 60*s - 5 wrt s?\nAnswer: 840*s + 3684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, t: 1, m: 2, x: 4}. Give prob of picking 1 t and 2 m.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 7*n. Let j be g(4). Let r = -41 + j. Suppose -2*z - 2*o = -o - 58, r*o + 36 = z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3242789*s**2 - 54*s + 88328 wrt s.\nAnswer: 6485578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + 100. Let t(x) = -31*x - 23. Let z be t(-3). Suppose 0 = 5*m - u - z. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.84 (b) 0.5 (c) -10 (d) 4\/3 (e) 1\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1551 and 1269?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196458*x + 3*x**2 + 196449*x + 2*x**2 - 392907*x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7126*z**2 - 7*z - 1166 wrt z.\nAnswer: -14252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:42 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755828572?\nAnswer: 2, 188957143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 936087212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -s + 2*s. Is -32*(s\/(-10))\/5 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 - 4. Let l(v) = 9*v**2 + 10. Let q(j) = 2*l(j) + 5*w(j). Let k(b) be the first derivative of 10*b**3 + 3. Calculate k(q(t)).\nAnswer: 120*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 4, 224, 0, -1, -4, -16 in ascending order.\nAnswer: -100, -16, -4, -1, 0, 4, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (18 - (-45)\/(-9)) + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 4*z + 0 + 1\/2*z**3 + 3\/2*z**2. Differentiate l(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4481, -4480, -4479?\nAnswer: -4478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -261\/4, -3\/2, 1183 in increasing order.\nAnswer: -261\/4, -3\/2, 1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sefisfslffiif. Give prob of picking 2 f, 1 l, and 1 s.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7312 is divided by 5079?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11\/a)**(-42) assuming a is positive.\nAnswer: a**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147 + 382. Let k be (-5 - -1) + 7\/((-28)\/(-16)). Suppose k*s + s - l = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3627 - 3590 - 3*m + 7217.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.083 - 0.062. Let h = j + -0.121. What is the nearest to -1 in h, 0.2, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1064 divided by 21\nAnswer: -152\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*x = -x, -4*d = x - 1. Let o(t) = 21*t**2 + t + 1. Calculate the remainder when 41 is divided by o(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 8 = 11*l - 6*l, 0 = 5*l - 2*h - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in -4\/17, 53\/2, 4, -2\/13?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/12 - 9*u**3\/2 - 49*u**2 - 12*u + 5. What is the lowest common multiple of s(-5) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (5 + -8) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2643746, -5287415, -7931084, -10574753?\n\"Answer: -2643669*g - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 2.2, -2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 6*f - 2*f. Factor 6*u**2 - 4 + u**3 - 30*u**2 + 9*u**3 + f*u.\nAnswer: 2*(u - 1)**2*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -2226.7594.\nAnswer: -2224.7594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13492)\/(-7))\/((-58)\/(-203)). Suppose -u + 234 = -16*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/48 + s**3\/8 - 9*s**2\/4 - 71*s - 24. Let z(q) be the first derivative of y(q). Factor z(r).\nAnswer: (r - 3)*(r + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23175 is divided by 187.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331194353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 67577513.\nAnswer: 2\/67577513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -423\/2 + 30035\/142. Let y = 431 - 430. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*w**2 + 1967999*w - 61194179?\nAnswer: -84*w + 1967999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25554809 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 23*u + 7430. Suppose -3*s = 113 - u. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 484656 and 11348.\nAnswer: 1374969072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -12 (c) -3\/5 (d) -135530\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*n + 27. Let q = n - 6. Factor -8\/3*x**2 - 1\/3*x**q - 5\/3*x**3 + 0 - 4\/3*x.\nAnswer: -x*(x + 1)*(x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106, 255, 502, 847, 1290, 1831, 2470?\n\"Answer: 49*f**2 + 2*f + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -93. Let h be (-3 - -5) + -3 + v + -1. Let w(f) = -5*f**2 + f. Determine w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0 - 1\/2*s**2 + 1\/6*s**3 + 3*s. Determine m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 442, 428, 414, 400, 386, 372?\n\"Answer: -14*m + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -3*f**7\/4 + 11*f**6\/10 + 3*f**5\/40 - f**4\/4 + 3*f. Solve q(x) = 0.\nAnswer: -2\/7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40332*y - 1 + 19589*y + 16391*y in the form r + j*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 + 1 - (-36 - -39)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*b + 4*r, -10 - 5 = b + 3*r. Let g be -3*(4 - (-42)\/b). Let p(j) = 3*j**3 + 9*j**3 - g*j + 9*j**3 - 8*j**3 + 2*j**2 + 1. What is p(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200011 (base 3) to base 11\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 5 = 18*k - 12*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 810246615 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/465840 and -107\/1281060.\nAnswer: 5124240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 4*a**2 + a**2)*(-4 - 3*a + 4).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*r + 10, 0*m + 5*m + 2 = r. Let x be 6*2*(-2)\/(-2). Suppose 3*y + m*y = x. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -7, -5, 10, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = -3*s - 397, 2*s = 10. Let v = q - 100. Find the second derivative of 4*g**3 + v*g**3 - 10*g**3 - 36*g wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z + 8. Let t(x) = -8*x - 3. Let q(m) = -3*g(m) - 8*t(m). Let w(a) = -137*a**2. Give q(w(n)).\nAnswer: 274*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8261 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -10*x - 193 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144339, -146033, -147727, -149421, -151115?\nAnswer: -152809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31058127, -31058126, -31058125, -31058124?\n\"Answer: b - 31058128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 0.44476\nAnswer: -0.066714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -29*u + 34*u + 47, -2*u - 60 = 6*c + 2*u for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3094, 3093, 3090, 3085, 3078, 3069, 3058?\n\"Answer: -o**2 + 2*o + 3093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*p - 266*p + 639*p - 18164 for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*n = -11, 2*n = 4*o - 14 - 24. Suppose -12648 = -8*h - 26*h. What is the highest common divisor of h and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose 3*f = 2*b + b + 27, 0 = 4*b. Let d = f - 7. Solve 0 = d*c + 2*q - 2, c + 6 = -c + k*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w - 12. Let s be u(1). Sort s, -85, 5 in decreasing order.\nAnswer: 5, s, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87192)\/31140 - (-4)\/10?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -110.4+-6.541\nAnswer: -116.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*i - 68 + 68 in the form m*i + j and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b, 7*d + 4*b = 4*d + 52. Suppose 0 = 5*z - y - 27, -3*y + d = 18. Suppose 0*u = -2*u + 4. Solve -u - 8 = -z*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -16) + -1 + (92 + -157 - -81)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.885 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25243 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8212, -15522, -27712, -44788, -66756, -93622, -125392?\nAnswer: -162072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 189336*x + 2460692.\nAnswer: 4*(x + 13)*(x + 47321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 27*y - 18. Let x = -20 - -53. Calculate the remainder when x is divided by p(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and (-72)\/120 + (-4)\/(-70).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-5))\/((-24)\/60). Let m = -8 + 12. Find the third derivative of 3*u**4 + u**d + 2*u**4 - 3*u**m + 4*u**2 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49\/118 - -5\/59. Factor -1\/4*v - 1\/4*v**2 + j.\nAnswer: -(v - 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 42570.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 - 467 = -3*x. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997 + 2018 - (-56 + -1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a factor of 187582426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 8*g - 84, 2*d - 44*g = -38*g + 58 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1)**2 + 3 + (sqrt(13)*-1)**2 + -4*(sqrt(13) + -1)*5.\nAnswer: -20*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5))**24 assuming i is positive.\nAnswer: i**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1008, 3368, 8440, 17580, 32144, 53488, 82968, 121940?\nAnswer: 171760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 39 = 14980*p - 15011*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -2\/21 (b) 1 (c) 11 (d) 60 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425067932 a multiple of 2991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -77*y + 75*y - 5 - 5. Let q(d) = -d**3 + 9*d**2 - 2*d + 12. Let j be q(9). Let m be s(j). Which is the closest to -1? (a) -0.3 (b) 3\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*j - 39*j. Suppose j = 2*i + w - 750002, w + 764431 = 3*i - 360567. What is i rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Let g be 1 + (j - -1)*47. Let u = -12 - g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -999, -4024, -9025, -16002?\n\"Answer: -988*r**2 - 61*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Let d(f) be the second derivative of 5\/3*f**3 - 1\/7*f**7 - 2*f**a + 3*f + 0*f**4 + 0 - f**5 + 2\/3*f**6. Solve d(x) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -2*o - 16, 4*o + 22*m = 25*m + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11036, -11059, -11096, -11147, -11212, -11291?\n\"Answer: -7*j**2 - 2*j - 11027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, -3, -120 in descending order.\nAnswer: 15, -3, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/284 and 43\/852.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3*k*m**2 - a**3*k*m + 2*a**3*m**2 - 11*a**3 + 2*k*m**2 wrt k.\nAnswer: -2*a**3*m**2 - a**3*m + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 42102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -26.3 * -2\nAnswer: 52.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4528 is divided by 151.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3 - 192*k + 1056*k + 6*k**5 - 75*k wrt k?\nAnswer: 120*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 550\/3 - 185. Does m = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*h**3*m + 8*h**2*m**3 - 2*h**2 + 9*h*m**3 - 2*h*m + 3*m**2 wrt h.\nAnswer: -66*h*m + 16*m**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/44456 and -71\/377876.\nAnswer: 755752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 3) + -233 + 205.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2156)\/420 - (1 + -6). Suppose -5*u + 3*c - 207 = 331, -3*c - 232 = 2*u. Is i greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 597 - 594. Suppose 2\/3*r**2 - r**z - 1\/6*r - 1\/6*r**5 + 0 + 2\/3*r**4 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-124)\/(-1)*2\/8. Let j(v) = 4*v - 2*v**2 + h + v**3 + 2*v - 35. What is the units digit of j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/5 - 282256*r**4\/5 - 26558501536*r**3\/5 - 833290567241202*r**2\/5 - 20814979373272863*r\/5 + 21648296499297858\/5 = 0. Calculate r.\nAnswer: -94077, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 6*t - 6*t)*(2*t - 4*t - 1 - 1).\nAnswer: -12*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38781 + 902?\nAnswer: -37879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193082488.\nAnswer: 2, 24135311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -60.6. Let v = -3 + -1. Put 0.5, v, o in descending order.\nAnswer: 0.5, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1010101010?\nAnswer: 1010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6 + (-69)\/(-9) + -2). Let q = -149 + 212. What is the greatest common factor of u and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (0\/1 - -2). Suppose 0 = -l*x + 7*x - 40. Calculate 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 100*l - 5462 = -2662 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -33*f + 139 + 362 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13916 + 1484. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94541.49l?\nAnswer: 94541490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t = -92 - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 275217548 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-153)\/(-15) + (-16)\/(-20). Let r be 3\/(-9) - (-118800003)\/n. Round r to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509300 divided by 100\nAnswer: -5093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1162*w - 142. Let b(s) = 1159*s - 131. Let j(q) = 3*b(q) - 2*i(q). Differentiate j(c) with respect to c.\nAnswer: 1153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (31 + 0)\/(9\/9). Let b(p) = 92*p**2 - 5*p + 6. Let x be b(1). What is the greatest common factor of x and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -12 - (-5 + 3) - 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290202.\nAnswer: 2, 3, 11, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*6\/60*(-5)\/(-24) + (-8)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.033 - -31.967. Let j = a + -27. Put 3, j, -5 in descending order.\nAnswer: j, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**3 + 3*w**2 + 3*w - 2. Let u be a(3). Let x = u + -133. Calculate the highest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from hlle.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r + 1. Let y be u(-5). Let b = y - 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33556 - 33559. What is the biggest value in 0.046, c, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628942651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 + 4*d - 1. Let o = 2 + 2. Let k(h) = -h**3 + 4*h**2 + 3. Let z be k(o). List the prime factors of s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*p - 2*p - p**3 + 14*p - 3*p to h*p + i*p**3 + j*p**2 + o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from wxhxdmhxwwxxdhxkmx?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -219831757, -439663514, -659495271, -879327028, -1099158785?\n\"Answer: -219831757*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -126*a + 469. Let y(x) = 190*x - 701. Let w(l) = 14*h(l) + 9*y(l). What is w(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681831013 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 15. Let j(u) = -8*u - 34. Let q(f) = 4*j(f) - 9*r(f). Let b(c) = 7*c - 1. Determine -3*b(y) + 5*q(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 6. Let z be b(-6). Calculate the common denominator of (-23)\/z*18\/4 and ((-186)\/8)\/((-27)\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-3) + (7 + 889\/(-126))*-51. What is the second smallest value in 0.3, t, -2, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5 = 5*p, -47*p + 45*p = -4*x - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 7*j + 624 = 33*j + 8*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299136 is divided by 775?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 180568?\nAnswer: -18056e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pphp when four letters picked without replacement from {p: 7, h: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1 (b) -2 (c) -266 (d) 8 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 4. Find the second derivative of -55*h**2 - x*h + 13*h + 54*h**2 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7837 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -5 (c) 2.42929\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 11*u - 2. Let k be w(-6). Suppose -5*q + k*q + 2807 = 4*l, 5*l + 2*q - 3511 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j + 37 - 17 + 4*j + 81. Let i be a(-21). Sort -3, -4, i in descending order.\nAnswer: -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d - 6*r + 8*r = -42, 3*d + 42 = -2*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 3\/5, -15, 2\/7, -3, -1\/5, -165?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Let r(y) be the third derivative of -y**7\/2520 + y**6\/144 - y**5\/24 - 11*y**4\/24 - 2*y**2. Let t(f) be the second derivative of r(f). Give t(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 3*o**2 - 2. Suppose -x + 1 = -12. Let m = x - 3. What is the lowest common multiple of q(-2) and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 3*g**2 - 2*g + 2. Let x be l(4). Suppose x*a = 14*a - 80. Let h = a + 27. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11130322 (base 4) to base 6.\nAnswer: -251214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*-2*19\/(-95)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 44) + 25 + 4 + -5 - -82.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161293165.\nAnswer: 5, 11, 157, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -333632*y**2 - 2*y. Let v(i) = i**2. Give p(v(s)).\nAnswer: -333632*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-135)*-3)\/((1100\/(-15))\/11)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4606 = -10*f + 11964. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 20*w - 25. Give u(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, -1\/4, 1.2 in decreasing order.\nAnswer: 1.2, 0.4, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*y = -20, 2*m = -3*y - 1 - 7. Let s be (-19)\/m + 20\/70. Solve -5*r + 5*g + 45 = 0, -s*r + 5*g = 7 - 44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7344639.\nAnswer: 3, 691, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.29 to the nearest integer.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 + 2 - 5*g**2 - 2*g**2 + 0 to the form c*g + v + q*g**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvj when three letters picked without replacement from {v: 5, m: 1, j: 4, g: 5, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**3\/3 - 21*m**2\/2 - 95*m + 6590. What is i(28)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 divided by -2275.\nAnswer: -27\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2 + 2 + (0 - 4 + 6)*(4*s - s - s) + (-1 + 2 + 1)*(2*s - 1 - s + 4).\nAnswer: 7*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 372, 1332, 2296, 3264?\n\"Answer: 2*n**2 + 954*n - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 331*d**2 + 122*d**2 + 0*d**3 - 4*d**3 + 4*d**3 - 3*d**3 + 5*d**3 + (-d + d - d**2)*(-d - 2*d + 4*d) as u + i*d + b*d**3 + p*d**2 and give p.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 4013793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 14*l**2 - 24. Let k(x) = 2*x. Give k(m(j)).\nAnswer: 56*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4086m in kilometers?\nAnswer: 0.0024086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixf when three letters picked without replacement from {f: 7, l: 4, x: 2, i: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/5339 - 5371\/85424. Suppose 20 = 4*i - k - 4*k, i = -5*k - 20. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 273 = -243. Suppose 0 = -5*z + 3*d + 45, -33 + c = -3*z + d. Is z != 64\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 8907 = 4*j - 17850 + 8925, 11*j = -5*n - 3 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 301 = 4*g, -141 = -3*g - y + 80. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-10) - (-171)\/(-45))\/6 - -1. Suppose u**2 - 2\/3*u - f*u**3 + 0 = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245) + -5 - sqrt(245) - (sqrt(245) - (4 + sqrt(245) + 1 + sqrt(245))))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 71. Is (8 + 216)\/(-2 - b) + -3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 1. Let d(y) = -10*y - 42. Let f(c) = -2*d(c) + 6*v(c). Let s be f(-9). Solve s*q = 3*h + 3*q - 9, -3*h + 11 = -q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/12 + u**3\/2 + u**2\/2 - 3*u. Let x be l(0). Find the common denominator of -51\/14 and (-856)\/96 + (5 - x).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 26*t**2 - t + 47. Let o be n(26). Suppose -o*q = -645 - 2820. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 + 10*x**2 - 265*x + 450 = 0. What is x?\nAnswer: -9, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 = 5*h + 7, 3*d + h = 4. Solve d*x + 0*x = 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 233*v**2 + 5*v - 25. Is c(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-3*-1 + 2 + 6*sqrt(1377))*-4)**2.\nAnswer: 5184*sqrt(17) + 1784656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1009.6 - -1009.96. Let c = -3.39975 - -3.76. Let g = x - c. Round g to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 51*s**2 - 176*s - 98. Let b be j(36). What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27*(-6)\/(-9) + 0. Find the first derivative of 11*a + r*a + 3 - 25*a wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((468\/(-325))\/12)\/((-9)\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 106\/(-72) + (-2)\/(-9). Let l = -0.141 + 1.281. Let y = l - 0.74. What is the smallest value in z, y, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*s - 1014*s + 3*g = -11, 5*g + 5 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 357.\nAnswer: 38\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**6\/40 - j**5\/20 - j**4\/4 - 81*j**2. Suppose y(v) = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223 a factor of 1198381509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 - 308. What is the second smallest value in -3, 0.4, -7, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/7)\/((-3)\/(-2)). Let j = -9.4 + 4.4. What is the third smallest value in 2, 4, j, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 61, -1\/3, -0.2.\nAnswer: -1\/3, -0.2, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123 - 450a?\nAnswer: -43b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 92239\nAnswer: 3\/92239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:49 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4363078 is divided by 1147.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 349189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/3, -7, 0.08, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:58 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 8 - r**2 - r**4 - 4*r - 8 + 0*r**3 as j*r + u + n*r**4 + g*r**2 + b*r**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -2\/13, 1\/3, 3\/34, 72, -1 in ascending order.\nAnswer: -1.1, -1, -2\/13, 3\/34, 1\/3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 3*n - 1. Let s be f(3). Let h be 1953\/(-441) - 5*-1. Which is the closest to 0? (a) h (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**10\/352800 + q**9\/47040 + q**8\/23520 + 19*q**5\/30 - q**2 - 10. Let z(k) be the third derivative of j(k). Factor z(a).\nAnswer: 3*a**2*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 22*y - 10. Is p(-9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1, 0.5, 276, -140?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008983 to four dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14701374 + -0.147. What is b rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/11 (b) 167 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1036232, -1035671, -1035108, -1034543, -1033976, -1033407?\n\"Answer: b**2 + 558*b - 1036791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j**3*n*x**2 + 1538*j**3*n - 3*j**2*n*x**2 + 176*j**2*n + 8*j**2*x**2 - 6*j*n wrt j.\nAnswer: -114*n*x**2 + 9228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y*y**(-4))\/(y**(-1\/5)\/y**3)*(y\/(y**(-5)\/y*y*y*y)*y**(-2\/5)*y)**(-1\/12) assuming y is positive.\nAnswer: y**(229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010984990959 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + c**2. Let b(m) be the third derivative of -m**6\/30 + m**5\/30 - m**4\/4 + m**3 - 3*m**2. Let j(z) = -b(z) + 5*i(z). Determine j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 16 = 0, 346 = 2*y + 36*w - 33*w. What is the remainder when 2029 is divided by y?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2315578.21 to the nearest one thousand.\nAnswer: -2316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f\/(f**4*f)*f)*f)\/f)\/f)\/(f\/f**3*f))**(-3\/7)\/((f*f**(-4\/9)*f*f**1)\/((f\/(f\/(f\/(f**1*f))))\/f)**(-30\/11)) assuming f is positive.\nAnswer: f**(1118\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*b + 8, -3*t + 4*t + 4*b - 6 = 0. Suppose -5*d = -0*l + 4*l - 22, 4*d + 48 = 5*l. Let m = l + t. Solve -3*h + m = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/1242*(-29739)\/15947.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*q + 365, 4*f = 5*q + 410 - 105. Let u = -3 - -3. Suppose 0 = -5*o - 5, y - 2*o = -u*y + 12. Calculate the greatest common divisor of y and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/6)\/((-4)\/78) is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 55 = 2*x + k, -2*x + 25 = 3*k. What is the greatest common factor of x and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 1\/840*j**7 + 0*j**4 + 0*j + 0 + 0*j**3 + 16\/15*j**5 - 1\/15*j**6 - 51*j**2. Solve z(k) = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0889 * 0.7696.\nAnswer: -0.06841744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:09 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1220 - 1224. What is the smallest value in 4, 0, -8.8, x?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-12 - -6)) + -6 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 120, 8, -31.\nAnswer: -31, -1, 8, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1460\/(-12702)*18\/(-60).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*i = -69, 50*o - 55*o + 4*i = -169. What is the highest common divisor of o and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108011 + -108005. Factor -18*n**2 - r*n**3 + 0 - 1\/2*n**4 + 0*n.\nAnswer: -n**2*(n + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 5\/(-7) - (-10 + 5). Put 0, m, 7, 5 in ascending order.\nAnswer: 0, m, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/(-230)*(-2)\/(-4)*2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.91 + -0.78. Round g to one decimal place.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.094 + -3.906. Let k = -0.1 + 0.3. Put l, k, 2 in decreasing order.\nAnswer: 2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13320313993 from -1505.5.\nAnswer: -13320315498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/4, -0.014, -1\/174 in descending order.\nAnswer: 4, 1\/4, -1\/174, -0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 - 3*z + 1. Let f be ((-4)\/3)\/(1\/(-3)). Let y be t(f). Calculate the common denominator of y\/(-77)*(-1)\/(-1) and -14\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31142.\nAnswer: 2, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 317 - 218. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2002*j**2 + 2002*j**2 - 92*j**3)*(-3*j + 4 + 2*j + 0*j).\nAnswer: 92*j**4 - 368*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110000110110011 (base 2) to base 16.\nAnswer: e1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65731 is divided by 64237.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -11*t**4\/24 + 16*t**2. Let m(b) = 2*b**2. Give m(w(k)).\nAnswer: 242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -4*g + 6, -3*x + 9 = 0. Suppose -335 = -g*s + 9. Suppose -21 = 5*y - s. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*i**5 + 33*i**3 - 33*i**3 + (0*i**3 + 4*i**3 - 2*i**3)*(i**2 + i - i) - 4*i**3 + 4*i**3 + 2*i**5.\nAnswer: 37*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37809901*o**4 - 213481870*o**2.\nAnswer: 907437624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + (17 - 23) + (0 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55.9009 and 0.3?\nAnswer: 56.2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(-5*i**2 + 21*i**2 - 12*i**2)*(3 - 4 + 3).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2871452949.\nAnswer: 3, 17, 56302999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/7 - 66*l\/7 + 124\/7 = 0 for l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*w + 13*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose -15 = -v*s - 0*s. Suppose -s*z + 71 + 109 = 0. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2\/(-6)*3 + 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 728643.9 hours?\nAnswer: 2623118040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5644, -5672, -5700, -5728, -5756?\n\"Answer: -28*a - 5616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 6:16 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8\/3)*l*l**12*l assuming l is positive.\nAnswer: l**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - g - g**5 - 2 + 2 - 2*g**5 + (-3*g**4 - 3*g**4 + 4*g**4)*(-2 + 2*g + 2) + g**5 - 3 + 3 + (-56 + 56 + 9*g**2)*(-2*g**3 - g**3 + 2*g**3).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 2365*u - 9592*u + 2383*u + 2384*u + 455 + 2379*u. What is m(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 21*c**3 + 66 + 8*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 398*u**3 + 405*u**3 - 805*u**3 - u**2 + 23 in the form n + h*u**3 + o*u + z*u**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4232246057031 - -3308963.5602359057031. Let y = i + -3308960. Let s = y + -0.137. What is s rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13848 + -13848.36. Sort b, 4, 0.4.\nAnswer: b, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -773 + 781. Let s(v) = -v**3 + 6*v**2 + 11*v + 6. What is s(u)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-5))\/((-3)\/(-15)). Suppose g*s + 2*s = 12. Solve z + 2*b - 4 = s*z, 2*b - 9 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -16. Suppose -n - 6 = -l*n. Calculate the remainder when (-2)\/4 - (-10)\/4 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 2) + -2 + -1. Let y = -3.921 + -0.079. Let w = -78 - -75. Which is the second biggest value? (a) w (b) u (c) -1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4 - 4 - u - 3 + 1 + 14. Determine i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/(-3))*1 + 3. Suppose q = -l - 5*k + 6, -2*l + 4*k = l - 18. What is the tens digit of 1581\/21 + l\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/1*(-20)\/15. Let p be (n\/6)\/((-2)\/3). Let i be 0 - (0 - 0)\/(-3). Sort 5, p, i.\nAnswer: i, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**5 - 95*v**3 + 10*v**2 + 240*v - 160 = 0.\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = j - 30, 0 = 3*j - l - 11 + 1. Let k = -41 - -36. Which is the smallest value? (a) 1 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-213)\/43 - 150\/7050*-235.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.465*5.57.\nAnswer: 2.59005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -576 - -1462. What are the prime factors of o?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(0 + 0 - x) + (-4 + 14 + 0)*(56 - 4*x - 56).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00459220337 rounded to 7 decimal places?\nAnswer: -0.0045922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 17*z = 99. Let r be (-4)\/6*(-30)\/20. Put -1, r, z, -3 in decreasing order.\nAnswer: r, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(891) - (1 + sqrt(891))))*-5)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(-59*m + 14*m**4 + 59*m) + m**5 + m**5 - 3*m**5.\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 258248107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r - 37 - 34 = 761 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 4, w: 7}. What is prob of sequence ww?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19335 smaller than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w - 2. Let c be z(-6). Is -2*14\/(-8)*c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*p - 12, -3*c - 3*p = -p - 22. What is the remainder when 81 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let v(i) = -30 - 4*i + 40 + i. Let o(a) = v(a) + 5*z(a). Let q(b) = -3*b**2 + 4*b - 3. Let l be q(2). Determine o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7162190 is divided by 1023168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f**2 + 547*f + 3902. Determine g(-7).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 2. Let v(l) = -7*l**2 - 9*l - 6. Determine -3*n(t) + v(t).\nAnswer: -4*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 5 (c) 1935.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -3556.1656\nAnswer: 106.684968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -1584?\nAnswer: 157f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/234 and -37\/60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 1\/4, -5, -9, 1, 5 in increasing order.\nAnswer: -9, -5, 1\/4, 0.9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10357 is divided by 1198?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (34\/204)\/((-1)\/6)*17\/629\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 v when three letters picked without replacement from vvnvvvnvnvvvnn?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7402 * 0.03421\nAnswer: -253.22242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 945523*-0.2\nAnswer: -189104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -21*t**2 + 6345*t - 31125. Calculate m(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2506*f + 2*k + 3*k = 2510*f + 30, f + 3*k = 18 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 13102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*n + 179*n - 366*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h + 1\/2*h**3 + 1\/24*h**4 + 0 + 4*h**2. What is n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -151. Let a be -57*144\/104 + 24\/(-312). Is a at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/3, -2\/3, -67.2, 8, -6, 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrqqpppqrpqrpqrp. What is prob of picking 3 p?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 + (9 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -203380100 to the nearest 1000000.\nAnswer: -203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 - 758 = -169*b + 80 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 14*y**2 - 35*y - 120. Determine o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*w + 5*v, 2*w = -3*v - 7 + 1. Let n be (w\/1)\/(3*(-6)\/9). Suppose s + n = 2*t - 4, 3*t - 5*s = -1. Solve 2*p + t = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 - t**3 - 72*t**2 - 8*t - 59.\nAnswer: 24*t**2 - 6*t - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 560*w. Let f(p) = -218*p**2. Determine k(f(s)).\nAnswer: -122080*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/3 - 8)*(-9)\/579. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*m + 406*m - 442*m - 614)*(-1 - 1 + 0) as f*m + a and give a.\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -297.6 take away -3?\nAnswer: -294.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1904\/(-693) - 10\/(-2)*46\/207.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12801 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/6 + 28*f**3\/3 - 3526*f. Let s(p) = -5*p. What is s(b(g))?\nAnswer: -10*g**2 - 280*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 959*t**3 - 2883*t**2 + 2885*t - 962.\nAnswer: (t - 1)**3*(t + 962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 52*t**2 - 2*t - 10. Let u(a) = -207*a**2 + 9*a + 39. Let x(k) = -9*s(k) - 2*u(k). Differentiate x(v) wrt v.\nAnswer: -108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8019.1 + -8336. Round s to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 7. Let s(c) = c**2 + 3*c - 872. Let j be s(28). Let v(f) be the second derivative of 4*f**3 + 57*f**2\/2 - 12*f. Determine j*v(t) + 33*a(t).\nAnswer: 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 10. Suppose -2*b = 3*u - 33 + 5, 70 = 5*b - 4*u. Let x = k + b. Are x and -10 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/4)*((c**(-1\/2)*c)\/c)\/c*c*c**(-1\/2)*c*c*c**(2\/7)*c*(c\/c**5*c**3*c*c)\/(c**(5\/4)\/(c**(-2\/9)*c)) assuming c is positive.\nAnswer: c**(323\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from kxw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(175\/(-28) + 7 + (-51)\/60)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3 = 17. Let m be ((-6)\/w)\/(((-15)\/22)\/5). Let l be m - 3*(-1)\/(-3). Solve 3*d + 1 = l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -62. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 21*z - 15. Let g be c(-24). Let s = -59 + g. Sort s, 0, -3, -11.\nAnswer: -11, -3, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15975969 and 2444.\nAnswer: 15978413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(sqrt(55) + -1*-2*sqrt(55) - sqrt(55))\/(sqrt(720)*-1).\nAnswer: -5*sqrt(11)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371400 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, 2365.\nAnswer: -3, -2, 2, 2365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 3949 = 1408. What is the remainder when a is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1765612 and 3531224.\nAnswer: 3531224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -2 (c) 103 (d) 1\/8 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**22*t)\/t)\/t)\/t)**(-34))**(-3\/14) assuming t is positive.\nAnswer: t**(1020\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n - 2*n**2)*(3*n**2 - 2*n**2 - 4*n**2) + 2*n**2 + 2*n**4 - 3*n**4 + 0*n**2 - n**2 + 2*n**4 + n**2.\nAnswer: 7*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + q - 11 = 0, 0 = -3*q - 0*q - 9. Let k(j) = -j**2 + 7*j - 5. Let l be k(d). Sort -2, l, -3 in decreasing order.\nAnswer: -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**4 - 8094*g**3 + 19244544*g**2\/5 - 2224643584*g\/5 + 2532753408 = 0.\nAnswer: 6, 160, 3632\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304 - 275. What is the greatest common divisor of b and 1537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 11*o + 5. Let z = -90 + 85. Let k(v) = -5*v + 2. Calculate z*k(i) + 2*b(i).\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/6)\/(-1))\/((-29)\/(6960\/40))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 69 + 140 - 71.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.581 and 979.\nAnswer: 978.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.6 + 9.7. Round v to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f - 8 = 0. Let m be (-1 + (-3 - f))\/((-8)\/80). Solve -2*a - 2 = 3*r, -5*a + m = -6*r + r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = 4. Let h be 4\/(-10) + (-12)\/(-5). Calculate the least common multiple of -4*(h\/b)\/2 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -758438 or -758436?\nAnswer: -758436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 16 = -2*z, 2*z + 6 - 1 = 5*o. Suppose -3*t = -6, -v + 15 = 2*v + o*t. What is the third derivative of p**2 - 5 - 3*p**4 + v + 2 wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 13, -1, 1, 25, 77, 163?\n\"Answer: j**3 - j**2 - 28*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 774 and 29142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21004.0000035304 + 21004. What is d rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 35 + 9*u**3 - u**3 - 4*u**3 - 16 in the form v*u + g*u**2 + j + p*u**3 and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 9*p - 10. Let w be b(-7). Suppose -w*g + 60 = -g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/375 and -167\/30150.\nAnswer: 150750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Let u be f(1). Let w(h) = 7*h**2 + h - 2. What is the least common multiple of w(u) and (-801)\/(-45) - 14 - 1\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eclc when four letters picked without replacement from {e: 3, n: 6, c: 5, l: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a2 - -22542?\nAnswer: 22050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -18*l - 89. Let f be o(-4). Which is the closest to 2? (a) f (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-6)\/h))\/(h*h*h\/(h\/(h**1*h)*h)))\/((h\/h**(-2))\/(h**(-6)*h)))\/(h\/(h**(3\/4)*h*h)*h*h*h**5*h*(h\/h**4)\/(h*(h**4\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418873 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 2*w + 8. Determine n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 46\/6 - (-40)\/30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 x when four letters picked without replacement from mmmmmxmmmymmmmxx.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -15*o - 61. Let r(j) = -36*j - 123. Calculate 4*r(p) - 10*z(p).\nAnswer: 6*p + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 10:25 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 + 60*t**4 + 225*t**3.\nAnswer: -5*t**3*(t - 15)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**2*p**5 + 39*j**2*p**2 + 732*j*p**5 - 8*p wrt p.\nAnswer: 180*j**2*p**2 + 43920*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g + 4. Let m be w(0). Suppose -m*k + 4 - 16 = 0. Is k smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6074234 - -5?\nAnswer: -6074228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 270*z**2 + 263*z**2 + 274*z**2 + 255*z**2 - 1324*z**2 + 265*z**2.\nAnswer: 3*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66045471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 770 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 1. Let p(c) = -1. Let l(j) = -j**3 + 7*j**2 - 8*j + 9. Let v be l(6). Let h(t) = 1. Let s(r) = v*p(r) - 2*h(r). What is 2*s(i) - 2*z(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3\/5 - 733072*k**2\/5 - 2932312*k\/5 - 586464 = 0.\nAnswer: -2, 366540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/840 and 13\/1059.\nAnswer: 296520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/935396 and 9\/121.\nAnswer: 10289356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q + 137. Determine i(17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1323*p**3 + 43*p + 28.\nAnswer: -7938*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47.3458 - 1.6542. Put -35, 0, o in decreasing order.\nAnswer: 0, -35, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455*s**5 + 51*s**2 + 697*s**2 + 2 + 70*s**5 - 2 wrt s?\nAnswer: -23100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i*q**3*t**3 - i*q**2*t**3 - 5*i*q**2*t**2 + 4*i*t**3 - 6*i + 2*q**3*t**2 + 2*q*t**2 wrt t.\nAnswer: -42*i*q**3 - 6*i*q**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.4242 micrometers to kilometers.\nAnswer: 0.0000000424242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l + 16*l + 3*a - 7, 0 = -2*a + 10. Let f(r) = 11 + 11*r**2 - l + 19*r - 19*r**3 + 20*r**3. What is f(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 3, v: 5, w: 1}. What is prob of picking 1 c, 1 v, and 2 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17770*v**4 + 4*v**2 + 1372*v.\nAnswer: -426480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -5*l**7\/168 - l**5\/120 - l**3\/3 - 12*l**2 - 108*l. Let w(r) be the second derivative of m(r). Calculate w(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -30*o - 3. Let d be m(-4). Suppose 0 = -4*y + a + d, 5*y - 126 = y - 2*a. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436104 and 32346?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6 and (-3)\/(-5) - (14781\/(-1040) + 11).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 55*x + 59*x = -2, 5*a - 47 = 3*x. Let j = 13 + 7. Let k = -11 + j. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 6*y - 4. Let z be c(2). Suppose -8 = -z*t - 0. Solve -5*i = t + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 20, 0 = 5*m + 3*r + 2*r - 15. Let p = m - 8. Suppose 2*u - 4*q - 108 = p, q + 216 = -u + 5*u. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 6660*b - 60183.\nAnswer: 3*(b - 9)*(b + 2229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let p(j) = 2*j**2 - 2 + 0*j - j**3 - 2*j + z*j. Let s be (-3)\/(-2) - (-15)\/30. Calculate p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p - 2. Let q(k) = -29*k - 85. Let n(b) = -4*d(b) + q(b). Let z be n(-6). Let f(j) = j - 2. What is f(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184 - 178 - 392 - 177)*((3*q - 5*q + q)*(-7 + 3 + 8) + 6 - 6 - 3*q).\nAnswer: 6517*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52178*h**5 + 50*h**4 - 2*h**2 + 97210*h + 59 wrt h.\nAnswer: 3130680*h**2 + 1200*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 193?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035\/(-230))\/(12\/16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.65994154 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -39?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:12 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422383 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*o + 5*o + 24, 4*o = 5*l - 21. Solve l*b + 4*t = -1 - 2, 2*b - 2*t = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*((u**(-2\/15)*u)\/u)\/u)\/u)\/(u*u**(-6)*u))**50*(u**1*u**2)\/((u*u**(-5\/7)*u*u*u*u*u)\/u*u**(-2)) assuming u is positive.\nAnswer: u**(5125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 825 - 4871. Let f = i - -4036.938. Let b = f - -9. Round b to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 4. Let z(v) = -v**2 - 1. Let k = 164 + -208. Let r = k + 45. Calculate r*u(y) + 2*z(y).\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10)*50\/(-5). Let k(i) = -12*i - 8. Let a(o) = -3*o - 3. Let v(n) = -n - 1. Let j(p) = 2*a(p) - 5*v(p). Let c(z) = -10*j(z) + k(z). Calculate c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-33 + -22 + 21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) 3\/4 (c) 0.025 (d) 8 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1807 + -59630\/33. Are s and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 + 34*p + 24200\/13.\nAnswer: 2*(p + 100)*(p + 121)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -810 + 15?\nAnswer: -7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001254067082 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 582 (b) 2 (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110010000000 + 111101?\nAnswer: 1000110010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077610597 to six dps.\nAnswer: -0.007761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8788201.\nAnswer: 17, 47, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m\/(m**3*m*m*m)))**(-2\/31)\/((m*m**(-6)*m)\/(m*m\/m**(2\/5))) assuming m is positive.\nAnswer: m**(808\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000623667812 to seven dps.\nAnswer: 0.0006237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/43 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235*g + 1429*g**2 - 712*g**2 - 716*g**2 to the form c*g + v*g**2 + z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/8 (c) -1 (d) 15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 9:02 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 466, 4, 1, 198, -4 in descending order.\nAnswer: 466, 198, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-185.\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7590 by 5.\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -9*x + 28. Find the second derivative of x*t**3 + 9*t**3 - 12*t - t**3 + 23*t wrt t.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -11*h**2 - 9*h + 24. Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3, 0 = -25840*o + 25845*o - m - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049574427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125467714*0.2.\nAnswer: 25093542.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30, -2\/2653, 402?\nAnswer: -2\/2653","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(50) + -1 + (sqrt(1800) + 0 - sqrt(1800)))*-2.\nAnswer: -10*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - h**2 - 4*h**2. Let o(a) = 7*a**2. What is d(o(b))?\nAnswer: -98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(4896) - -2*sqrt(4896))*2)\/(sqrt(88)\/(5*sqrt(396))))**2.\nAnswer: 495720000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-7)*w)\/w**(-2))\/(w*w\/(w*w\/(w**(-6)*w)*w*w)*w\/(w\/(w**(-6)\/w))))**16 assuming w is positive.\nAnswer: w**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-20)*8\/3. Suppose -x + 5 = b*r - 0*x, x - 9 = -3*r. What is the units digit of 3\/(r\/(-40)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*r - 4. Let b = -8 - -13. Calculate the least common multiple of r and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 16*b + 27. Suppose 2*d = b*r + 358, 5*d + 239 = r + 1147. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118591 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 953622 by -953622.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -36*n - 249. Let a be c(-7). Let l(v) be the second derivative of 6*v - 1\/42*v**4 + 0*v**2 - 1\/21*v**a + 0. Solve l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 163668694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*q - 35, 2*z - 2*q + 15 = -3*z. Is 15 a factor of z + (1350\/2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5240\/(-16)*(-9)\/(-5). Let f be (0 - 2 - -1) + 606. Let z = c + f. Find the common denominator of 145\/42 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390 - 62460\nAnswer: -62850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 42 - 14 = 5*z, -2*u = 6. Suppose -5*j + 10*j + 2*l - 24 = 0, z*j - 12 = 4*l. Let a = 1532 - 1532. Solve a = -j*c - 2*x, -c - 9 = -5*x + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 24*n. Let t(x) be the third derivative of -x**4\/4 + x**2. Let q(h) = -2*p(h) - 9*t(h). Suppose -2*z - 3 = 5*u, u - 6*u = -2*z - 13. Give q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201001010 (base 3) in base 15?\nAnswer: -1c693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3, 0 = -b - y + 430 + 265. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + 0.07. Let s = -0.2 - z. Let j = -3.9 - -3.5. What is the third smallest value in s, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(7*r - 9*r + 17*r)*((-3 + 1 + 3)*(6 + 0 - 4) + 3 + 1 + 1 - 1 + 4 - 2 + 4 - 4 + 2).\nAnswer: -150*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t + 4. Let z be x(6). Let w be ((-79)\/3)\/((-1)\/3). Let r = w + z. Calculate the remainder when 137 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.77307 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11024 + -10232?\nAnswer: -21300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7 - (0\/10 + -19334)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -19. What is the biggest value in p, -0.5, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 7171 = -3*p + 4466, 15517 = 4*p - 3*k. Suppose 2*r + 443 = x - 347, 5*x + 4*r - p = 0. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274 + -168. Calculate the highest common divisor of v and 2968.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258428789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, 1 i, and 1 j when four letters picked without replacement from kivjjgmkm?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41268569?\nAnswer: 2803, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 28*w**2 + 4*w - 65. What is the remainder when 280 is divided by m(28)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:52 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14979, -15452, -16241, -17346, -18767, -20504?\n\"Answer: -158*f**2 + f - 14822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:08 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98686, 389412, 873956, 1552318, 2424498, 3490496, 4750312?\nAnswer: 6203946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + s - s + (1 + 2 - 5)*(-2*s**2 + 3*s**2 + 0*s**2 - 2*s**2 - 2*s + 2*s - 5*s**2 + 3*s**2 + 0*s**2 + (s**2 - 4*s**2 + s**2)*(2 - 4 + 3)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169006831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 6*a**3\/5 - 3297*a**2\/5 - 4956*a\/5 - 1653\/5 = 0.\nAnswer: -1, -1\/2, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:52 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (sqrt(425) - (1 + sqrt(425) + sqrt(425)))*6) + 3.\nAnswer: 9 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let t(i) be the third derivative of 0 + 28*i**2 + 13\/8*i**4 + 0*i - 1\/6*i**3. Give t(w(o)).\nAnswer: -78*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32925927.\nAnswer: 3, 10975309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Suppose 0 = 5*u + 4*m - 5, -m + 3*m = -2*u + 4. Let t = u - -2. Are n and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbn. What is prob of sequence bbn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*w + 2*w - 6, 3*a = -3*w + 3. Suppose 5*z + a*b + 0*b = 9, -7 = -5*z - b. Which is smaller: 3\/47 or z?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 + 6*g + 32. Is 16 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28066835?\nAnswer: 5, 2039, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 19767242.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -36*f**7\/7 + 17*f**3\/3 + 43. Find the third derivative of i(v) wrt v.\nAnswer: -4320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 4*s + 0*s + 1 - 2*s.\nAnswer: 2*s - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 14*g. Give u(-5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33535 + 33590. Solve -46*a + r*a = 41*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299705591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -23*f**3 + 2*f**2 - 1. Let i be x(1). Which is greater: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 0*z)*(-1 - 3 + 0)*(4 + 0 - 1).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = y + 4, -23*y + 32*y - 3 = 12*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*w - 3206, z - w - 1147 + 4345 = 0. Round z to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(517\/(-22) + 19)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 13*z + 15. Let l(y) = y**2 - 14*y + 16. Let m(j) = 3*l(j) - 4*s(j). Let v be m(6). Calculate the highest common divisor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6587, -6579, -6559, -6521, -6459, -6367?\nAnswer: -6239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*u + 37, 83 - 18 = 5*k + 5*u. Let b(v) = 2*v - 12. Let c be b(k). Calculate the highest common factor of 366 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1368*g - 3 + 3.\nAnswer: 1368*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*b**3*v**2 + 4*b**3*v + 105*b**2*v**2 wrt b?\nAnswer: -144*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 14 - 5. Suppose -c*s = -5*s. Solve s*h = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114684 and 3.5?\nAnswer: -401394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5714 is divided by 1813?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + (1 - 4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81283068035 and 55.\nAnswer: -81283067980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -601, 2718, 13621, 35900, 73347?\n\"Answer: 632*p**3 - 1105*p - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96, -634, -2094, -4938, -9628?\n\"Answer: -77*d**3 + d**2 - 2*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(32\/4)*(-2)\/(14\/21)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23144 times -0.3\nAnswer: -6943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -676546, -1353094, -2029642?\n\"Answer: -676548*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2457 + -2503.136. Let z = -46 - l. Round z to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2091 + 2090.75. Sort d, 36, 0 in ascending order.\nAnswer: d, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.63949 milliseconds to hours.\nAnswer: 0.000024066525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 375420 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6088 - 6091. Let m(v) = 13*v + 37. Calculate m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -726*c*r**2*x**3 + c - 4*r**4 - 2*r*x**3 - 16*r*x - 6*x**3 wrt r?\nAnswer: -1452*c*x**3 - 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077 - -1.15?\nAnswer: 2078.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256824)\/(-19024)*6\/27*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 211.\nAnswer: -34\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 3*u**2 - 2. Let i be g(-2). What is the derivative of 2*f**2 - i*f**2 - 4 - f**2 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39999 and 100041?\nAnswer: 1333846653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 23 + 7. What is the lowest common multiple of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2 + 5*u. Let h(m) = m**2 - m. Let j(t) = f(t) + 6*h(t). Let a(r) = 6*r**2 - 5*r. Give a(o) - 5*j(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:05 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + s + 0*s - 23 = 0, 4*g - 5*s + 49 = 0. Let v(k) = k**2 + 5*k + 3. What is the units digit of v(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7047)\/9396)\/((-14)\/(-16)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.586.\nAnswer: 2.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 15. Let p = -5 + 18. Let t be y(p). Suppose 5*w = -0*w - 5*g - 10, 3*w - 4*g - 8 = 0. Solve -4 = -w*z - t*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 (base 9) in base 8?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -4, -3 in descending order.\nAnswer: -3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q = -95*q + 841500. Does 110 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.5, 1\/4, -1\/4, 2527.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34302*p**2 - 16812*p**2 - 17507*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (28\/35)\/((-2)\/(-5)). Let p be (-6)\/4 - (1111599958\/4)\/a. Round p to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10189 - 1680. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 114 = 122 + 172 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32187 times -1\nAnswer: 32187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 293031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r**2 - 16*r - 87. Let g be x(7). Solve -10 = 4*l - g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 40 = s + 533, -3*s = 2*g - 382. Let v = g + -177. Solve 5*p - 8 = i, -3*p + v = 2*i + 2*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 31 = -3*s, 3 = 3*i - 2*s. Solve 14 = i*h - 5*y, 4*h + 2*y = -0*y + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24748658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = -5*f, -2*g - g + 7 = 5*f. Suppose -2*l - g = -t + 2*l, -3 = 3*l. Solve -5*r - 4*o = -16, -t*o + 16 = r - o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60361725139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m. Let h(r) = 2*r - 2*r + 4*r - 3*r. Determine b(h(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*i = 590, 908 = -4*w - 4*i + 288. Let y = 165 + w. Solve 5*k + y = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 43684*o**2\/3 + 174712*o\/3 + 174704\/3.\nAnswer: 2*(o + 2)**2*(o + 21838)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*x + 6*z - 5*z, -3*x + 2*z + 1 = 0. Suppose -2*y + l + x = 0, -2*y + 2*l - 9 = 5*l. Solve 0 = -y*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-18)\/3864*(567\/(-2187))\/(2\/(-18))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b**2 - 6*b**2 - 5*b**2 + (-1 - 2*b + 1)*(0 + 2*b + 0).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auyht. What is prob of picking 1 y, 1 u, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 0, 6, 35, -8, 3 in descending order.\nAnswer: 35, 6, 3, 0, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -757226 divided by 1\nAnswer: -757226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 5*y**2 - 4*y - 1. Let r be v(3). Suppose -2*h = -j + r + 6, -2*j = -3*h - 17. What is the hundreds digit of ((-464)\/20)\/1*h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/560)\/(((-1)\/(-4))\/(-1)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(52*u**3 - 3*u**5 - 52*u**3) - u**5 + 3*u**3 - 3*u**3.\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/54051026 or 0?\nAnswer: 7\/54051026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 2*x**2 + 3*x + 5. Let u(i) = -2*i**3 - 3*i**2 + 5*i + 9. What is -5*a(c) + 3*u(c)?\nAnswer: -c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/63*(-15)\/20*(-1376)\/(-2580)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74917922 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.2, -1.2, 12, -0.131, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330 + 31043322?\nAnswer: 31042442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229 + 443. Let d be (-129)\/2 - 5\/10. Let r = u + d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 13. Let t be x - (-2 - (1 - 1)). Let r = 0 + 4. Solve t = -5*j - r - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 27 = 39*i. Is 671 - (-9 - i\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmz when three letters picked without replacement from rmmzmrppz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from xfffffffxffffzfffffx.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10606065 to the power of 1\/2, to the nearest integer?\nAnswer: 3257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 35 + 981*r**3 + 20*r**2 - 3*r + 18.\nAnswer: 981*r**3 + 20*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -242*f**3 + 242*f**2. Let t(d) = -9*d**3 + 9*d**2. Let j(p) = 2*m(p) - 55*t(p). What is the third derivative of j(r) wrt r?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 30. Let z(q) = -q**3 + 4*q**2 + 4*q + 2. Calculate z(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 2. Let n be p(2). Suppose k + 8 = 2*x, x - n + 1 = -k. Let a be (k\/3)\/(3\/9). Solve -4*q + 4 = -4*u, 5*u = -a*q + q - 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448057 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 21. Suppose 3*t = -5*o + 21, 3*o + 4 = t + w. Suppose -o*y - 2*y + 10 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 573\/(-382)*(-11)\/462\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -212, -214, -218, -224?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**2 - 31*k + 3 + 6*k**2 + 13*k. List the prime factors of f(-12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p. Suppose 2 = 2*h - 8. Let z(t) = -t - 1. Let r(f) = 4*f + 13. Let o(v) = h*z(v) + r(v). Calculate o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 131.9? (a) -1\/5 (b) 0.5 (c) -1 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2815)\/(-2252))\/((-5)\/(-88)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/25? (a) 0 (b) -0.2 (c) -0.4 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9, 11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**27\/y)))\/(y\/(y*y**(-30))))\/(y**(-33\/5))**(-1\/55) assuming y is positive.\nAnswer: y**(-103\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -18. Suppose 13*r = 8*r - y. Let m(p) = p + 1. Let u(i) = -4*i - 3. What is r*u(j) - 3*m(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43532726?\nAnswer: 2, 21766363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p, -t + 2*p + 5 = 0. Put -5, -19, 4, t in increasing order.\nAnswer: -19, -5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -142?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -127\/4. Suppose -1 = 2*t - 9. Let i be (45\/t)\/5 - 2. Sort 0.5, i, f in increasing order.\nAnswer: i, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79515678 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: Simplify -1*((3*sqrt(637))**2*6 + -3 + sqrt(637)*2).\nAnswer: -34395 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.8 + -15.483. Let g = -0.317 + y. Let k = -3.5 + -0.5. What is the third smallest value in g, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1731*s - 301*s - 218*s + 770*s.\nAnswer: 1982*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 15*l + 8*l + (5*l - 4*l + l)*(2 + 1 - 1))*(21 - 21 - 7*l) as p*l + a*l**2 + t and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, j: 3}. Give prob of picking 2 n.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*x = -x - 20*x + 3759 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -124, -123?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132053968 divided by -66026984?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1446.544 - 0.00015376.\nAnswer: -1446.54415376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 2, -19, -50?\n\"Answer: -5*q**2 + 4*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11211585?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -325 + -3038?\nAnswer: -3361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*207\/4048)\/((-3)\/(-4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z + 3. Let v(r) be the first derivative of 3*r**2\/2 - 39. Give v(s(j)).\nAnswer: -21*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 18176728*m**2\/3 + 9177599616660*m - 12236788717488 = 0.\nAnswer: 4\/3, 3029454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*(25 - 538)\/19.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q. Let p(w) be the first derivative of -3*w**3 - 32. Calculate d(p(o)).\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 3*r**4 - 3*r**4 + 9*r**3 + 37*r**4 - 9*r**3 + (3*r**3 - r**3 + 0*r**3)*(-1 - 2*r + 1) + 2*r**4 - 4*r**4 + 3*r**4.\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3 = 3*c, 4474 = 1041*c - 2*y - 725 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1089) - (sqrt(1089) + (sqrt(1089)*-2 - sqrt(1089))))*1 - sqrt(1089))\/(-3*sqrt(75) - sqrt(12)*-5).\nAnswer: -22*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o - 17. Let v = -432 + 437. What is the remainder when 87 is divided by k(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 38*b + 42*b - 13, 0 = -3*q - 2*b - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 - 13 = 0, 3*v - y = 8. Let a be -3*v\/6*-1. Sort a, -6, 1.\nAnswer: -6, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -54, -192, -468, -930, -1626?\nAnswer: -2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 + 12*f - 149. What is u(7)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -788*v + 8. Is w(-1) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 76*b - 365. Solve b*m - 17 = -r - 2*r, m + 3*r = 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4437 = -630*d - 36513 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12873, -25734, -38609, -51504, -64425, -77378, -90369?\n\"Answer: -p**3 - p**2 - 12851*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -0*f. Suppose -p = -f*a, p = a + 2*p. Suppose 44 = -a*n + 2*n. Solve 3*m + 7 = -4*k, k - n = 3*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-89*d**2 - 98*d**2 + 309*d**2).\nAnswer: -122*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*x + 4*k, 805*x + 3*k = 810*x + 30 - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*c - 4*c**2 + 282*c - 35*c + 5*c**2.\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 - 39*w + 148801*w**3 - 148798*w**3 - 2*w**2 - 3 as r*w**2 + i*w + b*w**3 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -64, -69, -40, 35, 168, 371, 656?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o)**13\/(o**(-1\/6))**(-32) assuming o is positive.\nAnswer: o**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145 - -174. Let r(o) = o**3 - 28*o**2 + 7*o - 77. Is r(k) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*i + 112 = -14, -3*i = 5*w - 176. Let z(q) = -3 - 5 - 20*q + w*q. Is z(7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534446830.\nAnswer: 2, 5, 1451, 36833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 117*h - 15903 = -118*h, 3*h = q - 3203. Calculate the remainder when q is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-816*r**2 + 816*r**2 - 965*r**5)*(-1 + 0 + 3).\nAnswer: -1930*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -302.9105 + 302.9. What is g rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 15. Let a be z(-13). Let v be 9*(-3 - 4\/a). Let s = v - -15. Solve 2*o = s*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5132 = 6*z - 508. Let q = -420 - z. Let f = -911 - q. Is f 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 607604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3584 = 4231*y - 4175*y. Solve 0 = -33*t - 361 + y for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Suppose v = u - 4*u + 4*g + 11, 6 = -4*u - 5*g. Calculate the greatest common divisor of 8 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 14, 2, -14, -34?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {q: 2, p: 3, l: 1, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7 = -x, 4*x + 2*v + 4 = 3*x. Let w(l) = -l**2 + 2*l + 1. Give w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -43*p**2. Let t(u) = -2*u**2 + 5*u. Let o(w) = -2*w**2 + 4*w. Let f(i) = -5*o(i) + 4*t(i). What is z(f(r))?\nAnswer: -172*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-850)\/(-51)*(-6)\/(-4). Let c = 31 - j. Calculate the highest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 4*c. Let j = c - 2. Let z be 3 - j\/128*97. Are z and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**2\/11 - 114174*n\/11 + 8416020\/11 = 0. What is n?\nAnswer: 74, 18955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -228962?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17*d**2 - 4*d + 6. Let w(b) = 18*b**2 + 5*b - 7. Give 7*m(y) + 6*w(y).\nAnswer: -11*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*t**2\/5 - 134*t\/5.\nAnswer: 2*t*(11*t - 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(10\/(20\/4)))\/((-248)\/1612)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/29)*k**10)\/(k**(-1))**34 assuming k is positive.\nAnswer: k**(1336\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 5*x + 2. Let k be 155\/7 + 3\/(-21). Suppose -3 = -5*n + k. Let z be p(n). Let c(l) = l - 2. Give c(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121 + 106)*1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20595 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsvvsdrsmvvv. What is prob of sequence mrvv?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 7288717?\nAnswer: -7288718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 934*q**2*v - 4*q**2 - 3*q*v - 2*q + 11*v + 21 wrt q.\nAnswer: 1868*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129947008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 41858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-41))\/(-1) - 0. Let q = x - -102\/287. Sort 5\/2, 2\/15, q in ascending order.\nAnswer: 2\/15, q, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*o = 163*o + 3165. Calculate the remainder when o is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 16*v**2 - 12*v + 48. Let m be b(-15). Suppose -3*f + 154 = j, -m*f - 5*j + 18 = -140. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -326115?\nAnswer: -326110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 783628, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 25 = -x - 8*s, 39649*x - 39653*x = 2*s + 68 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 + 977. Let r(i) = -11*i. Calculate m(r(l)).\nAnswer: -363*l**2 + 977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/3, 6, -0.2, -5, 2\/3, -60599?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -36.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 172 = -16*n. Put 14, 0, n, 2 in increasing order.\nAnswer: 0, 2, n, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-5)\/(-4 + 3). Solve -5*g - d*f - 20 = 0, 18 - 2 = -g - 5*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -73*r + 33*r + 56*r + 34*r. Let x(a) = -17*a. Let m = -4 + 10. Give m*o(s) + 17*x(s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*o**4 + 2*o**3 - 2*o + 72 wrt o.\nAnswer: 2136*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 3. Suppose -h + 3 = j. Solve -4*r + 8 = 2*f - h, 0 = 4*f + 3*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3014 - -3104. What is the smallest common multiple of 60 and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(3\/2)*d)**15\/(d**(3\/5)\/d)**(-7) assuming d is positive.\nAnswer: d**(497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -870 - -882. Solve -11*d + f*d + 14 = 3*u, -2*u + 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.038225 to three dps.\nAnswer: 1.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -44. Let n = c - 18.7. Put 0.5, n, -0.3 in decreasing order.\nAnswer: 0.5, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.057 + -0.157. What is the second biggest value in o, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, 1207, -2.\nAnswer: -2, 0, 15, 1207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/21*-3*(-12)\/(-30). Solve c*i - 5*w - 10 = 0, -7*i - w - 2 = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m - 2655. Let w be 8\/6*m\/(-6). Calculate the remainder when w\/(2 - (4 - 0)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h**2 + h + 2. Let u(z) = -z - 1. Let k = -37345 - -37344. What is k*s(t) - 2*u(t)?\nAnswer: 12*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10806 is divided by 438.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*h*k**2*m**3 + 2*h*k - 2*h*m**3 - k**2*m**2 + 7*k**2*m - m**2 wrt m.\nAnswer: 756*h*k**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8487483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3125 + 46877\/15. Which is the third biggest value? (a) z (b) -115 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-60)*96\/(-324)*(-351)\/26\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1405990 and 30\/299?\nAnswer: 18277870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 229.46 hours?\nAnswer: 826056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 2\/15*t**7 - 29\/15*t**6 + 0*t - 52\/3*t**4 + 9*t**5 + 0 - 125*t**2 + 40\/3*t**3. Solve g(z) = 0 for z.\nAnswer: 2\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00588819 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -3*d**2\/2 - d - 13. What is l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983484?\nAnswer: 2, 29, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8\/11)\/j**(-1\/10))\/(j**(-36)\/j**(-1\/6)) assuming j is positive.\nAnswer: j**(5809\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-321)\/107 + 213\/69?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 2. Suppose -2*s = c - 15, -16*c + 12*c + 3*s = -38. Let j(d) = -4*d - 1 + 11 + 4*d + 16*d. Calculate c*x(y) - 2*j(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 12. Let k = 57 - i. Let n be (-429)\/(-52) - k\/8. Solve 3*q = q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 5*q**2\/2 - 9*q - 3. Let p(b) be the first derivative of b**2 - 4*b - 2. What is -3*n(g) + 7*p(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 79 = 21. Let p(z) = -z**3 + 8*z**2 + 2. Let b be p(8). Suppose -v = -4*f + 29, -f - 8 = b*v + f. Is v greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4284 = w - 4*w. Let o = w - -2225. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2520 divide 1038886638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.5 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 3, -1\/366?\nAnswer: -1\/366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150\/(2\/20 + 26\/65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212238821.\nAnswer: 6427, 33023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8549.67585 to the nearest 100.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64480 and 90272.\nAnswer: 451360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((144\/(-27))\/8)\/((-10)\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5*o**3 - 9 + 16 - o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7436 by 4.\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let w(o) = -o. Let h(c) = -5*n(c) - 6*w(c). Let t be (-132)\/(-8) - 3\/2. Let j = 12 - t. Determine h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1686296472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2123 + 441 = 5*s, 2544 = 5*s - 4*v. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 + -677\/5. Let s = -0.2 - 0.3. What is the third biggest value in m, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 3:09 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -902 + 891 - (1 - (-1 + 7 + -3) - 134)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1226, -1, 2.\nAnswer: -1, -1\/1226, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-9)*(-9)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -132, -0.2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 + 16 = 5*f, 8 = 3*f + r. Let d = -0.3 + 0.1. Sort 0.5, d, f in ascending order.\nAnswer: d, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9956915.\nAnswer: 5, 241, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706355?\nAnswer: 5, 13, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19457 - -286?\nAnswer: -19181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1138*j + 1625. Let i(h) = -1133*h + 1623. Let b(c) = 7*i(c) - 6*w(c). What is the first derivative of b(t) wrt t?\nAnswer: -1103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16022113 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:11 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*f + 98, -2*p - 3*f = p - 189. Suppose -4*c - 7 = -p. Solve -3*g - c = -4, -2*r + 2*g = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 18 = -5*v, 6*v + 22 = -4*p + 3*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*k + 9 + 15. Let v(q) = q**2. Let y(n) = -2*n**2 + 2. Determine k*y(f) + 5*v(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0547699 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 1, i: 2, j: 2, l: 1, p: 1}. Give prob of sequence pii.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*j**2 - 6522*j + 135*j**2 - 3*j**3 + 5597*j.\nAnswer: -3*j**3 - 2*j**2 - 925*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495339543 and 10026?\nAnswer: 5013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 31 = 5*q. Suppose k + 6 = q*k + 3*j, 4*j + 12 = 0. Suppose -6*z = -k*z. Solve z = 4*y - y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*j**2 - 27*j**2 + 21*j**2)*((0*j - 5*j + 4*j)*(-3 + 1 + 0) + 2 - 2 + j) to o + p*j**3 + g*j + u*j**2 and give p.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 4*i. Solve -i*p - 4*y = 2, -3*p - 2*p = -y + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4096*d*r**2 - 2*d*r - 3444*d + 1 wrt r.\nAnswer: -8192*d*r - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111175376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 21. Let g(i) = -3*i - 17. Let w(b) = 5*g(b) + 4*t(b). Give w(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 18324 = 9*w. Let f = 597 - w. What is the common denominator of -3\/16 and (2\/(-8))\/(85\/f)?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/(-1248)*21\/49\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37602897 to the nearest integer?\nAnswer: 6132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1721*i**2*p + 38*i**2 + 28 with respect to p.\nAnswer: -1721*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 494, 1664, 3528, 6080, 9314, 13224, 17804?\n\"Answer: -i**3 + 353*i**2 + 118*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {n: 5, y: 2, h: 13}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60106 and 656.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 36 = 71 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6351 - -6350.9. Put 1\/5, -5, 3, n, 13 in increasing order.\nAnswer: -5, n, 1\/5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one quarters of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/12 - j**3\/3 + j**2. Let i be n(-3). Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -242*d**3 - 5*d + 8. Let s be a(4). What is s rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 13*f = 0, 4*f + 3*f = -2*x + 2*f - 26 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 171?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 9*v**2 + 3*v - 30. Suppose -3*i + 107 - 101 = -3*o, -2*i + 46 = 4*o. Calculate a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -3, -2\/3, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32205, 118, 1?\nAnswer: 32205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 362569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 + -3.4. Which is the third biggest value? (a) 0.1 (b) -0.04 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40\/(-6))\/((-13)\/390*5). What is the greatest common factor of v and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 12770.7.\nAnswer: 12765.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 39\/26*2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6119 - 6109. Put i, 5, 24 in increasing order.\nAnswer: 5, i, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/186 and 51\/16?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 2376.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 (base 8) in base 4?\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -974, -976, -978, -980, -982?\n\"Answer: -2*i - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -219\/35, 4, 0.1, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.063 - -18.437. Let v = 0.33 + -18.33. Let r = v + g. What is the second smallest value in 0, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 + -4?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 49973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and -136 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 smaller than 1\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(605)*-1 + -2) - (-3 + ((-2 + sqrt(80))**2 - (sqrt(125) + 1))).\nAnswer: -72 + 65*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70561153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 2. Solve -o = 4*m - d, 4*o + 3*m - 12 = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 338309*k + 338308*k + 120 = 0, 2*o + 4*k = 3*k + 10 - 51 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268 and 1541.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37\/60 - -13\/15. What is the closest to -0.04 in -0.3, t, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1594 + -1599. What is the closest to 1 in 5\/4, u, -0.14, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3115 - -18038. Is 33 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 - -98 - 42) + (1 - 31) - (13 - -1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4719973, 0.1, 2 in descending order.\nAnswer: 4719973, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150737284.\nAnswer: 2, 37684321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbmbbbbmmbbbbm?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11260 divided by 9?\nAnswer: -11260\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24136.76 - 0.05?\nAnswer: -24136.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 + 5*u**2\/4 + u.\nAnswer: u*(u + 1)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26587 + -236951\/9. Which is smaller: c or 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1519843, -1519772, -1519701, -1519630?\nAnswer: -1519559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0943818972111071 - 0.2.\nAnswer: -0.2943818972111071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/((t**(-2\/19)\/t)\/t)))**(-4\/9) assuming t is positive.\nAnswer: t**(236\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 21 = 30*m. Solve m*a = 10*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*s + 275 + 644 - 273 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + -2 + (-2 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = 3*k + 19, 46 = 4*l - 2*k. Suppose l*a - 5*p + 55 = 5*a, p = 3. What is the remainder when (-566)\/a - 3\/(-12) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 - 3*x**2 + 6*x. Let y(q) = 11*q**3 + 8*q**2 - 17*q. Give 8*u(v) + 3*y(v).\nAnswer: v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b28632 (base 13) to base 9\nAnswer: 7740365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146818 + 132*x - 948*x + 146853.\nAnswer: -816*x + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5985 (b) -36 (c) -1 (d) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*o**6 - 3*o**5 + 16*o**4 - 1293*o**2.\nAnswer: -1200*o**3 - 180*o**2 + 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - -143. Let y be (r\/(-55))\/((-3)\/(-10)). Let i = y - -18. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a1 (base 12) in base 4?\nAnswer: -322021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 400*g - 808.\nAnswer: 2*(g - 202)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-164)\/574 - (-69)\/21. Solve -4*x - 3 = -3*x - 3*c, x - 4*c = -a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 times -50?\nAnswer: -4450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**4 + 1719*w**2 - 1041 wrt w.\nAnswer: -4*w**3 + 3438*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -9 + (34 - (61 + -27) - (-1 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001002935 to 7 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 + 5 + 168907*h.\nAnswer: 168907*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4030 is divided by 183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 20.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -437.\nAnswer: -174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16552*c + 20*m = -16549*c + 406, -100 = -5*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8)\/a*a*a**(2\/15)*(a\/(a**1*a))**(-6\/19))\/((a**(-4\/7))**30)**(-42) assuming a is positive.\nAnswer: a**(-1640291\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/24 - j**3\/6 + 10*j**2. Determine y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2393 - m - 2393.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*75\/(-225).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 10. Suppose 3*g + 21 = t*w - 15, -3*w = -2*g - 41. Suppose -3*v - w = -o, 2*o + 4 = v + 48. Calculate the remainder when o is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -471*g**6*y**3 + g**6 - 26*g**2*y**3 + 5*g*y**3 wrt g?\nAnswer: -56520*g**3*y**3 + 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*x - 42. Suppose -4*l = -3*l - x. Let m be 4\/(((-5)\/5)\/(-2)). Solve 4*q = l + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + t + 4)*((-1 - 1 + 1)*(-1 - 1 + 4) - 2 + 0 + 0 + 1 - 4 - 4).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6493 and 3000974?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.02, -0.3, -30 in descending order.\nAnswer: 1, -0.02, -0.3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 72. Suppose -6 = 4*g + y - x, -12 = -4*g - 4*y. Solve -5*a + g*q - 12 = 0, 2*q - 20 = 3*a - 3*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464 - -201?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41072 - 13576 - 7*j - 13922 - 13574.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.215 - -0.015. Let a = 3.1 + -3. Let t be 33\/45 - 1\/3. What is the second biggest value in l, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 4*f**2 - f + 2. Let u be 1\/1*13\/1. Suppose 0 = 3*y + a - u, -4*y - 2*a + 10 = -6. Suppose 0*o + 4*o - 2 = 5*d, 3*o - y = 2*d. Determine v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 5*l**3 - 4*l**3 + (2 + 1 - 5)*(-l**2 - 2*l**3 + l**2) - 6*l**3 + 4*l**3 + 4 + 2.\nAnswer: 4*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.0818 - -0.0182. Which is the biggest value? (a) 0 (b) 4 (c) i (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0.01. Let s = 0.52 - o. Which is the biggest value? (a) -0.3 (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**28))**(-5)\/(a**3*a*a**(-8\/3)))**31 assuming a is positive.\nAnswer: a**(-12679\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 2*j + 2*j)*(2*j**4 + 2*j**4 - 5*j**4) + (2 + 2 - 5)*(-j**5 + 3*j**5 - j**5).\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87537781*s**3 + 38870824*s - 3 wrt s.\nAnswer: -525226686*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 5376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -11211.\nAnswer: -13\/11211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 7505*w**2\/2 - 7872*w + 12602. What is the first derivative of s(m) wrt m?\nAnswer: 7505","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t - 52*t - 61*t - 62*t + 233*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Solve -4*b - t - 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*c - 6, c - 3*c - 4 = 0. Suppose 11 = -2*n + 13. Let p = y - n. Which is smaller: p or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) -10.58 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1012487, 8100097, 27337899, 64800989, 126564463, 218703417, 347292947, 518408149?\n\"Answer: 1012516*k**3 - 2*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59445175 or 59445163?\nAnswer: 59445175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z**2 + 4 - 5 + 1 + 939*z + 38*z**2.\nAnswer: 6*z**2 + 939*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*y + 370, -5*y + 5*q = -7*y + 173. What is the remainder when y is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*z**2 + 62*z**2 - 105*z**2 + 13*z**2 in the form d*z + v + f*z**2 and give f.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -750 (base 10) to base 3.\nAnswer: -1000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.95787 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Solve -d = f*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4658*27.033.\nAnswer: 125919.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -69*y + 68*y + 2*j, -3*y + j = 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73922588?\nAnswer: 2, 18480647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20393517, 40787027, 61180537, 81574047, 101967557, 122361067?\nAnswer: 142754577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/32 or 0.058?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/3*(-5 + 2). Let x = a + -5. Calculate the lowest common multiple of (x + 14 - 0) + -3 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 912*f**2 - 5*f. Let u(i) = 162790*i**2 - 892*i. What is -892*j(y) + 5*u(y)?\nAnswer: 446*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23130 and 14622015?\nAnswer: 87732090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 27, -27, -115, -249?\n\"Answer: -2*h**3 + h**2 - 21*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 16658*h + h**2 + 101 - 56 - 16620*h + 66. What is b(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187292 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:38 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -34. What is the nearest to -0.1 in 0.1, 5\/4, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 3*r + 4. Let v be y(3). Suppose 7 = 5*b - v*b. Suppose -2*l + t - 33 = -2*t, 0 = 2*l + 5*t - b. Is -11 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199*o**3 - 8*o**4 + 199*o**3)*(-o + 0*o + 4*o).\nAnswer: -24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2774 + -1?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/31523 and 77\/1030476?\nAnswer: 29883804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 6*f - 4. Let y be o(-5). Let t be y*-48*(-2)\/6. Suppose 0 = 2*a - t - 14. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47992875 divided by -987.\nAnswer: 48625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*l = 15, -3*h + 6 = 10*l - 13*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2 + 317205\/(-162). Let a = 1950 + i. Calculate the common denominator of -81\/778 and a.\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0204 less than -0.1?\nAnswer: -0.1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 246.7, 2\/11, -0.5, 2, -126 in ascending order.\nAnswer: -126, -0.5, 2\/11, 2, 246.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*d + 3, 0 = -2*d + 3*d + 5*v + 23. Solve -3*r - d - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*x + d - 113, 2*x + 4*d - 72 = 0. What is the highest common factor of x and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 61, 63, 67, 73, 81, 91?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 47*u**2 + 66*u - 47. What is the thousands digit of p(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52.62 - -2083.38. Let i = g + -2145.954. Let v = i + 10. Round v to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -16\/17 (c) -19 (d) 2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -14662?\nAnswer: 1172.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 16\/7*d**2 - 16\/7*d - 28*d**4 + 28*d**3 + 0 = 0.\nAnswer: -2\/7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -26*x + 43*x - 16*x. Let i(q) = -2*q**2 - 5*q + 1. Calculate i(t) + 2*p(t).\nAnswer: -2*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otoftooito. Give prob of sequence it.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25532 - -25243. Sort f, 5, 1 in increasing order.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 10*g + 4*g + 2)*(0 - 2*g + 0)*(-17 - 10 + 10).\nAnswer: 204*g**2 + 68*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117.61 - -117. Let q = -2.61 - i. Is q less than 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**2. Let d(j) = 7816663*j. What is d(q(s))?\nAnswer: -78166630*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27577144 plus 67?\nAnswer: -27577077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52811257 rounded to the nearest ten thousand?\nAnswer: 52810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 265137165*w + 330625288.\nAnswer: 265137165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2138\/4851 + -2\/539. Suppose 3*a + 5*b = 8*a, -5*b + 32 = 3*a. Sort a, -2, d in ascending order.\nAnswer: -2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-498)\/5 + 12\/(-30). Let k = g + 55. Let w be k\/6*(-48)\/10. What is the greatest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9015 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**3 - 5*g**3 + g**3)*(-1 + 0 - 1)*(-g + 3*g - 9*g) + (-3 + 5 + 0)*(-2*g**4 + 0*g**4 + g**4) in the form y*g**3 + w*g**2 + h + p*g + d*g**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -123, -226, -327, -426, -523, -618?\n\"Answer: d**2 - 106*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58, 1, -20, -4\/9, 4\/9, 1124?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*h = -0*h, 0 = -h - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22019 is divided by 182?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 27*r + 6. Let p be f(29). Let v = 52 + p. Let l = -1\/12 + -1\/24. Which is the closest to v? (a) l (b) 0.1 (c) 4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {p: 1, c: 1, q: 4, v: 2, t: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2583*b. Let x(f) = -5650*f. Give q(x(j)).\nAnswer: -14593950*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 12*p - 70. Solve -p = 9*k - 7*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-2) + 0)*-1. Let h = j - -6. Suppose 2*n + t - 258 = 0, 381 = 3*n + h*t - 0*t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2. Let s(y) = y**2 + 2*y - 2. Let i(j) be the second derivative of j**3\/6 - j**2\/2 + 29*j. Let p(v) = -2*i(v) + s(v). What is p(f(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 549663?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 11817943?\nAnswer: 319084461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -165 - (-75 + -66) - 2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*u + 68 = 0, -t = 2*u + 8 + 4. Let n be (-141)\/21 - (-4)\/t. Suppose 8*h - 2*h = -6. Put 1, n, h in decreasing order.\nAnswer: 1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*s = -15, -4*s = 7*u - 2*u + 7. Let c = -92\/31 + 4754\/1581. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35796, 35797, 35798, 35799?\n\"Answer: o + 35795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(-6*(-4)\/108)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8622 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g**2 + 377*g - 1291. Calculate i(30).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = h + 5, 3*h = 4*b - 11. Let q be (-1 - -2) + 2 + b. Factor -m**q - 2*m + 4*m**3 - 2*m**2 + m.\nAnswer: m*(m - 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62250\/7 - -8092157\/910. Let k = 12\/13 - c. What is the common denominator of k and (1\/4)\/((-55)\/1023)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-37)*u*u\/u**(8\/5))\/(u**(5\/8)\/u*u*u*u\/(u\/u**(-2\/29)*u)) assuming u is positive.\nAnswer: u**(-43101\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6391 - 3027 - 6*l - 3364.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 35\/(-5) + -2 - (-80)\/(-12)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*2*(sqrt(567) + -1 + sqrt(567)) + -2*(sqrt(252)\/sqrt(4) + -5))*5.\nAnswer: -930*sqrt(7) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 58953155 to the nearest one million.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 3\/4 (c) 1\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 * -0.36\nAnswer: -0.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -d540cd (base 14) to base 12\nAnswer: -24ab8b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - m - 5\/4*m**4 + 7\/4*m**5 + 29\/4*m**2 - 23\/4*m**3.\nAnswer: (m - 1)**3*(m + 2)*(7*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 387? (a) 2\/551 (b) -2 (c) -3 (d) 1\/5 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(7\/2))\/i**(-1\/3)*(i*i**0)**(-5\/21))**7 assuming i is positive.\nAnswer: i**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*o + 1, -6 - 3 = -v + 3*o. Let i(j) = -3*j - 3*j + v + 2*j. Give i(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (34 - 1) + 1*(-2 - -5). Does 37 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1915*x - 1980*x + 130 = 0. Solve 3*j = r + 3, 14*r - 19*r + 36 = x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22735 + 1477739\/65. Let v = i - -2\/5. Which is the second smallest value? (a) -2\/5 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 88, -494, -1760, -3716, -6368, -9722?\n\"Answer: -h**3 - 336*h**2 + 433*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (28 + -53) - (-1 - -8)) + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236885 and 12045.\nAnswer: 710655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/24 - 5)\/(9\/(-36)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 105*g - 3400 = 0. Calculate the least common multiple of g and 1428.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63*((-36)\/12 - (-184)\/56)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 273 (base 15) to base 16\nAnswer: 22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3215 - -1.1215. Let t = 1 - 0.99. Let a be 1\/15*6\/2. Put a, b, t in increasing order.\nAnswer: b, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -6, 2\/15, 21, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-3 - (-3 - 2)) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -4, -2, -3, 3.\nAnswer: -4, -3, -2, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*b**2 + 23*b**2 + 35 + 18*b**2 wrt b.\nAnswer: 56*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 2. Let p be t(7). Suppose -i = 5*c - 328, i + 3*i = p. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)\/(u\/(u\/u**(-4\/11))))\/((u**(-2\/19)\/u*u)\/u**(2\/11)) assuming u is positive.\nAnswer: u**(345\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 2*d - d. Suppose 0 - 4 = -2*z. Suppose -5*c = -0*o - 2*o, -z = -c. Determine j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 3*s**2 - 2*s**2)*(84*s + 9 - 19*s - 42*s).\nAnswer: 23*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 4*y + y + (-4 + 0 + 6 + (-1 - 3 + 5)*(1 + 2 - 4))*(5*y - 4*y + y) to the form n + f*y and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 1 + 21 = 0. Let s(v) = v**3 + 8*v**2 - 2*v - 7. Let q be s(-8). Let n be (3 - 1) + 1 + 0. Solve 3*w = q, 0 = o*d + d - n*w + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -114209469.463.\nAnswer: 114209469.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = y - 3*y + 2*o, 2*y = 4*o + 98. Let n(t) = -t**3. Let d be n(-1). What is the tens digit of (y\/(-3))\/(d*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352.58 minus -378.94689?\nAnswer: -973.63311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 17*f - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 40*l - 19. What is k(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10\/21 (b) -2\/577 (c) -5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39395 to 2 dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15*d = 216. What is the remainder when 33 is divided by (d\/9)\/(2\/(-30))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z + 894 = 234. Solve -n = 4*n - z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(4 + 2*12\/8). What is the tens digit of (36\/d)\/((-10)\/595)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -147. Let y be (-3)\/9*v - 1. Solve 0 = -2*f - 3*h - 0 + y, 0 = 4*f + 2*h + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7579872.\nAnswer: 2, 3, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10*24*(-17)\/(-2380)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1080\/(-21))\/(-30)*14\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.317624 millilitres to litres.\nAnswer: 0.000317624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 4*f - 4*f)*(27*f**2 + 102*f**2 - 21*f**2) to u + j*f + s*f**3 + g*f**2 + b*f**4 and give b.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 + 1 + 53*m - 75*m - 35*m + 14*m + m**3 as p*m + b + d*m**2 + v*m**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583619?\nAnswer: 583619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30722235 divided by -6144447?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -598, 0, 9 in decreasing order.\nAnswer: 9, 5, 0, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 193536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*q = 3, 0 = -3*j - 3*q - 0*q. Suppose 0 = 2*n - 5*c - 1014, -j*n + c + 2099 - 604 = 0. Let r = n + -66. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -10, -1, -3, 26, -4, 21 in decreasing order.\nAnswer: 26, 21, -1, -3, -4, -10, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a**3 + 7*a**3 - 59*a**3.\nAnswer: -106*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4075 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 99, 11, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minutes before 2:24 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 1323722 (base 8) in base 5?\nAnswer: 43330032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/13))**(-1\/11) assuming n is positive.\nAnswer: n**(-6\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-680))\/(1\/((-10)\/28)). Let k be 2\/4 - 1\/2. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*u - 35 + 17 = 0, 3*r + 3*u = 30. Solve -25 = -r*d + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-1 + 3) - (-58 - -39)) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 533\/2 + -263. Suppose -10\/3*s**2 + 25\/6*s**5 - a*s**3 - 2\/3*s + 0 + 10\/3*s**4 = 0. What is s?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53785*m**4 + 3*m**2 + 3*m - 681506 wrt m.\nAnswer: 215140*m**3 + 6*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27\/11 - -113\/55. Let f = 27 - 21. Let x = f - 6. What is the nearest to l in -2, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9)\/((-1)\/(-54)). Suppose 0 = -2*a + 94 - m. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 16. Suppose -q = -v - 6. Let j(x) = 6*x**2 - x + 1. What is j(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 10*h - 120. Let i be -17*((19 - 22) + 2\/1). Let u be n(i). Let l(w) = -20*w + 1. What is l(u)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -1)*(22104\/(-3))\/8.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + b**2 + 2*b**2)*(-1 + 0 - 1)*(2*b - b + 0*b + (4 - 3 - 3)*(5*b - 11*b - 17*b)).\nAnswer: -94*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i + 18. Let g(d) = 15*d + 33. Let l(y) = 6*g(y) - 11*q(y). Let j(s) = -s + 2. Let m be j(0). Let x(r) = -m*r - 2*r**2 + 2*r. Determine x(l(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 9*g**2 + g - 4. Let y(k) = -k**3 - 5*k**2 + 4*k - 3. Let h be y(-6). Let t be d(h). Let s(i) = i**3 - 6*i**2 + 5*i + 5. Calculate s(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/16 - 99\/(-24). What are the prime factors of -4*(-1 + -1 + (-26)\/i)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22508 = -33*m + 82370. What are the prime factors of m?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3204*z**2 - 586*z + 1568*z**2 + 2*z**3 + 1328*z**2 wrt z.\nAnswer: 12*z - 616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10*z + 13*z, -4*w + 6 = -3*z. Suppose w*x + 2*v - 2449 = 0, 5*v = -4*x + 6*x - 1601. List the prime factors of x.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*f + 9*f. Suppose 0 = 3*v - 5*m + 36, -2*v - 2*v - 48 = m. Let g = -4161\/4 + 1040. What is the closest to g in v, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4508 + 4502. Let m(i) = -i**2 - 13*i - 42. Determine m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*l**3 - 436*l**3 + 66*l**3 + 66*l**3 + 66*l**3 + 68*l**3 + 102*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 11*h + 75. What is o(8)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 + 0*t**2)*(t**2 - 5*t + 5*t + t - t - t**2 + (0*t + 2*t + 0*t)*(t - 2*t + 2*t) - 5*t**2 + 3*t**2 + 4*t**2 + 2*t**2 + 2*t - 2*t).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72591, 72603, 72615, 72627?\n\"Answer: 12*o + 72579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -237.67 take away 0.2?\nAnswer: -237.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 4254464.\nAnswer: 4254464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = 16. Suppose q = -3 + p. Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.7 and 9870.77.\nAnswer: -46392.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**3 + 39*j**2 + 30*j + 21. What is w(8)?\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 9*i**2 + 58*i + 397. What is v(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -358 (base 10) to base 9\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601554193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5233805*m*p**3 + 10*m - 2*p**3 - 10*p**2 + 4276 wrt p.\nAnswer: -31402830*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = -2*a - 20, 5*a - 4*f = -140. Sort -8, -3, a in increasing order.\nAnswer: a, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 92*m - 49*m. Let h(i) = -i**3 + i**2 - i + 5. Let g be h(0). Which is bigger: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + -99. Is 11 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 234722*l - 1. Let k be h(-1). Let n = k + 4930445\/21. Let c = n + -297\/7. Find the common denominator of 24\/11 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2783734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 5*q**2 + 2*q - 5. Let i be w(-4). Let x = 42 + -14. Suppose i*l - x = l. Calculate the highest common divisor of 112 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 199 = -7*y. Let s = y - 193. Let k(h) = -2*h + 11. Determine k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 959*g - 958*g - 2 + 12*g**2 + 2 to i*g**2 + s + p*g and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1 - 2, -j + 2*y + 4 = 0. Let b(o) = -o**2 - 5*o + 10. Let h be b(-6). Suppose -j*g = -6 - h. Solve a + r + 2 = 1, -a + g*r - 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2567*w - 5136*w - 133*w**2 + 221*w**2 + 2569*w.\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 7. Let i be 3*((-12)\/j)\/4. Let t be -12*(0 + (-1)\/3). Calculate the greatest common divisor of i and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 355.8 + -381. Let z = p - -25.200000387. Round z to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-384)\/(-20))\/(-1*2\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17560661572 take away -1?\nAnswer: 17560661573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (227\/4540)\/((-9)\/5 - -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16695*v - 4 + 591*v - 1 + 3.\nAnswer: 17286*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 3*y**3 - y**3)*(-18 + 14 - 8) + (-10 + 6 + 7 - y)*(4*y**2 - 2*y**2 - y**2).\nAnswer: 11*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 665 + -295. Suppose -3*h + 2*h + q = 0. Round h to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a millennium in months?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*x**3 - 12*x**2 - 18*x**2 + 30*x**2.\nAnswer: 319*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:01 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/199680 and 91\/9216.\nAnswer: 599040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728871358.\nAnswer: 2, 364435679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((104\/13)\/96)\/((-1)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 161 = -109. Let r = 153 - -55. Calculate the remainder when r is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-8*(-10)\/(-640)))\/10*65.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - 0.34. Let r = 0.4 + 0. Let q be (-3)\/(-2)*(-4)\/(-10). Which is the biggest value? (a) r (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -43*s**3 - 2*s + 1. Suppose -3*g + 4*p = 4, 0*g - 4*g - 22 = 3*p. Is z(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 3*t**3 - t**3 - 4 + t**2. Let k(r) = 2. Let s(p) = 3. Let h(b) = 4*k(b) - 3*s(b). Let y = 1 - 2. Calculate y*c(d) + 4*h(d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -20*s**3\/3 - 156*s**2\/5 - 36*s\/5 - 4584. Factor q(f).\nAnswer: -4*(f + 3)*(25*f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-1\/10)))**(2\/5))**(-4\/25) assuming o is positive.\nAnswer: o**(36\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 7:48 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 427, -2, -6, 3, -5, -1027 in descending order.\nAnswer: 427, 3, 0, -2, -5, -6, -1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431148.9t to micrograms.\nAnswer: 431148900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7649703 divided by 9\nAnswer: -849967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express u - u + 4204 - 3*u - 629 + 2*u in the form h*u + n and give n.\nAnswer: 3575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 5, -354, 107 in ascending order.\nAnswer: -354, -4, -1, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-105)*-10)\/(-3*20\/135)*14\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q*q**14)**(-38) assuming q is positive.\nAnswer: q**(-912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 2*o**3 + o**3 + o**3 + 2*o**3 + 0*o**3 + (0 + 1 + 0)*(o**3 + 2*o**3 - o**3).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -a - 6, 0 = 4*a + 4*l + 16 - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -34\/823001 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 116*u**2 - 329*u + 56. Let o be m(-55). Let d = 0 + 1. Suppose f - 2*n = d - 2, n + 1 = -f. Is f equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 55. Suppose d = 5*n - 8*n - a, 0 = 4*n - a - 3. Let m(r) = r**2 + r - 6. Determine m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/21 + 16*s**2\/21 + 158*s\/21 + 20\/3.\nAnswer: -2*(s - 14)*(s + 1)*(s + 5)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllfwvffwdvl. What is prob of sequence lld?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1128 divided by 564\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 350 + 3*t**3 - 3*t**3 - 348 - 8*t**4 as x*t**3 + y*t + q*t**4 + u + c*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 25453534?\nAnswer: -25453513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -14*272\/(-357)*(74250\/(-8))\/(-5)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2) + 1\/(-1). Let a = -1 - -1. Let i = -650 + 647. Sort a, i, l in decreasing order.\nAnswer: l, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1169, 1032, 895, 758, 621, 484?\n\"Answer: -137*x + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -249?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -10.2 (b) 2\/117 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -6737904?\nAnswer: -6737904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242912\/21 or 11566?\nAnswer: 242912\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y - 80 = -41*y. Let g(f) = 11*f + 8. Let r be g(5). Suppose -5*x + r = -2*x. What is the remainder when y is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7348260*d*g**2*n - 5*d*g*n + 2*d*g + d*n - g*n + 23*g + 5499*n - 2 wrt g?\nAnswer: -14696520*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/(-8) + 0)*-32. Suppose -2*c + 120 = 3*c - 5*p, -5*c + v = -3*p. Find the common denominator of (-2)\/(-8) - (-167)\/c and 47\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 + 331*y**2 - 991*y - 49. Determine c(52).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -22*i**2 + 7*i + 9. Let y(d) = d**2 - d - 2. Calculate -u(a) - 4*y(a).\nAnswer: 18*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:26 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -5*l**3\/6 + 23*l**2\/2 + 20*l + 4. Let z be ((-6)\/(-9))\/(2\/(-24)). What are the prime factors of a(z)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1984?\nAnswer: -1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12198099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgahgkgdahqakkgkh. Give prob of sequence kg.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -79 + 10 + 14 + -21 + 12.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(325)*-1) + -2 + 4)**2.\nAnswer: -840*sqrt(13) + 11896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*v**2 - 7*v**2 - 59*v**2 - 9*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -18*d**3 + 51*d**2 - 51*d - 9. What are the prime factors of m(-13)?\nAnswer: 3, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*m - 19, -4*m = -2*c + 5*c + 27. Is ((-213)\/9 + -2)*m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i + 17. Let d(o) = 611*o - 1831. Let x be d(3). Calculate z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -73*g + 21. Let z(t) = 441*t - 126. Let c(v) = -35*d(v) - 6*z(v). Let m(u) = -9*u + 2. Give -4*c(w) + 42*m(w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 167 = 112 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8758 and -58?\nAnswer: -507964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -3\/2*p**2 + 0*p - 18\/7*p**4 + 22\/7*p**3 - 19 - 1\/14*p**6 + 6\/7*p**5. Factor c(m).\nAnswer: -3*m*(m - 7)*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 0 = -3*m. Let s be (-4)\/(-6) - m\/12. Factor -1\/5*o**4 + 0*o + s - 1\/5*o**3 + 0*o**2.\nAnswer: -o**3*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w + 1 - 1 + 3*w as b*w + l and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 3*n**2 + 3*n**2 + n**3 + 0*n**3 + 8*n**2 - 5. Suppose 2*w = -2*q + q - 12, -w = -5*q - 38. What is g(q)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*t + 3*t. Suppose -2*f = -t*f + 12. Suppose 3*v = 5*l + 17, 4*l + 138 = -v + 155. Solve l*w = w + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*k + 31, 2*k - p + 24 = -k. Let x = k - -9. Is x + -1 - (-56)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20037*5\nAnswer: -100185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 937792.6mm?\nAnswer: 937792600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4782.519 millennia?\nAnswer: 57390228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(153)*-2 + -5 + -3 - (0 + (sqrt(272) + 1)**2 + 2*sqrt(17)*2).\nAnswer: -281 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 4140?\nAnswer: 45540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201948?\nAnswer: 2, 3, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52 and 290385.\nAnswer: 15100020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1178283, 2356506, 3534657, 4712730, 5890719, 7068618?\nAnswer: 8246421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 5)*(-14*z**3 + 252*z**2 - 252*z**2).\nAnswer: -168*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-380)\/20 + 5*-1. Let d be -9*(-7 - 176\/s). Sort 3, 20, d in decreasing order.\nAnswer: 20, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4022 (base 5) to base 10.\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 1 - 1)*(-2*o + 2 - 2)*(-o**3 + o**3 - o**3).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + o + 46 - 31)*(-3*o**2 + 0*o**2 + 2*o**2).\nAnswer: -o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -126 - 27\/(-27). Let s = -118 - l. What is the least common multiple of (s + -4 + -1)*51 and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j + 702149 + 329201 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*t - 4*t - 16 = 0, -4*f = 5*t + 23. Let y = 1 - f. What is the derivative of y + a - 2 + 0 wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:36 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 608*k**3 - 30600*k**2 - 499392*k + 530604 = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(1 - 3*h**2 - 1 + 5).\nAnswer: 9*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2122*n - 117844 - 4328*n + 117844 to the form b + w*n and give w.\nAnswer: -6450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34593 is divided by 71?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - u - 65 = 0, -6*u - 25 = -u. Calculate the greatest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*p - 11 + 3, -3*g + 24 = 3*p. Suppose f = -4*u - 0 + 237, -f = p*u - 177. Is u + (3 - 8) + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-7)*g)\/g*g**(-6)*(g**11\/g)\/(((g**(-4\/9)*g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 (base 15) in base 14?\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 60202684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1. Let n(h) = h - 3. Let l(x) = -n(x) + q(x). Let a(u) = -26*u + 20. Let o(t) = 5*t - 4. Let c(r) = -3*a(r) - 16*o(r). Give 4*c(w) - 7*l(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 + -1 - 3. Suppose 13 = 5*m - 34*g + 30*g, 4 = -2*g. Sort m, 4, 5, u in decreasing order.\nAnswer: 5, 4, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 17583 + 37055 - 19472.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17701.6952 rounded to the nearest integer?\nAnswer: -17702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 28 = -40. Put 1, f, 4 in increasing order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127446 is divided by 356.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0 + l**2 + 3*l**2 - 2 - 3*l. Let b be j(-3). Let f = -31 + b. Solve -3*y = 3*u + f, 3*u + 9 = -y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 125 = -m. Suppose -2*q = q + 54. Let h = q - m. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402 and 9?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4 - -3) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + x + 2. Let g be i(-2). Is 123\/g - 2\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -52, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455714199 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 64. Let n be m(0). Let y be (108\/(-45))\/((-6)\/20). Calculate the greatest common divisor of y and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220122 + 102?\nAnswer: 1221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - 207 - q**2 - 4*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(-3) - 336\/30.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4 - 11*b**3\/2 + 10*b. Find the second derivative of d(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 3470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -186\/11 in -25, -3, -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*t + 3, -2*t = -0*w - 2*w + 34. Calculate the remainder when 14 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 390?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 49*d + 281. Let k be i(10). Calculate the greatest common divisor of 602 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2421227?\nAnswer: 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + x + 2*x + (-1 + 1 - 2*x)*(-1 - 1 + 3) + 2*x - 3*x + 0*x + 3 - 3 - 2*x + (3 - x - 3)*(3 + 1 - 3) in the form n*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/5? (a) -0.06 (b) 0.2 (c) -4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10083192 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 456236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*6195\/708*(-96)\/(-30)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 507510850 divided by -378175.\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -10 - 2. Let g be (-3)\/2*(-3 - 11\/l). Suppose -3*a - 2*a - 2*z + 16 = 0, -8 = 4*z. Sort g, 6, -5, a in decreasing order.\nAnswer: 6, a, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1076472 kilometers to centimeters.\nAnswer: 10764.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 2. Let l(p) = -1. Determine 2*l(v) - 3*q(v).\nAnswer: 3*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.4 and -232204035?\nAnswer: 232204037.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1485\/(-126) - -12) + 1\/(-2). Which is smaller: x or -0.0003?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((117\/(-30))\/13)\/(3\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -14. Let s = -14 - x. Let b = s - -7.5. What is the closest to -1 in b, 5\/2, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5*63\/105?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1668569 and -79\/43029.\nAnswer: 15017121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20097996.\nAnswer: 2, 3, 59, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 38. Let s(w) = w**3 + 5*w**2 - 6*w + 2. Let r be s(-6). Suppose -r*l = 3*l - a. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 22*l**2 + 2*l. Let y be u(2). Suppose 4*g + 2*a - 3*a = y, -3*g + 92 = 5*a. Let x be (-1 + 7)\/(8\/g). What is the greatest common divisor of 72 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728 divided by 728\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19937 + -7331. Calculate the highest common divisor of 955 and g.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4 + 10*x + 3 + 2. Let g(c) = -c - 3. Let q be g(-4). Calculate the remainder when 20 is divided by y(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 78. Let v be (m\/4*(-1 + 5))\/1. Which is the closest to v? (a) -0.04 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(77\/(-6))*(-7)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-1))*y\/(y\/y**(-2\/7)*y)*(y*y**(3\/7)\/y)\/y**(2\/23))**(-21))**44 assuming y is positive.\nAnswer: y**(41316\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {o: 2, q: 5, t: 4, j: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -173, -167, -157?\n\"Answer: 2*m**2 - 4*m - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 7*l - 22. What is o(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/198 and 103\/640.\nAnswer: 63360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1022 + 1022 + 43*u)*(2*u**3 + 0*u**2 + 0*u**2).\nAnswer: 86*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6431012 a multiple of 2652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 + 2 - 54*u.\nAnswer: -54*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 682*l**4 + 4*l**3 - 1364*l**2 - 2*l + 682 = 0. What is l?\nAnswer: -1, 1, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -658 divided by -329?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 8*g - 3 - 11*g)*(0 + 0 - 3).\nAnswer: 3*g + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 77374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782) + (-6*(sqrt(1782) + sqrt(1782) + sqrt(1782)*4) - sqrt(1782)))\/(-3*sqrt(88)\/sqrt(2)).\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*n**3 + 10*n**3 - 4 to w*n**2 + h*n**3 + q + l*n and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d - 283. Let n be g(-36). Solve 53 = n*b + 43 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*x + 407. Suppose 5576*j = 5568*j + 328. What is the remainder when x is divided by j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360497000 rounded to the nearest 1000000?\nAnswer: 360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1725593, -6902381, -15530365, -27609545, -43139921, -62121493, -84554261?\nAnswer: -110438225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h**2 + 69723 - 69525 - 8*h**2 as d + a*h**2 + v*h and give d.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0 - -4) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 7}. What is prob of sequence sz?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1 - 7*g + 3*g**2 - 4*g**2 - 3. Suppose -50 = 11*c + 16. Is v(c) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(1728) + sqrt(1728)*-2*3)\/(1*sqrt(18)\/(sqrt(3) - (sqrt(54)\/sqrt(2) + sqrt(27) - sqrt(3))))*-1.\nAnswer: -336*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 206441606 and 2?\nAnswer: 206441606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.33 (b) 1 (c) -154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38067443, 38067467, 38067491, 38067515, 38067539, 38067563?\n\"Answer: 24*p + 38067419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 28*x - 350. Let s(b) = 3*b - 35. Let a(q) = 10*s(q) - y(q). Let j(p) = -p**2 - 452*p - 1. Give j(a(t)).\nAnswer: -4*t**2 - 904*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 less than or equal to -47903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3690152 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -30078\/107687?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**3 - 50549967*p + 378257222 wrt p?\nAnswer: 6*p**2 - 50549967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1443 and 1147.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2. Let d(x) = -4105*x**2 - 26. Determine d(v(n)).\nAnswer: -4105*n**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*a - 122*a + 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4113 - 4065. Solve -2*j + 18*j + d = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2 - (2860\/(-99))\/(-13)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 - -32014?\nAnswer: 32151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001914149525 rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -140*s**3 - 5*s**2 + 13*s - 3. Let z(u) = u**3 + 2*u**2 - 4*u + 1. Calculate -n(b) - 3*z(b).\nAnswer: 137*b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 2. Let t be v(2). Let o be 1*((-3 - -7) + 16). Solve t*j - j + o = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -97. Suppose 9 = 2*r + 3*w, 5*w - 1 - 14 = -3*r. Suppose r*n + n = 0. Which is the nearest to h? (a) 6 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 14) to base 9.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/33*(-836)\/2432\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 135. Let o = 57.4 - m. Let u = -8 - o. Which is the nearest to -2\/5? (a) 1\/2 (b) u (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -307, -509, -713?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12311*r + 3 + 10 + 12334*r - 2*r**2 as a*r + m*r**2 + o and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -445, -838, -1259, -1708, -2185, -2690?\n\"Answer: -14*y**2 - 351*y - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z**2 + 21834*z**3 - 7547*z**3 + 5628*z**3 + 41*z**2.\nAnswer: 19915*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**2. Let z(b) = 3318*b + 182. Let j(s) = -221*s - 12. Let g(a) = -91*j(a) - 6*z(a). Give h(g(o)).\nAnswer: -288463*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 28360518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 y when three letters picked without replacement from eycefycyffefffycvf.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 8*b. Let s(l) = -2*l**2 - l. Let a be s(1). Let p(d) = -d**2 + 7*d - 1. Let g(t) = a*p(t) + 2*j(t). Let i be g(4). Are i and 4\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(15\/(-70)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 + -55. Let k = h - 60. Is k <= 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011020102221 (base 4) to base 11\nAnswer: a258282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44\/9? (a) 4707 (b) 0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -0.18. Let o = 4.9 - -0.1. Let y = 0.9 - -0.1. Which is the nearest to y? (a) q (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -2. Let v be (2\/j)\/((-50)\/30). What is the second smallest value in -4, -0.01, v?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4778, 4786, 4794?\nAnswer: 4802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6216)\/200 - 4\/(-50)) + 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12967 is divided by 2131?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x. Let r(v) be the third derivative of v**4\/6 - 29*v**2. Determine t(r(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 192 = -57. Solve -p*u = -2*b - 8, -u + 0*b - 2 = -4*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2199911 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 91 - -5 - (2 - (16 + -19)) - -7\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 207361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 0.9. Let y = c + 0.2. Let o = 2.08719 + -0.08719. Is y at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, e: 5}. Give prob of sequence eeoo.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1306*t - 2519*t - 1902*t.\nAnswer: -3115*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-42))\/(637\/49)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6603320 divided by -4?\nAnswer: -1650830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -30340*h - 161. Is v(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1232*w + 847612. Calculate g(688).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -100*q - 3623. What is s(-32)?\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 301399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-8) - 113\/12 and (-3)\/(-10) - (0 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-6 - (-14 + 18)) + -10 + 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 69259*p**2\/2 + 608486480*p + 306546545550.\nAnswer: (p + 519)*(p + 34370)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 + u - 1. Let m be w(5). Let y(d) = d**2 - 5*d - 10. Let g be y(7). Suppose -m = g*l - 16. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 3*i - 4. Let k be o(3). Let l = k - 32. Solve 5*f + 3*s - 37 = l, -f + 0*f - 2*s = -13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168877 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*j - 99. Let a = j - -21. Suppose -4*z + 4*g + 2552 = a, 3*z + 3*g - 1284 = 648. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, f: 14}. Give prob of picking 1 f and 3 b.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onuo when four letters picked without replacement from {o: 4, n: 4, u: 9}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 5. What are the prime factors of v(-5)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11 + 23*f + 13 - 13*f - 5 + 4. Determine r(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.893 rounded to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**4 - 1008*g**2 + 9709.\nAnswer: 16*g**3 - 2016*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j. Let r(k) be the third derivative of k**4\/2 + k**3\/3 + 6*k**2. Calculate r(m(o)).\nAnswer: 36*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 114 = -3*s, 5*s - u + 10 = 184. What is the remainder when 66 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -16. Suppose -2*k = h*s - 20, 0*k - 4 = -s + 2*k. Suppose -6*t + 2*t + 36 = 4*u, -s*t + 76 = -4*u. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) - -5*(-4*sqrt(896) - sqrt(896)))\/(sqrt(1152) + (sqrt(1152) - (sqrt(1152) - (sqrt(1152) + sqrt(1152)*-5)))).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010651190 to the power of 1\/3, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 2495*s + 2491*s = 294, 5*s - 82 = -3*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(8*z - 17*z + 11*z)*(2*z + 3*z - 4*z)*(2 - 2 - 2*z**2).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/99218?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1287510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 + 2489553*k = 0. Calculate k.\nAnswer: 0, 2489553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/42 - 120\/(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*s - s + 5, 3*s = 0. Solve 5*u = 4*z + 27 - 6, u + 19 = -y*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + 37. Suppose 4 = 61*u - b*u. What is the greatest common divisor of 7 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967563.\nAnswer: 3, 107507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y - 24. Let g(r) = 4*r - 9. What is the remainder when 43 is divided by g(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36232 and 31056?\nAnswer: 217392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 243 + -216 - (-3 - (-7 - 11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y**2 - 3*y. Let j(q) = 10*q**2 + 2*q. Let w be -5 + 13 - (3 + 0). Calculate w*z(l) + 7*j(l).\nAnswer: -5*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*c**3 - 4 + 4)*(c**2 - 2*c**2 + 3*c**2) + 2*c**5 + 7*c**5 + 4*c**5 + 2*c**4 - 2*c**4 + 2*c**5.\nAnswer: 75*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*y - 40*y + 97*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5937804?\nAnswer: 2, 3, 19, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1467058 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-11242)\/(-385) - (-188)\/(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 177380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from {d: 1, z: 1, l: 4, r: 2, j: 2, y: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8514 - -19795. List the prime factors of c.\nAnswer: 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9840496 milligrams?\nAnswer: 984.0496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5254268 is divided by 570.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5117184 is divided by 72073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(2)*-1 + (sqrt(18)*1)\/sqrt(9).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*4)\/(4\/6). Let n(h) = 4*h**2 - h + 28. Let l(t) = t**2. Let v(p) = 5*l(p) - n(p). Let a be v(w). Solve -a*o = -o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414242 (base 6) in base 14?\nAnswer: c230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 77\/5, 0.11, -1\/5 in descending order.\nAnswer: 77\/5, 0.11, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 40*v + 2. Let a be i(20). Suppose -a*j = 5*m - 576, 5*j - 6*m - 1409 = -3*m. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 2, x: 1}. What is prob of sequence hxy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*w + 59, -5*i - 11*w = -3*w - 97. Suppose 0 = -5*u + 152 + 58. Let j = u + -5. Calculate the remainder when j is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -5, -5\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-329998)\/54 + (-2)\/(2\/(-1)). Let v = q + 6109. Calculate the common denominator of 69\/4 and v.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 7. Let a(s) = -5. Let c(o) = o - 13. Let n(j) = -2*a(j) + c(j). Determine 5*n(k) + 2*u(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.168 + 0.1624. What is g rounded to 4 decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 - 3*p + 1. List the prime factors of l(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 5*y - 22. Let j(v) = -v + 23. Let w be j(15). List the prime factors of s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((-61 - -101) + (13 - -3)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + x = -825, 4*x = -z + 144. Let o(w) = z*w + 33*w**2 - 164*w. Let g(c) = c. Calculate g(o(s)).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 5. Let l(p) = -7*p**2 + 3*p**2 - 12 + 11*p + 3*p**2. Let w be l(9). What is j(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l**(-1\/10)*(l*l\/(l\/(l**(-6\/11)*l)))\/(l**(-2\/7)*l))**(-7\/10) assuming l is positive.\nAnswer: l**(-5883\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m - 6. Let r be g(3). Suppose -d + 4 = 5*v - 4, 5*d = v - r. Which is the closest to v? (a) 2\/13 (b) -2\/11 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 94*t - 196*t + 98*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 67*t**3 - 3*t + 2. Is 22 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3603, -15063, -34315, -61365, -96219?\nAnswer: -138883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266913 + 38435597\/144. Let p = -12112 - -871955\/72. What is the common denominator of p and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 16, x: 4}. What is prob of sequence exx?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 188 in -3, -245, 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5798 divided by -77.\nAnswer: 5798\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.33 + -0.33. Which is the third smallest value? (a) 8 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 39. Let p(a) = -a - 202*a**2 - 194*a**2 + 397*a**2 - 2*a - 7*a - 30. Is p(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 9*a. Let k be p(9). Suppose 2*t - 15 + 5 = k. What is o in 1\/2*o**2 - 1\/4*o**t + 1\/4*o - 1\/2*o**4 + 0*o**3 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 9*n**2 + 15. Let u be c(9). Suppose 0 = -4*f + 5*s - 61, 4*f - s + 42 = -u. Is f < -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72 in 2\/23, -12, 3\/4, -1\/6?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.061 + -0.061. Let w = 5 + -5. What is the nearest to j in w, -2\/3, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3018 = 2*n + 3*c, 4*c + 2004 = -2*n - 1018. Let s = 3453 + n. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 314*t - 336*t + 61776. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*i**5 + 3*i**4 + 9686*i**2 - 3*i + 1727401 wrt i.\nAnswer: -1160*i**3 + 36*i**2 + 19372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 + 220. Sort -0.05, n, -1, -2\/7 in ascending order.\nAnswer: -1, -2\/7, -0.05, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*y + 80999980 = 0, -5*c - 5*y = -34732892 + 115732912. What is c rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 4*o)*(-1 + 2*o + 1)*(3*o**3 + 2*o**3 + 0*o**3 + (o**2 + 2*o**2 - 5*o**2)*(0 + 0 - o)).\nAnswer: 42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20320235 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 62*f - 186. Give g(65).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**5\/5 - 5*g**4\/4 - 142*g**3\/3 + 28. What is the third derivative of z(u) wrt u?\nAnswer: -24*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-44))\/((-124)\/8866).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 7. Suppose 4*h - h - w = 0. Is 1*h + (1 - -33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*h*r**3 - 1822*h*r - h + 9*r - 21655 wrt r.\nAnswer: 27*h*r**2 - 1822*h + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-3)*15\/140. Is i != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q + 776 + 77*q - 95*q to the form v*q + t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1608)\/603 + (-20)\/(-3). Sort 2, 2445, q.\nAnswer: 2, q, 2445","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**4\/24 - 2*d**3\/3 + 34*d**2 + 1. Give r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*1 - -2*sqrt(156)*1)\/((sqrt(120)*1*-2)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1076 * 279.08\nAnswer: -300290.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/75 - ((-1004)\/6 + 0). Let t = l + 19. Calculate the highest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001753 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*b = 319*b - 5*x - 7061, b = -4*x - 1746. Is b at most -5326\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/4)\/(39\/(780\/8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/21 and 19\/49068.\nAnswer: 343476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751329.\nAnswer: 167, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-12)\/l*l)\/l)**(-1\/11)\/((l**(1\/8)*l)\/(l**30*l)) assuming l is positive.\nAnswer: l**(2733\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g - 2*g + 3*g)*(2 - 3 + 3 + 0 - 1 + 0 + (-4 + 3 + 0)*(0 - 2 + 1) - 1 - 1 + 4 + 3 + 0 - 4 + 2 - 3 + 0) + g + 3*g - 7*g to p*g + a and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18901137 and 27249.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -379 and 2.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108623166.\nAnswer: 2, 3, 17, 1064933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27317, 54640, 81963, 109286?\n\"Answer: 27323*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(320)*-1 + 4 + sqrt(80) + -2 + -5*-1*sqrt(5))**2.\nAnswer: 24*sqrt(5) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 5:57 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2290584848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 374178848 to the power of 1\/2, to the nearest integer?\nAnswer: 19344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i**2 + 2. Let u(m) = 185*m**2. Calculate y(u(c)).\nAnswer: 684500*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2765 = 3*t, -16*h + 17*h = 3*t + 2762. Let q = -919 - t. Solve 2*x - 4*x - 6 = q*w, -30 = 4*w - 5*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 23*c + 30. Let m(k) = -2*k**2 - 22*k - 30. Let g(i) = 3*m(i) + 4*x(i). Let h be g(14). Solve -h*t = -t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55394, -110508, -165622, -220736, -275850, -330964?\n\"Answer: -55114*u - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44320 + -a81?\nAnswer: 4334a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 920 + -4?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(0 + sqrt(44)))**2)*2 - (-4*sqrt(110)\/sqrt(2))\/(sqrt(20)\/sqrt(16))*1.\nAnswer: 8*sqrt(11) + 1412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -28 - 12*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) 5 (c) -1\/11 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 9. What is f(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -38.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91528*p = 91529*p + 1, -x - 4 = p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-6444)\/20)*(-10)\/(-3). Suppose 3*g - 532 = -2*w, g - 2*g - k = -4*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1283 from 4.\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 3*f**2 + 2*f - 1. What is l(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-0.56.\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6995 or 6992?\nAnswer: 6995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/160)\/((189\/(-14))\/((-24)\/4))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2101, 4187, 6269, 8347, 10421, 12491, 14557?\nAnswer: 16619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5528, -7836, -11682, -17066, -23988, -32448?\nAnswer: -42446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 4*z - 4*z + (-z + 2 - 2)*(0 - 2 + 0) + 4*z + 0*z - z - 6*z + 2*z + 2*z as i + q*z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -105*u**2 - 1471*u - 21. Let i be q(-14). Let x(l) = l**3 + 9*l**2 + 6. Determine x(i).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1. Let l(j) = -4*j - 5. Let f(s) = l(s) + 5*m(s). Let z be f(-6). What is the common denominator of 2\/7 - (-36)\/z and -57\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 596 - 594. Put g, -115, 1 in descending order.\nAnswer: g, 1, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -6715.75?\nAnswer: 2014.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 7.3. Let y = 7.4 - r. Let j = 0.9 - y. What is the smallest value in j, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4081 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13574 greater than 14343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/4 of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (-19 - -21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/35 - 73\/315. What is the closest to 2\/13 in t, 0.7, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c + 149 = -495 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358796 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.5 and 16.6.\nAnswer: 58.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 - 5*m + 2. Let t be r(5). Let q = 67 - 41. Suppose 4*s = 2*s + q. Solve t*a - s = -5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, u: 1, f: 1, s: 1, i: 6}. What is prob of picking 1 i and 3 w?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589208 is divided by 489.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3736*x + 853538 = -3722*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6 and -4.18.\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 3*b = 419, 5*z + 2*b - 518 = 0. Let g(m) = -3*m**2 + 186*m + 932. Let v be g(-5). Let q = z + v. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2925015\/(-75) + 2\/10. Round y to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 3*f. Suppose -5*i + 2*n + 14 = 4*n, -4*n - 4 = f*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v. Let a(c) = -3374516*c. Give a(y(t)).\nAnswer: -20247096*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 308 + -164. What is the highest common divisor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k - k**3 + 64*k - 255*k + 70*k + 66*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 13224*g**2 - 7*g + g.\nAnswer: 13224*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 17*b + 29. Let g be a(-2). Solve g*f + 2*m = 11, 6*m = -3*f + 11*m - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -41, -90, -159, -248?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n + 26*n - 20*n**2.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/12 - 4*l**3\/3 - 21*l**2 + 16*l. Does 6 divide m(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 + q**2 - 1. Suppose 0*w = 2*w - 2. Let x be i(w). Suppose 0 = -2*o - 0*o - 8, x = 3*p + 3*o. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -16, -5, -106, -21, -3.\nAnswer: -106, -21, -16, -5, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*28\/3. Suppose -y*q = -16*q + 32. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(12\/11)*l*l**(-2\/149)*l*(l**(-3\/14))**(-13) assuming l is positive.\nAnswer: l**(134537\/22946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1163980 or 4655915\/4?\nAnswer: 4655915\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000430985625 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(2 - (1 + 2)). Suppose 0 = 5*h - 35. Let w = h - z. Solve -w = y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2988 divided by 50691?\nAnswer: -996\/16897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166981 is divided by 5218.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*z, -3*l + l + 5*z = -6*l + 43. Factor 1\/3*h - 1\/6*h**l - 1\/6.\nAnswer: -(h - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (26 - 25) + 2 + (17 - -5)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*10*(-6)\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1119490 - -34?\nAnswer: -1119457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/4)\/(((r*r*r*r**(-2\/9)\/r*r)\/r)\/r))**(-2\/15)\/(r**8\/(r*r**(10\/9)\/r*r))**(-3) assuming r is positive.\nAnswer: r**(4753\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 856851262 to the power of 1\/3, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -272\/2649?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -13429\nAnswer: -17\/13429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -657 by -2349.\nAnswer: 73\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let y(p) be the first derivative of 0*p + 0*p**2 - 5 - 7\/3*p**3. Determine y(k(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + -6 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30 = -q. Let d(n) = n**3 - 4*n**2 - 3*n - 11. Let b be d(q). Calculate the smallest common multiple of ((-8)\/(-6))\/(b\/(-15)) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/7 (b) 9 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 35.02\nAnswer: 38.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose y*t = -2*t + 6. Suppose 1 = x - 1, 1 = j - t*x. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/27*5\/(-20). Which is the fourth biggest value? (a) u (b) -0.5 (c) 0 (d) 283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399178 is divided by 20518?\nAnswer: 9336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/16)\/((-3)\/4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2\/15 + 498488*v\/5 - 28414538\/15 = 0.\nAnswer: -747751, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 46. Let v = -26 - -46. Solve 0*s + y*s + 22 = -5*u, v = -3*u + 5*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1 - (3 + -3 - 2). Let b(z) = -9*z. Give b(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(88))\/sqrt(11) + (sqrt(2) - 1*sqrt(242)))**2 + sqrt(2) + (1*sqrt(98))**2 + 3*2*sqrt(2) + -3.\nAnswer: 7*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 604687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(147) - (sqrt(147) + -1)) + 4 + sqrt(147) + (sqrt(243) + 0 - (sqrt(36)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: 150*sqrt(3) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p**3 - 11*p**3 - p**4 + 10 - 6*p + 41*p**3 + p**2 - 10 to the form d*p**4 + g*p + f + z*p**2 + j*p**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/40 + c**5\/15 - c**4\/8 + c**3\/3 + 12*c**2. What is d(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1276059, -1276060, -1276063, -1276068, -1276075?\nAnswer: -1276084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 2*t**7\/735 - 3*t**6\/70 + 8*t**5\/35 - 10*t**4\/21 - 305*t**2. Solve h(d) = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 minus 36?\nAnswer: -35.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57907 divided by -5?\nAnswer: -57907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let u = 7 + g. What is the second derivative of -6*p**2 - p**3 - u*p + 6*p**2 - p**3 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-207)\/(-18) - 2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*-0.05\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00118121 rounded to six decimal places?\nAnswer: 0.001181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a. Let g(r) = 50*r**2. Give g(l(v)).\nAnswer: 200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11038 - -11140. What is the lowest common multiple of t and 153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*w + 7, 3*w + n = -0*w - 4. Let g = -18 + 19. Let f(z) = -12*z**2 + 4*z + 1. Let r(d) = -d**2 + d. Let k(m) = g*f(m) - 4*r(m). What is k(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 10) in base 13?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2. Let i(m) = 1560*m. What is a(i(k))?\nAnswer: -7300800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, -2\/7, -2, -1\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-6)\/(-10) - 654\/15. Let o = 47 + v. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 15 = -7*c. Let r be 18\/(-15)*(c\/(-6) + -2). Suppose 4*v = -r*o + 3, -o + 8 = v + 6. Sort 3, o, 1 in ascending order.\nAnswer: 1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2 + 2 - 3 - 1 + 5 - 1 - 2 + 0 + 0 + 2 + (2 - 1 - 2)*(2 + 3 - 3) - 2 + 2 - 1 - 1 - 4 + 6)*(8 - 5*k + 6 - 9).\nAnswer: 5*k - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-116994\nAnswer: -233988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 5*l - 5. Let f(d) = d**3 + 6*d**2 - 5*d - 2. Let y be f(-7). Let z = y - -20. Suppose -z*n = -24 - 0. What is q(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k**2 - k - 2. Let r(s) = 38*s**2 + 2*s + 6. Determine -2*r(h) - 5*y(h).\nAnswer: 19*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5\/2 (b) -2\/9 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/8 - 1\/4. Solve -1 = -2*m - 7, -t*m = z + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9333 (base 13) in base 5?\nAnswer: -1122242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-26)\/4))\/(10\/5*-1).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994 is divided by 250.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 15*p - 12 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1968345 divided by -1.\nAnswer: 1968345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g)*g\/(g*g**(-1\/6)))\/(g\/g**1)**(-14) assuming g is positive.\nAnswer: g**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let w(y) = 3*y**2 + 3*y - 13. Let q(z) = 5*a(z) - w(z). Let c be q(3). Is ((-220)\/6)\/((-4)\/c)*-1 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2 - 122*z - 756 = 0. Calculate z.\nAnswer: -54, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/467325 and 79\/40362.\nAnswer: 202819050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 - 2221672*t\/7 + 6665025\/7.\nAnswer: -(t - 3)*(t + 2221675)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -251848, -4, 12, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 6. Find the third derivative of -2*h**2 - 2*h**2 + 2*h - 2*h - h**w wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvzf when four letters picked without replacement from hvvvvzhvvvzvfhvvfzv?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let g(q) = 11*q - 112. Let v(n) = g(n) + 5*r(n). Let z be v(19). Solve 4*t - t = 2*f - 15, -5*t = z*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41172 take away -0.04?\nAnswer: -41171.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 37 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 9. Let k be s(-4). Let j(z) = 2*z**3 - 5*z**2 + z + 2. Let h(c) = 2*c**3 - 4*c**2 + c + 2. Calculate k*h(i) + 4*j(i).\nAnswer: -2*i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*p - 348*p - 208 = 0. Calculate the least common multiple of 276 and p.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15739 - 15753. Put -0.02, 1\/5, 13, o, -0.3 in increasing order.\nAnswer: o, -0.3, -0.02, 1\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -40, -53, -66, -79, -92?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqwwrrqwwrqrwwrw. What is prob of sequence qwrq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*a**3 + 193*a**3 + 221*a**3 + (3*a**2 - 3*a**2 + 2*a**2)*(-5 + 2*a + 5) + 0*a**2 + 0*a**2 - 2*a**3 as t*a**3 + d*a**2 + s*a + q and give t.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 10*z + 11. Calculate q(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 7. Let v be (b - 0) + 8 + 4. Solve 5*k = k - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38591293 to the nearest integer?\nAnswer: 6212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*n = 1608, 2*q + 1288 = 6*q + 2*n. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6606*d**3\/7 + 39632*d**2\/7 - 6288936*d\/7 + 544 = 0. What is d?\nAnswer: -34, 2\/3303, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 - 4*3\/4. Let j = o - -2. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 21 = 3*x, 1 + 2 = -k + 3*x. Suppose 0 = k*a - 27 + 3. Solve -a = -g + 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5805053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 9548?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -40720 (base 12) to base 11\nAnswer: -58102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 14 = 0. Suppose 0 = 12*j - a*j + 36. Let y be 26 - 0 - 4\/(-4). Calculate the highest common factor of j and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -24*c. Let r(g) = -2*g - 2. Let l(a) = -4*a - 5. Let s(q) = -2*l(q) + 5*r(q). What is s(o(b))?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m + 1. Let d = 2 + -4. Let n be b(d). Let y be 0 - (n*4 + 1). Solve y*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3656 and 41\/2742.\nAnswer: 10968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 3. Let d(c) = -1. Let f(m) = 5*d(m) - x(m). Let l(a) = -5*a**2 + 478*a + 183. Let u be l(96). Give f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 5*y**2 + 4*y + 1. Let o be q(-5). Let m = o - -25. Let u be (-27)\/(-7) + m + -10. What is the third smallest value in 3\/8, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6404 is divided by 3202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r - 3*r)*((2*r + 0*r - 6*r)*(-1 + 1 - r) + 0*r**2 + 3*r - r**2 - 30*r).\nAnswer: -15*r**3 + 135*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 83*l**4\/24 - 79*l**3\/2 - 95*l**2. Let m(q) = -168*q + 476. Let z(a) = 4*m(a) + 9*w(a). Differentiate z(s) with respect to s.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207\/5 - 41. What is the third biggest value in j, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-50)*(-40)\/72?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 9727 - 5484 = 0. Is 372 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -128, 4 in increasing order.\nAnswer: -128, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74374639 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 6*x**2 - 2*x - 2. Let o(n) = -110*n + 114. Let z be o(1). What is l(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206241\/5 - 41217. Is 1\/50 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*b**4 - 44*b**2 + 32377*b wrt b?\nAnswer: -564*b**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h + 167. Calculate v(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -183, -327, -357, -201, 213, 957?\n\"Answer: 12*b**3 - 15*b**2 - 183*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4665 is divided by 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21746536 divided by -10873268.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56302)\/4*(6 + -14 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.448663 years in millennia?\nAnswer: 0.008448663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/(((q\/q**(1\/7))\/q)\/q))\/(q**(1\/3)\/q*q)*(q**2)**(-15\/7))\/((q**(-4\/9))**(-11))**25 assuming q is positive.\nAnswer: q**(-7667\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15877825 to the nearest integer?\nAnswer: 3985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose -l*i + 399 = -435. Suppose 7*d = 5*d - i. What is d rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 63*p**2 + 159*p + 489. What are the prime factors of o(46)?\nAnswer: 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -42. What is the closest to -2\/7 in -6, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(((m**(-7)\/m)\/m)\/m))*m\/(m*m**(2\/5)))\/(m**(-1\/2)*m**(1\/7)) assuming m is positive.\nAnswer: m**(-773\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(1 - 1). Suppose -3*s + 9 = j, n*j = 2*s - 4*j - 6. Let z(t) = -t**3 + 5*t**2 - 2*t + 4. Let l be z(s). Which is greater: l or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 2*c - 3*c)*(-4 + 4 - 2*c)*(11 + 1 + 11).\nAnswer: -138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 27. Let n be (-22)\/b*6\/69. Let k = n - -2959\/644. Calculate the common denominator of 49\/4 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10532\/7 - -1504. Which is the nearest to -1\/4? (a) 0.3 (b) 1\/66 (c) -1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53876094 * -4.\nAnswer: 215504376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 - 18*w**4 - 80 + (-w**2 - w**2 + 4*w**2)*(-12 + 12 - 3*w**2) + (w**3 + 7 - 7)*(-1 + 1 + w) to c + k*w**2 + f*w**3 + n*w**4 + j*w and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -13.66. Let q = r + 12.66. Let m = q + -8. Which is the biggest value? (a) -2\/7 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Let j be d(-1). Suppose -j = 2*c + 3*c - 4*i, 12 = 4*i. Suppose 4*m + 10 - c = 0. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/26290 and -77\/530.\nAnswer: 1393370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyrkcjpcrcrcjpjccc. Give prob of sequence yj.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:59 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 648 + -374. Let q = -111 - -109. Let i be q + (-3)\/((-6)\/t). Calculate the highest common divisor of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from rrsrssrrssrsrrssssr.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 154 + 182 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**2*j**3*u - 189*d**2*j**3 + 12*d**2*j**2 - d*j**3*u + 8*d*j**2 - 2*d*j*u wrt j?\nAnswer: 18*d**2*u - 1134*d**2 - 6*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/151 in -2, 1\/6, -0.3, -11.52?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3054640, -12218596, -27491856, -48874420, -76366288, -109967460?\n\"Answer: -3054652*j**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(-8\/5)\/g)*g)\/((g\/g**(-3\/7))\/g)*(g*g**(-13)*g)\/g**(2\/99))**18 assuming g is positive.\nAnswer: g**(-40532\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1132726 - 11?\nAnswer: 1132715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1966, 7547, 16844, 29857, 46586, 67031?\n\"Answer: 1858*v**2 + 7*v + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1700 + -3406.1\nAnswer: -5106.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/23, 2, -3\/7, 0.04, -1\/4, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/2 + (584 - 559) + 133\/(-33)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o. Let x be ((-8)\/3)\/4*6. Let f = 8 + -5. Let q = f + x. Give z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 23 = 9. Let u(j) = -1477*j**3 + 4*j + 5*j**2 - 2*j**f - 2 + 1482*j**3. Let y(t) = 9*t**3 + 5*t**2 + 7*t - 4. Determine -7*u(b) + 4*y(b).\nAnswer: b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2)*(-27)\/(-54). Suppose 2*c = q + 128 - 2, 5*q = s. What is the highest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377878020 to the nearest integer?\nAnswer: 19439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2664495 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 7*z**2 + 109*z + 520. Determine y(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/8 - 6\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078 divided by 2?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 29, 5, 435.\nAnswer: -3, 5, 29, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11127 or -11126?\nAnswer: -11126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 11*n**2 + 14*n + 31. Let m be b(9). Calculate the common denominator of 13\/31 and ((-4)\/(-6))\/(4250\/840 + m).\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 9 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64991029.\nAnswer: 64991029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98333298.\nAnswer: 2, 3, 7, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.5 - 11.17871?\nAnswer: -94.67871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Suppose 6 = c*w + w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w - 16. Let q(c) = c**2 - 5*c + 12. Calculate the remainder when j(11) is divided by q(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 9 = 0. Suppose u*j + 232 = -338. Let p = j - -5128\/27. Do p and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/1*39\/(-6). Suppose 0 = 2*b + 2*w + 2, 2*b = w - 0*w + l. Suppose -12 = b*i, -g + 4*g - 873 = -2*i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -377781*b - 2. Let k(f) = f. Let i(v) = c(v) + 3*k(v). Suppose n + 31 = -4*u, -u + 1 = 2*n - 0. Let h be i(u). Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - 3 - (4 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -145, -181, -217, -253, -289?\n\"Answer: -36*y - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three halves of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5*f - 4*f)*(-5 - 6 - 2).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011 - -101101101001?\nAnswer: 101010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*m + 100 = 15, -q + 3*m + 10 = 0. Suppose 5*y + 3*i = q, -y - i + 3 + 2 = 0. What are the prime factors of y\/(-3) + 5 + 59\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 66, -0.5, -21, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 419175?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 237 - 82 - 80751*k**3 - 232*k + 305 + 80752*k**3 - 229*k**2 = 0.\nAnswer: -2, 1, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/(-168) + (-22)\/77)*3. Put -0.2, 25, w in descending order.\nAnswer: 25, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 171, 265, 511, 981, 1747, 2881?\n\"Answer: 12*m**3 + 4*m**2 - 2*m + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 25. Let p be z(5). Suppose p*m - 26 = 9. Calculate the remainder when 20 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*d*g**3 - 19*d*g**2 - 37*d + 4 wrt g?\nAnswer: 63*d*g**2 - 38*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 9749?\nAnswer: -9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-6)\/(-84)*(-10)\/(-25)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 108432789*u. Let g(d) = -8*d. Determine g(y(r)).\nAnswer: -867462312*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26830 by 1.\nAnswer: -26830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96641859 and 3.\nAnswer: 96641859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 13. Let p(y) be the first derivative of -y**2\/2 + 6*y + 51. Calculate 3*b(z) - 7*p(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/53 (b) -4 (c) 1 (d) 1\/1078 (e) -1\/2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/1735? (a) 4\/3 (b) 50 (c) 3\/8 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from {t: 4, n: 2, b: 8, i: 2}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a35aa888 + 0?\nAnswer: -a35aa888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 0*z + 0*z. Let b(s) = 178*s**2 - 40. Let t(n) = -9*n**2 + 2. Let r(p) = -3*b(p) - 60*t(p). What is y(r(g))?\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 a, and 1 v when four letters picked without replacement from smsosasav?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -2*r. Let v(g) = 6*g + 4. Calculate the smallest common multiple of r and v(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-165)\/(-22))\/15 - (-2079)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30024200, 60048403, 90072606, 120096809, 150121012, 180145215?\nAnswer: 210169418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3638 + 7507 = 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -290080*x. Let h(k) = 2*k**2. Calculate h(g(q)).\nAnswer: 168292812800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6 = -j, i + 8 = 2*j + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 2*v + 2. Let q be d(-2). Suppose 3*s + 7 = -2*x, -4*x - 1 = -5*s - 20. Let j be x\/(-5) - 22\/q. Which is smaller: j or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1816272.6 months?\nAnswer: 1513.5605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1876510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3492 and 92538?\nAnswer: 185076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 16 - 52 + 19 - 132986*m.\nAnswer: -132986*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/4 + 43*d**4\/2 + 365*d**3 - 12750*d**2 + 72000*d = 0.\nAnswer: -30, 0, 10, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 232\/55823?\nAnswer: 232\/55823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168243 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/3 - 2*i**2 - 5*i + 1. Suppose 6 = w + 1. Let d be b(w). Let p(g) = -g**2. Give p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - r - 1. Suppose b + 19 = -5*h - 3, 5*b - 35 = 4*h. Let s be (-1)\/(-3) - 4\/b. Give v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 291*z**2 + 70*z**2 - 33*z**2.\nAnswer: 325*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419912049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x - 7 = 0. Suppose 98*m - 184 = 52*m. Suppose 5*o = -5*z - 0*o + 30, m = 2*o. Is z less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1634 - 1538. Calculate the highest common divisor of 21 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100022210112020 - 100?\nAnswer: -100022210112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-441)\/(-28))\/(-7) + 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 202*q**2 + 3*q + 3. Let t be b(-2). Is 805 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*x - 2*x**2 - 489*x - 78*x.\nAnswer: -2*x**2 - 650*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841765827?\nAnswer: 3, 7, 89, 450383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17876, 71101, 159812, 284009, 443692?\nAnswer: 638861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24427.\nAnswer: 2\/24427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-8) + (0 - 66\/15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*t + 118, d + 5*t - 20 - 47 = 0. Let p = 71 - d. Solve 4*b = 2*m + 16, -3*m = -b - 0*b + p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -0.1 (c) -4 (d) 21.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -45?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 369*h + 6754 - 36643. Solve 0 = 123*y - h*y + 168 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*s - 735 = 452*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 14*t + 6441 - 5999 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1371, 11052, 37329, 88500, 172863?\nAnswer: 298716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + 925\/3. Let s = 32214 - 32186. What is the highest common divisor of s and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-5*sqrt(3)*-1) + (sqrt(99) + 3*2*sqrt(99))\/sqrt(9).\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*12\/27)\/(12\/(-90) - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2944 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 18360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/(-15) - 5490012\/(-995) is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/7 + 12690\/945. Solve 0 = r - 4, -s - h*r = -18*r + 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 y when three letters picked without replacement from {y: 7, q: 10, x: 1, h: 1}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -19596465.\nAnswer: -1\/6532155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + k + 3*k + 10 - k. Let s(w) = 2. Let o(j) = -i(j) + 5*s(j). Let c(d) = 12*d**2. What is o(c(v))?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5340 and 11830680.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93878612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = 3*u. Suppose u + 29 = i. What is the remainder when 158 is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.224 - -18.384. Which is the third smallest value? (a) h (b) 0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-30)*221\/(-13)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300) + sqrt(3300)*-2)\/(6*sqrt(27)).\nAnswer: -5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/460 - (17*(-30)\/(-12750))\/((-6)\/15)?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63050*t**4 - 221297*t wrt t.\nAnswer: -756600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 186, 359, 532?\n\"Answer: 173*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(57\/(-57)*(2\/1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21197063 is divided by 8698.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*j + 82. Let r be (-2)\/(-6) - (-50)\/j. Let s = -6\/19 + r. Is s greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 - 5*d**2 - 46*d - 71. Determine c(-4).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i - 25*i - 4*i + 42*i in the form v + l*i and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 30*i + 15*i - 2.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + ((1 + sqrt(162))*6 - sqrt(162)) + sqrt(162) - (sqrt(162) - (-3 + sqrt(162))*-3))**2 + -4 + -2.\nAnswer: 810*sqrt(2) + 1677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14018441 + -42.\nAnswer: -14018483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z. Let a(j) = j**2 - j - 1. Let k(y) = -9*y**2 + 7*y + 7. Let p(h) = 21*a(h) + 3*k(h). Give t(p(q)).\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 185? (a) 1\/9 (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/1332726 and -5\/9?\nAnswer: 3998178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4 = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431 - -10424?\nAnswer: 11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**2 + 38*q + 1. Let o = 238 - 233. Let t be u(o). Which is the biggest value? (a) 2 (b) t (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, e: 3, c: 8, u: 1, l: 3}. Give prob of picking 1 c, 1 r, and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -6\/301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(96)*2 + sqrt(96)) + sqrt(96))\/((sqrt(8) + sqrt(8)*-1 + sqrt(8))*-4))\/(sqrt(256)*3 - 2*sqrt(64)).\nAnswer: 7*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/4, -1, 12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 89, 26, -177 in decreasing order.\nAnswer: 89, 26, 4, -1, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2. Let u(b) = -3*b. Calculate u(n(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 - (-3 + 2 - (-1 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose 4*t = 2*t - 10, t = f*a - 65. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -365, -423, -515, -647, -825, -1055, -1343?\nAnswer: -1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 1823 + 2641 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 290.163.\nAnswer: -58.0326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 24. Let m be x(-19). Put m, -3, -2, -1 in decreasing order.\nAnswer: m, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302 + 469. Suppose 35 = v*y - 174*y. Let p be 1\/(-3*3\/(-45)). Sort 2, y, 18, p.\nAnswer: y, 2, p, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -93, -33, 4\/5, -3\/8 in decreasing order.\nAnswer: 4\/5, -3\/8, -5, -33, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Suppose -5*u + 5 = 30. Put 3, a, u in decreasing order.\nAnswer: 3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (8 - -2) + (-6 - 1) + -7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 37705826*y\/7 + 75411660\/7.\nAnswer: -2*(y - 18852915)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3649529 is divided by 1216204?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94815.8*0.1.\nAnswer: -9481.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1055198243 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 101, 248, 471, 776, 1169, 1656?\n\"Answer: i**3 + 29*i**2 - 17*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-3 - -11) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35874 is divided by 1329?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 2*c**2 + c + 7. Let d be z(3). Let o = d - -112. Which is smaller: 112 or o?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.14 + -0.14. Which is the second biggest value? (a) x (b) 0.1 (c) 9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(300)\/sqrt(5) - sqrt(60))\/(sqrt(36)\/sqrt(3)*-5).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 17. Let o be 14\/56 - f\/8. Suppose -106 = -2*l - 3*i, 4*l - 54 = -o*i + 146. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3235224 rounded to 3 decimal places?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000273991776 rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -105. Is (z\/8)\/((-7)\/13972) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0*l + 6*l**2 - 5*l**2 + 9*l + 10 + 11. What is the tens digit of p(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-11 - (5 - 9)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:57 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92383469 to the power of 1\/2, to the nearest integer?\nAnswer: 9612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s - 1. Let f(i) = -2*i**3 - 2*i**2 - 21*i - 3. What is 3*d(h) - f(h)?\nAnswer: 2*h**3 - h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 70*g - 1122. Let c be o(45). What is the greatest common divisor of 81 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2 + 120*x + 3239 = 0.\nAnswer: -79, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001111110 - 1000011?\nAnswer: -101011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}