diff --git "a/data/dm_maths/full_data_1/2266_11255.jsonl" "b/data/dm_maths/full_data_1/2266_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2266_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of -145\/42 and ((-61256)\/(-2880))\/31 - 4\/(-18).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446166261 a multiple of 2506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -99 (b) -1\/6 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.49 - -3.49. Let r = 23 - 67\/3. Let l = -0.4 - 4.6. Which is the smallest value? (a) l (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/2 - 1) + (-35)\/490*-98.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172 - 166. Suppose -w = -n*w + 1025. What is the remainder when w is divided by (1 + -3 - 0) + 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 - 2*i**2 + 2*i - 1. Suppose -2*y - 3*o = -5 - 3, -y = -4*o - 4. Let q = y - 3. Give x(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhu. What is prob of sequence hh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)\/(-18)*-3. Let h = 4.9 + -0.9. Let u = h - 5. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 106 + 38. Let j = v - 33. Solve -4*k + 18 = -4*b + 5*b, -j*b = 3*k - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -322\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 - -0.8. Let f be (-1080)\/40 - -13 - (-24 - (-16)\/4). What is the closest to f in -4, 3, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 6324.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13574 divided by -20905.\nAnswer: -13574\/20905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2427138 less than -5?\nAnswer: -4.7572862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*r - 3*q, 2*r + 2*q + 2*q - 14 = 0. Solve -r = -6*u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-7) - 0) + 781\/77. What is the tens digit of (-846)\/(-15)*25\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + 2*l**3 - 2*l - 6 + l - 3*l**3. Let i = -17 - -12. Is j(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3198 - 3078. Solve 118*p - 12 = l*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y + 87*y**2 - 34*y**2 - 78*y**2)*(-4*y + 3*y - y)*(y + 3*y - 2*y).\nAnswer: 100*y**4 + 44*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 35*u + 74 - 74. Let h(n) = -13*n**2. Determine h(c(a)).\nAnswer: -15925*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303 and 2121?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22040536, 44081074, 66121612?\nAnswer: 88162150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 36*b**2 - 3*b + 2. Let u be x(2). Suppose 4*f - u = -f. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 144 = -0*h. Suppose -h = -5*n + n. Suppose -j + n = 3*j. Solve -j*t = -2*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(71 + (-23 + -1)\/(-6)). Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16633645 (base 7) to base 15\nAnswer: 2258ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m - 2*f, 3*f - 1 + 14 = -m. Let z be ((-3)\/6)\/(2\/(-16)). Suppose 4*o - z - 4 = 0. Which is greater: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 3*p + 36 = 24*w, 51 = -4*w + 5*p for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -534708 divided by 3?\nAnswer: -178236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -15. Let t = -542 - -531. Let w = d + t. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (853\/2)\/((-2)\/40). Let z = h + 102265\/12. Find the common denominator of -47\/10 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/126 and 29\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6*z**2 - 4 + 11*z**2)*(-1 - 2 + 2)*(-1 - 3 + 2)*(-11*z**2 + 26 - 26) as c*z + d*z**2 + l*z**3 + n*z**4 + m and give n.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 17. Let w be o(13). Let u = 7 + w. Suppose -u*s = -2*s - 15. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. Suppose 3*i = 2*q - 13, 0*q + 20 = w*q + 5*i. Which is the smallest value? (a) q (b) -0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 34 = 3*p - 2*b, -5*p - 85 = 5*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h - 124 = 35*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7162.8 + 7163. What is the closest to -2\/3 in x, 0, 5\/3, 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9076\/30)\/(720\/(-100)). Let q = s + 68\/27. Calculate the common denominator of -7\/22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -31 + 59 + 24 + 4*g. Let s be q(-12). Sort -4, -3, -1, s in descending order.\nAnswer: s, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 107. What is the remainder when 244 is divided by a*((1 - 8) + 8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 7*i = 3*i - 1, 0 = r - 78*i + 79*i - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1045 (base 6) to base 2.\nAnswer: 11110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(1\/2))*w)\/w*w)**(2\/135)*(w*w*w**2\/w)**15 assuming w is positive.\nAnswer: w**(2026\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 729 = -12*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6474*t**2 - 66*t**2 - 405*t**2 - t + 3*t + 727*t**2 to the form q*t + x + o*t**2 and give o.\nAnswer: 6730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 310570 or 310407?\nAnswer: 310570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1477 + v**4 + v - 740 + 0*v**4 - 727 + 18*v**2 + v - v**3 to the form h*v**4 + j*v**2 + s + o*v + k*v**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*q + 108 = 56*q + 53*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*n**2 - 3985*n**2 - 2098*n**2 - 89*n**2 to the form k*n + h + i*n**2 and give i.\nAnswer: -6285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzffvfgfgvfzyzfvvv. Give prob of picking 1 z and 1 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*b - 503 + 250 + 255.\nAnswer: -166*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533324 divided by -6.\nAnswer: 266662\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 17, r: 3}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 7:55 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*z*z**(-3\/4)*z)**(-1\/10)\/((z*z**(-1\/4)*z*z*z*z*z**(-3\/2)\/z*z)\/((z\/z**(-1\/4))\/(z*z\/(z*z\/z**(-4\/5)*z)))) assuming z is positive.\nAnswer: z**(-25\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/55*(1890\/84 - (-2 + 12))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - 2188*k**2 + 2188*k**2.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8cb - -4?\nAnswer: -8c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.71. Let t = 4.89 + p. Which is the closest to 1? (a) -0.3 (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -66. Let z(l) be the second derivative of 7*l**5\/20 + l**4\/12 - l**3\/6 + l**2\/2 + 2*l. Let m be z(h). Let x(u) = u**2 - 9*u + 5. Give x(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 486 - 570. Let q(p) = p - 32. Give q(f).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, 309\/97, 4, -3\/7, 0.5 in decreasing order.\nAnswer: 4, 309\/97, 1, 0.5, -1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 78, 111, 134, 141, 126, 83?\n\"Answer: -d**3 + d**2 + 37*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*y - 3*s, -3*y + 3*s + 5 + 1 = 0. What is the lowest common multiple of 2 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*(-6)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 181364 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1329 + -1317. Solve -11*c - z = -14*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*b**2 + 177*b**2 - 1851*b + 2*b**3 + 2 - 128*b**2 - 2.\nAnswer: 2*b**3 - 1851*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = 88*s - 583. Solve -156*f = -154*f + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/22 and -47\/330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**4\/24 + 13*p**2 - 7. Let s(v) = 639*v**2 + 7*v - 2. What is t(s(z))?\nAnswer: 639*z**2 + 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a. Let r be j(1). Let p be ((-3)\/(-6))\/(1\/4). Suppose 2*l - p = h - 2*l, 4*l - 12 = -4*h. Solve 4*z = z + 3*u - r, 0 = h*z - u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bebb when four letters picked without replacement from bbeehbb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from mttmuutt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.237 * -3.8024.\nAnswer: 38.9251688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let n be u(-1). Solve 5*t - 13 = -s - n*t, 5*t - 10 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2169, 2359, 2549, 2739?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 31*s**2 - 9*s**2 - 21*s**2. Let f(v) = -v**2 - 180*v. Calculate m(f(o)).\nAnswer: o**4 + 360*o**3 + 32400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 divided by -11?\nAnswer: -581\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42223 + 53?\nAnswer: 42320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*l**3 + 8*l - 11*l - 24*l**3 + 6*l**3 + 2*l**3 as g*l + f*l**3 + m + c*l**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 362131620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*s = -152*s - 102 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18b7 (base 14) to base 11.\nAnswer: -33a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14299, 27843, 41399, 54973, 68571, 82199, 95863, 109569?\nAnswer: 123323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 884 - 884. Suppose -18 = 2*v + 4*v. Let o(m) = -m**2 - 2*m - 2. Let y be o(v). Sort 1\/7, y, u, 1\/3 in decreasing order.\nAnswer: 1\/3, 1\/7, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -5 (b) -0.1213 (c) -0.62 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15528131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 206*u + 5430. Give w(-27).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {z: 8, v: 1, g: 4, s: 1, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(264)\/(sqrt(12)*-2))\/sqrt(2) + ((sqrt(1584) + -1)**2 - sqrt(1584) - -3*sqrt(11)*2))*2.\nAnswer: -244*sqrt(11) + 12680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**7\/280 + v**6\/180 + 2*v**3\/3 - 4*v. Let l(q) be the second derivative of k(q). Find the third derivative of l(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29094 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 3*f - 19, -1 = 5*b - 7*f + 10*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.603183 and 11.24?\nAnswer: 11.843183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*u + 7 = 0, -5*n + 4 = -4*n + u. Let x(y) = 4*y + 5*y**3 - 8*y**3 - 3*y**2 + n - 5*y**3. Let m be x(3). What is m rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 18, 3, -30, -87, -174?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*11\/6*-3. Let o = w + -12. Let r = 16 - o. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/2 (b) 0.5 (c) 4 (d) -0.32 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x*y**2 + 5*x*y - 12*x + 188*y**2 + 2*y + 9 wrt y.\nAnswer: -2*x + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 3:13 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4481065779 to the nearest integer?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 - 10*r**3 + 11*r**2 = 0. What is r?\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 23454690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -43. Let f = -0.2 + -0.3. Let y = -4.4 - -4.8. What is the nearest to y in f, 3\/2, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 3*h - 27, 5 = -h. Let q = t + 14. Suppose -q = -u + 16. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 3, u: 1, s: 2, r: 9, m: 2}. What is prob of picking 2 s?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 1 + 4. Let h be 1\/(-1) - g\/(-1). Sort -1\/2, 3, h in descending order.\nAnswer: 3, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 433*v - 23314. What is r(-63)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l, 2*g = -2*g - 2*l + 74. Calculate the highest common divisor of g and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/36 and (-287041)\/(-72980) + -1*4.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -15, 0.32, 2\/13, 39, 6, -2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 251 = 5*v - 811, -3*u + 3*v + 840 = 0. List the prime factors of 0\/(-1) + -3 - u\/(-2).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 22. Let m = -3 - u. Let r = m + -9. What is the third smallest value in r, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -386904, -1\/11, 1\/6, 1, -1\/4 in decreasing order.\nAnswer: 1, 1\/6, -1\/11, -1\/4, -386904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - a**2 + a. Let p(r) = -r**2 - 7*r + 4. Let k be p(-7). Let v = k + -4. Let f be z(v). Which is smaller: f or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. What is the common denominator of -23\/20 and 305\/y*6\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(((t\/(t**7*t))\/t)\/t)*t))\/t)**30*(t*t**(5\/8)*t*t)\/(t\/t**(-1\/3)) assuming t is positive.\nAnswer: t**(-8585\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99, 294, 589, 984, 1479, 2074?\n\"Answer: 50*t**2 + 45*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (sqrt(242) - (sqrt(242) - 2*-1*sqrt(242))) + sqrt(242) - (sqrt(242) + -5*(sqrt(242) + -1)))**2 + -5.\nAnswer: -440*sqrt(2) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + j)*(7 - 62 - 21) + (-3*j + 2 - 1 - 2)*(-3 - 3 + 7)*(1 + 0 + 1) in the form c*j + h and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -34\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*a + 4*a, -4*a + 42 = 5*g. What is the lowest common multiple of 8\/(4\/2 + 0) and g\/24 + (207\/(-12))\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 6*i - 4. Let j be t(-4). Suppose -2*o + 126 = j. Suppose o = 7*a - 16. Solve -s = a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 74.15\nAnswer: -222.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13862843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -2\/5, -39.8, 3\/5, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3716 is divided by 1207.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d**2)*(-11*d**3 - 38*d**3 - 20*d**3 + (0*d + 3*d - d)*(-d**2 + 5*d**2 - 5*d**2) - d**3 + 0*d**3 + 2*d**3) + d**5 - 2 + 2.\nAnswer: 71*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 4*i + 1. Let w be 1*(-4)\/(-2) - 0. What is the remainder when 2 - (-35 + w + 2) is divided by d(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let m be 0 + (g - 3) - -16. Let v = m + -10. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -96755\nAnswer: -290265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azyyyycppcyzcpyz. Give prob of picking 2 c.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*1*18\/(-1). What is the second biggest value in 3, 4, 6\/5, j, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 59. Let g = 42 + y. What is the remainder when 47 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/1196286 or 0?\nAnswer: -5\/1196286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1496.003595 - -1496. What is m rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:42 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 0, 91 in increasing order.\nAnswer: -9, 0, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2810 and -0.3.\nAnswer: 2809.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2286529 less than -5?\nAnswer: -5.2286529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -84058.6 to the nearest one thousand.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -228*s + 2506 + 3650 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-20))\/(-9) - (-324)\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473*p = -408*p + 17040 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.546069 litres in millilitres?\nAnswer: 3546.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49840\/3738*33\/20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from xxmxymbxbxxx?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -7217451.\nAnswer: -7217450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 - 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23\/((-69)\/20)*-20100. Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39373096 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2132557 - -1113800. Let x = n - -2042769. Suppose -715988 = -6*c + x. What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*f - 894, -5*f + 45*l + 1470 = 40*l. Calculate the smallest common multiple of f and 231.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41548*r + 283*r**3 - 41548*r.\nAnswer: 283*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 60. Suppose 2*u - p = -1090, -6*u - 2176 = -f*u - 4*p. What is the tens digit of -1 - (-10)\/2 - u\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.404 * 7\nAnswer: 2.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 94225292388 - 94225292388.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from ybyne.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(270\/(-12)))\/(2\/5793) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsft when four letters picked without replacement from sftttssf?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 8*f + 1133 = 3*j, 3*j - 1137 = -3*f. Calculate the remainder when j is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 5*h - 372. Give k(-18).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.859 + 8.85894056. What is g rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1363 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 454275.3 decades?\nAnswer: 45427.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 25*a**2 - 19*a**2 - 5*a**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by (-1*2\/6 + (-100)\/6)*-3.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6467237758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836372, -1673011, -2509650, -3346289, -4182928, -5019567?\nAnswer: -5856206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -7*w**5\/20 + w**4\/12 + 17*w. Suppose 9*q - 8*q - 2 = 0. Let l(d) = 8*d**3 - d**2. What is q*l(f) + 3*c(f)?\nAnswer: -5*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 181261679 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 211.36 and 9423511.\nAnswer: 9423722.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -257, -926, -2403, -5000, -9029, -14802, -22631?\nAnswer: -32828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*s + 162 = -88*s + 2*u, 2*s - s + 21*u + 162 = 3*s for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15147.16 and 41246945.\nAnswer: 41262092.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4284 and 8566929.\nAnswer: 34267716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5387075 or -5387080?\nAnswer: -5387075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/10 - (-2)\/10. Let a(x) = -2*x**2 - x + 2. Determine a(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-758352)\/8820 + 37 + 49.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2748 (base 9) to base 6.\nAnswer: -13325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130046.19 rounded to the nearest one hundred?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10554 divided by -270\nAnswer: -1759\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9188490 is divided by 10734.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/995 + -1939\/16915. Sort 2\/49, 4, p in descending order.\nAnswer: 4, 2\/49, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 604*l - 26011. What is p(52)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13250 = t - 5824, 57233 = 3*t - 2*b. Suppose 0 = 3*k - 3*h - t, 23519 = 4*k + 2*h - 1917. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11739 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -188, -281, -374?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/9)\/(5\/(-480)). Calculate the highest common divisor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - 3*y)*(1 + 0 + 0) - y + 4*y - y + y + 3 - 3 + (-113 - 1 - 9)*(2*y + 3*y - 4*y)*(2 + 0 + 3).\nAnswer: -613*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13552771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -12 + 12. Let w be h\/(1\/(-2) + 33\/(-22)). Suppose -8 = -2*c, 4*j - 2*c + w*c - 5588 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 14*i - 14. Let d(z) = -4*z. Give m(d(a)).\nAnswer: -32*a**2 + 56*a - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1427*g + 1439*g - 2889*g.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -200 in increasing order.\nAnswer: -200, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-252)\/(-756)*((-3)\/5)\/((-8)\/60). Factor 246*y + w*y**2 + 10086.\nAnswer: 3*(y + 82)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51187 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 -1 times 0.55?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a. Let x(s) be the first derivative of s**2\/2 - 7. Calculate x(t(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 i when three letters picked without replacement from {x: 1, l: 2, i: 3, g: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 6. Let q be v(-5). Solve -4*f = 16, -6*k + q*k + 22 = -3*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j**2. Let x = 109 - 104. Let c(b) = -4*b**2 + 0 - b**3 - 2 + 5*b**2 + x*b**3. Give -c(q) - o(q).\nAnswer: -3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e51ecc - 1?\nAnswer: 6e51ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.9 or 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {x: 2, w: 3, j: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.03 (b) 0.4 (c) 4 (d) 1\/10 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*(438\/84 + -5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 42 = -w. Let a(p) = 4*p**2 - 6*p - 5. What is the hundreds digit of a(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(384))\/sqrt(8))**2 + -2)*2.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16*f)\/(f\/(f\/(f*(f*(f*f*f**(-21\/5))\/f*f*f*f)\/f)))*f**(-19)*f\/f**(2\/67) assuming f is positive.\nAnswer: f**(-613\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbibbibbbbbbbbbbib. What is prob of picking 3 i?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**8\/1344 - d**7\/140 - d**6\/40 - d**5\/24 - d**4\/32 - 2*d**2 + 89. Factor h(s).\nAnswer: -s*(s + 1)**3*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y + 1. Let g(x) = x**2 - 66*x - 1. Determine -g(u) - 3*r(u).\nAnswer: -u**2 + 27*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjqiqdjiihdqcqqdi. Give prob of sequence ih.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:16 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - a**4 + 2 - 2*a**3 - 690*a + 4 - 5*a**2 + 687*a to the form x*a**2 + t*a**3 + r + n*a + g*a**4 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 2*f + 16, 0*v = -v - 3*f - 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*k + 16*k - 10*k)*(-2 - 2 + 5) + (-k + 2*k + k)*(0 - 4 + 3) - 4*k + 4*k + 4*k + 2*k - k - 2*k - 3 + 2*k + 3 as p*k + o and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 + -104.9. What is the nearest to n in -3\/4, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 + 8*q**2 - 9*q - 5. Let w(g) = 4*g**3 - 9*g**2 + 10*g + 6. Let d(t) = -5*m(t) - 4*w(t). Determine d(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(-16))\/(2\/(-32)) - -9081?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50791?\nAnswer: 13, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 330, 0, 1780 in increasing order.\nAnswer: 0, 330, 1780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.86762 centimeters to meters.\nAnswer: 0.9786762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*y + 36, -4*y - 54 + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3 + (-5 + 0 + 3)*(-4 + 0 + 5) - 1 - 3 + 2)*(4*v**3 + 4 - 2*v**3 + 3).\nAnswer: -4*v**3 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence houh when four letters picked without replacement from {o: 1, x: 2, h: 4, y: 2, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 4*w - 4*w)*(-12 - 7 - 5)*(-5*w + 2*w + 2*w) in the form o*w**2 + d + h*w and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = u + 15, 34*y - 11 = 5*u + 33*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 11. Suppose -m = -5*i - 0. Suppose 112 = i*l + 7. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let g(c) be the first derivative of 0*c**t + 0*c**3 + 2\/5*c**5 + 0*c + 1 + c**2. Find the second derivative of g(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 195242*f\/5 - 195241\/5.\nAnswer: -(f + 1)*(f + 195241)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 c, and 1 m when four letters picked without replacement from {m: 2, l: 9, h: 5, c: 3}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 18*g + 7599 = 4*w, 0 = -5*w - 2*g + 9489. List the prime factors of w.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*s - 4, 0*s - 4*k = -2*s + 22. Suppose q = s*q. Let n = 8 + -5. Solve q*a + 5*a + 10 = j, -4*a + 3 = -n*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 13*a**2 + 84*a + 19. Is c(-34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000605314488 rounded to 6 decimal places?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 11960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/18)\/((-3)\/(-6)). Put 1\/2, -5, 2, j in ascending order.\nAnswer: -5, j, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -1, -11, -27, -49?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1 - 2*o + o**2 + o + 2*o. Does 5 divide w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(12\/5)*d*d\/(d*d**(5\/14)\/d) assuming d is positive.\nAnswer: d**(283\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**3 - 4*n - 33. Let y(t) = -8*t**3 + 3*t + 32. Let w(p) = -5*v(p) - 6*y(p). Find the first derivative of w(l) wrt l.\nAnswer: 9*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -214.\nAnswer: -64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 2*y**2 + 0*y**2)*(-y**2 - 2 + 2 + y**2 - y + y + (0 - 4 + 2)*(0*y**2 - 3*y**2 + y**2)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -23*c**9\/252 - 17*c**5\/15 - c**2 + 25*c. What is the third derivative of h(i) wrt i?\nAnswer: -5520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -59526*v**2 - 297632*v - 8. Give c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 3*c + 9. What is the least common multiple of 9 and u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xywy when four letters picked without replacement from wwwqqxwywwywwxxxwwww.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -196*l + 1815. What is the remainder when 247 is divided by i(9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2\/9 - 728*y\/3 - 4384\/9 = 0.\nAnswer: -2, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 1. Let w(h) = -4*h**2 + 13*h - 21. Let d(o) = -w(o) - 5*x(o). Suppose -3*q - 5*g + 3*g - 23 = 0, 0 = 5*q - 2*g + 65. Does 19 divide d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -133.13 and -0.3.\nAnswer: -133.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -8, -3*j = 5*k - 16. Suppose -2*y - j*y + 44 = 4*z, -3*z = 2*y - 31. Calculate the remainder when 24 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 - 1810*m**3 - 69*m**2 wrt m?\nAnswer: -48*m - 10860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3416*t**5 - 26*t**4 + 5*t**2 - 25*t - 795 wrt t.\nAnswer: -204960*t**2 - 624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*x - 16, 0*x - x = -2. Suppose 0 = h + d - 10. Let f = 0.16 - -2.84. Which is the second smallest value? (a) h (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -702044*m + 176689.\nAnswer: -702044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -1\/4, 8, 1349, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1007200.3 and 5.\nAnswer: -1007195.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*(107610\/16524)\/(-211).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x - 1\/2*x**4 + 1\/70*x**7 + 0*x**3 + 11*x**2 + 3\/40*x**6 - 1 + 0*x**5. Factor h(i).\nAnswer: 3*i*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32062 or 32070?\nAnswer: 32070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 2*s**2 - s - 1. Let p be v(-2). Suppose u + 3 = -p. What is the units digit of ((-8)\/10)\/(u\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -18*f - 8. Which is the closest to f? (a) 0.2 (b) 4\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 25 = 3*a + 3*q, -4*q - 20 = -5*a. Let p be ((-25)\/(-55))\/(2\/(-1158)). Let i = -263 - p. Is a > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 522. Suppose 0 = 62*h - 63*h. What is the tens digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023 (base 4) to base 15.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(5 + (sqrt(1700) + (-5*(sqrt(1700) + -1) - sqrt(1700)) - sqrt(1700)) + -6*sqrt(1700)*1*-1)**2.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) -62\/53 (c) -2 (d) 0.1 (e) -4\/5 (f) -16 (g) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -622*i**3*y**3 + i**3*y**2 + 549*i**3*y - 97*i**2*y + 6511*i*y**3 - i*y**2 wrt i?\nAnswer: -3732*y**3 + 6*y**2 + 3294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.3. Let s be 4\/(20\/(-221)) + 2. Let f = 42 + s. Which is the second biggest value? (a) f (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 1. Let h be y(1). Does 4 divide (-6)\/h - (0 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 92248*o\/7 - 92234.\nAnswer: -2*(o - 46117)*(o - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/90*2907\/228?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 5*b**2 - 4*b. What is the lowest common multiple of s(6) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455711917?\nAnswer: 11, 12030677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t - 0*t. Suppose 1057 = 4*i - 3*n, 4*i = t*i - 3*n + 268. Suppose -2*p = 3*p - i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(2*y - 3*y - y)*(6*y**2 - 55*y + 55*y)*(-361*y + 258 - 258).\nAnswer: -8664*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8901996 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 8, 3*n + 54 = -3*s. Let w be (n\/(-8))\/((-10)\/40). Let y(l) = -2*l - 10. What is y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03527416 rounded to 5 dps?\nAnswer: 0.03527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 3.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 6*m - 8 + 3*m - 3*m**2. Let z be q(7). What are the prime factors of (z\/(-2))\/(6\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eavavqvvc. Give prob of sequence qca.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3233616 divided by -464?\nAnswer: 6969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*1*-4 + sqrt(121))\/sqrt(11)*-6.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 + 108*f**2 - 11664 = 0.\nAnswer: -9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**3 + 676*q**2 - 27748*q - 28420 = 0.\nAnswer: -203, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 15. Let s = 53 + -71. Let l be (-63)\/6*(s\/7 - -2). Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178 by 337.\nAnswer: -178\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 200474, 200471, 200466, 200459, 200450, 200439?\n\"Answer: -p**2 + 200475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 12*w**2 - 3*w - 8. List the prime factors of y(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3843792 and -5.\nAnswer: 19218960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 4, y: 7}. Give prob of sequence ry.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54557*l**6 - 4029*l**4*w - 6427*l**2*w + 249*l**2 + 24*w wrt l.\nAnswer: 6546840*l**3 - 96696*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-14661)\/(-351) + -26\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -281814e + -b?\nAnswer: -281815a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/463 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 53865051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 630\/150 + 1\/(-5). Solve 0 = k + 4, y*k + 15 = 5*i - 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 50908991.8482.\nAnswer: 50908991.7482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18921 or 18935?\nAnswer: 18921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -93.99993808. What is l rounded to 6 dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42106 or 42100?\nAnswer: 42106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.005 - 0.395. Let v(s) = s**3 + 19*s**2 + 2*s + 33. Let y be v(-19). Which is the second biggest value? (a) p (b) 12 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18.27 (b) 1\/6 (c) -13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30080 - -300797\/10. Let l = -7 - -8. Put l, v, 10, -2\/3 in decreasing order.\nAnswer: 10, l, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s. Let n(v) = 6*v**2 - 2. Let p(g) = 10*g**2 - 3. Let q(u) = -3*n(u) + 2*p(u). What is q(h(c))?\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-2 + (8 - 3)). Let w = 1086 - 1067. What is the remainder when 4\/v - (-608)\/12 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**4\/5 - 42*h**3\/5 + 171*h**2\/5 - 216*h\/5 = 0.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*(2 + 0 + sqrt(833)) + (sqrt(833)*-1*-3 - sqrt(833)) + 4))**2.\nAnswer: 1792*sqrt(17) + 53568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199192637 is divided by 162077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/200 and 23\/32.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 4, q: 5}. Give prob of sequence uxux.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1002509.\nAnswer: -3\/1002509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183.2272 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 14 (b) -0.3 (c) -1\/5 (d) 4\/9 (e) -14.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**2 + 41*r**2 + 25*r**2 + 4*r - 105*r**2.\nAnswer: -14*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9163385?\nAnswer: 5, 7, 11, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.02, 2, -0.1, -0.048, 4, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1717459452 - 36?\nAnswer: -36.1717459452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*d + 26. Suppose d*w = 15*w. Let n be w\/(3\/(-6)*6). Solve n = q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/615 and (-548)\/2055*(1 - 105\/82)?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46400\/7 - 6628. Let r be (2\/4)\/((-6)\/60). What is the biggest value in f, -4\/3, -0.1, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6572, -6634, -6692, -6746, -6796, -6842?\nAnswer: -6884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4109668 - -10790668. What is h rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12)*-4)\/((-104)\/416*(-4)\/35).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6546309 hours to microseconds.\nAnswer: 2356671240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19023 and 42299319.\nAnswer: 719088423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145.85 + -3.15. Let u = 153.94 + d. Let l = -0.06 - u. Which is the closest to -1? (a) -0.1 (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -618743, -1237495, -1856255, -2475023?\n\"Answer: -4*x**2 - 618740*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 36*n - 33*n. Let x(q) = 1. Let j(d) = -d**2 - 3*d - 8. Let r(w) = n*x(w) + j(w). What is r(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = h + 4*h, 23 = 5*v + 3*h. Suppose -j - v*t - 32 = -2*j, -j = -5*t - 28. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:22 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 28 = 0. Let z(b) = 9*b**2 - b. Calculate the remainder when n is divided by z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 16) in base 8?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bcb + -2be?\nAnswer: 90d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -283 - 7*f**3 + 284 + 10*f**3 - 5144*f**2 - f**3 - 3*f**3 as j*f + z*f**3 + r*f**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 4\/5, -4\/7, 0.089?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171))**2 + 1)*1.\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*u + 85 = 0, 2*v - 4*u + 2 = -92. What is the units digit of (-36)\/v*47*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.99 - 4. Let c = 0.19 - s. Let v = -2 - c. Which is bigger: 1\/2 or v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, 99, 231, 397, 609, 879, 1219?\n\"Answer: 2*p**3 - p**2 + 99*p - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:51 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*w**3 + 41740*w - 41740*w.\nAnswer: 661*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**7\/3360 - n**6\/240 - 3*n**5\/160 + n**4\/12 - 2*n. Let z(l) be the third derivative of g(l). Determine m so that z(m) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**2 - 3*s**2 - 3*s**2)*(2*s + 1 - 1) - 3592*s**3 - s**2 + 3730*s**3 + s**2.\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:31 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j - 18068 = -17900 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from eeeeeeeemeee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -114990 divided by -5?\nAnswer: 22998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.01941 and 2\/143 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(110)\/(sqrt(40)\/sqrt(4)) + 3)*2 + 0)**2.\nAnswer: 28*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**2 + 14*q - 8. Let h be f(4). Suppose 0 = 3*i + 193 - h. Solve 6 = -3*t + 3*d, -2*d - i = -3*t - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from {o: 1, z: 2, h: 1, x: 1, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -53. Put h, 3, -5, 4 in decreasing order.\nAnswer: 4, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -17*n**2 + 0*n**4 + 0*n - 1\/4*n**5 + 0 - 11\/6*n**3. Differentiate b(v) with respect to v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -1 + 73. Let c(f) = -f**2 + 4*f - 2. Let d be c(4). Let n = d + l. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + (-25)\/(-15). Let m(k) = -2*k**2 + 15*k - 13. Let l be m(6). Let p(c) = 96 - 93 - l*c + 3*c. Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 6593538*x - 10868685839361.\nAnswer: -(x + 3296769)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 m when three letters picked without replacement from xfmxxmmxfm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3994 + 5674. Does 30 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-7 + 0) - 1. Suppose 3*d = d + y. Suppose -18 = -d*r + 7. Solve -m + 4*h - 2 = 11, -4*m + r*h = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 23 = -5*z + 2*o, 0 = -5*z - o - 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934301 is divided by 37371.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*v**3 + 2*a**2 + 27*a*v + 3027*v**3 + 76*v**2 wrt v.\nAnswer: 12*a**2 + 18162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(60)\/(sqrt(1200)*-2) + 0 + (sqrt(25)\/(sqrt(5)*-1) - sqrt(5))**2 + -3.\nAnswer: -sqrt(5)\/20 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-2*16)\/(-4). Let d be 34\/30 - 4\/r. Let f = 10 + -6. Which is the closest to 0? (a) d (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 66 = -556 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/20 + 3\/(-15). Suppose -55 = 2*y - x*y. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*a - 28 = -0*i, -4 = -4*i - 3*a. Solve -3*y = -5*y - m - 3, -36 = 4*y - i*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -w + 3*q, -2*w + 50 = -5*q + 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -750*d**4 + d**2 - 728*d**4 + 2171*d - 733*d**4 + 2209*d**4 in the form h*d**2 + s*d + l*d**4 + n + t*d**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 237 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4584*x + 3774 = -4578*x. Is x a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.045 + -1.625. Let l = q - -0.08. Let p = l + 1.6. Sort -2, p, 2\/9 in increasing order.\nAnswer: -2, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 1. Suppose -2*p = 2, 4*y + 5*p = 2*y + 95. Let w(l) = l + y - 50. What is w(n(v))?\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.126 + -1238386257?\nAnswer: -1238386284.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42.83729ml?\nAnswer: 0.04283729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + (-20 - 2) - 61?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 6 - -4 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.193 from -0.1.\nAnswer: 1.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 74 = 2*u + 84, -3*u - 3*p = 231. Let l = u + 96. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3565 divided by -7369\nAnswer: -3565\/7369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 2*x**2 + 4*x**2 - 2*x + 3. Suppose -5*v + 6 = -2*v. What is the remainder when 31 is divided by j(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 + 3 = -3*z, -5*n - 23 = -2*z. Let d = -1 + 1. What is the nearest to d in 0.3, 1\/3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/109 or 1?\nAnswer: -52\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 11024849 = 3*m - 43875186, -3*m = 2*q - 54900038. Suppose 0 = 3*i - 3*d - m, i = -2*i + 5*d + 18300020. What is i rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 - 2) - 1) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -1 (c) -2 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.00349mm in nanometers?\nAnswer: 30003490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -144*p**2. Let t(h) = -24*h. Let k(r) = -11*r. Let u(j) = -13*k(j) + 6*t(j). Determine f(u(b)).\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 23*t**2 + 47*t - 18.\nAnswer: (t - 9)*(t - 2)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 2 + 3\/((-6)\/(-98)) + -5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/174 and 43\/58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*s**2 + 60*s**2 + 64*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -60\/11, 0, -8, -2, 3 in increasing order.\nAnswer: -8, -60\/11, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 984 or 409613\/416?\nAnswer: 409613\/416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 6*w**2 + 2*w**2 + (3 - 4 - 1 + (-3 + 2 + 3)*(-4 - 4 + 20))*(-4*w**2 + 3*w**2 + 3*w**2).\nAnswer: 41*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3536 = 864. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 651*h*t**3 - 12*h*t**2 + 144*h*t - 40*t wrt t?\nAnswer: 3906*h*t - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6413\/363*312\/52?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbv when three letters picked without replacement from vvbhvvhhbbvbhvvhv?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/271 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210133?\nAnswer: 7, 11, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -15 - (-17 - (-7 - (2 - 2)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1325. Let a be k(0). Suppose 2*y + 1333 = 3*w - 2*y, 0 = 3*w - 2*y - a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:14 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40969 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426416 by -55.\nAnswer: -426416\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 + o**2 + 37*o**3 + 29*o**3 - o**2 - 26*o**3.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1495\/(-52))\/(2\/(-8)). Suppose -2*l + x = -59. What is the remainder when l is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s + 16*s + 102752 = 0. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/7696 and -5\/666.\nAnswer: 69264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*4*7\/21)\/(944\/(-4248)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5924 - 5924 - 62*r.\nAnswer: -62*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 10, -145?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 + 1.23. Let b = -0.07 - g. What is the nearest to b in 0.2, 1\/11, -4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 88. Let v be b(0). Let i = v - -92. Solve -6*w = -2*w - 4*o + 12, 0 = i*w + 2*o - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 1\/4, 0.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 - 7*x**2 - 5*x - 4. Suppose d = -2*h - h - 4, -2*d = -3*h + 8. Let b be p(d). Suppose u - 5*u + b = 0. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 267, 1062, 2759, 5694?\nAnswer: 10203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 5. Let n be r(7). Let t(o) = -27*o. Let p = 794 + -775. What is the remainder when t(n) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 199, 16302?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 8. Let i(x) = -8*x - 16. Let b(o) = -4*i(o) - 9*y(o). Determine b(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 461.7.\nAnswer: 4617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 7*c + 2 = 0. Let h(g) = -g**2 - 7*g - 6. Let r be h(-4). Suppose 0 = 2*k + k - r. Solve x + 5*y + 5 = c*x, 3*y + 3 = k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zip when three letters picked without replacement from {i: 1, e: 1, z: 2, f: 1, h: 2, p: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:46 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(21\/(-9) + 3). Suppose 0 = d - a*f + 4, d - 5*f = -f - 7. Let n = 1 - -3. Are n and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-736)\/32)\/92*0\/((-28)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 10*r - 196. Calculate the highest common factor of 126 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) - 2*2. Let y(h) = -7*h. Let i(m) be the first derivative of -10*m**2 - m + 23. Let a(j) = 6*i(j) - 17*y(j). Give a(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 2*r. Let y be z(5). Let p = -11 - y. Let d be ((-3)\/(-2))\/(p\/24). Calculate the highest common divisor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k + 1 - 287*k**2 - 276*k**2 + 553*k**2 - 3*k as w*k + q*k**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, s: 6}. What is prob of sequence psps?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1474516 times 4\nAnswer: -5898064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*(-140903 - 155) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + (-1 - (-78 + 36)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/21 + 21776*a\/7 + 256642304\/21.\nAnswer: -2*(a - 36208)*(a + 3544)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqzaa. Give prob of sequence zqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54301 (base 7) in base 8?\nAnswer: -32325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*z - 5 = 0, -7*r + 2*r + 10 = -5*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6864*j**2 - 4*j - 1416.\nAnswer: -13728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 3*q**3 + 2*q**3 + (5 - 4 + 3)*(2*q**3 + 0*q**3 - 6*q**3).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 2\/35*f**7 - 13\/60*f**6 + 0*f**3 + 2\/5*f**5 + 0*f + 0 - 1\/3*f**4 + 49*f**2 - 1\/168*f**8. Factor k(q).\nAnswer: -2*q*(q - 2)**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*d = 21, 4*m + 70*d + 25609 = 25333 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*l**2 + 0 + (-l**2 + 3*l - 3*l)*(-5 + 3 + 1) + (9*l + 7*l - 7*l)*(-2 + l + 2).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32370 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3 + 10*y + 2. What is the derivative of k(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u - 6*u + u to g + w*u and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 + -115. Let w = -8 - l. Let h = w - 44. Which is the nearest to -0.1? (a) -1\/4 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44412340.\nAnswer: 2, 5, 7, 29, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 327*j - 255*j - 1080936. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 45836?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j + 54. Let a be h(-10). Suppose u + a*r = -2*u + 51, 4*u - 2*r - 46 = 0. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j)**28)**(9\/5)*((j*j*j**(-1\/3)*j)**17)**(5\/11) assuming j is positive.\nAnswer: j**(-4916\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 39. Suppose -f*u = -5*t, t = -0*u - 4*u. Suppose 7*g + 76 - 272 = t. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25702 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 901*p**3 - 3*p + 5*p + 113*p**3 - 406*p**3 to i*p**3 + m + b*p**2 + y*p and give i.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - o + 26 = 0, -545*z + 14 = -542*z - o. Put 0.4, -2\/9, -6\/19, -2\/5, z in increasing order.\nAnswer: -2\/5, -6\/19, -2\/9, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {a: 9, e: 1, q: 6, j: 1}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1555*w - 4660. Let v be u(-3). Let z(t) = -15*t + 7. Let k(y) = -y + 1. Determine v*z(x) - 35*k(x).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -31. Suppose -g*b + 0 + 501 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.1 (c) -0.3 (d) -1\/5 (e) -2 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -26 - ((2 - -16) + -145 + 127) - -5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-1 - -4 - -2). Suppose 4*i = b + 9, -4*i + 2*b + g*b + 13 = 0. Is -79*i*8\/(-16) 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 194462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (429\/(-130))\/33*-117770 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, 32 in decreasing order.\nAnswer: 32, 19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 38712*v - 114 = 38706*v, -v = -4*m - 33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 71 = -2*k, 4*s + 0*k = -2*k + 92. What is the highest common divisor of 105 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + (-25)\/5 + 0. Suppose 0 = 4*x - 2*j, 8 = -5*j - m. Does 51 divide 2\/4*(x + 103)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/18 and 25\/45958.\nAnswer: 413622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -k - 56. Let b be (k\/(-25) - 2\/10)*225. Let l = b + -349. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -614, -609, -604, -599?\n\"Answer: 5*j - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26765474 is divided by 557614.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209 or 5202\/25?\nAnswer: 5202\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30*3\/14 + (-4)\/(-7). Suppose x*u - 5 = 65. Find s, given that -u - 2*s**2 - 16 - 15*s + 14 + s = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/21 - 4\/14. Let w(q) = -3*q**2 - 4*q + 51. Let m be w(0). Let y(u) = -96*u**2 + 44*u**r + m*u**2. Let t(z) = 3*z**2. Give y(t(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:09 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-200)\/(-15)) + (-357)\/136. Is n at least as big as -115\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37550 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 25\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 + 4*h + 2. Let g be f(-2). Suppose 0 = -o - 0*o - g. Which is the second biggest value? (a) 3\/7 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 290237.85ms?\nAnswer: 0.003359234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52\/39)\/(2\/3). Solve 4*p = -4*g + 2*p - 6, -3*p - 5 = b*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/30107 and 95\/138?\nAnswer: 180642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54684 and 271467.\nAnswer: 7601076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/45*3\/(-2)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*q - 136*q + 60 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1534527, -3069025, -4603511, -6137979, -7672423, -9206837, -10741215?\nAnswer: -12275551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*x + 6, x + c - 11 = 5*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/792 + -1933\/396. Suppose 0 = -3*k - r - 6699 - 31384, 3*k + 5*r + 38063 = 0. Let t = -279373\/22 - k. Find the common denominator of t and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4341 - 4270. Which is smaller: p or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 11 = -2*h. Let g = h - -89. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*l**3*p**3 - 2964624*l*p**3 + 1610746*p**3 + 3*p + 1 wrt l?\nAnswer: 9*l**2*p**3 - 2964624*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14043737 to the power of 1\/2, to the nearest integer?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -z + 5*z, -4*m = -4*z + 24. Let a(t) = -t**3 - 10*t**2 - 14*t + 20. Let v be a(-8). What is the least common multiple of z + 9 + -1 + v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 7) to base 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.88398224 - 2.884. What is p rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + q - 5 = 2, -3*q + 3 = 0. Let d(x) = x**3 + 6*x**2 - x + 6. Give d(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 minus -3886.7?\nAnswer: 3762.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z**2. Let q(d) = -d**2. What is q(i(x))?\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-1 + -2)) + -3. Suppose -q = -m - 2. Let y be (-2)\/(-1) + (4 - q). Solve -y*t = 7 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45, 212, 667, 1554, 3017, 5200?\n\"Answer: 24*k**3 - k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 14375?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4375\/(-7350) - ((-2)\/(-12))\/(1\/5).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h\/(h*h\/(h*h\/(h\/(h**(3\/5)*h*h*h)*h))))\/h)\/h)**42*(h\/(h*h*h*h*h\/h**19*h))**(-1\/6) assuming h is positive.\nAnswer: h**(973\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q\/(q\/(q\/(q**(-3)\/q)*q)*q)))\/((q\/(q\/(q*q*q**(-1\/13)*q)))\/((q\/q**6)\/q))*(q*q**(-2\/5)*q)**(-1\/14)*q**3*q*q**(-2\/5) assuming q is positive.\nAnswer: q**(-5204\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z + 364 - 212 + 548 = 0. Solve 4*u + h = -17, -h = -z + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1207, 9213, 30937, 73237, 142971?\nAnswer: 246997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -4. Which is the smallest value? (a) -3\/7 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/8 - 5*z**3\/6 - z**2\/4 + 5*z\/2 + 7. Find y, given that v(y) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230008 is divided by 1200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29641981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -559, -1119, -1677, -2233, -2787, -3339, -3889?\n\"Answer: d**2 - 563*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/23? (a) 28 (b) 0.2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b*d**2 + 9*b*d + 722358*b - 4*d**2 + 36*d wrt d?\nAnswer: 14*b*d + 9*b - 8*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4200630, -16802540, -37805716, -67210152, -105015842?\nAnswer: -151222780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-3)\/(-6) + -1). Suppose 4*k - u = -5*l, 4*k - 5*l = -10 + 41. Solve -q = 3*q + k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5*f - 15, -15*f = -5*p - 18*f + 43 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.63647 to 1 dp.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.7 and 1270.\nAnswer: 12319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o + 75. Let j = o - -49. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*n + 45 = 2*x, 0 = -3*x - 4*n + 27. Let a(w) = -w + 13. Let u be a(x). Let l be 26\/4 - 2\/u. Solve 0 = -2*p - 4*h + l - 16, p + h = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 736*g - 7357. What is y(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*s**3 + 32*s**3 - 5*s**2 + 5*s**2 + 28*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 458705599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 82*q**2 + 83*q**2)*((-1 + 5 - 1)*(-2 - 2 + 3) + 16 + 23 + 9).\nAnswer: 45*q**2 - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1244 and 49\/3?\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 4*x + 104, -86*x + 23 = -2*v - 87*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 24199531060?\nAnswer: -24199531068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {z: 1, f: 2, g: 1, d: 2, k: 1, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 56. Let z(l) = 4*l - 55. Let a(d) = -2*c(d) - 3*z(d). What is the first derivative of a(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -468530.32 - 0.17.\nAnswer: -468530.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 6\/10823?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 20. What is l(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 3. Let u be l(0). Let c be (-2)\/u - 34\/(-6). Let g = 38 + -37.7. Sort c, g, -5 in descending order.\nAnswer: c, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4689 in -0.372, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14)*(-38 + 15 + 20). Which is the second biggest value? (a) 5 (b) y (c) 4 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-435)\/20*(-500)\/36250?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/11, -4 in decreasing order.\nAnswer: 4\/11, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*m - 15 - 7, -h - 5*m = -18. Let q be h\/(-4) - 764\/(-8). Suppose 12 = -3*d + q. What is the remainder when d is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 9. Determine x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5963 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 = -0*w - 2*w, -4*g = -w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 7 - 9. Let a = y + -14. What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2387181 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-41656)\/820 + ((-2)\/(-8) - 44\/(-80)). Is n bigger than -0.056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 9*u - 6. Let l be o(8). Suppose 2*c - c = 2*m, 5*c - 8 = l*m. Let w = 3\/11 - 20\/33. Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 208*q**4 - 11*q**3 - 6*q**2 - 2*q + 285857?\nAnswer: 832*q**3 - 33*q**2 - 12*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 38\/9*k + 34\/9*k**3 - 2\/9*k**4 + 74\/9*k**2 + 0 = 0.\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 1\/2, 16\/3, -2, -203, -5\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11330, -22722, -34114, -45506, -56898?\nAnswer: -68290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let i = 1 + 1. Factor -n**5 - 4*n**2 + 2*n + 2*n**o - n + i*n**4.\nAnswer: -n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1373*a + 19224. Let z be j(14). Find p, given that -1\/4*p**z + 1\/4 + 0*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*f**4*k**3 - 352*f**2*k**3 - 12*k**3 - 900*k wrt f?\nAnswer: -44*f**3*k**3 - 704*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 200 = 7*p. Solve -3*z + 8*z + 4*s - 30 = 0, -5*z + 4*s - p = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/20)\/(-1))\/((-36)\/(-180)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24578515 and 472.\nAnswer: 196628120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 902*g**6 - 363*g**2 wrt g?\nAnswer: 108240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2106, 4, -0.2 in decreasing order.\nAnswer: 2106, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*18\/600)\/(6 - 234\/48)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100 (base 6) in base 4?\nAnswer: -221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1462 equal to -1459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/10)\/(1\/(-5))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, 25, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1052 - -5600?\nAnswer: 4537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93969, 93972, 93973, 93972, 93969?\n\"Answer: -t**2 + 6*t + 93964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + r**3 - 4*r)*(182 - 242 - 21*r + 45) + 7*r**4 - 2*r**4 - r**4 as p*r**4 + h*r**2 + t*r**3 + u + j*r and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - 8814\/(-156))*2\/(-90)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414302 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28347573*r**5 + 15559019*r**2.\nAnswer: 1700854380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 19. Suppose -2*k - 3*r + 6 + h = 0, 5*k + r - 45 = 0. Suppose -87 - 57 = -k*l. Calculate the remainder when 56 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 9, 4, -1?\n\"Answer: -5*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631352149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 842+2127555\nAnswer: 2128397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 13 - 18 + 3 + 8 + v. What is x(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.04 + -3. Let j = r + -0.52. Let c = j - -10.58. Round c to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4112092 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-20 - -11 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206032053 + 26?\nAnswer: -206032024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:23 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 7. Let a be x(3). Suppose 0*i = -i + 2*q, i - 3*q + a = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19130076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)\/g**2*(g\/(g**(-5\/2)*g))\/((g**(-2\/7)\/g)\/g))**(-1\/4) assuming g is positive.\nAnswer: g**(59\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = m - 5, 18 = 2*m + n - 37. What is the remainder when 117 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 50421.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 16435743.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z - 2. Let g be v(4). Let y = -253 - -222. Let b = y - g. Solve -2*u + 7*u = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v. Let z be a(-2). Suppose z = 3*p - 2*q, -33 = -3*p + 4*q - q. Let i = 5392 + -5388. Solve 0 = -2*u - i + p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 7*b + 10. Suppose 3 + b = -k. Which is smaller: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8177 - -8181. Which is the biggest value? (a) -1\/4 (b) -0.4 (c) -3\/11 (d) 0.15 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (46\/(-138))\/(1\/(-12)). Solve b*c = -q + 5*c - 6, -3 = -2*q - 3*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231\/82921 or 1?\nAnswer: 231\/82921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 447233 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + 2*z)*(-31*z**3 + 37*z**3 - z**4 - 3*z**4).\nAnswer: -16*z**5 + 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 5*z**2 - 4*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/(-1456) - 4\/(-7)) + (-475)\/(-130)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*x + 44, x = 2*q - 62 + 18. Suppose -u - 2*p + 2 = 0, 0 = -2*u + 5*u - p - q. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 48*p**2 + p - 3. Let g be 4\/10 - 16\/(-10). Suppose -5*f - a + 79 = 0, -g*f = -4*a - 48 + 12. Calculate the remainder when z(1) is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3303 - 3300. Let b = -1 - -3. Solve x = -5*w - 30, -5*x = -p*w - b*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1760d + -b?\nAnswer: 17602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0502 + -0.0502. Suppose 0 = i - 3*i - 6. Which is the second biggest value? (a) -4 (b) -4\/9 (c) v (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116219, -464881, -1045983, -1859525, -2905507?\nAnswer: -4183929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 777199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -24147*a + 31. Calculate u(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/(sqrt(7)*2) - (sqrt(68)*-2 - sqrt(68))\/sqrt(4))*6 - (sqrt(272) + 3*sqrt(272)*2 + -2))**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -183296 and 0.4.\nAnswer: -73318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49246*u + 53506 wrt u?\nAnswer: 49246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3729955 is divided by 5061.\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156312183.99977 + -156311500. Let s = y + -684. What is s rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -6, -3, 181, -5, -2 in descending order.\nAnswer: 181, 2, -1, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3 + sqrt(20))*-4 + sqrt(320)*-4*6)*5)**2.\nAnswer: -110400*sqrt(5) + 4235600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26*n**3 + 643*n**2 + 17*n - 51. Let z(x) = -9*x**3 - 214*x**2 - 6*x + 18. Determine 6*m(b) + 17*z(b).\nAnswer: 3*b**3 + 220*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/5, 3, 18\/13 in ascending order.\nAnswer: -2, 3\/5, 18\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (6\/(-2) + 4). What is the remainder when (-8 + 4\/j)\/(-2) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (514 - 1442 - 1960)*(0*c - 3*c + 4*c) to the form k*c + n and give k.\nAnswer: -2888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5947 - 71263\/12. Find the common denominator of b and 43\/12356.\nAnswer: 37068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5668944.\nAnswer: 1\/1417236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*w - 149*r + 1224 = -152*r, 4*w - 5*r + 4 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -8717683\/20 and -435885 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -o + 15, 2*o - 6*o + 12 = 0. Suppose 7 = n - t. Suppose 5 + 20*r - 60*r**3 - 60*r - n - 74*r**2 - 18*r**4 = 0. What is r?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14660 = -261*a - 16831 + 13655 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:24 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 618642 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*p - 63 = 109*p. Let s(a) = -a**2 - 4*a + 112. Let c be s(p). Let n = 2.8 + -1.8. Put 11, -2, c, n in descending order.\nAnswer: 11, n, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 = -5*l - 476 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a9 + 1?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 4*r**3 - 11*r**4 + 1 - 2*r**4 + 16*r**4 + 2*r**2 as n + d*r**4 + a*r**3 + s*r**2 + f*r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22220, -22210, -22166, -22070, -21904, -21650, -21290?\nAnswer: -20806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46521.1 * -0.4.\nAnswer: 18608.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 3*q**4 + 5*q**4 + 1 + 9*q**3 + 2 to t + x*q**2 + d*q + l*q**4 + o*q**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/19 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z - 4. Give v(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31586260 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d4 - 0?\nAnswer: -1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2. Let x(t) = 54 + 5*t - 110 + 54. Let f(l) = 22*l - 9. Let r(b) = 2*f(b) - 9*x(b). Calculate n(r(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -1\/2, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 7*f + 10. Let i(o) = -o - 1. Let l be i(-9). Let m be s(l). Let r = 27 - 13. Solve 5*w - m*w - r = t, -t - 5*w = -18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/381 = -4.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 + -2587668?\nAnswer: -2587692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1892229+-2416903\nAnswer: -524674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2657 = -515*j - 2463*j - 74*j + 395*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 28*q**2 + 27*q - 7. What is h(-27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -3*26\/(-6). Let h = i - 5. Let o(w) = -w**3 + 5*w**2 + 3*w + 3. What is the tens digit of o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 36 = 5*w. Suppose 3*o - w*o = 0. Suppose -5*j = -o*j - 5. Sort j, -5, 0 in increasing order.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 minus -0.287?\nAnswer: -1.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 36 = 11*q. Let x be (q\/(-10))\/(12\/60). Solve x*r - 14 = -5*v, r - 2 - 5 = -4*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833964.8 centimeters to nanometers.\nAnswer: 8339648000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:24 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 416. Suppose 0 = 9*j - 642 - 114. Let v = j + -58. What is the highest common divisor of o and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 2\/27 (b) 1 (c) -126 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -414*-0.2\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90902 - 9142 = 35*t. Are t and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*k - 5*v, 16588*v - 16585*v = 4*k - 15 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/10, 9.\nAnswer: -5, -1\/10, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i**3 - 39*i**2 - 344*i + 5. Is 33 a factor of b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 31*z - 189 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3014460*t**3 + 1275*t**2 + 3014458*t**3 - 1275*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/24 + 13*j**3\/3 - j**2. Let f(o) = -o**2 - 4*o + 12. Let y be f(-6). Does 9 divide t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 658464*k + 658468.\nAnswer: -4*(k - 1)*(k + 164617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) - 188\/(-36). Let z be (-6)\/u*(-3 - -8). Let t be ((-24)\/8)\/(z\/8). Solve -r - t*l = 4, 4*r = -0*l - 4*l - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 36*i + 21*i - 57*i + 77*i**2. Let a(o) = 10*o. Determine a(b(y)).\nAnswer: 770*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384714 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5888)\/288 + 14 + 6)\/(10\/3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.4613 and 1.24.\nAnswer: 12.972012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 339369323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8586 and 12410658?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8*v = -3*v + 7, 3*v - 11 = 5*j. Let z(a) = 3*a + 1 - a + 4. Calculate z(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 - 4 = 0. Solve -20 = b + l*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and 5.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6554 - 6554 + 64*z**2)*(6*z + 13*z + 2*z - 6*z + 2*z).\nAnswer: 1088*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1977 by -179219.\nAnswer: 1977\/179219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -17\/3029, 1\/9, -0.3, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -269c - -13?\nAnswer: -2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-6 - -3) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-1215*o + 1215*o + 352*o**2)*(-6*o**3 + 3*o**3 + 2*o**3).\nAnswer: -704*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**2 - 153*r - 691. Let s be x(-6). Solve -7*t = -s*t + 3*b + 41, -4*t = 2*b - 26 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*v**4 - v**3 - 11*v**2 - 201*v - 1103850 with respect to v.\nAnswer: 44*v**3 - 3*v**2 - 22*v - 201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -470 + 404.875. Let n = 64.931 + 0.069. Let q = n + i. What is q rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 3:19 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 - -0.1. Which is the second biggest value? (a) n (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 68 = 4. Let q be a\/(-20) + (-2)\/(-5). Solve 3*u = -q*x + 24, -3*u + 2*x = -0*u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 + 3*o. Let c be d(6). Suppose 52 = 3*t - 3*b + 13, -4*t + 3*b + 57 = 0. What is the greatest common factor of t and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27104 + 27108. Solve -i*v + 5*b = -6*v + 31, 2*v = b + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3002 - 4138 = -7*g. Suppose -i + 348 = t, i + 2*i - 5*t - g = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 35*r + 76. Let i be d(16). Suppose 0 = 3*c - 2*m - 229, -23*c = -i*c - 2*m + 371. Calculate the highest common factor of c and 675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c64 - -3b3?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-3) + 16\/12. Suppose 4*b - 597 = -q*d, -5*b + 3*b + d = -301. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 917 divided by 4.\nAnswer: 917\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00077231 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 4*f + 8*f**3 - 53*f**3 + 0*f.\nAnswer: -45*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 8*(-4 + 1 + 2). What is the common denominator of -26\/33 and w + 4 + 49\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 44231328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from ttaakaakaatokoo.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4312, -8595, -12904, -17251, -21648, -26107, -30640?\nAnswer: -35259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v**2 - v. Let c be w(1). Suppose 176 + 264 = 20*o. Let z = c + o. Solve -3*r + z*r = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -64 (b) 2\/21 (c) -3 (d) 3 (e) -0.4 (f) -3\/4 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((((r\/r**(3\/7))\/r)\/r)\/r))\/r)\/(r**(-5)*r)*(r\/(r*r\/r**4))\/(r\/(r*r\/(r**1*r))))\/(r**(-3\/4)\/r**(-1\/2)*(r*r*r**(1\/2))**(-20)) assuming r is positive.\nAnswer: r**(1643\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 - 0.05. Let y be (-2)\/(-9) - (-20)\/(-9). What is the third biggest value in 0.1, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -55108?\nAnswer: -55108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-4))\/13*(-9 + (-20 - -3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t + a - 45 = 0, 0 = t + 2*a - 9. Let g(k) = -2*k + 22. Let j be g(t). Solve 0*u - j = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3707 - -10054. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 5*l**2\/2 + 6*l - 3. Let o(w) = -121 - 170 + 304 + 10*w. Determine 13*n(a) - 6*o(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-1 + sqrt(252) - sqrt(7)) + 3.\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4)\/((36547\/(-690))\/227)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*f + 11 = 0, -3*v - 4*f = -5*f + 5. Let o(n) = -6*n**2. Determine o(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 - 165 = -4*o. Let p = 209313\/20 - 10468. Calculate the common denominator of p and (5\/(o\/477))\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 - -309. Let k = -170 + s. What is the greatest common factor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*w**3 + 56*w**2 - 28*w - 40.\nAnswer: 4*(w - 1)*(w + 5)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 131 - 550 = -131 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 6808479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/3 + 5*g**2 + 14*g + 108. What is l(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 7\/((-1155)\/(-486)). Let z = -17\/11 + q. Which is the nearest to z? (a) -2\/5 (b) 1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 105, 158, 211, 264?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 2. Let i be (2 - 0)*3\/1. Let k be x(i). Suppose q - 5*b - 16 = 0, 6*b = -q + 9*b + 12. Solve 24 + q = 2*w - 5*g, k*w + 3*g = 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2339*j - 1924. What are the prime factors of v(7)?\nAnswer: 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.851+2.6\nAnswer: -2.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -974017.86 - 147715\nAnswer: -1121732.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(sqrt(1008) + 3 + 5).\nAnswer: 120 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5148 and 178?\nAnswer: 458172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5711009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m + 32. Let c be h(12). Let r = 66 + c. What is the third derivative of 135*v**3 + 10*v**r - 121*v**3 + 17*v**2 wrt v?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j = -1195 + 1033 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**3 + 22*z - 22*z + (4*z**3 - 2*z**3 - 4*z**3)*(1 + 3 - 5) - 5*z**3 - 8*z**3 + 4*z**3)*(-2*z - 1 + 1).\nAnswer: 30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 4*p**2 + p + 1. Calculate r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 8. Find the first derivative of 0*u**4 - u**4 + 4 + 8 - f wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -13, -26, -33, -28, -5?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.587984 months in centuries?\nAnswer: 0.00382332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/54940 and 30\/737.\nAnswer: 604340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2))\/(1 - 3). Let d(k) = -k**2 + 7*k - 4. Let g be d(6). Let b(m) = m - g*m - m**2 - 1 + m**3 + m. Give b(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w\/(w*w*w*w*w**5*w*w))\/w))\/w**(-2\/17))\/((w**3*w*w)\/((w*w**(-5))\/w)) assuming w is positive.\nAnswer: w**(53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 910178334 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19575 and -0.5.\nAnswer: -19575.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 214385.6 days in nanoseconds?\nAnswer: 18522915840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-175 - -25) + 629 + -613\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emlmeme. What is prob of picking 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 308\/44 - (-2 - -15) - (-9)\/1. Solve k*v = 13*v - 60 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95199149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9520.767kg to tonnes.\nAnswer: 9.520767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 15 - 6 - 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - b + 5774 = 0, -h + 7706 = -5*h + 5*b. Let p = h - -2811. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3124546956 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-51)\/17 - -12)*(-4)\/6. Put -16, -5, -2, q in descending order.\nAnswer: -2, -5, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(-4*-1*sqrt(156)*-2)\/(sqrt(132)\/(sqrt(11) + sqrt(44)) - ((sqrt(300) - (sqrt(300) - (sqrt(300)*-1 - sqrt(300)))) + sqrt(12))).\nAnswer: -24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1428 and 96?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/100 and 1\/120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183607 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 + 31 - -37) + 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 3, k: 3, o: 3, y: 2}. What is prob of sequence by?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.7. Let z = -4.4 + 2.4. What is the nearest to w in 5, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -4*h**3\/3 - h. Let g(a) = 36. Let s(y) = -4*y + 216. Let c(z) = 6*g(z) - s(z). What is c(l(x))?\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n. Let f(t) = -60*t**2. What is z(f(u))?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:31 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 3, b: 5, n: 4}. Give prob of picking 1 b and 2 m.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (367 + -375)*5\/(-940).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0984334*15.\nAnswer: 1.476501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + f - 4*g - 11, 0 = 4*f + 3*g + 5. Is f less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -53. Suppose -5*c + 4*p + 4 = 0, -t*c - c + 40 = 5*p. Suppose 0 = 4*f - c*j - 0*j - 36, -4*j = 12. Solve 1 = -x, -6*x + 2*x - f = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(2\/3*-3))\/(9032\/(-171608))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 138, 149, 164, 183?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/2721762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 1 + 1)*(-1 - 3 - 5) in the form n + w*d and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105758395.\nAnswer: 5, 37, 113, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 9.68?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(7\/3)*y\/(y\/(y**(5\/3)\/y))*y*y**(-3)*y**0 assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 179*f - 171*f. Calculate the lowest common multiple of f and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146353600*q**4 + 2*q**2 + 731*q - 973 wrt q?\nAnswer: -3512486400*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -15, -14, -13?\n\"Answer: q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3890049?\nAnswer: 3, 47, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -f + 6*f. Suppose -r + f = 3*r. Suppose m - 8 = -m - 4*j, j + 20 = r*m. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 + -3 - 2) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3905*h - 2 + 3905*h - 19*h**3 to t*h + j*h**2 + b*h**3 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 234*w**2 + 0*w**3 - 231*w**2 in the form i*w + l + d*w**2 + o*w**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p - 12. Calculate the remainder when 310\/5 + 1 + 8 + -8 is divided by 31 + 0 - p - 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 770 and 830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4*20\/(-30))\/(12\/240)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 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: Sort 39, -5, 12.\nAnswer: -5, 12, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 5 in ascending order.\nAnswer: 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 501*g + 2385. Calculate k(-5).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 299, 5, 2, 1 in descending order.\nAnswer: 299, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = 3*n. Suppose 5*v = 4*z + 31, 0 = -4*v - 2*z + n - 2. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*w - 129 = 0, 0*w - w + 83 = 2*o. Suppose 2*c - o = -c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32046 and 17623338.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -70.3. Let u = -29 + 29.01. Which is the second smallest value? (a) -2 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-268*a**3 + 268*a**3 + 68*a**4)*(3 - 3 + 2)*(-1 - 1 + 3) as q*a + s*a**4 + c*a**2 + n + y*a**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from whghhgn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 92.8 (b) -1\/3 (c) -3 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and -520170.\nAnswer: 33290880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*t - 2. Let u be (-4675)\/(-30) - 1\/t. Suppose -u = -5*s + 3*v + 371, 5*s + v - 531 = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9452\/2181 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11470\/13 <= -882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -1338?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -0.2 (c) 124\/5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3241 + 3241 + 3125*n**3.\nAnswer: 3125*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 61. Let z(y) = 51*y - 20. Determine a(z(i)).\nAnswer: -51*i + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -213076480.3346 take away 6?\nAnswer: -213076486.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 28. Let c(u) = -2*u + 4*u - h*u + 4*u. Let i(p) = 4*p**2. Give c(i(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 3. Let b be d(4). Let o be 2\/(2*b\/2). Let t(u) = -u - 2. Let z be t(-2). Is o equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/95 and -25\/3.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 937, 6174, 14877, 27052, 42705, 61842, 84469, 110592?\n\"Answer: d**3 + 1727*d**2 + 49*d - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 14418*n**2 + 14418*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -12 - 6. Solve i*k - 10 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8922048*f**2*s**3 + f*s**3 + 10683686*f*s wrt f?\nAnswer: 17844096*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 107. Suppose 3*t - 9 = 3*r, 0 = 5*t - 16 - l. Solve 4*p = -r*p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010 + -100101?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 = -77. Let d be (-6)\/g + (-22)\/(-10). Let j(q) = -57 + 57 - d*q. Let l(n) = -10*n**2. Determine j(l(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3514638*r**2 + 5466*r - 245970. Let h(b) = -10932*b**2 - 17*b + 765. What is -5466*h(p) - 17*w(p)?\nAnswer: 5466*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 124*a**2 - 30 + 64 + 115*a**2 - 31 to the form m*a**2 + w + g*a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from rxxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-10))\/(48\/(-80)). Which is the second biggest value? (a) r (b) -0.5 (c) -2\/15 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-230762)\/(-784))\/53 + (-8)\/(-14) and 152\/96 + (-2)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - o - o - 4. Let g be l(4). Let q(t) = -t + 8. Let m be q(8). Solve m*x - 4*x = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924*m + 1392 = 23477 + 31787 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**3 - 56*b**2 + 2*b + 10. Let n be p(8). Solve 4*w - n*w + 88 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-63)\/((-126)\/14). Sort 4, -2, 3, i in decreasing order.\nAnswer: 4, 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 1\/3 (c) -158 (d) 1 (e) 1\/2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*t - 67 - 19*t + 68)*(-t + 2 - 2).\nAnswer: -98*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10945667 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {r: 2, z: 1, m: 8, f: 1, g: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - (-24)\/10. Let k(p) = -q + 1 - 2 + p**2 + 9 - 13*p. Is k(14) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1380 and -37\/164275200?\nAnswer: 164275200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 116\/(-5 + -1 - -7). Is (h\/5)\/(10\/125) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 21*b**2 + 5*b - 27. What is the tens digit of m(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11*a**2 + 12*a + 12. Let w(g) = -11*g**2 + 14*g + 14. Let n(p) = 7*m(p) - 6*w(p). Let k(i) = 7*i**2 + i. Calculate n(k(z)).\nAnswer: -539*z**4 - 154*z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 871\/4022 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*j*z**4 + 39*j*z**3 + 5501*j - 5*z**4 - 12*z**3 - z**2 + 2*z + 644 wrt z?\nAnswer: 1008*j*z + 234*j - 120*z - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1644, -11462, -38032, -89730, -174932, -302014, -479352, -715322?\n\"Answer: -1396*z**3 - 46*z - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -83529*r**2 - 21*r - 2. Let z(v) = 2*v. Determine z(y(b)).\nAnswer: -167058*b**2 - 42*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 49. Suppose -u - 4*u = -b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(3\/(-7) - 32\/56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 16*v + 61. Let c be z(14). Let k be 0\/(c\/9 + (-25)\/15). Which is bigger: -4\/135 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -2\/63 (c) -0.15 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in 1\/6, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38008 - 13778. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 4076820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 274 = 76. Let h = x - -73. Let m(w) = w**2 - 6*w - 7. Calculate m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -59954\nAnswer: 5\/59954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -115, -162, -159, -82, 93, 390, 833?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 196, 173, 130, 61?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 10*v - 9. Let y be p(-10). Let q(j) be the third derivative of -j**4\/24 - 7*j**3\/6 - 9*j**2. Let k be q(y). Solve -k*s + 4 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.429 - -0.4849. Let a = h + 29.8441. Round a to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0682 + 1.0682. What is the closest to -2 in 8, -1\/7, a, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 11*m**2 - 11*m + 14. Let c be p(-12). What is the common denominator of c\/8 + (-228)\/(-1008) and 109\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.88 + 0.12. Let j = -0.3 - -0.4. Let h = 0.2 - j. Which is the smallest value? (a) q (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 18. Suppose 4*p = p + g. Solve 0 = -3*a + p*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63284 - -16.67?\nAnswer: -63267.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d6fca (base 16) in base 6?\nAnswer: -105203150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4*((-55)\/(-11))\/(-55))\/(-58)\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-150))\/(((-78)\/(-13))\/((-32)\/(-8))).\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 15406340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -72. Let a be (6\/(-40))\/((-18)\/(-5)). Are k and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-9) + -1)*1. Let d(w) = -w**2 + 7*w - 6. Let c be d(6). Suppose -n - 2*n - 18 = c. Is y < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2. Let g be -2*(4 - 22\/4). Suppose -4*a + g*a = -r + 1, 5*a = -5*r + 35. Let v(u) = 6*u - 25*u - r*u. Determine v(x(i)).\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13336, -12927, -12230, -11233, -9924, -8291, -6322, -4005?\n\"Answer: 2*t**3 + 132*t**2 - t - 13469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341000053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 - 35*d**2 + 6*d - 204. Let q be u(-18). Solve 0 = 293*m - 287*m - q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -108*o - 7. Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(9\/(-6)))\/(-1). Suppose -286 = -z*u - 102. Suppose -2*l = 2*l - u. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/9*(-11)\/55.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 7*f - 1. What is l(5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14 + 2 - 3 - c. Let r(s) = -s**2 + 17*s - 7. Let d be r(17). Does 5 divide m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9651)\/(-3) + (-3 + -3 - -10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/10*(474075\/(-98))\/387.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v - 3. Let w be u(-2). Suppose 8 = -9*z + w*z. Suppose z*x = 2*j + 318, x - 4*j = -7*j + 171. Calculate the greatest common divisor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 6*x + 36.\nAnswer: -2*(x - 3)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n**2 - 6*n**2 - 2 + 2 + 33*n**2 + 483*n.\nAnswer: -18*n**2 + 483*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and 2751270.\nAnswer: 2751270.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-5*sqrt(108)))**2 - (sqrt(28)\/(sqrt(16)\/sqrt(4)*-5))**2.\nAnswer: -56\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000111001111110100100 (base 2) in base 3?\nAnswer: -1012000102202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3750286 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 12*d - 13. Let o(j) = -2*j**2 + 25*j - 27. Let k(w) = -3*o(w) + 7*q(w). What is the remainder when 37 is divided by k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d. Let g = 3 + -1. Suppose -47*s = -1 - 234. Let t(b) = -2*b. Let i(v) = 4*v. Let m(f) = g*i(f) + s*t(f). Determine p(m(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3 - 15948*g**2 - 15008604*g + 1793409452 = 0. What is g?\nAnswer: -2047, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**4\/72 - 82*b**3\/9 - 6724*b**2\/3 - 516*b. Solve m(k) = 0.\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 323*i + 47*i**3 + 971*i - 323*i - 323*i - 1. What is g(1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31011 (base 4) in base 6?\nAnswer: -3513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15159 at least 6642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 88. Calculate the remainder when 19 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -43. Suppose 3*g - 21 = -2*c, -2*g - h = -3*g + 3*c. Let b(q) = q - 2. Let o be b(g). What is the highest common divisor of 77 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 2*z**2 - 3*z - 2. What is a(-4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 1164 = 20*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**4\/6 - 8*y**3\/3 - 5*y**2 + 4*y. Let m be g(-7). Factor m*o**2 - 18*o - 15*o + 25*o + 4.\nAnswer: 4*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4126 - 4119. What is the closest to n in -1\/3, -5, 0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x - 2 - 46*x + 43948*x**2 - 19*x.\nAnswer: 43948*x**2 - 107*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -166*r - 308. List the prime factors of b(-4).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 2*j**2 + 6*j**3 + 8 + 2*j - 24*j**3 - 4*j**2. Suppose 2*w = -2*w + 5*d - 12, 0 = -3*w + 4*d - 9. Is m(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*j**4 + 6*j - j**3 + 261*j**4 - 10*j**2 + 15*j**2 in the form p*j**3 + s + d*j**2 + u*j + m*j**4 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emf when three letters picked without replacement from xxbbexzxbfmzbzmbxm?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -87*c - 6. Let x(a) = 19*a - 3. Determine s(x(b)).\nAnswer: -1653*b + 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 11*k. What is the units digit of t(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 + 5*d - 1. Let t be o(4). Calculate the lowest common multiple of (-1 - 3) + (-7 - t) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2577, -2579, -2581, -2583, -2585?\n\"Answer: -2*q - 2575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -10. Let c(t) = t**3 - 8*t**2 + 2*t - 3. Let m(h) = -h**3 + h**2. Let y(x) = c(x) + 2*m(x). Give y(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/3 + 76574104*z\/3 + 732949175425352\/3 = 0?\nAnswer: -19143526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -9) + -17 + 21 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, 145, 4, 2, 3 in ascending order.\nAnswer: -11, 0, 2, 3, 4, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2432143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-105) + (-7)\/((-105)\/141)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 3:00 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/5)\/a**4)\/(a**(2\/7)\/a)**(-6\/5))\/(a**(4\/5)\/a*a*a**(-7\/4)*a)**(-34) assuming a is positive.\nAnswer: a**(-277\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3557481*q**2. Let y(p) = -2*p**2. Determine a(y(w)).\nAnswer: 14229924*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 794454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 174 + -1 - (-1)\/(-3)*3. Suppose -4*a - a + f = -k, -4*a = k + 199. What is k rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 40*d**2 + 90*d - 5. Calculate the remainder when j(-8) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2209 + 37 = 0. Let x = 1172 + s. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4983012864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j**2 - 15*j - 15. Let i(k) = -4*k**2 - 7*k - 7. Determine 13*i(n) - 6*x(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -22*h**2 - 2807. Let l(w) = 2*w**2. Calculate k(l(m)).\nAnswer: -88*m**4 - 2807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -6*w**3\/5 - 542*w**2\/5 - 48*w + 633. Solve h(x) = 0.\nAnswer: -60, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/4 + 5473*c**4\/4 - 11*c**3\/4 - 60221*c**2\/4 - 49261*c\/2 - 10946 = 0. What is c?\nAnswer: -5473, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11212011 (base 3) to base 9.\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/4, 0.01, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19495 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28. Let a(o) = o**2 - o + 28. Let b(t) = 5*a(t) + 4*p(t). Calculate the remainder when b(3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20394\/485 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7) + 285\/35.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-15)\/(-5) - (-2 - -2)). Suppose 17*w - o*w - 28 = 0. Calculate the remainder when w is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10992, 43006, 96362, 171060, 267100?\n\"Answer: 10671*d**2 + d + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -0.20009?\nAnswer: -18.80846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420.998 weeks to seconds.\nAnswer: 254619590.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/((-52)\/(-26)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48052.35 milliseconds in microseconds?\nAnswer: 48052350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/14)\/(3\/(-4)). Suppose l*q - o + 2*o - 17 = 0, o + 19 = 4*q. Let b be -5*-2*(-1)\/(-2). Which is bigger: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284080 is divided by 6105?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**2 + 6*l + 14. Determine w(5).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 606\/252 - 2 - 6\/(-36). Factor 0 - 2\/7*f**4 + 0*f + z*f**2 + 2\/7*f**3.\nAnswer: -2*f**2*(f - 2)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 2772450.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 i when three letters picked without replacement from {a: 2, i: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -38. Suppose -i + 4 = 2*h - 5, 0 = -2*h + 4*i + 24. Let c = w + h. Sort c, -2, -1 in decreasing order.\nAnswer: -1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3004*a + 8658. What is the thousands digit of v(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -125161 = -125160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let p = -77 + 148. Suppose -5*o - z + p = 0. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-144)\/30 - (-1)\/(-5). Let d(p) = 13*p**2 + 3*p - 3. Is d(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4486508 and 536?\nAnswer: 601192072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60667 + 0?\nAnswer: -60667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -102.999973. Round i to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40292, 1\/7, -1\/385?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/4)\/(-3) + 5. Suppose 30 = m*d - 0*d + 2*c, c + 21 = 2*d. Suppose -2*v - 2*v - d = 0, -4*k + 2*v + 2810 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010001100 (base 2) to base 12\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225394728?\nAnswer: 2, 3, 13, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/16*(-489510)\/9065?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5535524.\nAnswer: 2, 1383881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 10*r + 29. Let d be ((42\/(-15))\/(2\/10))\/1. List the prime factors of p(d).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30991, -31008, -31035, -31084, -31167, -31296, -31483?\nAnswer: -31740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090 + 3710 = 960*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/540 + -89\/540. What is the smallest value in b, -4\/3, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23778, 95107, 213982, 380397, 594346, 855823?\nAnswer: 1164822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-27)*54\/(-42).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 2\/3, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 47. Let o be v(-29). Let w(c) = -4*c + 75. Let l be w(o). Solve 2*x + 2*j = -18, 2*x = 2*j - l + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112573 is divided by 4020.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let f(d) = 334 - 8*d - 671 + 335. Calculate f(i) - 3*g(i).\nAnswer: -5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -911, -1354, -1819, -2312?\nAnswer: -2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {u: 1, r: 2, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1477 divide 20242285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22075 + 22109. Solve n*u + 88 = 23*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -152067*r**3 + 1730*r + 1730. Let p(k) = -352*k**3 + 4*k + 4. What is -4*g(t) + 1730*p(t)?\nAnswer: -692*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2 - (-2 - -1)). Let s(u) be the first derivative of 2*u**2 - 4*u**n + 2*u**5 + 4*u**2 + 1 - u**5. Find the second derivative of s(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/7 - 94*l**4\/7 + 514*l**3\/7 - 914*l**2\/7 + 492*l\/7 = 0. What is l?\nAnswer: 0, 1, 2, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-1 - 0 - (31 - 30) - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/69 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 228)\/(7\/((-49)\/(-7))). Let u = 245 - x. Suppose -2*i - 4*c = -86, 4*c + 208 = 7*i - 3*i. What is the remainder when i is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/7 (b) -63 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*q = 1564354, -215*v = -213*v - 2*q - 782180. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793996 at least as big as 793996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6 - (-136)\/(-510).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-15)*(-30)\/1. Let g = -6 + y. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, 20, 5, 4, 2\/19 in descending order.\nAnswer: 257, 20, 5, 4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -296072, -5, 3 in decreasing order.\nAnswer: 3, -5, -296072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/40 - s**3 + 9*s. Let f(y) be the second derivative of p(y). Let b(o) = -6*o**2. Calculate f(b(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7462907530?\nAnswer: 2, 5, 13, 73, 211, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 250518 divided by 6\nAnswer: 41753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 + 8444*m**3 + 3852276*m**2 - 657314044*m + 653453320 = 0?\nAnswer: -1121, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -115*g - 347. Let a be 27 + -4 - 260\/10. Calculate t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8502\/9919 - (-142)\/(-133)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)\/(i\/i**(-2\/97)))\/(i**(-4\/11)*i**(-1\/30)\/i) assuming i is positive.\nAnswer: i**(52319\/224070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 308 - -2?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rojzo. Give prob of sequence rzj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.155 and -24.\nAnswer: -24.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*t**3 - 7*b*t + 4*b + 463*t**3 + 6*t**2 wrt t?\nAnswer: 18*b*t + 2778*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120111 (base 5) to base 3.\nAnswer: 20001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*r = -100*r - 54. Let h(p) be the first derivative of 8\/5*p**5 + 0*p + 8*p**2 + 17 + 0*p**4 + 0*p**r. What is the second derivative of h(w) wrt w?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 394, -22, 4\/9?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/18)\/(1\/((-2)\/48*-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.58391 to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 17*v + 1 = 3*h, 5*h - 3*v = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8004*u - 215098. Determine o(-27).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11303\/7 + -1615. Which is the second biggest value? (a) 19 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqfq when four letters picked without replacement from {q: 2, c: 2, f: 2, w: 6}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 12:11 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 13326733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7524\/(-66) - -122)\/((-104)\/(-30))\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1417, 1421, 1425, 1429, 1433?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*s = -100, 0 = 5*w - s - 2*s - 108. Let h(d) = 14*d + 256. What is the remainder when w is divided by h(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102\/25 - 1226\/325. Factor -6\/13*t + 2\/13*t**5 - 2\/13 - 4\/13*t**2 + 6\/13*t**4 + c*t**3.\nAnswer: 2*(t - 1)*(t + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12144 and 137\/72.\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012239 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/2 + 2701*p**2\/2 + 6743*p + 8088 = 0. Calculate p.\nAnswer: -2696, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 7*d**2 - 14*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4111, -4078, -4031, -3970, -3895?\nAnswer: -3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 - 12953682*k**3 - 13983169399995*k**2 - 27965833606836*k + 489410022246180 = 0. Calculate k.\nAnswer: -2158946, -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/19 (b) 5 (c) -5\/6 (d) -0.63 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (1 + (0 - 19) - -27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 9. Let n = 57 + -54. Let k be p(n). Solve -v = k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 5. Let x(v) = 5*v**3 - v**2. Let z be x(1). Let h(d) = 1 + 0*d - 2*d - 4. Determine z*r(m) - 7*h(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -104. Solve -a - a + 3*u - 6 = f, 0 = 5*a - 5*u + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)\/b**(3\/7)*((b*b**1\/b)\/b)**(-17))**(-41) assuming b is positive.\nAnswer: b**(-164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 4, u: 4}. What is prob of picking 1 w and 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) - 74\/(-14). Let f be (-3 - -6) + 0\/19. Suppose f*j + 4 = v*j. Solve -j*o - 3*o + 3*d - 16 = 0, -3*o - 4*d - 27 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2512907\/723 + 2\/(-3). Calculate the greatest common factor of u and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8101381.5 microseconds to hours.\nAnswer: 0.00225038375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(8\/(-18))*(-4)\/(-24)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k - 16. Let f(x) = x**2 - 2*x - 1. Let s be f(-2). Let i be l(s). Solve -b - i = -5*y, 11 = y - 0*b - 2*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkknkkknknkknkknknn. What is prob of picking 2 n?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1999.99795 - 2000. What is f rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12730 - 0?\nAnswer: -12730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 5*i + 40 + 2*i - 3*i - 9 to the form v + q*i and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = j + 2*j - 57, 0 = -5*j + 3*f + 87. Suppose -7*l + 71 = j. What is the remainder when 13 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.0957.\nAnswer: -0.1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3380203\/3311 + -11226\/11. Let v = 3\/43 - b. What is the closest to -0.1 in 3, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23149 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*m - 2*z, -71*z - 30 = -2*m - 75*z. Sort m, 4, -4, -825.\nAnswer: -825, -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 554526\/5 or 110906?\nAnswer: 110906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -162*i**5\/13 + 89147016*i**4\/13 - 12264371009282*i**3\/13 + 51781816850636*i**2\/13 - 5357507455960*i + 30281468179600\/13 = 0.\nAnswer: 10\/9, 2, 275143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 5 + 4 + -5)*1.\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0247 - 0.081.\nAnswer: -0.1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 10 - (1 - -7)) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8905 or -5.348?\nAnswer: 8905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 128552101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6*q + 0 - q - 25*q**2 + 24*q**2 as b + r*q**2 + w*q and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d + 3*d - 38*d - 7*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/12, -2, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1713722650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76428 - -76428.0033693. What is o rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (721\/(-5))\/(-2 + 13). Let w = -137\/10 - b. What is the common denominator of w and 5\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((0 - 6)\/(-3)). Suppose -2*q - i + 2 = 0, -q + 0*q - i + 2 = b. Solve -4*s + 3*s = q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8020 and 3220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4282435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 145018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 3) to base 9.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -42?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + c = -b - 71, -b + 21 = -c. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**2. Let z(i) = 94*i**2 + 15*i - 5. Let b(q) = -140*q**2 - 21*q + 7. Let r(d) = -5*b(d) - 7*z(d). Calculate r(v(h)).\nAnswer: 2688*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.274 millilitres to litres.\nAnswer: 0.725274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/110 and -28 + 15 - 2481\/(-180).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 9*a - 18. Let r be v(6). Suppose r*h = -2*h + 144. Let x = h + -68. Solve 27 = -x*w + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 809, 1621, 2433, 3245, 4057, 4869?\nAnswer: 5681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 4*p**3 + 0*p**3 + (-18*p**2 - 20 + 20)*(1 - 1 - 2*p) to the form f*p**3 + i + v*p + a*p**2 and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 8:35 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 153690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/9)\/(1\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -190.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 greater than or equal to 3407\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 30*b - 41*b + 64*b + b**2 + 41 to the form m + s*b**2 + x*b and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438 = -5*b + b - 2*c, -4*b + 431 = -5*c. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254 + 375*o**2 - 3 - 293*o**2 - 317*o**2 wrt o?\nAnswer: -470*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 19. What is the remainder when z is divided by -20 + (-4)\/20*-145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o - 25. Let g be u(-5). Suppose -3*t = x + 2*t - 102, -g*x + 360 = -5*t. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 m when four letters picked without replacement from {m: 2, x: 8, t: 6, b: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -1736, -4056, -7340, -11588?\nAnswer: -16800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.51 + 21. Let s = 8.81 + t. Which is the nearest to 43? (a) -4 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16*v + 21. Let m(g) = 17*g + 22. Suppose 28*c - 12 = 31*c. Let w(n) = c*x(n) + 3*m(n). What is the derivative of w(f) wrt f?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14111 - 14112. Sort -2, p, 28, 2, -3 in increasing order.\nAnswer: -3, -2, p, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 7, 36, 16, 1, -11 in descending order.\nAnswer: 36, 16, 7, 1, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsns when four letters picked without replacement from {n: 5, s: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -122, -136, -82, 82, 398, 908, 1654?\nAnswer: 2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {g: 1, e: 6, c: 5, l: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8160\/(-45))\/(-17))\/(12\/(-18)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11172300 rounded to the nearest one hundred thousand?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1244980 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10 (b) -0.3 (c) 1 (d) -44.2 (e) 0 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 327, 335, 371, 429, 503, 587?\n\"Answer: -v**3 + 20*v**2 - 45*v + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Suppose 4*n + 2*p = 39 + 71, 3*p - 84 = -3*n. Suppose v + n = 4*v. Calculate the least common multiple of l(v) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) + -1 + (-24)\/(-2). Let b be (-13 + i)\/(1 + -2). Solve -2*k = -10, 12 - 35 = -3*q - b*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a + 2*a**2 + 3*a - 1 - 2*a. List the prime factors of n(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/24 and -79\/304.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 186 = -4*h - 14*l, 0 = 4*h - l - 195. Suppose -2*i - h = -6*i. Calculate the greatest common divisor of 138 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -121*j + 102*j - 3*j**4 + 6*j**4 + 12*j**4 + 134*j**2 - 134*j**2 + j - j**4 - j + (2 + 2 - 6)*(-j**4 + 5*j - 5*j) - 2*j**4 + 3*j**4 + 0*j**4.\nAnswer: 17*j**4 - 19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2))\/(l*l*l\/l**(-3)))\/(((l*(l\/l**0)\/l)\/l)\/l)**(1\/43) assuming l is positive.\nAnswer: l**(-300\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcwwwccwcwccccw. What is prob of picking 3 w?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 188911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from bbbffibbmj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 90 = 26*c. What is the derivative of 11*o - o - 72 - c*o + 50*o wrt o?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*i**2 - 197*i**2 - 28*i**2 - 16*i**2)*(-i**2 + i**2 - 2*i**2).\nAnswer: 724*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.015 + 0.015. Which is the second biggest value? (a) -4\/5 (b) -0.5 (c) z (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11520)\/(-352))\/(-120)*(-77)\/(-6)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o = 105*o + 3539 + 2139 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141 - -519a?\nAnswer: 5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**3 + 24456*s**2 - 73396*s + 48936 = 0.\nAnswer: -6117, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -28434 divided by -2098\nAnswer: 14217\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 + -1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3695 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 175056246347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094.\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 10)*(3 + 0 - 4)*(-5*n**2 - 5*n**2 + 6*n**2) to u*n**2 + q + y*n and give u.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssd when three letters picked without replacement from issdsdssssddsssi?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 11*l + 150. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**3 - j**2 + j - 1. Let d be k(1). Suppose -4*z - g + 5 = 0, -4*z - 3*g = -2*z - d. Is z greater than 7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + o + 23. Calculate z(10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5306 - -5333. Solve -6*a = 9 + r for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, -22\/7, -2\/19 in descending order.\nAnswer: 5, -2\/19, -0.2, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -3. Let m = 4.34 + f. Let u = m - 0.74. Put 5, 0.3, u in decreasing order.\nAnswer: 5, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5 - 56*n**4 + 566*n**3 - 2472*n**2 + 3960*n = 0?\nAnswer: 0, 5, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185665 is divided by 20629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -320 - -323. Let r(b) = c + 1 - 2*b - 6 + 0. Calculate r(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**2 - 11*h**3 - 4*h**2 + 72*h**3 + (0 + 4 - 3)*(4 - 4 + h**3).\nAnswer: 62*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -503, 0, 65, 5, -3 in decreasing order.\nAnswer: 65, 5, 0, -3, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (7 - (2 - (-30 + 6))) - -24\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 472400107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**7\/21 + w**4\/6 - 3*w - 7. Let a(k) be the first derivative of v(k). What is the third derivative of a(r) wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = i + 4. Let v be (0 - -2)*1\/(-2). Let o be v + i + 0\/(-1)*1. Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210799 by 12.\nAnswer: 210799\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h**2 + 7*h**2 + 20*h**2 to the form s*h + v*h**2 + y and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -715 + 1?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 35. What is c(15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106932700 rounded to the nearest one million?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 187900 + 107?\nAnswer: 188007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) -1\/4 (c) 1\/5 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjwjjjjwwjj. What is prob of picking 1 w and 1 j?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3d6 (base 14) to base 6\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -943916*k + 1317 wrt k?\nAnswer: -943916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217293824?\nAnswer: 2, 11, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1223 - -820. Let q = c + 754. Is q a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2419793.\nAnswer: 2419793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b + 13*b + 18*b)*(2 - 3 + 4)*(-1 + 2 + 0)*(-11 + 0 + 6).\nAnswer: -300*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3\/8*o**2 - 99\/8*o + 399\/4 = 0?\nAnswer: 14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*f**3 + 19*f**2 + 8 wrt f?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*1 + sqrt(75))*-4 - sqrt(75))*-6.\nAnswer: 270*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200195, 400384, 600573?\nAnswer: 800762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1 - 3 + 21*f + 1.\nAnswer: 21*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -4*d - 5*r, 3*r = -d - 22 + 67. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 13*s**2 + 7*s + 11. Let x be u(-2). Suppose 40 + x = -3*i + 5*q, -2*i - q - 81 = 0. Let n = i + 42. What is the least common multiple of n and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 take away -3526?\nAnswer: 3522.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 884.521ml?\nAnswer: 0.884521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - f + 2 + f + 0*f. Let m(x) = -x - 1. Suppose -116 = -3*p - 113. Calculate p*q(a) + m(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/29))\/((h**(-9\/4)*h)\/h))\/(h**11\/h**(-15)) assuming h is positive.\nAnswer: h**(-2531\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476764 take away 0.03?\nAnswer: 2476763.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18691 + 17606 = -155*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 30*c - 72 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**16*c)*c**(-6)*c*c*(c*c\/c**(-32))\/c*c*c*c*c*c\/(c*c**(-10)\/c) assuming c is positive.\nAnswer: c**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 + 522. Suppose -2*g + 6*m + 82 = 0, 30*g - 33*g + 123 = -m. Calculate the highest common factor of f and g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273*i**3*y - 14461*i**2*y**2 - 2*y**2 - 995929*y + 7 wrt i?\nAnswer: -819*i**2*y - 28922*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.048 + 5.048. Suppose 2 = 4*v + 6. What is the fourth biggest value in y, -0.03, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {d: 7, q: 2, f: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1\/9, -0.1, -2\/7 in decreasing order.\nAnswer: 9, -0.1, -1\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -11. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - (-2 + (2 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 263407880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(154\/(-120)*(-576)\/2112).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 + 5 + 6*f + 0.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -606134\/9 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13298 and 728774?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19234181.\nAnswer: 19234181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6 from 9.77391.\nAnswer: 11.37391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 57084, 9, 4.\nAnswer: 4, 9, 201, 57084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 5) in base 15?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n + 44 - 5*n - 28*n - n - 44.\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 5. Let d(l) = 4 + 2 - 7*l + 7*l - l + 0*l. Give -3*d(b) + 2*y(b).\nAnswer: b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19\/4 of a millisecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 - 4*w**3\/3 - w**2 - 5*w + 3. Let a be v(-4). Suppose 4*i = 6*i + 2*k, -2*k - 5 = -a*i. Solve 6 = o + i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z + 5. Let t be (4\/8)\/((-2)\/32). Let j(d) = -d**2 - 8*d + 1. Let k be j(t). Let i be k - (2 - (-1 + 2)). What is q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/91695241 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1125, -4.\nAnswer: -4, -1, 1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211*d**6*k**2 + 2*d**4*k**3 + 202*d**2*k**3 + 6*d*k**3 wrt d?\nAnswer: 25320*d**3*k**2 + 48*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1303 + -1298. Sort 1, 651, -3, g.\nAnswer: -3, 1, g, 651","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831?\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/19)\/t**(-2\/13))\/(t*t\/(t**(-1)\/t))**(2\/35))\/((t**(2\/7)*t\/(t\/(t*t**(-3))*t))\/((t*t\/(t\/(t*t\/t**(1\/10)))*t)\/t**6)) assuming t is positive.\nAnswer: t**(7509\/17290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 15 - 9)*(-5 + 2*q**4 + 5) + (3*q**2 + q**2 - 2*q**2)*(2*q**2 - 1 + 1).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2\/(4\/23). Let q = p - 8. Suppose 2*s = 0, -k + 0*s + 3*s = -q. Solve -2*f = -5*i + k, 5*f - i - 3 = -2*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 40 + 2 = 4*c, c = 2*b + 14. Find the second derivative of -k - 3*k - 34*k**5 - 10*k**5 + c - 2 wrt k.\nAnswer: -880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4159 - -4176. Solve 4 = -4*s + 4*l, -26*s + 30*s - o = -3*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 5069?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283368 divided by 118?\nAnswer: 10876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -65) + -18 + 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -15*h + 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 3276?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 44 = -4*a - 18*h + 14*h, 10*a + 3*h + 113 = 8*a for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218269 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637 = c + 11*k, 3*c = -648*k + 653*k + 293 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57 - 6*i**3 - 57 - 2*i wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 32. Let q(k) = 4*k + u*k**2 - 22*k**2 - 4 - 2*k. Let v(d) = -d**3 - d + 1. Give -q(z) - 2*v(z).\nAnswer: 2*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g - 6*g**2 - 3*g - 11*g + 13*g**2 - 7*g**2 + 9*g**3.\nAnswer: 9*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13792 + -13793. Which is the third smallest value? (a) -0.02 (b) g (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -52, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6487 is divided by 92?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 2*w + 4*w)*(-2*w**2 + 5*w**2 - 4*w**2) - 3*w**3 + 20*w**3 - 4*w**3 in the form x*w + m*w**3 + f + l*w**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151337 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: Simplify (sqrt(80)*1)\/sqrt(4).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 3*n + 4 + 3 - 3 - 4*n**2. Let m be q(7). Let g = m + 108. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and 16.029?\nAnswer: -544.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2) - (sqrt(2) + 0)*4 - sqrt(2) - (2*sqrt(2)*1)**2) + 5)*3.\nAnswer: -12*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 21*k**2 - 9*k - 9. Let h be b(-22). Let z = -243 - h. Calculate the lowest common multiple of z and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636712, 636709, 636716, 636739, 636784, 636857, 636964, 637111?\nAnswer: 637304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2. Let k(t) = -4*t**2 - 4*t**2 - 5*t**2 - t**2. Calculate k(d(c)).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 22743?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-6) - 4\/(-24) - -1217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + 9. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - ((-6*(sqrt(275) + -1) - sqrt(275)) + sqrt(275) - sqrt(275)))**2 + sqrt(275).\nAnswer: -475*sqrt(11) + 17636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 + -98. Suppose -19 = -4*b - u, 0*u + 4*u + 4 = o. Solve -5*h + b + 2 = -d, 4*d - 4*h + 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19287, 3, 0, 10 in decreasing order.\nAnswer: 10, 3, 0, -19287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**2 + 2*o + 2*o - 9 - o**3 - 2*o**2. Let h be q(10). Let b = h - 24. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4181718?\nAnswer: 2, 3, 349, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 28*g - 25560. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2072*v**2 - 932 - 922 + 1854.\nAnswer: 2072*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4808937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.32 - 0.32. What is the nearest to a in 0.5, -6\/5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from wwbzwkkkwzkwzw.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2526, 20281, 68480, 162351, 317122, 548021, 870276?\nAnswer: 1299115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 304*i**2 - 3*i - 3. Let u be h(-1). Suppose -73 + u = 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5348*t**3 - 5347*t**3 + 10698*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -0.6. Let r(q) = 3*q**3 - 2*q**2 + 1. Let a be r(1). What is the biggest value in 0.3, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.5, 1, -290, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*h - 0*h + 15, -4*h = 0. Suppose -j*t + 23 = v, -5*v + 0*t = -4*t - 115. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*h - 5 + 10 - 24)*(1 + 0 + 0)*(14 - 22 + 14) as k + p*h and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1571 plus 34209?\nAnswer: 34208.8429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3 - a**3 + 6*a - 3 - 4*a**2 + 0*a**3 + 1. Let l be n(-5). Let r be (-879999)\/4 + 1\/l. What is r rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose -r*t + i = -86, 2*i = -4*t + 5*i + 60. Let q(k) = k**3 + 8*k**2 + 8*k - 4. Calculate the remainder when q(-5) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -3ba5a21?\nAnswer: -3ba5a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624 at least as big as 1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(11*n - 104*n**2 + 2*n + 106*n**2).\nAnswer: -4*n**2 - 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prrzlrv. Give prob of sequence rr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2794 and -11\/18.\nAnswer: 25146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1845793.2 months to millennia.\nAnswer: 153.8161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.86, 3, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -402 - -419. Suppose 7*t - 4*t - 80 = -f, 4*f + 4*t = 288. Calculate the greatest common factor of f and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 187*t**6\/40 - 20*t**3 + 4*t**2 + 101. What is the first derivative of r(p) wrt p?\nAnswer: 1683*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(1\/4))\/k*k**(-2)\/k*k*k\/(k\/(k\/(k\/k**0*k)))*k**(-4\/5))\/((k\/((k**(1\/2)\/k)\/k)*k)\/k*k*(k*k**1)\/k*(k*k**1*k)**(1\/14)) assuming k is positive.\nAnswer: k**(-1017\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47880 + 33999 = 21*l. Suppose -39*h - l = -46*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14359*c = 14358*c - 5. Let x(p) = -p + 4. Give x(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m + o - 53 = -2*o, 134 = -11*m - 5*o + 98 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)*-1 + 44\/12?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 - 61*h**4 + 3*h**3 + 5536*h**2 wrt h?\nAnswer: -60*h**2 - 1464*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 22. Let m be r(-8). Let v(h) = h + 18. Let q be v(m). What is the greatest common factor of 108 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s + 8, -4*d + 3*s = -128. Let r(c) = c**2 - 119*c + 1178. Let z be r(11). Let h = d + z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66 minus -117579.8?\nAnswer: 117578.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let d = o - -4. Let k = -0.04 + -2.96. Which is the nearest to d? (a) k (b) 2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:21 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 721 = -4*l - h, -2*h - 10 = 0. Suppose 3*x - l - 489 = -g, -4*x + 1137 = g. List the prime factors of x.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 6. Let a = 74 + z. Calculate the remainder when a is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.7 - -0.7. Let k = -13.88 - s. What is k rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 - ((-30)\/(-4))\/5. Let m(z) = -3*z**2 - z. Give m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2. Let n(d) = 74*d + 4365. Let b be n(-59). Let k(p) = 0*p + 2*p + 1 + 8*p**3 + 6*p**2 - 13*p**3. Give b*k(u) - 6*g(u).\nAnswer: -u**3 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11367, -11376, -11395, -11424?\n\"Answer: -5*d**2 + 6*d - 11368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a factor of 24757148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3, -9, 44, -4, 0 in descending order.\nAnswer: 44, 5, 3, 1, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 17, s: 3}. What is prob of picking 1 m and 2 s?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 + 149. Let i(s) be the second derivative of s**2 - 1\/12*s**j + 0 + s + 0*s**3. Determine i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/120 + j**5\/5 - 19*j**4\/24 - 4*j**3\/3 + 32*j**2 + 1. Let g be t(10). Solve -5*u - 22 = -5*k + k, 0 = g*u + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(35)\/(-2*sqrt(20)) - (4*(3 + sqrt(7)) + 4))**2.\nAnswer: 408*sqrt(7) + 18357\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*g - 43 - 16 = 0, 15 = -3*g. Let t(i) = -5*i**2 - 14 - i**3 + 5*i + n + 12. Determine t(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -40\/9 (c) 2 (d) -616 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1078 - -0.1202. What is the second biggest value in 0.1, -4, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a + 2 = 0. Suppose -a*s + s = 0. What is the units digit of 1*s\/(-1) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -0.129.\nAnswer: 2.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -5*h**3\/3 - 11*h**2 - 2*h. Let w be y(-13). Let v = -107 + w. Which is greater: -1\/27 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - 2 - (-12 - (1 + -7)). Solve r*g + 6*g - 24 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 8, 0, 5 in increasing order.\nAnswer: 0, 5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 6 + u**3 + 4*u - 5*u - 4*u**2. What is the units digit of i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -489 < 17\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4275*h**3*y**3 - 8*h**3*y - 2*h - y**6 - 3*y**2 + 21 wrt y?\nAnswer: 25650*h**3 - 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 278\/7? (a) 1\/7 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccihchccchhccchc. Give prob of picking 1 i and 1 c.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24322 (base 13) in base 6?\nAnswer: 1231341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*t + 9. Let v(y) = -3*y. What is v(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (9 - 5 - -1 - (2 - 3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 12020?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 42*m**2 + 38*m + 31. Determine u(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 1, o: 1, s: 2, h: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -2, -22 in increasing order.\nAnswer: -22, -6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17539 + -4.020048.\nAnswer: -17543.020048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (22\/12 - 2)\/(2\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 - 1 - 2*i**2. Let p(l) = -l. What is x(p(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -3\/22 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 586.\nAnswer: -5, 0, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12001 (base 5) in base 8?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - h. Let l(u) = -5*u**2 - 5*u - 4. Let v = -2127 + 2126. Determine v*l(z) + 6*f(z).\nAnswer: -z**2 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*v - 5*h, -24 = -4*v + h - 3. Suppose 0*l - 4*l + 3*m = -1144, v*m + 1431 = 5*l. List the prime factors of l.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136807779 divided by 5.\nAnswer: 136807779\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1741, -4, 1.6, 4\/5, -3\/4 in descending order.\nAnswer: 1.6, 4\/5, -3\/4, -4, -1741","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192) - (sqrt(192) + -3 + (sqrt(192)*2)**2)).\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - 3*s + 3*s)*(3*s - 6*s + 2*s) + (534*s - 156*s**2 - 534*s)*(0*s**3 + 0*s**3 + 5*s**3).\nAnswer: -779*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 + -9 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-1\/2))\/m)**(-21)*(m*m*m**(-2\/27)\/m*m)\/(m*m**(1\/14)) assuming m is positive.\nAnswer: m**(-5792\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -684, -678, -662, -630, -576, -494, -378, -222?\n\"Answer: s**3 - s**2 + 2*s - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1679*y**2 - 8*y + 40. Let r(u) = 1120*u**2 + 5*u - 25. Give 5*b(g) + 8*r(g).\nAnswer: 565*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2941, -2796, -2655, -2518, -2385?\n\"Answer: -2*z**2 + 151*z - 3090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.23 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 3*i**2 - i)*(-10 - 28*i - 59*i + 10) to m*i + a*i**3 + u + l*i**2 and give a.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -337088 divided by -84272\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/27 + 852\/54. Suppose o = -3*h + 7*h. Suppose -h*b = -3*b - 251. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -67) + (-85 - -38 - -28)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -15 + 3 + 0 - (24 + -25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*j + 25*j. Solve 41*b - 42*b - 3 = j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19978 + 19978.2. What is the third smallest value in z, 3, 5, 278, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30300b (base 12) to base 14\nAnswer: 157d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 16*q**2 + 30*q + 39. What is x(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267\/10 - -53\/2. Let x = -261 + 248.7. Let m = -17.3 - x. What is the third biggest value in f, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**7\/30 + w**6\/24 + 3*w**5\/20 - 5*w**4\/24 - w**3\/3 - 5*w**2. Solve d(t) = 0 for t.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -30509?\nAnswer: -1\/30509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29880 = -13855*k + 13440*k for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(70) - sqrt(70)) - sqrt(70))\/(sqrt(10)*1*1).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 134 - 130 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456883147 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 93230972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5057 + -80911\/16. Let k(v) be the first derivative of 1\/40*v**5 + 1\/8*v + 18 - 1\/12*v**3 - 1\/48*v**6 + s*v**4 - 1\/16*v**2. Factor k(i).\nAnswer: -(i - 1)**3*(i + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 270504 - 770?\nAnswer: 267514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 34. Suppose l*r = 5*b + 8, 0*r = 3*r + 3*b - 33. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + -434?\nAnswer: -46c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 60. Let b be (-84)\/(-39) - (3 - (-222)\/(-78)). What is the third biggest value in 2\/11, 1\/2, b, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + -13302311203?\nAnswer: -13302311310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + (-88)\/24. Let n = 18.62 - 0.62. Let z = n + -16. Which is the nearest to 0? (a) z (b) s (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 643*k - 1 - 654*k to the form u + s*k and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.03 + 0.27. Let n = 1.1 - r. Which is the closest to n? (a) -4 (b) 0 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 322420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 17*g**2 + 2*g - 35. Let o be r(17). Let y be (-4)\/(-10) - (-111)\/(-15). Let z = o - y. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 49. Calculate w(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 4*w**2 - 2. Let c be x(4). Let y be (1 - (-5 + 8))\/1. Let n be 13 - 12 - c\/y. Solve -3*u - 2*u - 10 = n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmhm when four letters picked without replacement from hhpmhmmhhm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 + 3125?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - f + 5*f)*(5 - 4 - 3)*(0 + 3 - 5).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/140*(-14)\/4)\/(6\/9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -60\/43 (b) 0.15 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 9*n + 22. Let t be w(6). What is the third derivative of -t*q**4 + 7*q**2 - 13*q**2 - 9*q**2 - 24*q**2 wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 28*q**2 + 56*q + 39. Let t(k) = -13*k**2 - 28*k - 18. Calculate -6*j(x) - 13*t(x).\nAnswer: x**2 + 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)\/sqrt(4) - ((sqrt(17) + (-1*sqrt(1377) - sqrt(17)))**2 - sqrt(17))) + 1 - 3*(sqrt(612) - (-2 + (sqrt(612) - (sqrt(612) + -1))))*3.\nAnswer: -1385 - 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4795 (base 14) to base 2\nAnswer: 11000010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225*g**3 - 4*g**2 - 42*g + 4 wrt g.\nAnswer: -1350*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 30. Let b(t) = 46*t - 23*t - 32*t + t**2 - 17. What is the units digit of b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(5 + -4) + -2. Differentiate -i*p**3 - 6*p**3 - 2*p + 2 + 2*p with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 15*g**2 - 9*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:14 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:47 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txi when three letters picked without replacement from {i: 12, x: 3, t: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14343\/42*34*(4 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*y - 229*y - 311*y to the form x*y + i and give x.\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*a = -2*a + 24, 4*s + 4*a = -8. Solve 0 = 3*t - 6 + s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**29\/(f\/f**15))\/((f*f**(-14))\/(f*f*f**(-15)*f)))**(24\/11) assuming f is positive.\nAnswer: f**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 425103 divided by 13713\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1350*w**2 - 319*w**2 - 309*w**2 - 287*w**2 - 333*w**2. Let g(u) = -u. Let x(a) = -6*a. Let c(s) = -34*g(s) + 6*x(s). What is c(m(v))?\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 11) to base 3\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 - 27*k**2 + 9*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12549, -12651, -12777, -12939, -13149, -13419?\nAnswer: -13761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*y - y, -2*y = -d. Let m = -76\/9 + 64\/9. What is the second smallest value in d, 0.4, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*x - 217 - 10, 0 = -o - 5*x + 40. Let k be 46\/o - 4\/18. Is k < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1520 and 635455?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -7. Suppose 0 = 5*t - 3*p - 29, 3*p - p = 2*t - 14. Let l = t + r. Is 0 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:09 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -210*x - 269 + 208*x + 284. Let w(z) = -2*z + 15. Calculate 3*a(r) - 2*w(r).\nAnswer: -2*r + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 3:40 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*a + 17924 = 4*m - 689*a, -5*a = 3*m - 13445. Is 70 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255155 (base 6) to base 5.\nAnswer: 1220213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 3 + 2\/2. Differentiate -1 - 9*i**2 + 2 + p - 2 wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -272518600 to the nearest one hundred thousand.\nAnswer: -272500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/88485 and 11\/13880?\nAnswer: 707880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356 is divided by 75.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i**2\/3 + 90101678*i\/3 - 22525420\/3 = 0. Calculate i.\nAnswer: -11262710, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let r(l) = -2*l + 3*l + 2*l. Let g(i) = 5*p(i) - 3*r(i). What is the units digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.53? (a) 21 (b) -1 (c) -4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**3 - 2*b**2 - 3*b. Let h(p) = -13*p**3 - 5*p**2 - 7*p. Calculate 4*h(f) - 10*r(f).\nAnswer: 8*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0.1. Let a = -0.0848093 + 0.1548107. Let x = o + a. Round x to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -79, 2, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7383 is divided by 3676.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 9 - 8)*(-r + 5*r - 5*r)*(-2*r**3 + 4 - 4)*(5*r - 4*r + 2*r).\nAnswer: 60*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 + 7*a**2 + 10*a - 5. What is z(-3)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*j - 6*j**2 - 25*j)*(7*j + 0*j + 15 - 5*j) to the form p*j**2 + h + i*j + b*j**3 and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 92 + 132 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1467*c**2 - 2908*c**2 + 1441*c**2 + 137*c**3.\nAnswer: 137*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27414454 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/36*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 14\/4)*4. Suppose 0*i = 5*i - z. Factor -2\/3 + 1\/3*c**3 - 4\/3*c**i + 5\/3*c.\nAnswer: (c - 2)*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9168 is divided by 704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -122, -146, -166, -182, -194?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from jtcttctttctcc.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477 + 226*c - 80*c - 101*c - 102*c.\nAnswer: -57*c - 477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 6*d + 12. Determine r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 63 = 3*d - 2*m, 2*m = 3*d + 63. Let y = 29 + d. Suppose 2*v - 5 = 3. Calculate the least common multiple of v and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*d + 24, 2*d - 2 = -12. Solve -21*w + a = -7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 181*o**2 - 5*o - 2904. Let r(f) = 185*f**2 - 4*f - 2906. Let n(p) = -5*r(p) + 4*z(p). Differentiate n(w) with respect to w.\nAnswer: -402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247766, -247764, -247754, -247730, -247686?\nAnswer: -247616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3565 + -1837. Calculate the common denominator of (-2)\/8 + 1107\/q and -25\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4\/9 (c) -1226 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16200*f = -16067*f - 42294. Calculate the least common multiple of 424 and f.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*(31\/(-279))\/((-8)\/(-108)*-15). Suppose t - 2\/5*p**2 - 2\/5*p = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-525392)\/(-281460))\/((-2)\/120)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*f - 8, -241846*j + 241843*j - 12 = 3*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 - o**2 + 7. Solve t(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 y when four letters picked without replacement from niyiiiyyiynyynn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 4*y - 1. Let h be c(3). Let n be -3 - -4 - (-1 - h). What is the common denominator of -29\/14 and 1*227\/(-30) - n\/(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.74 greater than or equal to -30073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 71*z**2 - 70*z - 165. What is w(72)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-513)\/2736)\/((-9)\/(-228))*24\/((-3)\/(-1))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632601196 or 632601198?\nAnswer: 632601196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0)**(4\/25)*((n**(-2)*n)\/n*n)**18 assuming n is positive.\nAnswer: n**(-446\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83867736 to the power of 1\/2, to the nearest integer?\nAnswer: 9158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - 3*g**2 + 6*g - 6. Suppose 893 = -16*n + 989. Let c(m) = -6*m**3 - 7*m**2 + 13*m - 13. Give n*c(y) - 13*o(y).\nAnswer: 3*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let y be (-4 + 84\/(-15))\/((-3)\/(-10)). Let s = y - -22. What is the tens digit of z(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89951 and 6739.\nAnswer: 2068873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45548*n**5 + 46*n**2 + 181*n wrt n?\nAnswer: 2732880*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + 1 + (-2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19486703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 3, 6, -2\/17, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -528*u**3 + 60*u**2.\nAnswer: -3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b + 42*b - 19*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*m = -254*m - 23088. What are the prime factors of m?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 42, 11, -42, -117?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2285 and -0.4.\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/2*(-5)\/(-15). Let j = y - 1. Solve 2*v - 4 = 2*l, 2*l = j*v - 14 + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 851*j**3 - 4*j**2 - 4*j. Let i(l) = 1972620*l**3 - 9273*l**2 - 9273*l. What is -4*i(f) + 9273*q(f)?\nAnswer: 843*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -15*f - 115 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -26*a + 19. Is 37 a factor of y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 4*q**2 + 16*q**2 - 5*q**2 - 12*q**2 - 9*q + 34 + 4*q**2 in the form a*q**2 + b*q**3 + l*q**4 + s + k*q and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 25*f**2 - 14*f - 3. Let o be t(-24). Find the common denominator of -24\/35 and (2\/(-35)*1)\/(o\/13041).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 13*s**2 - 15*s + 40. Calculate the least common multiple of 1934 and g(-4).\nAnswer: 19340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let a(x) be the second derivative of 1\/6*x**4 + 0*x**3 + 0 + 0*x**2 + x. Calculate a(q(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269616818?\nAnswer: 2, 8147, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/26 and -155\/17394.\nAnswer: 17394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-20)*925\/(-666)*12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 2 = 5*i. Suppose -60 = -27*c + i*c. Solve -c*g = -3*h - 15, 3*h + 2*h + 7 = -g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f + 6 = 0. Solve -2*u - 2*n = -f, 12 = -4*u + 2*n + 2*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let f be t(-2). Suppose -2*y + 4*b = -6, 0*y - b = f*y - 6. What is the remainder when 10 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -47, 4431, -2 in ascending order.\nAnswer: -47, -2, 0, 4431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = -5*p + j, 0 = 3*p - 2*j - 2. Let i(b) be the first derivative of -1\/2*b**2 + 0*b + p - 1\/3*b**3. Find the second derivative of i(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((-14)\/20 - 0). Suppose 0 = 5*k - 16 - 4. Let i be (-7)\/(14\/k) - -3. Which is greater: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 7. Let v(y) = 2*y**2 + 7*y - 2. Let d be v(-6). Suppose -2*a - d = 2*a. Let x be h(a). Solve 21 = 3*k + 2*k + f, -2*k - 3*f + 11 = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*s**5*z**2 - 12871*s**4*z**3 + 2*s**2*z**2 - 3*s**2 - 2*s - 612*z**3 + 3 wrt s?\nAnswer: 2040*s**2*z**2 - 308904*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119))\/sqrt(7) + 6*(sqrt(17) + 0).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 25*v = 80 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p + 4*n, -5*p + 2*p = 2*n - 11. Suppose -p*u = -2*u. Let a be -1 - 0\/(2 - u). What is the third smallest value in a, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*c = -398, -3*u = -2*u - c - 95. Suppose 5*h + u = s - 255, -5*s + 1734 = h. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459047.4 plus 0.3?\nAnswer: 459047.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.199997 - 0.2. Round v to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:45 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (9 - -2) - -7 - (-3 + 8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1121266060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**2 + 2*p + 3. Let z(d) = 7*d**2 + d + 2. Give 2*k(t) - 3*z(t).\nAnswer: -5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40238 divided by -369?\nAnswer: 40238\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - 4*m**3\/3 - 9*m**2\/2 + 2*m. Let l be c(11). Let u = l + -12. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(220)*1*-2)\/(sqrt(11) + sqrt(44)\/(sqrt(16)\/sqrt(4))) + 2)**2.\nAnswer: -8*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 51*f - 284. Let c be l(-16). What is the highest common divisor of 11730 and c?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/3))**(-2\/19)\/((c*c**(-14)\/c)\/c**(-2\/15)) assuming c is positive.\nAnswer: c**(3902\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwh when four letters picked without replacement from whyyihhhjwyijiyyhviw?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 - 4*v + 43)*(5*v - 3*v - 3*v) + 0*v**2 - 8*v**2 + 3*v**2 in the form s*v**2 + m + i*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/160 + 97\/(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let b(s) be the second derivative of -s**2\/2 - s. Let a(r) = -3*r**2 - 2. Suppose 5*u = 9*u - 8. Let q(h) = u*a(h) - 4*b(h). Calculate y(q(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 - -110102211200?\nAnswer: 110102220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 239628481 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247 by -7.\nAnswer: 247\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 28 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**7\/1008 - 7*n**6\/360 + 11*n**5\/60 + 12*n**2. Let x(y) be the third derivative of q(y). What is the units digit of x(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2 - 2)*(0*b + 0*b - 13 + 2*b).\nAnswer: 2*b**3 - 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16860 + -9758. What are the prime factors of k?\nAnswer: 2, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*c**2 + 35*c**2 - 81 - 75 + 229 - 75 + 34*c**2.\nAnswer: 5*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let q be (-754)\/(-156) - 4\/(-24). Let g(i) be the third derivative of 0*i**4 + 0*i**3 + 0 + 0*i + 4*i**2 + 1\/10*i**q. Give g(u(l)).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 - 2*j**3 - 4*j**3 + (1 + 1 + 0)*(-3 + 1 + 0)*(36*j**3 - 34*j**3 - 189*j**3).\nAnswer: 739*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/((-2)\/(-6)). Let y be (-5)\/(-2) - f\/2. List the prime factors of (18\/y - 2) + 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + (-8)\/12. Suppose h = -0*g - 4*g + 8. Let y be g*((-20)\/(-18) + -1). Which is smaller: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c + 56*c + 8*c to h*c + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-35) - 416\/(-40). Solve 17*n = y - 130 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 11*f = 5*a - 130, 158 = 5*f - 2*a. What is the greatest common divisor of f and 1470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4518, -4976, -5732, -6780, -8114, -9728, -11616?\nAnswer: -13772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4573*g**3*r**3*v**2 + 258*g**3*r*v**2 + g**2*r**2*v**2 - g*r**3*v**2 + r**3*v + 10*r**3 + 14*r**2*v**2 - 10*r**2 wrt g.\nAnswer: 27438*r**3*v**2 + 1548*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2768.20793 to the nearest 10.\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-91)*((-141)\/188 - 15*1\/(-4))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2\/7 - 86\/301)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6 + 9. Let j be 2\/4 + m + 930\/12. Suppose -4*r = -r - j. Calculate the remainder when 188 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10941 * 0.3\nAnswer: 3282.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 2\/11, 0, -10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -3, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 4574491*h**2\/3 + 9148970*h.\nAnswer: h*(h - 4574485)*(h - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 + 15*l**4 + 32*l**3 + 12*l**2 - 16*l.\nAnswer: l*(l + 2)**2*(l + 4)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a + 1. Let p be a\/2 - (-12)\/(-8). What is the tens digit of p + -3 + 4 - -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1861002266 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/(-30) + (210\/20)\/21)*5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -414699 less than -414698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -1, -8, -30, -2, 10, 0 in increasing order.\nAnswer: -30, -8, -2, -1, 0, 10, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 9*w**2 - 7*w - 20. Let r be s(-9). Let b = 98 - r. Suppose 0 = -b*u + 56*u. Are 0 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1384956 and 56963430.\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/3*(-27)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 322, 788, 1432, 2248, 3230?\n\"Answer: -f**3 + 98*f**2 - 5*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 2077*j + 20977. Calculate r(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11982*f**4*i - 143*f**3*i**2 + 4382426*i**2 - 2*i wrt f.\nAnswer: 47928*f**3*i - 429*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**2. Let u(d) = 88*d. Calculate t(u(v)).\nAnswer: 77440*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 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: Let a be 1*(-7 + 4 - -2) + 123. Suppose a = 100*r - 99*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.07601 rounded to one dp?\nAnswer: -23.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8*n - 11 = 0, -5*n = -m - 24 + 15. Sort m, -62, 2, -1, -4 in increasing order.\nAnswer: -62, -4, -1, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.86 - -215.448155.\nAnswer: 213.588155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:16 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7\/3)*(x\/(x\/x**(-18\/7)*x))\/x assuming x is positive.\nAnswer: x**(-145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/((-42)\/12). Let o be (-2)\/(-10) + (-8)\/(-10). Is o at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 136?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*z + 355, -3*r + 166 = 2*z - 48. Let a(d) = -d**3 + 7*d**2 - d + 2. Let m be a(5). Let q = m + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 + 10 = 0. Let r be (x\/(-6))\/(2\/24). Suppose -207000 = -3*k + r*k. What is k rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09519 times 522.8\nAnswer: -49.765332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2374680 and 106655?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 26445182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1 + -22.3134073.\nAnswer: -18.2134073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 - (2 + -1) - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 8. Determine u(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 5. Let t be x(9). Suppose -t*l + 6 = -l. Let h(q) = -2*q**3 - 3*q**2 + 3*q - 2. Let o be h(-3). Calculate the highest common divisor of o and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 12880.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1208 divide 1170910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/2 - 367*b**5\/5 - 157*b**2\/2 + 2*b - 407. Find the second derivative of x(p) wrt p.\nAnswer: -60*p**3 - 4404*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let s(y) = y. Let f(v) = -v**2 - 11*v + 60. Let i be f(-15). Suppose -5*m + 7 = n, 5*m = -i*n + 3*n - 1. What is n*r(l) - 6*s(l)?\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68373.7 kilograms in milligrams?\nAnswer: 68373700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5992 and 90?\nAnswer: 90.5992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10923089 by -13.\nAnswer: -10923089\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214 or 1055?\nAnswer: 1055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-14)\/20))\/(6\/42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l - 4. Let t be y(-5). Suppose 2 = 5*u + 2. Let s(d) = 3*d + u*d - 45 + 45. Calculate s(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 6)*(2*x**3 - 3*x**3 + 2*x**3 + (x + x - 4*x)*(1 - 2*x**2 - 1) + x**3 + 3*x**3 - 3*x**3 + 5*x**3 - 4*x**3 + x**3).\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(5) + -1)*-1 + 2)**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5670713 and -0.5?\nAnswer: -2835356.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 227001 = -226945 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 10:44 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 - 3. Let j = 0.1 + f. Let z = -334 + 332. Which is the third smallest value? (a) -2\/21 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 103*s + 82*s + 32.\nAnswer: 185*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 11*w + 27. Give h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -46*y + 53*y. Calculate the lowest common multiple of y and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 1:47 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 114130 (base 5) to base 7\nAnswer: 15336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -19528361.\nAnswer: 2\/19528361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18244037 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24916.867 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -687172, -1374366, -2061572, -2748796, -3436044, -4123322?\n\"Answer: -b**3 - 687187*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7723449.\nAnswer: 3, 858161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + 14*a + 77. What is the smallest common multiple of 110 and m(-5)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732904 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 470, 672, 862?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 392*i**2 + 1 + 5 - 6 as v*i + k + y*i**2 and give y.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 61731672271 and 0.1.\nAnswer: 61731672271.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + -40?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1744\/112 + -16 + (-1)\/7\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 498?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 248*r**3 + 21*r**2 - 21*r. Let s(o) = -82*o**3 - 6*o**2 + 7*o. What is 2*n(u) + 7*s(u)?\nAnswer: -78*u**3 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 341 + 3?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-12) - ((-30303)\/(-54))\/(-13). Calculate the highest common factor of n and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055518 take away -0.3?\nAnswer: -1055517.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24853, -24880, -24903, -24922, -24937, -24948?\nAnswer: -24955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -74. What is the second biggest value in y, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*u + 6*u**2 - 8*u**2 - 258*u.\nAnswer: -2*u**2 - 338*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 + 7*v**4 + v**4 - 5*v**3 + (-5 + 2 - 2)*(-8*v**4 - 4*v**4 + 8*v**4).\nAnswer: 28*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**2 - 72793820*u - 264947011509620 = 0.\nAnswer: -7279382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/6 - 22*t\/3 - 46\/3 = 0.\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74274, -74267, -74286, -74343, -74450, -74619, -74862, -75191?\nAnswer: -75618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 2 - 2. Let q(s) be the second derivative of -s**4\/3 + 446*s. Determine q(t(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12032 (base 5) to base 4.\nAnswer: 31330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 10:57 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 14*v - 8. Let q(s) = 6 + 3 - 3*s - 4 - 6*s. Give 5*i(f) + 8*q(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -82*f + 5766. What is o(71)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h, -q + 57 = 4*q - h. Suppose t - 1 = -2*j, -2*t + q = -2*j + 3. Let g = -0.06 - 3.94. What is the second smallest value in g, t, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Round 909110000 to the nearest one million.\nAnswer: 909000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/(-159)*-5*2\/(-4).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7545 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: What is the hundreds digit of 2372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -346 - -11?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 102.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(84)*1)\/sqrt(12))**2 + sqrt(7)).\nAnswer: 5*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3435.13 and -316.\nAnswer: 1085501.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*m - 2 = 0, 21 = -2*n + 4*m + 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-464 - -521) + (-25 - -2) + 0\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124727488 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 43\/2 of a millisecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.826 + -0.174. What is the nearest to w in 1\/3, -1, -2\/7, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -23*g**2 + 1\/1260*g**7 + 0 + 1\/360*g**5 + 0*g + 1\/48*g**4 - 1\/18*g**3 - 1\/240*g**6. Factor u(s).\nAnswer: (s - 2)*(s - 1)**2*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13137105437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -42. Let p(y) = -y. Let w be p(-2). Factor 3\/2*m**w - 3\/2*m - 1\/2*m**l + 1\/2.\nAnswer: -(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:59 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.082 + -0.182. Which is the nearest to h? (a) -2\/3 (b) 2\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 10868?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = 2*g. Let y be -55 - 1 - g - -1. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633841361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 241*r - 5674. Calculate f(23).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117584915 is divided by 9580.\nAnswer: 9575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421838967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arh when three letters picked without replacement from hrhkhhkrakhrhamabkk?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*y**2 + 3 + 17 - 34*y**2 - 47*y**2 - 47*y**2 - 20.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312.1084t to grams.\nAnswer: 312108400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6086)\/51 + 2\/(-3). Let g = 359 + s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-5 - -17)) + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4862354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-138)\/(-18)*3 - 1. Let u be o - 14 - (-4)\/(-1). Solve 8*a + u = 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24920, -49876, -74832, -99788, -124744?\nAnswer: -149700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23*-178\nAnswer: 4094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 37*h**2. Let y(n) = 59056*n - 1. Calculate y(j(p)).\nAnswer: 2185072*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 22 = t, -95*m - 9 = -96*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.3. Let s = 547.79 - 545.79. Sort 0, 1\/4, u, s in ascending order.\nAnswer: u, 0, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + 283. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 226, 221, 214?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*t = -75, -6*t = -4*t. Solve 5*n - 5 + x = -5*u, 4*n + 4 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 5*k - 17, -5*g + 5*k - 20835 + 20800 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45374690*a**3*d - 398*a**3 + a**2 + 7*a - 536 wrt d.\nAnswer: -45374690*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cycrryjqqycyyqr. What is prob of sequence rj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/268 and 93\/55636.\nAnswer: 3727612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*m + 698*m + 594*m to the form h*m + l and give h.\nAnswer: 1523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/(5\/200). Let l be (-224)\/70*(-50)\/40. Calculate the greatest common factor of a and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + -739. Let l = a - -858. Let d = -1 - 1. What is the closest to 3 in d, -1\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536, -4250, -14374, -34124, -66716, -115366, -183290, -273704?\nAnswer: -389824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 277 = -3*v, -2*v + 197 = -4*r - 17. Suppose 282*s = 290*s - 144. What is the smallest common multiple of s and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 15*u**2 + 16*u - 21. What is the units digit of s(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128370527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 462? (a) 47 (b) -1\/2 (c) 0 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 + 318*r**2 + 2349*r - 26190 = 0. What is r?\nAnswer: -97, -15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.6901ng to grams.\nAnswer: 0.0000009826901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32819*h + 32810*h + 306 = 0. Which is smaller: h or -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7\/6)\/(h**10\/h))\/(h*(h**4\/h)\/h*h*h)**(-15))**(-1) assuming h is positive.\nAnswer: h**(-389\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 4.2, -171.48?\nAnswer: -171.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390862 is divided by 278141.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 11:42 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - -1202402?\nAnswer: 1203003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 8*p**3 - 8)*(-8*p + 9*p - 4 - 8*p) - 2*p + 2*p + 4*p**4.\nAnswer: -52*p**4 - 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -175*p + 37974. Calculate m(217).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 46*f + 240.\nAnswer: 2*(f + 8)*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -60*x**3 + 5*x**2 + 49*x + 142. What is the lowest common multiple of l(-3) and 6?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 3*c**2 - c**2 + (2*c - 5*c + c)*(2*c + c - c) + 47*c**2 + 11 - 11 + 31 - 21 - 14 - 2*c**2.\nAnswer: 39*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5960252564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 32 - 7) + -7 + 2 + 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/4937413 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27566 is divided by 225?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54525.3ml in litres?\nAnswer: 54.5253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 + (3 - (5 - (3 + -4)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6196534 is divided by 614.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*y + 43631 - 44045 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (74\/2)\/(95\/(-25) - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99768, 99771, 99774, 99777, 99780, 99783?\nAnswer: 99786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) -62\/3 (b) -3.7 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142 - 127 - (-17 + -2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + 130\/35 + 156. What is the highest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*(45\/27)\/((-3)\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 12:12 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57027378 is divided by 2411.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 204 - 324 + 129 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 144*v**2 - 1936*v + 122. Calculate j(129).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77682652 plus 0.13?\nAnswer: 77682652.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from zzefvcfvfvwwz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*(-9)\/(-15). Let d = 6 + -3. Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110001 - -10?\nAnswer: -1010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 154, 173, 138, 31, -166?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 2. Let p be u(-4). Let g(y) = y - 4. Let c be g(6). Suppose c*s + p - 18 = -4*q, -3*s - q = -33. Solve 2*v = -0*i - 4*i + s, 3*v = -12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 - 9*z**2 + 9*z - 1. Let g(t) = -5*t**3 - 10*t**2 + 10*t. Let h(a) = -4*c(a) + 3*g(a). Let o = -12 + 7. Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -51.985. Let n = -4.185 - r. Let a = -6.16 - n. Round a to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, i: 2, q: 4, z: 4}. What is prob of sequence qz?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52433887*g**2*v**2 - 2*g**2 + 47508580*v wrt v.\nAnswer: -104867774*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 45 = 69. Suppose -h = 3*g - z, 3*g - 5*z = -3 - 0. Let f(q) = -q**3 - q**2 + 6*q. Let s(a) = a**2 + a. What is g*s(y) - f(y)?\nAnswer: y**3 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192402 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 6*i**2 + 2*i + 2. Let d be c(5). Suppose 5*v + 4*s + 3 = -31, 3*v + 38 = 2*s. What are the prime factors of 15\/v*d\/6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 4*c**2 - 3*c + 1. Let b = 8 - 5. Suppose -b*z = -2*z - i + 3, 2*z + 4*i - 24 = 0. Does 3 divide g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(96)\/(sqrt(12) - (sqrt(12) + 1*sqrt(48) - sqrt(12))))**2 + (2 + sqrt(8) + sqrt(8) + 1 - (sqrt(8) + (sqrt(8) + -1)*2)).\nAnswer: -2*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) -16 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*m + (0 + 4 - 3)*(0*m - 2*m + m) + 8*m + 10*m - 14*m + (-m + 1 - 1)*(-1 - 1 + 0))*(m + m - 5*m) to the form j + g*m + o*m**2 and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/73, -0.42, -2\/9, 0.\nAnswer: -0.42, -2\/9, 0, 2\/73, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/154700290 and 21\/247520464.\nAnswer: 1237602320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 1 - 2*f**3 + 0*f**3 + 0*f**3 + 3*f**3 - 4*f. Is 10 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104173771*y**3 - 155851738.\nAnswer: 312521313*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547566 divided by 273783?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 - 1167*i**2 - 183210*i - 5397200 = 0 for i.\nAnswer: -103, -40, 1310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3466 bigger than -3460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (0 - (29 - 15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (625\/200)\/((-19)\/(-152)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 35 = 4*u, 16*u - 21*u - 10 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 61, 57, 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 213992\nAnswer: -213991.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 7*g**2 + 7*g**2 + (-g - g + 6*g)*(-g**3 - 2 + 2).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(539)*2)**2*2 + (4 + -1*sqrt(539) + sqrt(539) - (sqrt(539) - -6*(0 + sqrt(539)))**2).\nAnswer: -22093 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008913 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 33*u - 32*u. What is the third biggest value in -6, u, -5\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 20508\/9)*3. Let d = -4854 + y. What are the prime factors of d?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 - -1.57. Let r = -0.16 - -0.56. Which is the closest to n? (a) r (b) -1\/3 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w**2 - 1. Give u(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 + 3 + 3 - 6.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*g**4*k + 9*g**3*k**3 - 56*g*k**2 - g - 6*k**3 wrt g?\nAnswer: 492*g**2*k + 54*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -44*i**3 + 43*i**3 - 5*i + i - 6. Let w be a(-2). Calculate the greatest common divisor of 80 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 18, s: 2}. What is prob of picking 1 s and 3 u?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -43878 (base 14) in base 3?\nAnswer: -22022101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 90 + 12*p - 49 - 32 + 3 to q*p + k and give k.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1395*u**2 + 7*u - 159. Is a(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3436, 6666, 9506, 11770, 13272, 13826, 13246?\nAnswer: 11346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(9)\/sqrt(3)))\/(sqrt(36)\/sqrt(48)) - ((1*sqrt(1470))\/(sqrt(6) - sqrt(24)*-5))**2)*-3.\nAnswer: -12*sqrt(5) + 735\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.9 less than 5?\nAnswer: 212.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 12 = p, 4*p + b - 12 = -3*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 536611.\nAnswer: -4\/536611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2 - 717*n + 48300.\nAnswer: -3*(n + 100)*(4*n - 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c. Let p = -36 - -35. Let x be i(p). Suppose -3 = h + 4*b, b - x*b = 9. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24306339847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -5, -2\/3, 1\/4, 9 in increasing order.\nAnswer: -5, -2\/3, -0.01, 1\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5\/9 + q**4\/3 - 118*q**3\/9 + 214*q**2\/9 + 263*q\/3 + 455\/9 = 0.\nAnswer: -13, -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 618\/5. What is the closest to -0.5 in -1\/6, 1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 - 28*h**2\/5 + 110*h.\nAnswer: -2*h*(h - 11)*(h + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 90389059.4 to the nearest 10000.\nAnswer: 90390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4053 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 9*l**2 - 10*l + 7. Let v be i(-10). Let c be 0*(-1 - 0 - 0). Suppose c = v*t - 3*t. Solve -2*f = n, t = -n - 4*n + 3*f + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3047 is divided by 1158.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 32*d**3 - 2*d**2 + 4*d + 2229. Let v(k) = -30*k**3 + 4*k**2 - 5*k - 2229. Let h(z) = -5*q(z) - 4*v(z). Find the first derivative of h(a) wrt a.\nAnswer: -120*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 40*z - 31*z + 13 - 22 + 9 + 4*z**2 + 6. Let j = 16 + -10. What is the hundreds digit of y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-2*sqrt(833))**2).\nAnswer: -16665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + 23*t**2 + 0*t**2 + t - 2*t**2 - t + (0*t**2 - 2*t**2 + 0*t**2)*(1 - 2 + 3) - t**2 - t**2 + 3*t**2 + 2*t - 2*t - 2*t**2 + 11 - 2*t**2 - 11.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 - 20*t**2 + 76*t + 38. Is a(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2321619446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 68.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 98, -2\/15, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 - 235. Does 12 divide (g\/(-8))\/(4\/192)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -41*w - 701. Determine f(7).\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 10. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 + 8*i**2 + 15*i**2 + (0*i + 0*i + i)*(-4*i - i + 3*i) in the form r + c*i + b*i**2 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930 + 930 + 70*z**3 + z.\nAnswer: 70*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13237 + 17141. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1626 + -1580. Calculate the highest common factor of t and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 16*a**7\/105 - 71*a**5\/30 - 5*a**2 + 3*a. Find the third derivative of d(f) wrt f.\nAnswer: 768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -249, -370, -489?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(0 + sqrt(432)) - ((sqrt(432) + sqrt(432) + sqrt(432) + (-2*sqrt(432) - sqrt(432)))*5 + sqrt(432)) - (1*(sqrt(432) + sqrt(432) + 0) + 5)))**2.\nAnswer: -360*sqrt(3) + 3913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 85. What is the remainder when r is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 217.644651 milliseconds?\nAnswer: 0.0000003598621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143560 by -4.\nAnswer: 35890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2313 - 1351. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 136 = b, 5*a + 0*b = -5*b + 680. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 7.1437.\nAnswer: 6.9437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**8\/15120 - x**7\/180 + 53*x**5\/20 - 30*x**2. Let v(o) be the third derivative of w(o). Factor v(g).\nAnswer: -4*g*(g + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 + 2*l - 3. Let d(p) = 16*p**2 - 7*p + 8. Let k(t) = -2*d(t) - 7*q(t). Let b(g) = 2*g**2 + 3. Calculate 5*b(a) - 3*k(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26618, 26077, 25536, 24995, 24454, 23913?\n\"Answer: -541*s + 27159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40947 smaller than -40945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**5 - 6*q**2 + 2*q - 6. Let g(p) = -p**2 + 4 - 3 + 0 - 2. Let w(a) = 6*g(a) - v(a). Find the second derivative of w(u) wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**3 + 18 + 71*r - 72*r + 7*r**3 to j*r**2 + p*r + z*r**3 + i and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 96*p + 345*p**3 - 16 - 208*p + 101*p + 124. Let j(f) = 173*f**3 - 6*f + 53. Let r(m) = -11*j(m) + 6*w(m). What is the first derivative of r(h) wrt h?\nAnswer: 501*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/((-702)\/13)*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*c + 2*c**2 + 15 - 5 + 2 - 8.\nAnswer: 2*c**2 + 616*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -783\/2 in 4, -0.1, 0.03, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2083*o - 31031 = 988*o - 1292*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -847840\/6997 at most -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, -0.04, -3, -0.02.\nAnswer: -3, -1, -0.04, -0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.145808*0.181\nAnswer: 0.026391248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -809*p + 386 - 199 - 187 in the form a*p + g and give a.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 67*i**2 + 741*i + 40. Calculate t(53).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-140)*5*4\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + v - 5 - v.\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/845)\/(1\/(-2))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*u + 9*u + 418. Suppose -2*h + 2 = -5*w - u, h + w = -7. Sort 1\/4, h, -5, -1\/4.\nAnswer: -5, h, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209387295 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 14. Let k be q(11). Suppose -y + k*y = 0. Solve -20 = -y*f - 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 - 277670*d - 11106736\/5.\nAnswer: -(d + 8)*(d + 1388342)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -1, 2, 5?\n\"Answer: 3*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -4424?\nAnswer: 1327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15349903 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(891) + sqrt(44)\/sqrt(4) + 5 - (5*2*sqrt(1100))**2).\nAnswer: -20*sqrt(11) + 219990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 2 + 2)*(119*r - 4*r**2 - 119*r)*(-85*r - 9*r - 18*r).\nAnswer: 448*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1173523 (base 9) to base 6\nAnswer: 21410250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1226 and 2.5139.\nAnswer: 1228.5139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(-6\/13)*((u**(1\/4)\/u)\/u)**45)**(2\/21) assuming u is positive.\nAnswer: u**(-1363\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35358935?\nAnswer: 5, 23, 349, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(8\/(-80))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -32.1. Let u = -55.8 - -34. Let r = u + d. Round r to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - (-9)\/(54\/20). Solve j*w - a = 2*a - 19, -w = 4*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 124\/16. Suppose -4*i + g*i = -c - 19, -2*c - 6 = 0. Suppose 0 = 4*j + 20, 184*j = 3*q + 186*j + 25. Sort q, -8, i in ascending order.\nAnswer: -8, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 104\/12*-36*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 2)*(72*u + 21*u - 20*u) + 0*u + 4*u - 2*u.\nAnswer: -363*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/2)\/(1\/(-24)). Let g = l - -104. What is the greatest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 134, 250, 406, 614?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18*(-9 + 21 + -13). Solve 8 = 5*h - o - x, 6 = h - o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396))**2)*1 - ((sqrt(1100) + sqrt(1100)*-2 + 5)*5)**2.\nAnswer: -27734 + 2500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/102 - -497\/510. Let p = 11\/5 - z. Let l = 40 + -196\/5. Which is the second biggest value? (a) p (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/90010 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a - 230 = 0. Suppose -a = i - 48. Suppose -v - 3*r + 23 = 0, 5*r + 19 = 5*v + 4. What is the remainder when v is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012256 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2271774311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(3*(-2)\/6). Solve 0*l = j*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25161.6 decades to years.\nAnswer: 251616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 5*f**2 + f + 1. Let q(l) = -l**3 - l**2 + 14*l + 4. Let p be q(-4). Give t(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61509844 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 506 and 27140?\nAnswer: 298540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w**3 - 80*w**2 + 120*w + 357. Calculate l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 204 = -0*w. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-1922.\nAnswer: -172.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 7*w**4\/4 + 11*w**3 + 7*w**2 + 3*w. What is the tens digit of y(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896059 + 2*z**3 - 27*z**3 - 896059.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4 + 20031*k**3 - 60147*k**2 - 180375*k - 100200 = 0.\nAnswer: -6680, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-25) - (-311)\/5. Suppose -3*q = 4*u - y, -5*u + 3*q + 43 + 21 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - q = 7, -71 = y + 386*q - 381*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.47 + -1.368. Let v = p + -0.052. Which is the second biggest value? (a) v (b) -2\/5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -587010, 0.4 in descending order.\nAnswer: 0.4, -4, -587010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -1\/17, 0.3.\nAnswer: -1\/15, -1\/17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7795424 and 208?\nAnswer: 7795424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 7. Let f be o(-2). Let y(a) = a + 6*a + 28 - 41 + 31. Calculate the remainder when 153 is divided by y(f).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/5*450\/135.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5580, -5571, -5542, -5481, -5376, -5215, -4986, -4677?\nAnswer: -4276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9\/2)*i**(-4\/15)*(i*i**(-2\/3)*i*i)\/i**(-1\/3) assuming i is positive.\nAnswer: i**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + -11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(-4)\/z)*z)\/((z\/(z*z**(-1\/5)))\/z)*z**(-6)\/z**(-1\/4))\/(((z*z**(3\/7)\/z)\/z**(-2\/11))\/(z\/(z**(2\/5)*z)*z*z*z*z**1)) assuming z is positive.\nAnswer: z**(9301\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -180, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -g + 55, 3*g + 135 = 4*t - 2*t. Suppose 15*i = 5*i + t. Calculate the remainder when i is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1 - 0 - 1. Let m = -79 - -25. Let b be (0 - m) + (i - 0). Calculate the greatest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 550 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -0.29, -24?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Suppose -10 = -46*m + 496. Suppose -2*z + 4*z - c + 9 = 0, 3*z + c + m = 0. Sort 5, p, z in descending order.\nAnswer: 5, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631394 is divided by 3740?\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6886 + -2929. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21619 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 481\/117 + 18\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 52 = 4*l, 2*l = l + 4*v - 2. Suppose -u + l = u. What is the lowest common multiple of u and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -8, 9, 48, 115, 216, 357, 544?\n\"Answer: q**3 + 2*q**2 - 12*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-315) - (-20)\/198*4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431.3 - 431.292828. What is t rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 457632 and 3503745.\nAnswer: 112119840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + -1. Let a be (2 + (2 - 3))*(-4 + 16). Let y = x + a. Solve -6*r = -y*d - 4*r - 2, 2*r + 8 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 + 5*x. Let b(u) = -u**2 - u**2 - u + 4*u - 2*u**2. Let h(w) = -5*b(w) + 3*l(w). Calculate h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1\/1*-2. Suppose 3*v + 4*d - 102 = -43, 3*v - 4*d = 19. Suppose n*r + v - 35 = 0. What is the smallest common multiple of 5 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1591*u = 4*y - 1594*u - 32, -5*y + 2*u = -47. Solve -y*i = 37*i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n = -26*n - 15, -12996 = -3*c - 2*n. List the prime factors of c.\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -44242 (c) 0.1 (d) -5 (e) 3 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20666 times -0.031?\nAnswer: 0.00640646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2150 and -37\/1775710.\nAnswer: 381777650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 30 = 0. Let d = -49 - -34. Let z = d + k. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 906.4 - 906. Which is the smallest value? (a) 5 (b) 2 (c) 0.5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 328396.\nAnswer: 656792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tum when three letters picked without replacement from {m: 3, p: 1, v: 3, u: 1, t: 2, h: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688891512 rounded to the nearest one million?\nAnswer: 1689000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3259, 3272, 3283, 3292, 3299, 3304?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76.400528 + -76.4. Round l to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l*l\/l**(3\/2))\/l)*l**(1\/12))**(6\/23)*((l**2)**(2\/31))**37 assuming l is positive.\nAnswer: l**(7025\/1426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p. Suppose -2*d + p*d = -34. Let m = 24 + d. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 38*t**2 - 22*t + 131. Let k be v(37). What is the highest common factor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 24 = -7*g. Let i be (g\/(-2) + -2)*(-10)\/(-5). What is the remainder when (-1 - 0 - i\/3)*-39 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200111012 (base 3) in base 5?\nAnswer: -412403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*(-11)\/66\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1271373\/385 at least -3303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r - 639 + 1284 - 642)*(2*r**2 + 0 + 0).\nAnswer: -42*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 4*t**2 + 2*t - 1. Suppose -4*o + 3*m = -3, 2*m = -o + 5*o - 6. Let u(y) = -y**3 + 4*y**2 - 2*y. Let i(c) = o*u(c) + 2*n(c). Calculate i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1227 - 101724?\nAnswer: -103153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 1345*u**2\/4 + 671*u\/2 + 672.\nAnswer: (u - 1344)*(u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247\/21 + 94\/7. Which is the nearest to -1? (a) 5 (b) w (c) -3\/8 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 276*u - 9522.\nAnswer: -2*(u - 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397594.\nAnswer: 2, 19, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41030 by -151.\nAnswer: 41030\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -84140 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-4 - 14) + 16 + (-11 - -5) - -71)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 6*b**2 - 4*b - 3. Suppose 446 - 822 = -8*o - 424. Determine s(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1912 + 4921. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 2196 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 76354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695 a factor of 354883017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)\/sqrt(3))\/((sqrt(36)*-4)\/sqrt(9)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1216) + sqrt(1216) + -2)**2.\nAnswer: 32*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4950 and 1200?\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/33, 0.2, -0.51, -2\/3?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110308 and 38.\nAnswer: 2095852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -80*h - 1325. Calculate v(-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -794*c - 11113. Calculate t(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305146093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144124942?\nAnswer: 2, 13, 293, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, -1.38, 1\/8, -4, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22*17\/(1309\/14). Put -2, 1, g, 5 in increasing order.\nAnswer: -2, 1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + 4*(2*(sqrt(396) + -1 + sqrt(396)) - (4 + (sqrt(396) - (sqrt(396) - (sqrt(396) + 0 + sqrt(396)))))))*5)**2 + 3.\nAnswer: -50400*sqrt(11) + 644631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r - 5*r = 354*r - 85050. What is the least common multiple of r and 297?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -254*q - 6359. Determine b(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lssinssss. Give prob of picking 1 l and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/2 - 621*a**4\/2 + 24183*a**3\/2 + 78165*a**2\/2 = 0. What is a?\nAnswer: -3, 0, 45, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61762533?\nAnswer: 3, 7, 2941073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 135712271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 21370000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + i + 130 = 0, 2*a - 263 = 2*i - i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) -5 (b) -0.13 (c) -38\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027719 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*v + v - 38, t - 20 = 4*v. Suppose 4*u = 7*u - t. Suppose -u*x + 12*x - 720 = 0. 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: What are the prime factors of 1525?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480693*-0.36.\nAnswer: -173049.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -22, -35, -48, -61, -74?\n\"Answer: -13*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 5*i + 2. Suppose 2*k - 7 = 3*k. Suppose -5*p - 13 - 17 = 0. Let j(l) = -3*l**2 - 22 + 6*l + 5*l**2 + 20. Calculate k*s(d) + p*j(d).\nAnswer: 2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let i(y) = -1 + y - 1 - 3 + u*y. Calculate i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 35, 4, 0, 2, -130?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371445, -371459, -371473, -371487?\nAnswer: -371501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6314436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 4140*t**2 - 1064988*t - 3232332.\nAnswer: -4*(t - 519)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -8)*-1 + -8*1. What is the tens digit of 855\/((-3)\/(-3)) - (c + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 1\/4, 1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5618*s**3 - 309*s**2 - 9 wrt s?\nAnswer: -33708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -2*((-13)\/1 - -2) and 164\/9 - 2\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**3))\/k*k**0*(k**(-1\/4)*k*k)**(9\/8)*((k**(1\/3))**46)**(4\/15) assuming k is positive.\nAnswer: k**(1523\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9301*r + 9345*r = 1584. Let a = 423 + -63. Calculate the highest common factor of a and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/3840 + 66569\/34560. What is the common denominator of x and -43\/63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -0.3 (c) -294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 37 = -56*c, -7*c - 538*w = -539*w - 29 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.24085 centuries in millennia?\nAnswer: 6.024085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - h)*(-11 - 4 + 1) - 88*h - 95*h + 1 + 179*h to the form n*h + u and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -5.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*g, -5*i + 0*i + 28 = g. Let j = i + 14. What is the highest common factor of 140 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/4 - 8507*i**4\/4 - 50934*i**3 - 305388*i**2.\nAnswer: -i**2*(i + 12)**2*(i + 8483)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(9\/(-2136)) - (1 + 0). Suppose -j + 81 = -5*u. Let g be 3\/4*28\/u. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4 - 642*p**3 - 705*p**2 + 12900*p = 0.\nAnswer: -5, 0, 4, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 <= -386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2389370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 3*c**3 - 6*c**3 - c**2)*(4*c - 4*c + 5*c)*(-18*c + 53*c + 85*c).\nAnswer: -1800*c**5 - 600*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.12 + -133109025325\nAnswer: -133109025326.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1624)\/(-1176) - 10\/6)\/((-2)\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5*q - 24, -12*q + 9*q + 54 = 3*v. Solve z - 2*t + 27 = 3*t, 0 = z - 4*t + v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010000110001110001110 - 11?\nAnswer: -11010000110001110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*z + 403, 5*z = -q + 2*q - 435. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47332 = 122*v - 45014 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2318 + 115849\/50. Calculate the common denominator of 41\/2 and o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*s + h + 1, -61*s + 89*s - 25*s - 3*h = -51 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 672*2.5\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 147823814924 and 8.06.\nAnswer: 147823814932.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 6. Let h = -24 - j. Suppose 55 = 3*o + h. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + -1 + 1 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**3 - 4*j**2 + 58*j + 16. Is k(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -109*n + 841. Put -3, n, 3, -1 in increasing order.\nAnswer: -3, -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 57. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x - 108. Is w(-29) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-1)*w*(w*w\/w**14*w)\/w*w*w**(-11)*w\/((w\/(w**6\/w))\/w) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + 6*l - 2. Let d(u) = -u**2 + 7*u - 2. Determine -5*d(r) + 6*f(r).\nAnswer: -13*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 165*o - 310.\nAnswer: -5*(o + 2)*(o + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-55489.4\nAnswer: -55489.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/4 + 69801*i**3\/2 - 16234200*i**2 + 1884728096*i = 0.\nAnswer: -140066, 0, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9*2.9972\nAnswer: 26.9748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, x: 3, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggug when four letters picked without replacement from {g: 3, u: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 2 w when four letters picked without replacement from {w: 10, d: 3, z: 2}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119137 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -13) + (10 - (64 - 23)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.321 + -0.121. What is the nearest to -7 in 2\/17, 5, y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*k + 9*k + 5*k)*(5*k - 31 - 25 + 61) as y + j*k**2 + s*k and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 + 112.4. Let k = -612886.57 + 612778.570073. Let g = k + f. What is g rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 8:44 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/475)\/((-114)\/1444).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g)*(3 - 1 + 2 + (3 + 0 + 0)*(-1 - 9 + 3)).\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4161937 - -2650622. Let s = i - -1511317.700046. Let u = s + -2.7. What is u rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 57*y**3 + 3*y**2 - 2*y - 8. Let i be p(5). Let r = 10252 + 430. Let s = r - i. What is s rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*d + 24 = 0, -5*n + 2*d + d + 14 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = -4*p - 24, -3*p = 3*l - 48. Suppose 323 + 371 = 5*r + 2*a, r - 143 = a. Let y = r - 41. Calculate the greatest common divisor of y and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 19*o**2 - 94*o - 20. Let p be y(-23). Let l(k) be the second derivative of -55\/6*k**3 - p*k + 0*k**2 + 0. Let v(m) = -m. Give v(l(n)).\nAnswer: 55*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q + 18*q + 47*q - 116*q + 12*q + 16*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -3\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/(-2)) - (272 - 280)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2\/9, 31, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155492478 + 0.73302?\nAnswer: 155492478.73302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 - -2b2495?\nAnswer: 2b24c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22049\/10 - -2210. Suppose -36 = 5*u - u. Find the common denominator of u and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 441 - -203. Let j = t + -638.43. Round j to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 2*y + 2. Let x(i) = i - 1. Let r(z) = 2*m(z) + 4*x(z). Let v(u) be the second derivative of 5*u**4\/12 + 3*u. Give v(r(g)).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*a**2 - 12*a**2 + 7*a**2 + (3 - 3 - a)*(-2*a - 3*a - 2*a))*(75 - 77 - a**2 + 5*a**2) as b*a**2 + z*a + l*a**3 + v*a**4 + t and give v.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2) + 2))**2*3.\nAnswer: 432*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2011101000101211?\nAnswer: 2011101000101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y - 29. Let q(l) = -2*l - 9. What is the units digit of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6227763.\nAnswer: 3, 17, 19, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -2\/7, -4, -246, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4901 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*o + 42*o + 40*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*q - 4*p, 12*q - 5*p = 15*q - 25. Suppose 0 = -f + q*s + 447, -2*f - 2*s = 2*f - 1722. Is 48 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2782*h + 1399*h + h**2 + 1391*h + 5. Give q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3931923 + -8?\nAnswer: -3931930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = 3*i - 38. Solve -4*l = j + i, -22*j + 3 = -23*j - 3*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7568 and 270688?\nAnswer: 11639584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 44*o**2 + 9*o + 102. Is y(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253844296 + 75*n**3 + 253844296.\nAnswer: 75*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/238761 and -5\/61901.\nAnswer: 1671327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48473, -97180, -145887, -194594?\n\"Answer: -48707*x + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66595.\nAnswer: 5, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*1*-2)**2 + (-3*2*sqrt(2) - (4 + -1 + sqrt(2) - sqrt(2))).\nAnswer: -6*sqrt(2) + 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2485473 (base 9) to base 4.\nAnswer: -11022331101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f + 13*f + 26*f + 2*f**2.\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - (40 - 37 - -93)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1099 + 3919 = -564*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l**2 - 2*l - 1. Let p be i(-1). Let n(q) = 87*q**2 - q + 20*q - 88*q**2 + 3. What are the prime factors of n(p)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -0.1 (c) -396\/281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*q - 161*q + 1377 = 5*r, 3*q = -2*r + 566. Solve 13*d + r - 199 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8104 or -8097?\nAnswer: -8097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 39*h = -1230. Calculate the remainder when h is divided by -4 - (-2 - -1) - -31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*l + 15 = 0, -2*l + 3 = -i + 3*l. Suppose 4*j - 8*j = 0. Suppose 5*c - 8 - 27 = 0. Solve c*b - i*b = j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401 is divided by -6 + 284\/12 - (-1)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 - i**2 + 0*i**2)*(-i**2 - 1 + 1) - 1362*i**4 - 2*i**3 - 1365*i**4 + i + 2690*i**4 in the form n*i**4 + u*i**3 + h + r*i**2 + g*i and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 4, q: 1, f: 3}. Give prob of sequence fqn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -9. Let f be ((-104)\/(-10))\/((-8)\/(-40)). Suppose -183 - f = -i*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**2 + 98*n + 619. Give o(-9).\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15660*g**4 - 23*g**2 - 232*g.\nAnswer: 375840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536 != 515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 6*w - 68 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 5*h - 187. Suppose 64 = 4*r + 4*r. Suppose a = 3*n - h + r, 0 = n + 5*a + 10. Solve n*g = g + 5*t - 16, -5*g + 4*t = 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3023 - 13?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + (145 - 274) + 152.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.25, -5, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 5*w**2 + 2*w + 2. Suppose 44 = -25*b - 81. Give j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4061 + -81219\/20. Let j(a) be the third derivative of 0 - g*a**5 + 3\/8*a**4 + 0*a**3 + 9*a**2 + 0*a. Factor j(m).\nAnswer: -3*m*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*g + 6863 - 1112 = 99*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 + b**4\/4 + 27*b**3\/2 + 57*b**2. Does 14 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156394012.\nAnswer: 2, 39098503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -k. Let n(r) be the second derivative of 0 - 1\/3*r**k + 2*r + r**2. Differentiate n(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 16) to base 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5689, -0.5, 3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(((v**(-9)\/v)\/v)\/v))\/v)\/((v**(-3)\/v)\/v)*(v**(2\/3)\/v*v)**8)**(1\/63) assuming v is positive.\nAnswer: v**(10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -10 - (-1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10637 rounded to the nearest 100?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -881. Let a = x - 437. What are the prime factors of a?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/4620 + f**6\/1980 + f**5\/330 - f**3\/6 + 2*f. Let c(u) be the second derivative of t(u). Factor c(d).\nAnswer: -2*d*(d - 2)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/73810 and -89\/330?\nAnswer: 221430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**5 - 17*b**4 - 42*b. Let w(g) = -3*g**5 - 6*g**4 - 14*g. Let t(m) = 6*r(m) - 17*w(m). What is the second derivative of t(c) wrt c?\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/7, -3\/5, -19 in decreasing order.\nAnswer: 1, 3\/7, -3\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + 4*m**2 + 1. Give h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1 + (-1*sqrt(68) - sqrt(68)) - (1 + -5 + sqrt(68) + 1 + sqrt(68))) + -1 + 2)**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2 + 76075*l - 5300750 = 0. Calculate l.\nAnswer: 70, 15145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 8) to base 9\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7760 divide 2419498160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.76 - 129.76. Let y = 36 + t. Put y, 0.3, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 x when four letters picked without replacement from {k: 5, x: 3, y: 2, l: 6, g: 1}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Let q be (-4)\/6*a\/2. Let h = 0 + q. What is the greatest common divisor of h and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -169451882\nAnswer: 677807528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 = -p, p - 2 = 3*r - 6. Sort 5, -7, -3, r in descending order.\nAnswer: 5, r, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 32 = 4*c, c - 4*l + 238 = 263 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1595?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-48)*(-12)\/(-10))\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 10\/2)\/1. Suppose q*r - 12 = a - 3, 4*a + 6 = 2*r. What is the nearest to 0 in a, 4, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8896140 and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*c - 54 = 62*c + 69*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3 - 501908*f**2 - 1505696*f - 1003792 = 0.\nAnswer: -125474, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1216)*-5.\nAnswer: 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3291 + -3290.99995967. What is q rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19079759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 369*w - 2200. Determine m(6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c374b - -11?\nAnswer: -5c373a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = 5*l. Suppose k = l*k - 163. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6847*c + 68467. What is k(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 9. Let u be x(13). Let t = 42 + -26. What is the greatest common factor of t and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-308)\/(-98)*(-21)\/(-11). Suppose -5*y = 2*b + 31, -2*b - 2*y - 2*y = 26. Sort -14, r, 2, b.\nAnswer: -14, b, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 54 + 0 + 48*c - 5.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0105 and 3.6.\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/90 and 151\/6060?\nAnswer: 18180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1165 + -1196. What is the second smallest value in -2, -2\/9, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26693\/2920 - 6\/365. Find the common denominator of 51\/13 and k.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00154196858 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1, 1\/12, -0.11, -0.06?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u + 42. Calculate w(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18358 and 18069752.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36046862, -36046861, -36046860, -36046859, -36046858, -36046857?\nAnswer: -36046856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -401225976 and 5.\nAnswer: -2006129880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002423076 to six decimal places.\nAnswer: -0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 669826778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*2\/3*-3. Let l be (c - 2)*(-8)\/(-12). Suppose 2 + l = 2*x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 10*x**2 - 7*x - 14. Let k(s) = s**2 - 2*s + 1. Let j be k(4). Let o be q(j). Put 0, 1, o in decreasing order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190184?\nAnswer: 2, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-27) - 21\/(-54)*52. Solve 8*f = 4*f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -389864.240249 + 389864. Let h = -0.24 - c. Round h to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19305511.79 to the nearest 100000.\nAnswer: 19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2029*j**2 + 18*j. Let w(v) = -509*v**2 + 4*v. What is 2*n(r) - 9*w(r)?\nAnswer: 523*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3608?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*c, 2*c = -3*v - 0*c - 5. Let d be v\/(-4) - (-133)\/(-28). Let r(p) = -2180*p. Let n be r(d). What is n rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 - 5*d - 6. Let b(u) be the second derivative of 5*u**4\/12 + 2*u**3\/3 + 5*u**2\/2 + 14*u + 219. Give 5*b(p) + 4*k(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.266157566 to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 1506, 3298, 5786, 8970, 12850?\nAnswer: 17426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-845)\/(-390) + (-1)\/(-3). Which is the third smallest value? (a) t (b) 81 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34638967030+24181\nAnswer: 34638991211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05834809 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 338*n - 657*n - 5 + 329*n + (1 + 2 - 1)*(n + 6*n - 3*n).\nAnswer: 18*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 263 divided by -4\nAnswer: -263\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -220*a**3 - 50*a**2 + 50*a + 50. Let i(g) = -676*g**2 + 334*g**2 + 3*g + 3 - 13*g**3 + 339*g**2. Give -50*i(n) + 3*p(n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c + 19. Calculate j(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:09 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 1880706*n - 35734136.\nAnswer: 2*(n - 19)*(n + 940372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -578.35575423 + 10743?\nAnswer: 10164.64424577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 38 = -4*w + 218, 0 = 3*w - 5*d - 182. Let f = -72 + w. Let j = -11 + 7. Which is the nearest to f? (a) j (b) 0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) 0.1 (c) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 30 = -10*m - 135 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*y**2)*(3*y - 5*y + y) + (y**3 + 7*y**3 - 3*y**3)*(-3 + 0 + 2).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 546*t**3 - 602*t**3 + 0 + 2 + (-3*t**2 - t**2 + 0*t**2)*(-4*t + 4*t + 2*t).\nAnswer: -64*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 + 4 = 0. Suppose 0 = 2*n - 5*n + 18. Let k(d) = 2*d + 39. Let y be k(-18). Solve 2*z - n = f*h - y*z, -3*h = -2*z - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 9, e: 1}. What is prob of sequence epsp?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 18*v**5\/35 - 57*v**4\/14 + 248*v**3\/21 - 108*v**2\/7 + 64*v\/7 - 1593. Solve k(q) = 0.\nAnswer: 2\/3, 1, 2, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 0.4, 4, -0.1, 2.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271 + -270. Suppose 3*k - 6998 = b, b = -a + 2. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*h - 27, -76*h + 19 = -81*h - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76746563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/4 + 5*o**2 - 7*o - 38. Factor a(p).\nAnswer: (p + 14)*(3*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33816 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240755, 481542, 722329, 963116, 1203903?\nAnswer: 1444690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2874.592um to meters.\nAnswer: 0.002874592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37cd23cc + -3?\nAnswer: 37cd23c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 28. List the prime factors of b(14).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7167854, -3 in increasing order.\nAnswer: -7167854, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.3. Suppose 0 = 7*x - 3*x - 168. Let z be 2\/3 - x\/36. Is z equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46956265*v**3 + 5*v**2 + 996341*v - 7 wrt v.\nAnswer: 281737590*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223\/8 + 28. Let j = 829\/1463 + 1\/209. What is the third biggest value in j, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1977 times -0.08\nAnswer: -158.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(570\/165*11)*6)\/(4\/(-1)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569429?\nAnswer: 3, 37, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1092 + -773. Calculate the highest common factor of 87 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*v - 12 = 0, -3*n + 210*v = 212*v + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*c - 6 = -72, -j - 5*c = 0. Solve d - g = -3, 16*g = 5*d + j*g + 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -90. Let a(m) = d*m**2 + 119*m**2 - 236*m**2. Let r(h) = -5*h**2. What is r(a(v))?\nAnswer: -125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/152097 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 11*s**4\/12 - 4*s. Suppose 13952 - 2256 = 17*d. Let z(r) = -d - 3*r + 688. What is b(z(h))?\nAnswer: 99*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -679*c - 5*c**2 - 658*c + 1294*c - 8*c**3 + 1 to the form v*c + k*c**3 + t*c**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -582\nAnswer: 581.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*k**3\/3 + 24*k**2 - 598*k\/3 - 56.\nAnswer: 2*(k - 4)*(k + 7)*(11*k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from clcqdrh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1938 divided by 17.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12360 - -12365. Which is the biggest value? (a) 219 (b) -1 (c) n (d) 1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/3)\/(10\/15). Suppose j*a - 3*l - 1 = 0, -4*l = -2*a - 0*l - 12. Solve 4*f = -a*z, f + 24 = -0*z + 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (165\/(-715) - 9878\/(-2470)) + (-5)\/1. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 17 = -2*t, -113 = 1580296*t - 1580301*t - 11*a for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5 - 151*o**2 + 162*o**2 - 3*o + 1 + 1. Let r(u) = -6*u**2 + 2*u + 1. Give 3*k(g) + 5*r(g).\nAnswer: 3*g**2 + g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0049815 and 3?\nAnswer: -0.0149445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 2 + -6 + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*k - 3 + 27*k + 8*k**2 - 2*k**2 + 3 to q*k**2 + d + p*k and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6223821, -6223788, -6223755, -6223722, -6223689?\nAnswer: -6223656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 4)\/3*30. What is the common denominator of 13*(18\/16 + -1) and q\/8*7\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 5 + 12 + (2 - (15 + -6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3317, 5467, 8583, 12665, 17713, 23727, 30707?\n\"Answer: 483*w**2 + 701*w + 2133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 9*w**2 - 6*w - 16. Let i be g(7). Suppose 22*p = 14*p + i. Suppose p*b = -b. Solve 2*z - 5*t + 7 = -b*t, -2*t = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1826037 and 5130.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*d - 3)*(104 - 265 + 6)*(0 + 1 - 2) to the form v + m*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -159998 in descending order.\nAnswer: 4, -5, -159998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 + -153. Solve 2*v = -c - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 - -193. Let v be ((n - -3) + 30)*13. What is v rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37540948 is divided by 4323.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 892*s - 26758?\nAnswer: 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940 is divided by 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15065 is divided by 15027?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 7*v - 3. Let t = 93 + -86. Let h be i(t). Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 + 9*n**4\/4 - 6*n**3 - 19*n**2 + 26*n. What is the thousands digit of f(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4371, -3998, -3619, -3234, -2843?\n\"Answer: 3*b**2 + 364*b - 4738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 - o - 1. Let r = 5 + -11. Let c(q) = q**3 + 7*q**2 + 5*q - 6. Let v be c(r). Suppose -4*b + 5 + 3 = v. Calculate i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -0.14. Let h = 18 - 20. Let d be 24\/9 - (1 - h). Which is the third smallest value? (a) d (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)*c*c*c**(-1\/3)*c*c\/c**0*c*c**(2\/27))\/((c**(-2\/7))**(2\/17))**42 assuming c is positive.\nAnswer: c**(2977\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 1\/4, 4\/3, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.2. Let b = 2095\/9 + -233. Sort -2, b, x in ascending order.\nAnswer: -2, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd8648a + 5?\nAnswer: dd86490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -270, -620, -1122, -1782, -2606?\nAnswer: -3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 24)*(-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) -0.0566 (c) 5 (d) 3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.001 (b) 5\/6 (c) -2\/5 (d) 189 (e) -5 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1356 - 1299 - (-1 - -34)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:36 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 14. Let a be l(9). Let p(c) = -c**2 - c + 9. Let m be p(-4). Let v be 837\/21 - m\/21. Calculate the highest common divisor of v and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 0.66?\nAnswer: 8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*o - 0*x - 2*x, -5*o - 2*x + 55 = 0. Solve -3*i - o = -2*v - 3, 10 = -3*i + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b - 14. Let y be x(-11). Let r = y - -106. Suppose 0 = o + 5*l + 4, -5*o - r*l - 2 = -4*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -2. Suppose 4*j = -5*t + 3, 2*t + 9 = -7*j + u*j. Solve 2*c = -t*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/9*42\/(-5). Let k = -9283 - -9535. Calculate the greatest common factor of k and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 28. Determine j(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.4, 3\/7, 0, 8, -51\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 + 3.190832. Let f = 1.399 - 1.39. Let r = l + f. What is r rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.061 + -0.939. Let t = -8 + 7.97. Which is the nearest to -1? (a) t (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -0.005630860024?\nAnswer: 5.994369139976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -16. Suppose -d + 5*r = 2*r - 10, -2*d = 3*r + a. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.29182452 to three dps.\nAnswer: 1.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/174 + 320\/(-435).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -493\/3 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 8. Suppose 5*w + b - 45 = -0*w, 36 = 4*w + 4*b. Suppose -w - n = -4*v. Solve v*z = 3*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -33. Let c = g - 23. Suppose o + 0*o + p = 6, -o = 4*p - 18. What is the least common multiple of c and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**2 + 2*d**3 + 2*d**3 - 1 + 5*d**3 + 11*d**2 to the form l*d**3 + y*d + f + o*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -0.2.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16332112 (base 7) to base 9.\nAnswer: -2880047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 + d - 2. Let o be r(5). Let y(b) be the first derivative of 1\/3*b**o - 2 + 0*b + 0*b**2. Let t(j) = j. What is t(y(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.099, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -7945297179?\nAnswer: -7945297179.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 1835*m - 9236. Give o(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.87 - 0.13. Let m = -0.154 + -0.046. Which is the second biggest value? (a) m (b) 8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*s, -5*d - 18 + 59 = -4*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 227 - 22. Let l = 202 - r. Which is the nearest to -0.2? (a) -0.4 (b) l (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-4 - (1 + -4)). Sort p, 5, -5 in ascending order.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411046?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 6 + -8 - -12) + 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 64 = -4*d. Let z be d\/(-20)*-13*-50. Let 245*k**4 - 39*k - 15*k + 14*k - z*k**2 - 350*k**3 = 0. Calculate k.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16257275)\/(-36) + 4\/(-18) + 9\/36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8748.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -429.5413 to the nearest ten.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217 - -32. Let d = 64 - a. Let g = 298 + d. Calculate the remainder when g is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 24426?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1664 and 8?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 - 3)) + 28 + (-15024)\/480?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545614 is divided by 62.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 6 - 5)*(0 + 5 - 4) + 0 + 0 - 1)*(-4 - 2 + 4)*(-15*i + 32*i + 9 - 13*i) to r*i + o and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 934.08 - 933. Let a = -1.07993094 + z. What is a rounded to 6 dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -524252.3 * -13.\nAnswer: 6815279.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667442114 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*o - 1618, -4*t = -o - 0*t + 395. Is 31 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 u when three letters picked without replacement from fffruuffqufffff?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a + 3*a - 10*a - 2*a as p + k*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 322 = -12*d - 42 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 0.8, -0.06 in decreasing order.\nAnswer: 0.8, -0.06, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, t: 10}. What is prob of picking 3 t?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*i + 11*i + 324. Solve 0 = -8*v + i*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110684919?\nAnswer: 3, 36894973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 366836627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4901458 to three decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 78*x**2 - 79*x - 8. Calculate f(-79).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26826653 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-60)*20\/(-15)*1218\/364 and -67\/15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -482*j - 83. Let s be p(-3). Suppose 5*z + 4*h - s = 0, -3*h + 819 = 6*z - 3*z. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 + 4 = 0. Suppose 4*f - 5*d = w*f - 17, 1 = d. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(2) - (-5 + sqrt(2) + -2)) + sqrt(12)\/(sqrt(36)\/sqrt(6))))**2.\nAnswer: 350*sqrt(2) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.91569 micrometers in kilometers?\nAnswer: 0.00000002191569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246004, 246000, 245996, 245992, 245988, 245984?\nAnswer: 245980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-2\/107))**(-2\/31)*(c**(-6)*c)\/c**0*(c**(-1)*c)**(-2\/5) assuming c is positive.\nAnswer: c**(-16589\/3317)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-828)\/(-54) + -14)\/((-20)\/(-9))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Suppose 2*y = a*y + 10. Suppose -u + 3*u + 6 = 0. Sort y, 3, u.\nAnswer: y, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 1 - 1. Let a = 30 - -20. Does 25 divide (0 - a)\/(0 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12026.800002 + -12027. Let n = -5 + 5.2. Let g = l + n. Round g to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45919279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 18 (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + (sqrt(11) + -1)**2 - sqrt(44)*1).\nAnswer: -4*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {c: 4, t: 2, j: 1, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 + 1088*c = 0. What is c?\nAnswer: 0, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*f + 11. Suppose z - 4*k + k - 7 = 0, -2*z - 2*k = -f. What is the smallest common multiple of (6\/(-7))\/(18\/(-84)) and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 - 2*t + 2. Let n be s(-2). Let z be (-6)\/(-9) + 13\/(-15). What is the nearest to 2\/7 in z, -2, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97, -89, -81, -73, -65, -57?\n\"Answer: 8*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22103 (base 6) to base 7\nAnswer: -11634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 662308698 to the nearest integer?\nAnswer: 25735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 5 = 11. Let r be 2\/(-11) - 33530\/(-858). Let o = r - 116\/3. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -20432?\nAnswer: 20432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5\/7 + 489*b**4\/7 + 369*b**3 - 10653*b**2\/7 + 11616*b\/7 - 576 = 0.\nAnswer: -8, 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*o + 6501 + 4496 = 0, -5*o - 35 = 0. Is u a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuhpopcz. Give prob of sequence zhz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k**3 - 29*k**3 + 20*k**3.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 125*k**4 + 8 + 2*k**3 - 6 - 6 to g*k**3 + s*k**2 + d + l*k**4 + f*k and give l.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 30678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 379, 771, 1167, 1567, 1971?\n\"Answer: 2*x**2 + 386*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 18*n + 167. Let j be k(-9). Calculate the highest common factor of j and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/3 + 2080*o**2\/3 - 360052*o\/3 + 6916472.\nAnswer: -4*(o - 186)*(o - 167)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*w + 401*w + 1087 + 838 = 0 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3 - 1)*6. Let u be 15\/a*(-144)\/(-20). Suppose d - 3*d + 36 = 0. What is the highest common factor of d and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, d: 9}. What is prob of picking 2 n and 2 d?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(76)*-1 - (-6*sqrt(19)*4 - (sqrt(19) + (-4*sqrt(152) - sqrt(152) - sqrt(152))\/sqrt(8))))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29556637307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -15. Let y = v - -31. Let l be -1*(y\/(-2) + 2). What is the greatest common factor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 - 53*l**2 + 7*l + 10. What is g(-7)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 75*o - 3. Let y(w) = 2*w**2 - 151*w - 5. Determine -10*p(m) + 6*y(m).\nAnswer: 2*m**2 - 156*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/120 + 13*h**5\/60 + 163*h**4\/12 + 52*h**3 - 123*h**2 + 3*h. Factor k(v).\nAnswer: -(v - 26)*(v + 1)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 7. Let w(g) = -10*g - 8. Let x(v) = -7*v - 5. Let b(n) = -5*w(n) + 7*x(n). Calculate 7*b(r) - 5*f(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 132852703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3 - 136\/(-44)). Let n = 26 + m. Suppose h - 3*h = 3*i + n, 0 = 4*h + 4*i + 20. Is h at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + b + 15. Calculate c(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**3 + 2*g - 26 - 32*g**2 + 6*g**3 + 26 in the form n*g + x*g**3 + s + l*g**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*z + 84 - 56, -5*z - 5*p + 50 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36050 by -1.\nAnswer: 36050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 190*r**2 - 194*r**2 - 606*r + 302*r + 304*r. Let m(c) = -3*c - 27*c - 7*c. Determine k(m(v)).\nAnswer: -5476*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 227*j - 912. Let s be g(4). Let f(i) = -2*i**2 - 2*i - 5. Let x(p) = -4*p**2 - 5*p - 11. What is s*x(v) + 9*f(v)?\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 11 = 3*t + 3, 5*t - p - 2 = 0. Suppose -13*v + v + 384 = t. Let j = 379 - 235. What is the highest common divisor of j and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 1045533.\nAnswer: -35\/348511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)*l*l\/((l*(l**(-2\/9)\/l*l)\/l)\/l))\/(l**(-1)\/l)**(3\/28))\/((l\/(l*(l\/l**0)\/l*l))**(-1\/2))**(-19) assuming l is positive.\nAnswer: l**(1651\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -95. What is the lowest common multiple of 22 and 10157\/35 - (v\/(-3))\/10?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -51. Let y be (6 - 2) + n - -2. Solve -8 = -4*p, -y*b = p + p - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from bbbbiijnninbivi.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*5) + -1 - ((sqrt(19) - (-2 + sqrt(19)))*5 + sqrt(19) + 4*(sqrt(304))**2).\nAnswer: -1227 - 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 21 + 4 = 3*r, 3*r - 5 = 5*z. Let y(c) = 3*c - 7. Let f(a) be the third derivative of a**4\/6 - 11*a**3\/6 + 9*a**2. What is r*f(i) - 8*y(i)?\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3903451 divided by -719.\nAnswer: 5429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -742573 - -0.61\nAnswer: -742572.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -68*a. Let u be l(-4). Suppose 3*v - v = -u. What is the units digit of v\/(-22) + (-2)\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2581 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8599, 17398, 26415, 35650, 45103?\nAnswer: 54774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 237638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/3)\/(2\/6). Which is the biggest value? (a) -2\/5 (b) -0.02 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/43 (b) 0.4 (c) 141 (d) 1.65 (e) 2 (f) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23316 + 69412 = 2881*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 7*o**2 - 18*o - 5. Let r be p(7). Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 + -390. Let j be -1*(-1 + 0 + 0). Let o be j*2 + z\/119. What is the third smallest value in 9, o, -3\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435536.8ml in litres?\nAnswer: 435.5368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from ddydydddyydydd?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 198*b**3 - 4*b**2 - 2*b + 2. Let n be j(-2). Let s = -507 - n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-528)\/12)\/(8\/(-12)*(-36)\/(-6))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4 + 2. Suppose n*z - 10 = 8. Suppose z*x - 169 = 257. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126431 and 717?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/77 and -86\/774081?\nAnswer: 774081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2501 - 189*s**2 + 6*s**2 + 2509 - 5010.\nAnswer: -183*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by -5\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.732 + -14.132. Which is the nearest to -1\/2? (a) -1\/2 (b) o (c) -0.144 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 33?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100 and -12?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*i = -4, -f - 21*i = -16*i + 5. Let b be 8\/(-14) + (-594)\/(-231). Solve -5*a + 5 = 5*m, a + b + 0 = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 174, -1 in ascending order.\nAnswer: -5, -1, 0.1, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose 3*d = 8*d - 4*u + 27, 5*u + 10 = 0. Let g be (-4 - d) + (-14)\/6. Which is the nearest to g? (a) y (b) -4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 47 - 53. Let h = f + 15. Let a(b) = -5*b - 19. Let t be a(-3). Put -17, t, h in descending order.\nAnswer: t, h, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3212165000?\nAnswer: 2, 5, 11, 58403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -50. Let l = v + -11. Let w = -0.3 - 0.2. What is the nearest to 3 in w, l, -1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/5)\/q*q**(-16) assuming q is positive.\nAnswer: q**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c - 15. Let z(y) = -y**3 + 5*y**2 - 3*y - 4. Let n be z(3). Let m(o) = 11*o + 23. Let d(r) = n*m(r) + 8*p(r). Calculate d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -4.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1524952181 to 3 dps.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1170 (base 15) to base 8.\nAnswer: -7171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5038613*g**3*u + 2*g**3 + 143*g**2*u - g**2 + 80*g*u + g - 2*u - 106 wrt g.\nAnswer: -30231678*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1996380 and 480.\nAnswer: 15971040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.8437 times 0.156\nAnswer: -0.1316172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 30*b - 35*b + 5*i, -5*i - 11 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*a + 3 = 8*a - 5*a, -44*h + 2*a = -a - 179 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 3) + (3 - 7 - -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6230)\/(-20) - 2\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 552712.937 to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 54123.8841 to the nearest 10.\nAnswer: 54120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7776 and -22.1.\nAnswer: -7798.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is aa6895 (base 13) in base 16?\nAnswer: 3d3c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**4*z*z*z**(1\/33)*z)\/(z**(-1\/14)*z\/z**(1\/6)) assuming z is positive.\nAnswer: z**(1679\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16394713 times -0.5\nAnswer: -8197356.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/60 - 9*l**4\/8 - 15*l**3 + 50*l**2 - 2*l. Calculate the remainder when 122 is divided by s(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 7*y - 5. What is f(8)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 2\/5 - 9\/((-225)\/290)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/333 and 89\/4296.\nAnswer: 476856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -281.16 rounded to 0 dps?\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 18*n**3 - 6*n**2 - 4*n + 3. Let g(c) = c**3 + c**2 + 2*c - 1. Let o(u) = 3*g(u) + m(u). What are the prime factors of o(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1651 = -5*g + q, 0 = -5*q + 22 - 2. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(37*u**2 - 35*u**2 + 8*u - 2*u).\nAnswer: -4*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 83202326 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 3*m - 3. Let t = 20 + -16. Let c(w) = -w**2 - w + 1. Determine t*n(i) + 11*c(i).\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1192155 and 6768?\nAnswer: 57223440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -346400 or -346286?\nAnswer: -346286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 4*r - 68. Determine m(-15).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 59, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 415594593 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109867 divided by -34.\nAnswer: -109867\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(-5*-6*-2*sqrt(171))\/(2*sqrt(36)\/sqrt(4) - sqrt(18)\/sqrt(8)))**2.\nAnswer: 6840000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 44 = -2*m, 2*y - 3*y - 41 = 2*m. Let z = m + 23. Suppose -z*x = -o - 32, -3*x + 0*x + 3*o + 15 = 0. Solve -x = -3*g - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = 0, 4*d + 1 = x - 6*x. Let h = -0.3 - 0.7. Let u be 2\/(-5) + (-12)\/(-15). Which is the closest to d? (a) -3 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385?\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 4.1. Let s = 6 - 5. Which is the smallest value? (a) -0.5 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from meetvft.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2025 + 6525. Is y a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmooomoo. What is prob of sequence mmm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1497*z - 456*z - 148*z + 350*z to s + m*z and give m.\nAnswer: -1751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -723.\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:14 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.6027ml in litres?\nAnswer: 0.5706027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6511 - 5?\nAnswer: -6516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27864 + -27864.1. Which is the third smallest value? (a) q (b) 4 (c) 51 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 + 2070684*v + 357311018988 = 0 for v.\nAnswer: -345114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 5. Suppose -z*w + w = -84. Suppose 8 = 5*m - 47. What is the remainder when w is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894652?\nAnswer: 2, 11, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 589 - -802. Suppose -5*p + 2*i + f + 4204 = 0, 0 = p - 5*i - 1119. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4 + (-21)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b - 176 + 41 = 185 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -49. Suppose -150*s = -152*s + x. Solve 4*n - 8 = w, 1 = n - s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*f**2 - 299*f**2 - 13 - 211*f**2 + 13.\nAnswer: -104*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -17*f**2\/2 - 6*f + 4. Let c(s) = 407*s + 143. Let r(t) = 6*c(t) + 143*v(t). Is 11 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236499864 to the power of 1\/3, to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 12\/(-7))*(-35)\/5. Is -6 + 11\/n - (-506)\/4 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 972.4462km?\nAnswer: 972446200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -196.064 - -4\nAnswer: -192.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 33*s + 33*s - 2*s**3 + 32*s**2 as w + j*s**3 + b*s + m*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 30 = 16*s. Suppose 2*v = -3*z + 19, -s*v = -4*z - 5 + 2. Solve -z*c + c + 12 = -2*w, 5*w + 24 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-22))\/((-7)\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320 - -13233?\nAnswer: 22213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 47*v - 414 = i + 261, 5*i - 5*v + 93 = 318 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3581, -0.7, 12 in decreasing order.\nAnswer: 3581, 12, 1\/4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 39*t + 338. Let d be m(13). Let q(j) be the first derivative of 5\/2*j**4 + d*j**2 + 10 + 7*j + 0*j**3. Differentiate q(y) with respect to y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3628460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*n + q + 2, -3*n = -2*q - 1. Suppose 0 = 2*u + 3*k + n, -2*k + 7 = -4*u + 29. Calculate the remainder when 10\/(-25) + 64\/10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x - 42. Calculate p(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 2. Let d(o) = -o + 7. Let v be d(7). Let j be h(v). Let c(p) = -3*p - 3. What is the units digit of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5\/10 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474422935 is divided by 1383.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 u when four letters picked without replacement from {u: 3, j: 5, d: 5, g: 5, s: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 23210 + 8035. Is 53 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722449049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 0.68 (c) -6 (d) -5\/6 (e) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 - 6739*u\/6 + 37995.\nAnswer: (u - 6705)*(u - 34)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22738027 and 685.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*h - 2*h - 471, -h + 2*c = 99. What is the units digit of (h\/28)\/((-3)\/156)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 919, -3, -4, -27, 6, 3, 2 in descending order.\nAnswer: 919, 6, 3, 2, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + sqrt(135) + (sqrt(135) - sqrt(135)*-1))\/sqrt(9))\/(sqrt(5) + sqrt(45)*2) - (-6*-2*sqrt(243) - ((-1 + sqrt(243))**2 + 4)).\nAnswer: -878*sqrt(3)\/7 + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -749 take away 0.3?\nAnswer: -749.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:02 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + 1 + 73 - (-1 + (6 - -5))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:00 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515111 is divided by 5538.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 18*j**5 + 700*j**4 - 9798*j**3 + 10080*j**2 - 1000*j = 0.\nAnswer: -50, 0, 1\/9, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -268, -406, -672, -1132, -1852, -2898?\n\"Answer: -11*b**3 + 2*b**2 - 67*b - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11.5379, 3.22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6065 divided by -4.\nAnswer: 6065\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11690909?\nAnswer: 19, 59, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239735*x - 139*x**2 - 239735*x - 155*x**2.\nAnswer: -294*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*j + j. Let s(i) = 5*i**2 + 27*i + 44. Calculate the remainder when j is divided by s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6061 divided by 246\nAnswer: 6061\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1464)\/4880 + (-14)\/(-30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Solve 0 = -m*g + g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/24)\/((-6)\/(-27)). Let m = 1299.98 + -1300. Which is the closest to v? (a) 0.3 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36\/10*(-11305)\/(-38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*v**3 - 1855*v**2 + 7*v + 5496 wrt v.\nAnswer: -114*v - 3710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3 + 1. Let q(d) = -d**2 - 5*d - 5. Let r be q(-4). Let p = 0 - 0. Sort h, r, p in increasing order.\nAnswer: h, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 719, 1127, 1537, 1949, 2363?\n\"Answer: c**2 + 405*c + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -30\/2768467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 7:31 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + -15 + (-25 - -11) + -19?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = 5*v - 35, -v = -2*t - 1. Solve 0*k - 3*k = -3*j, 10 = v*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-400)\/30*78\/(-10).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let h(p) = -p**3 + p**2 - 1. Suppose -2*d + 6 = -0*d. Let m(c) = -1 + 2 + 769*c**d - 772*c**3 - 3 + 2*c**2. Determine i*m(b) + 2*h(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**3 + 16*x**2 + 2*x.\nAnswer: 2*x*(x + 1)*(7*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = 4*w + 3063 - 4274, 7*c = -w + 766 for c.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t + 4*t + 2*t)*(0*t + 0*t - 3*t**2) + 8 - 8 - 5*t**3)*(-212*t + 106*t + 107*t).\nAnswer: -14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(2 + 4 + (-4 + sqrt(18) + sqrt(18) - sqrt(18))))**2.\nAnswer: 192*sqrt(2) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 12*q - 114. Let y be j(-6). Let s(p) = 2*p**2 - 10*p + 7. Let k(x) = 3*x**2 - 19*x + 14. Let w(d) = 3*k(d) - 5*s(d). What is w(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24000*t - 21315*t + 14740*t - 122407*t - 93214*t.\nAnswer: -198196*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 686 - 1891. Let z = 30129\/25 + a. Let c = z - -11\/25. Is 3\/8 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 8. Let c = p - -3.9. Let q = c + 0.099972. What is q rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 - 7) + (-1 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 - 7*s + 2. Let a(n) = -n**2 + n. Give -6*a(f) - v(f).\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*l - 2256095 = 0, -15*o - 1692100 = -18*o + 2*l. What is o rounded to the nearest one thousand?\nAnswer: 564000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17609*(180\/(-16) - 5\/(-20)). Suppose 84*l - 95*l = -n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*3 - sqrt(242))*-2 + sqrt(242))*-5.\nAnswer: 165*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 equal to -58812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 22694452?\nAnswer: -22694451.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (256 - 2397 - 2263)*(1 - s - 1) to the form u + m*s and give m.\nAnswer: 4404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 - 85*s**4 - 3775*s**3 - 31515*s**2 - 61830*s + 97200 = 0. What is s?\nAnswer: -9, -6, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**7\/1995 - x**6\/380 + x**5\/190 - x**4\/228 - 13*x**2. Suppose i(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5559, 5558, 5557, 5556, 5555?\n\"Answer: -i + 5560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 258\/25 (b) -5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 45*k**3 - 243*k**2 - 347*k - 150.\nAnswer: (k - 50)*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62174, -248842, -559960, -995534, -1555570, -2240074, -3049052?\nAnswer: -3982510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2464*v + 2530*v + 2376 = 0 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -577*k**3*y - 11*k**3 - 34804*k**2 - 2*y wrt k?\nAnswer: -3462*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:22 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + -2 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13911693 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w. Suppose -5*g = 44 + 6. Let l be g\/(-25) - (-56)\/10. Let y(m) = l*m - 10*m + 3*m. What is k(y(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 162269500 a multiple of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26480 and 1530875.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46649627\/1436857880 + -2\/536141. Find the common denominator of b and 145\/1608.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-34)\/g)**(14\/13) assuming g is positive.\nAnswer: g**(-490\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -357, -1328, -3257, -6468?\n\"Answer: -54*s**3 + 7*s**2 + 20*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4577 - 6094 - 3744 - 6695 + 3881)*(-4*k - 2*k + 5*k).\nAnswer: 17229*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215931 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 5*h + 4*h**2 + 8*h**2 - 3*h to g*h**3 + l + d*h**2 + b*h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = -20, 3*d - 14 = -h. Let v be (0 - 3)*(-118)\/d. Calculate the greatest common divisor of 531 and v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -123?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 8*m. Let q be 23\/2 + 2\/4. Solve m = -3*i - 0*i + q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*b**3*w**2 + 56*b**3 - b**2*w**2 + 2*b**2 wrt w.\nAnswer: 100*b**3*w - 2*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 58*g**2 - 12*g. Let h(b) = -1450*b**2. What is p(h(i))?\nAnswer: 121945000*i**4 + 17400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 328 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -2)*(-1)\/(-1). Let p = -1227 + 680. Let r = -527 - p. Solve z = -3*z - i*u + r, -18 = z - 5*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjex when four letters picked without replacement from xejyeeyjxejje?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 99 (b) 33\/499 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 21*z + 0*z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 7*g**2 + 5*g - 2. Let f be a(5). Suppose -c + 5*u + 138 = 0, -95 - f = -2*c - 4*u. Suppose 0 = -t - 2*t + c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. Suppose -5*g + 5 + 0 = 0, m = p - 3*g. Suppose 5*t - p = -2. Solve 2*o + 13 = -5*k - t, 2*o - 5*k = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p**3 - 2*p**2 - 3*p - 2. Let a be (2\/8)\/((-17)\/68). Determine v(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-796*b**3 - 317*b**3 + 128*b**3)*(-1 + 1 - 2*b) in the form d*b + c*b**3 + u*b**4 + a*b**2 + y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/102680 and -151\/306.\nAnswer: 924120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 226, 459, 686, 907?\n\"Answer: -3*p**2 + 242*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 44*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 324804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5248 and 5632?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/4 + 228*r**3 - 25992*r**2 + 1316928*r - 25021632 = 0. What is r?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*v**4 + 95 - 95 + (2*v**3 - 5 + 5)*(3 - 3 - 2*v) + (2*v - v**4 - 2*v)*(-6 + 5 + 3) to the form c*v**3 + u*v**4 + p*v**2 + b + t*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.000000077 - -2. What is c rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -472 - -530. Suppose r = 2*a - 66. Let t = 1 - -12. What is the remainder when a is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 71. Let w(x) = -x. Give n(z) - 4*w(z).\nAnswer: 3*z + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 27. Which is the third smallest value? (a) -3 (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22678248623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6129 - -0.156.\nAnswer: 0.7689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28666483.01 + 0.5?\nAnswer: -28666482.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11810, -23621, -35432, -47243, -59054, -70865?\nAnswer: -82676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*a*y + 633*a + 18*y - 10492 wrt a.\nAnswer: 171*y + 633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1354967 centuries?\nAnswer: 13.54967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 141936 + 141936.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -3*i**6\/40 + 7*i**5\/15 + 12*i**2. Find the third derivative of o(a) wrt a.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -45*l**2 - 120*l + 4557. Let q(b) = -24*b**2 + b - 1. Let v(n) = 2*q(n) - z(n). Find the first derivative of v(m) wrt m.\nAnswer: -6*m + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 58 = 2*d. Let y be ((-1)\/(-1))\/((-2)\/(-40)). Let r = y - 12. What is the remainder when d is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbtb. What is prob of sequence bt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 5.09. Let d be (-4)\/(-18) - (-12)\/108. Which is the closest to 2? (a) d (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 6*q - 2*q - 3*x, 175*q - 178*q - 5*x - 63 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 divided by -22?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159*a**3*k**4 + 256*a**3 wrt k?\nAnswer: 636*a**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102660, 102599, 102538, 102477?\nAnswer: 102416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from mssoaasaepaa.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 3:34 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 17. Let o be (-4 - -5)\/(-2 - -1). Let r be ((-2)\/((-6)\/o))\/1. Which is the third smallest value? (a) 4 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 9*g**2 - 20*g + 25. Give o(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -441\/8 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1011295 and 1932085.\nAnswer: 3935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 + 203. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/8766 and -89\/49606794?\nAnswer: 49606794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9576.845m?\nAnswer: 9.576845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4200 and -0.121?\nAnswer: -508.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 24*r**3 + 51*r**2 - 30*r.\nAnswer: 3*r*(r - 5)*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7347664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*k**3 - 3*k**2 - 73*k**3 + 24*k**3 + 29*k**3 - 75*k wrt k?\nAnswer: 48*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 34*w + 60. Calculate d(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 489737277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * 0.09046451\nAnswer: -0.144743216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 269204391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inncolr. What is prob of picking 1 i, 1 r, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:39 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 21*k**2 - 7*k - 7. Let y(v) = 10*v**2 - 3*v - 4. Let l(f) = -4*d(f) + 7*y(f). What is the second derivative of l(c) wrt c?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*m + 67. Suppose -2*c - 2*z + 16 = 0, -2*z + m = 5*c - z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmwm when four letters picked without replacement from {w: 1, m: 5, f: 3, q: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*((38 - (31 + 8)) + (-55)\/(-41)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96 + 139*r - 140*r - 51*r**2 - 25*r**2 - 62*r**2 wrt r?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2. Let c(n) = 25*n - 172. Let s be c(7). Let d(i) = -s - 8 + 5 + 6 - 47*i**2. Calculate t(d(g)).\nAnswer: 6627*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5634*w**3 - 11239*w**3 + 5629*w**3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 7*a**2 + 9. Let k(s) = s + 2. Let h(b) = -3*k(b) + q(b). Determine h(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 5*q)*(5 - 6 + 3)*(0 - 5 + 1)*(3*q + 2*q - 6*q)*(-4*q - 2*q + 3*q) + 5*q**3 - 2*q**3 - 5*q**3.\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*f - 12*f - 23*f - 25*f - 17*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/13)\/(r*r*r\/(r\/r**(1\/18))) assuming r is positive.\nAnswer: r**(-427\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/((-3)\/((-6)\/(-1)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)\/h)**19*h**(-8)*h*h**(-2\/15)*h)**(2\/13) assuming h is positive.\nAnswer: h**(-1223\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose l*a - 16 = 5*i, -8*a - 10 = -3*a. Let y = i + 5. Solve 0 + y = -3*s - n, -3*n = 3*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 246*f + 3299. Calculate x(-13).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 2*u + 2*u + (2 - 2 - 1)*(-4*u - 5*u + 6*u) + 0*u + u + u + 3*u - 3*u + 6*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 51*j**2 + 105*j - 49. Let k be p(-53). Suppose -s - k*z + 92 = -249, -3*s + 4*z = -1023. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let z(g) = g - 1. Let f(o) be the second derivative of -o**3\/2 + o**2 + 4*o. Let u(k) = 2*f(k) + 4*z(k). Give u(t(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 5*y**3 + 5*y**3)*(1406 - 1406 - 35*y + (0*y - y + 2*y)*(0 + 1 - 3)).\nAnswer: 74*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -32.\nAnswer: -32, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -c672?\nAnswer: c66c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:38 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 - g**4 + 0*g**4 + (0*g**3 + g**3 - 3*g**3)*(0 - 2*g + 0) + g - g + g**4 - 2*g**4 - 2*g**4 - 2*g**4.\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 113*h**9\/504 - 6*h**5\/5 + h**3\/3 - 62*h**2. Find the third derivative of j(a) wrt a.\nAnswer: 13560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhuiuuuiuu. What is prob of sequence uh?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42518113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 2*d**5)*(6 - 6 + 8) + ((-3 + 3 + 2)*(-2*d + 2*d + 2*d) + 0 + 0 + 6*d)*(3*d**4 + 2*d**2 - 2*d**2) - 3*d**5 - 3*d**5 + 7*d**5.\nAnswer: 15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a - 3*a + 2*a)*(-2*a**2 - 4*a**2 + 26*a**2) in the form q*a**3 + d + l*a + f*a**2 and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7239 divided by -7239.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147386 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22785, -182224, -614957, -1457628, -2846881?\nAnswer: -4919360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -20 + (-3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 268521 + 6?\nAnswer: 268527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(605))*-6 + (sqrt(605) + 0)*-3)**2.\nAnswer: 3564*sqrt(5) + 49329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252 (base 7) in base 10?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from oocxn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -13. Solve -f - 2 + d = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 1 = k + 3*k + r + 9, -5*k - 43*r - 248 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 428 - 148. Let k be q - (3\/3 + -4). Let g be (-5)\/10*(k + 1). Calculate the greatest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 8, 53 + 15 = 2*b - 2*v. Let s(w) = w**2 + 7*w + 9. Let f be s(-7). Let h be (-5 + f)*114\/8. Calculate the highest common factor of b and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 18. Let g be f(12). Let v be g - (3 - 6) - -31. Suppose 0 = -u + 4*p + v, -2*p - 9 = p. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:24 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 18*u - 136. Let y = -11229 + 11253. Calculate a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 273386 - -5?\nAnswer: 27338b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1 = -5, p = -h - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - a + 2. Let n be x(1). Suppose -n*k + 3*j = -12, -2*k + 7*k + 5*j = 0. What is the second derivative of -9*l**k + 15*l + 13*l - 8*l wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38467161 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -48, -42?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 632*b**2 - 20086*b + 20720.\nAnswer: -2*(b - 1)*(b + 37)*(b + 280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or -80?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 78780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**7\/42 + n**4\/12 + n**2\/2 - 4. Let u(t) be the second derivative of d(t). What is the second derivative of u(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003565687532 to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4.1. Let w = b - -1.1. Let z be (-3)\/60 + 2\/8. Put -0.1, w, z in decreasing order.\nAnswer: w, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21954*a**2 + 5 + 14*a + 9 + 21990*a**2. Let p(f) = 7*f**2 + 3*f + 3. What is 14*p(b) - 3*v(b)?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + r - 3. Let q be w(-2). Solve -c = -3*t + q, 7*c - 3*t = 2*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)*(-8)\/12*9\/6. Let d(l) = -2*l**2 - 45 + 11*l**2 + 39 - 7*l. Let w(y) = y**2 - y - 1. What is f*d(j) + 6*w(j)?\nAnswer: -3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Suppose 3*z - 3*m = 45, -p*z + 2*m + 33 = -11. Calculate the remainder when ((-246)\/(-4))\/(-3)*-2 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2028 + 168 = -5*z. What is the highest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354 or -359?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4122125014 + -3?\nAnswer: -4122125021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 3*i - 21, 4*w = -i + 16. Suppose w*n + 2*n = 5*v - 10, v = -5*n + 2. Solve -3*r + n = 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39762*v**4\/13 - 362789616*v**3\/13 + 4348895704*v**2\/13 + 123591904*v\/13 + 877056\/13 = 0. What is v?\nAnswer: -9136, -2\/141, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 442, 651, 852?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -63*q**2 - 5880*q + 58029. Calculate l(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -331*v + 7. Let w be z(-1). Suppose 286*x - w = 284*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzf when three letters picked without replacement from zgcgozzgfdfg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17 = -0. Let h = -7 + r. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*y - 5 = -9*p, p + 3*y = -1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7248*r - 3620*r - 3628*r - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15464 - 14611. Calculate the remainder when q is divided by 238.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 298038972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let r = -1.5 + 1.6. What is the closest to r in o, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, -0.4, -0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3\/7 - 48*l**2\/7 + 1252*l\/7 - 1200\/7 = 0. Calculate l.\nAnswer: -25, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 8409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1115 divided by 131\nAnswer: -1115\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvubqvv. Give prob of picking 1 u, 1 b, and 1 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2416337\/616 + 4\/(64\/6)?\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10190 + 25585. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -387, -1412, -3425, -6756, -11735?\n\"Answer: -55*y**3 + y**2 + 15*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.994 + 0.006. Let t = -1 + 1. Which is the nearest to t? (a) f (b) 0.1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -53, 6, -2 in descending order.\nAnswer: 13, 6, 2, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10*w**2 + 7*w + 1. Let u(z) be the second derivative of 7*z**4\/12 - 5*z**3\/6 - z**2\/2 - 4991*z. Give 5*r(v) + 7*u(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 79. Put -3, 4, -22, m in decreasing order.\nAnswer: 4, -3, m, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 23.\nAnswer: 22\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1059\/32942 + 8\/1267. Let m(f) be the second derivative of 9*f + 3\/130*f**5 + 0 + 1\/39*f**3 + 0*f**2 + u*f**4 + 1\/195*f**6. Find c such that m(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/11? (a) -0.4 (b) -2\/115 (c) -1.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178811?\nAnswer: 163, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8155000 rounded to the nearest ten thousand?\nAnswer: -8160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211683 is divided by 238.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o = -54*o - 21. Solve 0 = -p + 2*h + 2 - o, -3*h = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/7 + (-26)\/91. Is (-19564)\/(-18) - m\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121100 (base 3) to base 16\nAnswer: ff6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = -2*d + 114, 0 = 5*s + d - 183. Suppose 0 = -4*t + 6*t - 6. Let f be ((-3)\/(-6))\/(t\/144). Calculate the greatest common divisor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 772 - 6935 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 2. Let b be i(-2). What is the remainder when 17 is divided by -1 + -1 + 2 + b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9 - 2\/(-12). Let b be (-2)\/3 - (-4)\/6. What is the nearest to b in f, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.74 - 0.24. Is b > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 82010544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.5 + 23.3. Let v = 30 - p. Let g = v - -8.726. What is g rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-8)\/(-64) - (-154)\/20. Let h = d - -99\/5. What is the common denominator of 8\/6*(-49)\/16 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 41 + 23*q + 31 + 26. Let s be w(-22). Let j(f) = f + 11. Calculate j(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 138*o - 1010. Give z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -24*x. Let w(q) = -5*q. Let r(g) = 3*h(g) - 16*w(g). Let v be r(14). Let s = v - 106. Solve 0 = t - 3, 4*p + s = 3*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by 13724?\nAnswer: 159\/13724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6916498, -27665997, -62248494, -110663989, -172912482, -248993973, -338908462?\nAnswer: -442655949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2587\/4 - 647. Let w = 0.2 + -0.7. What is the third smallest value in 8, 0.4, w, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Suppose c - 2*j - 131 = 0, 2*c - 110 = c - s*j. Is c + (0 - -3) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74\/(-222))\/((-624)\/32).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1495*n**3 + 2322*n?\nAnswer: -8970*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 56. Let c(p) = -2*p**2 + 4*p. Let j(x) = 108*x + 5*x**2 - 131*x + 7*x**2. Let v(r) = t*c(r) - 6*j(r). Calculate v(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 31. Let u be r(-13). Calculate the greatest common factor of u and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let p be -7*(-1)\/(-1)*5. Let l = 29 + p. Give t(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -26*s - 11. Let j(y) = 47*y + 21. Let b(n) = 4*j(n) + 7*o(n). Let p(f) = -7*f - 8. Determine 5*b(z) + 4*p(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 - 2. Solve 11 = p*k + i, -4*k - 13 + 41 = 4*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18598 - -28340. Let a = 57 + x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 421 + -353. Let i(p) = 129*p - 70*p - r*p. Let y(m) = -13*m. What is i(y(t))?\nAnswer: 117*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 21*z**2 + 643*z. Let h(f) = 13*f**2 + 429*f. What is 8*h(p) - 5*j(p)?\nAnswer: -p**2 + 217*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -a56?\nAnswer: a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*s = 3380, 3*v = -0*s - 4*s - 10180. What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-7) + 16 + (-1428)\/98?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/((-8)\/688) + -2. Let m = 325 - s. Let k be (7 - 259\/35) + m\/5. What is the highest common factor of 77 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(110)\/sqrt(2))*-2 - (sqrt(275)\/sqrt(80) - sqrt(55)))\/(sqrt(132)\/sqrt(108) - sqrt(66)\/(sqrt(6) - sqrt(24))).\nAnswer: 9*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*m = 18, -5 = -a + 3*m + 1. Let k be 13 - (-2)\/(-2 - -3). Suppose a*n - n = k. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15016 divided by -4.\nAnswer: 3754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(420)*6)\/sqrt(12))\/(sqrt(672)\/sqrt(6) + sqrt(63)*-1).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*k + 3*j, k - 3 = 2*j + 29. What is the smallest common multiple of k and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.4, -3, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114 - 462 - 63)*(3 - 3 - 2)*(2*i + 0*i + 0*i).\nAnswer: 1644*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 577*j + 4. Let u be o(3). Suppose -u = -3*v - 4*w, 4*v - 1751 = v + 4*w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/32 and (-165)\/110 + 163\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -441.94 - -440.94. Which is the nearest to 0? (a) 0 (b) k (c) 18.6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.2204 - 7.22009817. Round h to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5733 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 900335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 704, 869, 1094, 1373?\nAnswer: 1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + -1514*12\/(-38) + 446\/(-4237) is divided by 138.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-18) + (-2)\/(-9). Let p = -57\/2 + 29. Which is the nearest to w? (a) 0.3 (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -4*d + 4*g, 2*d = -0*d - 5*g + 164. What is the remainder when d is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -5894b0?\nAnswer: 5894ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:26 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/(-10) + 3 - (3 + -1717).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.3, -1, 115, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(245) - (-1 + 3*sqrt(245)))*-6 + -4))**2.\nAnswer: -60480*sqrt(5) + 1273680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.81 - 3.01. What is the nearest to s in -2\/9, 10, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/214 and -79\/618646.\nAnswer: 66195122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 99*j**5 - 2*j + 4*j**4 + 2*j - 6*j**3 - 98*j**5 - 15*j**3 = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 7*f**2 + 10*f - 4. Suppose -13*r + 9*r = -32. Calculate the remainder when 46 is divided by c(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 = -63*y - 52*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 31 - 17. Let t(h) = h - 4. Let c be t(o). Let s be (64\/(-10))\/((-1)\/5). Calculate the greatest common divisor of s and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-45)\/21)\/(((-176)\/(-168))\/(-22)). Solve 9 = h*b - 3*w, 2*w + 13 = -4*b - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**2 - q - 8. Give c(3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3 - 23. Suppose 19 = 3*f - 11. Suppose f = -t - 2*k, 2*k + l = -2*t - t. Let a(j) = -j**3 + j**2 + j - 4. What is a(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and -4.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*y**3 - 91840*y**2 + 130*y + 57051?\nAnswer: -744*y - 183680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 5*a + 9. Let q be z(7). Let l = -30 + 14. Let c be l\/40 + 1049998\/q. Round c to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(175) + -1)**2 + -5.\nAnswer: -10*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.009 + -0.029. What is the nearest to 0.1 in -0.01, 5, b, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -31*y**2. Let s(l) be the second derivative of -l**4\/6 + 5*l**2 - 52*l + 1. What is s(t(m))?\nAnswer: -1922*m**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680.495ng in tonnes?\nAnswer: 0.000000000002680495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2741, -5486, -8225, -10952, -13661, -16346, -19001?\n\"Answer: n**3 - 3*n**2 - 2743*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2758646 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213309, -430045, -646781?\nAnswer: -863517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 7*d)*(-2 + 1 - 1).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/9 - 4823*r\/9 + 288038\/9.\nAnswer: -(r - 59)*(r + 4882)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, -21, -38, -55?\n\"Answer: -17*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 489 - 490. Which is the fourth biggest value? (a) -0.08 (b) 1 (c) 0 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/20 - 5*l**4\/12 - 3*l**3\/2 + l**2 - 2*l. Let i(m) = -4 - 3 + 2*m**2 + 6 + 4*m. Let z = 3 + -5. Give z*j(c) - 5*i(c).\nAnswer: 2*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 900 + -5447\/6. Find the common denominator of x and (-20)\/(-40) + (-18)\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-5 - 14\/7). Solve -4*k + 2*l + 14 = 0, -5*l - 6 - 1 = -c*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 0)\/5 + 331422\/390?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 8 = 2*f, 2*y + 2*f = -11 - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -3*(-2 + sqrt(1872)) - sqrt(1872) - sqrt(1872)*1*5)**2.\nAnswer: -1152*sqrt(13) + 119844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -336 - -341. Let a be 1 - n - (-6 + (-77)\/(-14)). Put -2\/15, 3, a, 0.1 in ascending order.\nAnswer: a, -2\/15, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109157611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 7*c + 1. Let n(g) = -96*g + 202. What is the smallest common multiple of r(9) and n(2)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 y, and 1 i when three letters picked without replacement from pynfwpiw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 44541?\nAnswer: -44541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:53 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12066, 12119, 12174, 12231?\n\"Answer: v**2 + 50*v + 12015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11670672 is divided by 31887.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 49*p + 8. Let i(r) = -40*r - 7. Calculate 5*h(g) + 6*i(g).\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**3\/6 + 4*f**2 + 6*f. Suppose 5*n + 3*r + 9 + 30 = 0, 4*r = -2*n - 24. Determine p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 11 - 17. Let y = 12 + -12.2. What is the nearest to 1 in y, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1479 less than -1480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/4 - 22*g**3\/3 + 3*g**2\/2 - 54*g - 70. Is y(22) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 5 = -3*p - 17*x, -5*x = 3*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 4*m - 451. Is m a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18479.45208 rounded to zero decimal places?\nAnswer: 18479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g. Let b(v) = -12*v**2 - 26. Let x(r) = -2*r**2 - 4. Let q(h) = -6*b(h) + 39*x(h). Determine q(k(l)).\nAnswer: -1536*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98762 is divided by 65?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 72, 56, 34, 6, -28, -68?\n\"Answer: -3*g**2 - 7*g + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254736 greater than or equal to 255016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3803 - 3734.36. Let l = -69 + u. Let z = l + -0.04. What is the closest to -1 in 5, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*d**3 - 47*d**3 + 122*d**3)*(-89 + 10*d + 89).\nAnswer: 1320*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1182 - 987. Suppose -c = -x - 198, 4*x + 9 - 1 = 0. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170010791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 309547.1ng in micrograms?\nAnswer: 309.5471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**2\/3 - 26*x\/3 - 407\/3 = 0?\nAnswer: -11, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076875731.\nAnswer: 7, 19, 2230801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769 = -2*y + 5*w, -4*w + 1580 = 2*y + 2*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.7 (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 + 1.3. Let g = u - 3. Which is the nearest to 0.1? (a) -0.1 (b) g (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11453.63 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 6*w**2 - 26*w + 6. Give h(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m + 67*m - 5*o + 62 + 88 = 0, m - 76 = -3*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -263 (base 12) to base 11\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*f + 16, 0 = -5*a - 36*f + 33*f + 12. Suppose 17*o = 21*o. Solve 3*p - 6 = 0, a = -2*n + p - o - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38, -146, -328, -584?\n\"Answer: -37*a**2 + 3*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*m - 23 = 0, 0*m - m + 17 = 2*h. Suppose -2*u - 890 = 4*c, -215 = c - h*u + 6*u. Round c to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11)**(-11\/4)\/(p**0\/p**(-8\/15)) assuming p is positive.\nAnswer: p**(-1847\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -369?\nAnswer: 4\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 2074?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**3 + 4*o - 7. Let k(y) = y**3 - 18*y**2 - y + 11. Let g be k(18). Let t(c) = -4*c**3 - 3*c + 5. Calculate g*t(v) - 5*b(v).\nAnswer: -2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 5) in base 9?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-14 - -2 - (135 - 119))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 3*r**2 + 18*r + 4. Let c be u(-3). Solve -3*n - 26 = c*f, 28 = -5*f + n + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36338 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*u**3 - 1760*u + 138577 wrt u?\nAnswer: 108*u**2 - 1760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let t = 374 - 375. Put -4, -3, g, t in descending order.\nAnswer: g, t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-3) - -4) + 0. Suppose h + 6 = n. Let j = h + 17. Solve -5*g + j + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -868406*m**4 - 698*m**2 + 14*m + 23?\nAnswer: -20841744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1492, 6100, 13834, 24694, 38680?\n\"Answer: 1563*q**2 - 81*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 21*u**2 + 9. Let b be r(-21). Solve 3*j = -y + 5, 0*y + 3*y + 3*j - b = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 1389660855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 11*u**2 - 8*u - 11. Is 9 a factor of z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e9b1a (base 16) to base 14.\nAnswer: -59716a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -1471\nAnswer: 1470.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4926434488.\nAnswer: 2, 17, 36223783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104064760931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6131916885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/21 - (-8*1 - -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Suppose 4*h - w*h + 303 = 0. List the prime factors of (2\/1)\/(-6*1\/h).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 199, 403, 607, 811?\n\"Answer: 204*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132301313 + -300?\nAnswer: -132302213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -6180217302.\nAnswer: -6180217301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 134 = 3*x - 169, 3*x + 321 = 4*q. Suppose 5*j = q + 242. Calculate the remainder when j is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 6040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 135.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2 - 2 + 0*d + 0 + d. Let f be n(6). Suppose 3*v + 11 = -i, -v + f*v + 5 = i. Which is the biggest value? (a) 0.05 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**2 - 5\/8*y**4 + 0 + 1\/30*y**6 + 0*y**3 + 0*y + 0*y**5. What is the second derivative of f(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 2. Sort 0, 5, d.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-38)\/(-4) - 2)*(-4)\/(-6). Suppose 2*b = u*v - 1 - 13, -v + 12 = -5*b. Factor 0 - 1\/7*s**3 - 1\/7*s - 2\/7*s**v.\nAnswer: -s*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8139848l to millilitres.\nAnswer: 813.9848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26160126 (base 7) to base 4.\nAnswer: -21012012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1468 = -12*w - 1444. Let f be 0\/(0 + 3 + -4). Suppose f = 5*k - 11 + 1. Calculate the remainder when w is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 14, 72, 184, 368, 642, 1024, 1532?\nAnswer: 2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5193 - 145403\/28. Which is the second biggest value? (a) 3 (b) 1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67.7207 litres?\nAnswer: 67720.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 477*l**2 - 7325*l - 209. Determine y(222).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(15)*2)*2)\/((2*sqrt(9))\/sqrt(3))*2 - (((sqrt(405)*-1 - sqrt(405))**2 + -5)*-4 + -5).\nAnswer: -2*sqrt(5) + 6465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - l = -2*s - 27, 32 = 5*l + s for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s + 34. What is the least common multiple of 16 and r(4)?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7350*c + 86314 = 336214 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*p**3 - 299*p**3 + 89*p**3.\nAnswer: -529*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 147*f - 1055. Calculate h(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/2 - 3*c**3 + c**2\/2 + 12*c - 10 = 0. What is c?\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*(l*l\/l**(-1\/3))\/l*l)))\/(l**(-1)*l*l))\/(l**(-7)*l**(-5\/4))*l*l*l\/(l*l**(-3\/8)*l*l)*l**(-2\/11)*(l**(-1)*l)**(2\/121) assuming l is positive.\nAnswer: l**(2845\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*l**2*p**2*w**2 + 7*l**2*p**2 + 5*l**2*w**2 - 12*l**2*w wrt p?\nAnswer: -10*l**2*p*w**2 + 14*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 6*b + 7. Let i be v(2). Let r be (-11)\/((-11)\/(-3)) - i. Solve 5*a + 4*o + 21 = 0, 0*a + 2*a - 3*o = r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -33*k**2 - 20\/3*k**3 + 0 + 0*k - 3\/8*k**4. Is y(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 42. Let c be h(15). Suppose -5*n + 667 = 4*q, c*n + n = -4. Let u(j) = -168*j + 3*j**2 + q*j. Let m(y) = -3*y. Calculate u(m(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 2*m + 2*y, 0 = -3*y - 12. Suppose 9 = m*w - 1. Solve -s - 2 = -w*i + s, 0 = -3*i + 2*s + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2447*x + 63624. Calculate k(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1046.414um?\nAnswer: 0.000001046414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - w + 2, -5*q + 10 = -5*w. Let h = 112 + -112. Suppose -5*u + 5*m - 5 = h, m = 3*u - 8*u - 5. Sort q, u, 0 in descending order.\nAnswer: q, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*z - 32, -3*o + 7 = 4*z - 3. Let y(q) = -5*q + 12. Let a be y(2). Put o, 5, a in increasing order.\nAnswer: a, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75743662.8 to the nearest 1000.\nAnswer: 75744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30691 by -25459.\nAnswer: -30691\/25459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*m - 54 = 2*b, -52 = -4*b + 2*m. What is the greatest common divisor of 192 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43107 divided by 14369?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235*y**2 + 6 + 90*y**3 - 134*y**2 - 6 wrt y.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (17 - (-27 + 26))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:22 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*y - 179*y = 11675 - 4403 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*q + 670576 - 342352 = -554636. What are the prime factors of q?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20604 or -20602?\nAnswer: -20604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 3:08 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006926 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9469 >= 9470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 + -10?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576738409 plus 0.1?\nAnswer: -1576738408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 9\/(-6) - 23\/322. Put d, 156, -1\/2, -1 in decreasing order.\nAnswer: 156, -1\/2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 2 (c) 0.1 (d) 3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14726 + 14813. Calculate the remainder when 2518 is divided by x.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**7\/21 + 4*q**6\/15 - 2*q**4\/3 + 2*q**3\/3 + 3*q + 3. Let o(i) be the first derivative of l(i). Factor o(t).\nAnswer: -4*t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.5, 0.05, 0.2, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 384.6 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(10\/1325)*-1*20706\/(-145)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111010011010001 (base 2) to base 11\nAnswer: 20517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 31*j - 4. Suppose 378*r + 72 = 396*r. Let w(b) = -216*b + 27. Calculate r*w(f) + 27*d(f).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 397 less than 398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 12*q**4 + 1407*q + 1414*q - 2818*q to the form g*q**2 + x*q**3 + k*q**4 + w*q + i and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(153)*4*-6)**2 - ((sqrt(153) - -3*sqrt(153)*-3)**2 + 2).\nAnswer: 3162814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d + 1156 = t + 30*d, 0 = -4*t - 4*d + 4608. What are the prime factors of t?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 7*x**2 - 6*x - 7. Let q be c(-6). What is the third smallest value in -3, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + s - 2*s)*(3233*s**2 - 3568*s**2 + 89*s - 90*s) as x*s**3 + j*s**2 + v + p*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*d, 0 = 5*x - 0*d - 3*d - 1. Is 1\/6 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + 688\/(-30))\/(2\/(-5))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*r**3 + 724*r - 15154?\nAnswer: 120*r**2 + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (14 - (-1 + 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 117194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 11*p - 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 4*x**2 - 2*x + 4. Let h be i(4). Let p be 6\/(-12) - 18\/h. Solve 0 = o + p*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -571.52168.\nAnswer: -570.52168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21475, 41350, 61225, 81100, 100975?\nAnswer: 120850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2941555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0156691127 rounded to six decimal places?\nAnswer: -0.015669","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 39.55 take away 4029?\nAnswer: -3989.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 17*w - 18*w - 9, -j = 5*w + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 12. Suppose 3*q - o - 362 - 1096 = 0, -2*o = -c. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.286*-339.\nAnswer: -96.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 21*h**2 - 24*h + 6. Let t(i) = i**3 - 1. Let s(z) = -p(z) + 3*t(z). Suppose s(b) = 0. What is b?\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 13*o + 1. Let p be f(13). Put p, -4, 3\/4, -5 in ascending order.\nAnswer: -5, -4, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2) + 7*(-12)\/(-21).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -6*b + 5\/4*b**4 - 1\/2*b**2 - 1\/6*b**3 + 0. What is the tens digit of v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/137 - -131\/411. Which is the second smallest value? (a) -4 (b) z (c) 4\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176324.546 rounded to the nearest one hundred?\nAnswer: -176300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 5:54 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -21*(-1 + (-20)\/(-35)). Let a(x) be the first derivative of 2 + j*x - 1\/2*x**2. What is a(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11874 (base 10) to base 6\nAnswer: -130550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15200 by 5.\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29858560*b**2 + 17468725 wrt b?\nAnswer: 59717120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) 0.07 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let r be g(-4). Let m(b) = 4*b - 6 + 6 + 18*b**2 - 6*b. Let f be m(-1). Solve -r*o + d + f = 0, o - 3*o - 3*d = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 1. Let v(n) = 4*n + 2. Let z(g) = 2*g - 1. Let j be z(2). Let f(b) = j*w(b) + 2*v(b). Determine f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*l + 50*l + 81*l.\nAnswer: 103*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 26. Does 13 divide x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**3 - 19624*n**2 - 19652*n + 117768 = 0.\nAnswer: -3, 2, 4907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172074295 by 2.\nAnswer: -172074295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 0)*12\/6. Let q = -6 + d. Let n = -11 + 14. Solve x + q = -3*g + g, 0 = -n*g + 5*x - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117934553.\nAnswer: 11, 10721323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a7ae (base 16) in base 11?\nAnswer: -74542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 1 + 6 + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 3*i. Let g be l(4). Let v = -2 + g. Is 16 a factor of -1 - (0 + -19 + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*i - 15 + 107, 0 = u + 2*i + 23 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289256.\nAnswer: 2, 11, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123958*q**2 + 123955*q**2 + 1431 - 247914*q**2 to the form z*q + m + v*q**2 and give m.\nAnswer: 1431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(1\/31))\/b**20)\/(b*b**(10\/9)*b)**36 assuming b is positive.\nAnswer: b**(-4029\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 887440460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3851?\nAnswer: 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89176 + -89169. Let j(b) = -2 + 5*b**2 - b**2 - 3*b**2. Let d be j(-3). What is the greatest common factor of k and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n)\/(n*n\/(n\/n**4))*((n*n*n**(2\/5)*n*n)\/n)**(5\/14) assuming n is positive.\nAnswer: n**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25477*w**3*y**6 + 8*w**3*y**2 + 9*w**3 - 129*y**2 wrt y?\nAnswer: -3057240*w**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/((-5)\/(-20)). What is the units digit of -2 + q + (31 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085040 divided by 54252?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 608392708.9999249 - 608392774. Let s = b + 65. What is s rounded to six dps?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710a (base 13) in base 2?\nAnswer: 11110011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198555 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 365283.2 hours in milliseconds?\nAnswer: 1315019520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30218385 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 328\/21, 4, 2\/7, -12 in decreasing order.\nAnswer: 328\/21, 4, 2\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9954.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -363\/5 in -4, -1145.82, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 156\/10*(0 + (-270)\/81). Let s = -5 - -8. Which is bigger: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -158*l - 1582. Give n(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*i + 4 = -2*i, 4*n + i = 23. Suppose 2*y - 29 = -n*o, -o + 13 = y + 3*o. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -52. Let l be n\/10*(0 + -2). What is the units digit of ((-13)\/l)\/((-8)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5\/4 - 2177*t**4\/8 + 2553*t**3\/8 + 1813*t**2\/8 - 2547*t\/8 + 91\/2 = 0.\nAnswer: -364, -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 28. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/4491, -0.3, -0.4, 122, 0.3 in increasing order.\nAnswer: -0.4, -0.3, 4\/4491, 0.3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -1, 156?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2379011064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 + 5 = 0. Suppose 4*t - 55 = 5*l, n*l + 27 = 2*t - l. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let n(t) = 2*t**3 - 2*t**2 + 3*t - 1. What is the remainder when n(m) is divided by -2 - (-8 + (1 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*t + 1 + 68*t + 197*t.\nAnswer: 381*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 3 - 6 + 0. Let i(s) = s - 1. Suppose 0*b + 15 = b. Suppose -b = -0*g - 3*g. Give g*i(j) - v(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4 = 2*n + 11, 0 = -n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 853713?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h - 6. Let o be k(-2). Let x = 46 + o. What is the highest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5, -k - 5*y + 3*y = -465. Does 61 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -3\/4, -0.3, -1\/2, -38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214952 is divided by 42849?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399736 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwow when four letters picked without replacement from {o: 1, x: 4, w: 3, u: 8, r: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 111. Suppose -5*k + t = -k. Suppose -k = -a - 2*a, a + 37 = 4*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3. Let n(w) = -7*w - 9. Let f(s) = 12*s + 15. Let a(h) = -3*f(h) - 5*n(h). Give -2*a(k) + p(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlll when four letters picked without replacement from uuullnnnnnll?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.361352 weeks in milliseconds?\nAnswer: 3847345689.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13720 - -13794. Solve -n*o + 90*o = 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2896, -2883, -2864, -2839, -2808, -2771, -2728?\n\"Answer: 3*x**2 + 4*x - 2903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 12 + 8. Suppose 3*r = s*r - 4. Solve w - 1 = r*a, 2*a + 3*a = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*k - 86. What is the remainder when k is divided by -2 - (5 + -20 + (-3 - -6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 182 = 83*r - 88*r, r = -2*c - 52 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:34 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-54)\/(-4)*5\/((-180)\/(-48)). Find u such that -16*u + 34*u**3 - 2 + 4*u**4 - 20*u**2 + 0*u**2 - 14*u**3 - 4*u**5 + q = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 495, 934, 1373, 1812, 2251?\n\"Answer: 439*q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - a + 3 - 1 = 0, -4*a = g - 23. Suppose -4*c - 50 = -g*b - 13, 2*b = -c + 10. Suppose 3*w - b*w = 24. Which is smaller: w or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**14\/d**(-8\/3)*d**3\/d*(d\/(d*d\/(d*d*d*d*d*d\/d**(-3)*d)))\/d assuming d is positive.\nAnswer: d**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 22*l**2 + 6*l - 131. Let x be m(22). Sort -3, 10, x, 3.\nAnswer: -3, x, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456402532+26.7905\nAnswer: 456402558.7905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 31 = 6*o + 4*m, -3*o = 4*m - 1530 + 1555 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2654290 = 2*y, g + 22*y = 17*y + 663622. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565 by -565.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8 + 8 = 2*c, -2 = -2*q + 3*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (56\/((-676200)\/(-375)))\/(30\/14)\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 9:10 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b**4 - 5*b + 5. Suppose -2*t - 1 = -3. Let o(k) = -k**4 - k - 1. Let f(z) = t*h(z) + 5*o(z). Find the second derivative of f(r) wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16225, 64454, 144837, 257374, 402065, 578910, 787909?\n\"Answer: 16077*j**2 - 2*j + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)\/o)\/o)\/((o*o**(-21))\/o*o)*o**(-13)\/(o*o*(o\/(o*o\/(o*o**(-2\/11)\/o)))\/o) assuming o is positive.\nAnswer: o**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -191. Suppose 5*g + 3 = 53. Suppose -n = 4*p - 46 - g, 3*n - v = -5*p. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 54. Suppose 4*q + 5*j - r = 0, -2*q = 3*j + 2*j - 15. Let g = 20 + -11. What is the lowest common multiple of q and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(34\/153). Let s(x) = x**2 + x. Give s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5515015 (base 6) to base 14.\nAnswer: -720a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888792 + 2*l**2 + 0*l**2 - 4483*l - 888792.\nAnswer: 2*l**2 - 4483*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -9664.064.\nAnswer: 9664.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0*a**3 + 5*a**3 + (2 - 2 + 2)*(-3*a**2 + 3*a**2 - 3*a**3))*(-a + a + a + 4*a - 4*a - 4*a - 3*a + 0*a - 3*a + (2 - 2 + 2)*(-4*a + 3*a - a)).\nAnswer: 39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 252\/5698*(1020\/(-36) + 32)\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 32105 - 16050 - 16055 + 9*k. Let t(r) = 62*r. Calculate u(t(h)).\nAnswer: 558*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/3, 3\/4, 23 in ascending order.\nAnswer: -4, -2\/3, 3\/4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + 0.2. Let r = 0.6 + w. Let z = -5.05 - -0.05. What is the closest to r in 3\/4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/((-10)\/(-102556)))\/1. Let i = h - -97278. What is i rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 314*q + 3818. Determine u(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -365.5 - -366. Which is the biggest value? (a) -0.2 (b) m (c) -1 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*i**2 + 1749*i**2 - 586*i**2 - 576*i**2 - 17.\nAnswer: 10*i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 117. Suppose -43*v = -41*v - k. What is the remainder when 95 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -19 - -7 - (-4 - -1)) + -25.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 15. Let b be l\/3 - (0 + 2). Suppose 4*o - 54 = b*k - 16, -5*o - 4*k = -32. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56.5 - 59.5. Which is smaller: 83 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 + 15 = 0. Let z(w) be the third derivative of -w**4\/8 - w**3 + w**2. Is z(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 360 = 7*s. Let z = s + 447\/5. What is the nearest to -1 in 4, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Suppose 225 = -z + b*z. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(-17))))\/p**(2\/23))**(-18\/11) assuming p is positive.\nAnswer: p**(6660\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 4*s + 5. Let p(y) = 7*y + 5. Let j(k) = 8*k + 6. Let u(z) = -6*j(z) + 7*p(z). What is a(b) + 4*u(b)?\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.32833 litres in millilitres?\nAnswer: 59328.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020133 + 1202013?\nAnswer: 10222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 26*b**2 - 24*b + 83. Let p be i(-25). Suppose -8*l + 42 = p. Let h = 24 + -45. Sort -4, h, l in increasing order.\nAnswer: h, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:59 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, j: 13}. Give prob of picking 2 j and 2 l.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11325, 11380, 11479, 11628, 11833, 12100, 12435, 12844?\n\"Answer: g**3 + 16*g**2 + 11308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/6 + 2*p**2. Let k = -16 - -25. Is 12 a factor of g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3262560 by 1120.\nAnswer: 2913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 75*m**3 + 2*m**2 - 15*m - 5. Calculate z(-2).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + -46.1.\nAnswer: -136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 0.1 (c) 16 (d) 5 (e) -143 (f) 374\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 30. Let t = g + -7.2. Suppose 3*l = -2*l. Which is bigger: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - -0.149103460473.\nAnswer: 0.749103460473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 + a3452?\nAnswer: a3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 17*q**2 - 12*q + 19. Let l be z(16). Is -1*l*(-25 + 24) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6923 - 863462824\nAnswer: -863462824.6923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25244882.65999829 - 25244902.86. Let o = d + 20.2. Round o to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, a: 2}. What is prob of sequence asa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 - ((-273)\/104 - 6\/16). Suppose 11*x = s*x - 45. Solve 0*j - 2*j - 5*w - x = 0, -3*w = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1296\/(-21) + (-2)\/7. Let b be 27\/(-72)*(-415 + 7). Let v = n + b. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571203 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3103 (base 5) in base 14?\nAnswer: -20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 r, and 1 c when four letters picked without replacement from {l: 3, c: 13, r: 3}?\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241577.\nAnswer: 7, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 3. Let t(r) = 7*r + 8. Let x be (-374)\/(-110) - 8\/20. Give x*t(d) + 8*a(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412\/9 - -409\/9. Which is the third smallest value? (a) 7 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - z = -16, z = 1 - 0. What is the greatest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -3\/4, 11256, -1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1230392\/3 and 410132 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + (sqrt(208) - (sqrt(208) + 2*sqrt(208) + -4))*-1*6))**2.\nAnswer: -52800*sqrt(13) + 760900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**3\/3 - w**2 + w + 6. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 37\/2*l**3 + 15*l**2 + 47\/4*l**4 + 0 + 69\/20*l**5 + 3\/10*l**6 + 15*l. What is v in f(v) = 0?\nAnswer: -5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 36\/15*(-6)\/12*-505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318870 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1001, -890, -779?\n\"Answer: 111*k - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {l: 1, s: 3, c: 6, u: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 944771, 944773, 944775, 944777?\nAnswer: 944779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*p + 2*p + 8, 2*o = p + 16. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 165\/6)*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498113979?\nAnswer: 3, 11, 67, 225289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269344228.\nAnswer: 2, 19, 29, 122207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.588? (a) -0.2 (b) -2\/13 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x + 55. Let c be g(-5). Let b(z) = 2*z**2 - 3*z - 3. Let i be b(c). Let l(k) = 280*k**2 + 2*k + 7. Is l(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 511*p + 32772 - 32772 in the form i + m*p and give m.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-15) - 4\/(-6). Let r(j) = -2*j + 3. Let y be r(f). Which is the smallest value? (a) y (b) -4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3736862*y + 7473748*y - 3736882*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 157015258, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (3\/5*14)\/(88\/220).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*t + 10 = 0, -5*r - 293*t + 292*t = 5. Let u(n) be the first derivative of r*n - 1\/10*n**4 + 2\/15*n**3 + 34 + 0*n**2. Solve u(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 17. Let d(y) = 1. Give 6*d(p) - n(p).\nAnswer: 3*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 0 - (-37 + 24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 2733 and -356400132692.\nAnswer: -356400129959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l*p**3*t**2 + 15993*l*p**3 + l*p**2*t**2 + 11616*l*p**2*t + 2*l*t**2 + p*t**2 - t**2 wrt p?\nAnswer: 60*l*t**2 + 95958*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 280011029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060811647 to five dps.\nAnswer: 0.00608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f3 - -4?\nAnswer: 4f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5432 (base 7) to base 11\nAnswer: 14a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 1308?\nAnswer: 10464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0513631, -0.4, 4?\nAnswer: -0.0513631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 + 129. Let p(u) = -2*u - 5. Let w be 184\/(-30) - (-16)\/120. Let f be p(w). What is the highest common factor of j and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17\/499 - 1383\/25948. Put 2\/7, -4, l, 2\/153 in descending order.\nAnswer: 2\/7, 2\/153, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 - (1 + 2 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (6 - 1 - (590 + -577))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6553, -6768, -6983, -7198, -7413, -7628?\n\"Answer: -215*n - 6338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2142440 and 68772324?\nAnswer: 687723240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82.1 - 20. Let j = -74 + i. Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-3275)\/10)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1757*-720.\nAnswer: 1265040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*g - 27 = 0, g + 81 = 3*c - g. Suppose -c = 2*t - 5*m, 2*t + 4 = m - 3. Let u be (-2*t\/(-2))\/1. Is u smaller than -21\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 406924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2042035 - 4?\nAnswer: -2042043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 32. Suppose -10 = -0*u + k*u. What is the nearest to u in 3, -2\/11, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72409372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2663487 + 6834387. What is r rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)\/z)\/(z*(z*z\/(z\/(z**(1\/16)*z*z*z)))\/z) assuming z is positive.\nAnswer: z**(-1507\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1638.7 - 1639. Which is the closest to -0.08? (a) -3 (b) 11 (c) 0 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 40 = 64210*h - 64206*h, -4*h + 50 = -5*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f - 129*f**2 + 34*f - 49*f + f**3.\nAnswer: f**3 - 129*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6944\/275 - -276\/11. Let h = m + 14\/25. Suppose 0 = 9*n + 28 + 8. Which is the fourth biggest value? (a) 0 (b) h (c) -0.3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from snsussakka.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -264259, -264047, -263835, -263623?\n\"Answer: 212*q - 264471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010, 1299, 1576, 1835, 2070, 2275, 2444, 2571?\nAnswer: 2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 10454\/49 and 212 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*s**4 - s**3 + 2*s**4 + 4*s**3 + 11*s**4 - 7*s**4 + 2*s as w + f*s**4 + u*s + v*s**2 + t*s**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 317, 314, 311?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136352?\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 519 - 410. Let z = o - 109.00217. What is z rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(24\/8*(-8)\/(-32)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {v: 3, x: 1, f: 2, j: 4, h: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (3 + -7)) + -2 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(3) - (sqrt(33)*1)\/sqrt(11) - sqrt(3)).\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**2\/2 + r - 14. Let u be m(1). Let t = -4 + u. Let d(i) = -i**3 - 3*i**2 + 4*i + 5. What is d(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184720.6ug in milligrams?\nAnswer: 184.7206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -8 - 1\/(3 - 2). Let d(q) = 338*q**2 - 2*q - 5. Is d(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 14*w + 52. Let h be d(-7). Suppose 2*t = -4*n - 4, 4*n - 9*n - h*t = 3. Put n, 43, 1 in increasing order.\nAnswer: n, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22132995.\nAnswer: 3, 5, 109, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -2*u - 8, 3*f - 1 = 5*u. Let o = 9 - 5. Solve -x + 5*k - 5 = 0, o*x = -5*k + 3*k + f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*f - 5*f. Suppose 4*g + 4*u - 138 - 2 = 0, 5*g = 5*u + 225. What is the second derivative of f*m**5 - 3*m - 40*m**2 + g*m**2 wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56570*v + 18861*v + 18871*v + 18850*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 162. Let d be c(-41). Suppose 2*i - y = 33, 0 = 3*y - y - d. Let s be 4\/(-10) - 261\/(-15). What is the greatest common factor of s and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f**2 + 0 + 16\/7*f - 4\/7*f**3 = 0 for f.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttatttaya. Give prob of sequence aty.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -1\/5*j**2 - 4\/5*j + 2\/5*j**3 - 20. Find d such that k(d) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-45) + 6\/27. Let o = 0.2 - 0.1. Let j = 0.04 + 0.16. Which is the nearest to o? (a) j (b) 4\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216 (base 8) to base 3.\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169281 - 115126. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 3*a - 6, -2*a = -14*d + 9*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 - 3*g**2 + 2*g**2)*(-324*g + 324*g + 11*g**2) + g**4 - 2*g**4 + g**2 + 3*g**4 to the form w + j*g**3 + a*g + z*g**4 + r*g**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (-68 - -35) - 111.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46308.9 + 5929.1. Let f = t + -52206.99915. Let k = -31 + f. What is k rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkjnpjnwppjwpwp. What is prob of sequence nwwk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033943641 + -1.8.\nAnswer: -1.766056359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -633*g**2 + 3*g - 8. Let x be d(2). Let f = 6121 + x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -88.9263. What is v rounded to three decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 2, p: 4}. Give prob of picking 1 s and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*z = 16, z + 4 = 1. Sort 2, w, -1, 5.\nAnswer: w, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4 - 18252*l**3 - 41641938*l**2 - 42224925132*l - 16056027781443 = 0.\nAnswer: -1521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 395 = 363. Let t be ((-1)\/4)\/((-9)\/(38 - k)). Let h(w) = 22*w + 1. Give h(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*v**2 - 89*v + 91218 wrt v.\nAnswer: 90*v - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 13. Suppose 3*m + 5*y = 42, m - 13 = -b*y + 2*y. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/20117548 and 101\/12802076.\nAnswer: 140822836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 - 2799*w**3 + 159437*w**2 - 1263825*w + 2683700 = 0. Calculate w.\nAnswer: -2855, 4, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 1 = -11*j, -18*t = -2*j - 15*t - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 12*m + 95. Let p be x(10). Solve -2*y - 1 = -3*v, -y - 5 - p = 5*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*z - 20 = 112*z, 5*f - 235815 = 5*z. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*n - 4*s + 44, -11 = n + s. Let c(t) = -4*t**2 + 2*t - 8. Let u be c(n). Round u to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110 - 176 + 18)*(16 + 23*o - 16) in the form f*o + a and give f.\nAnswer: -6164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 21*k + 50. Let a be d(3). Is 27 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 149 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -33*k + 15. Let m(p) = -2*p + 1. Let b(o) = -j(o) + 15*m(o). Let t(l) = 5*l - 30 + 11 + 19. What is t(b(c))?\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 457?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 1 = -12*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 35*m**2 - 199*m - 103. What is h(-28)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x**3 - 2*x**2 - 197*x + 198. What is z(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -4 (c) 1 (d) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:00 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 12:34 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4336037 is divided by 722665?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379900542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 220\/(-55)*(-3 - 0). Let x(y) = 7*y**2 - 6*y - 7. Let p(u) = 13*u**2 - 11*u - 14. Give r*x(l) - 6*p(l).\nAnswer: -l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3 + 5. Suppose 0 = -0*q - 3*q + 6, 3*s + 4*q - 11 = 0. Let f = s + a. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2, 4*r - 9*i = -7*i - 24. Which is smaller: -57\/7 or r?\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 14*h**2 + 17*h - 15. Let f be o(8). Let r(t) = -4 - 29 - 23*t - 22*t - 19*t. Is r(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 93, 3, -1 in increasing order.\nAnswer: -5, -1, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*z + 60 = 16, 0 = -3*r - z + 100. Solve 9*a + r = -13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 36876*o**2 + 0*o**3 - 36912*o**2 - 3*o**3 = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*q = -7, -5*n + q + 37 = 2. Let d(a) = 7*a - a + n*a - 9*a. Let g(j) = 2*j. Calculate d(g(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4734669603?\nAnswer: 3, 19, 113, 735083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 25 = 88 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 152.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -111, -256, -459, -720, -1039?\nAnswer: -1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31606?\nAnswer: 2, 15803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-2)*(-8)\/16. Let m = -4 - f. Suppose m*n = 79 + 152. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -27.2. Let c = r + 3. Put c, 5, -0.4 in descending order.\nAnswer: 5, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 + -1456.\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 3*114\/54*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 3*s = -26*c + 14, -4*c - 18 = s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*m + 5*m = -17, 2*l + 4*m + 14 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4724185.74064368 + 143410.74064088. Let s = l - -4580771. Let g = -4 - s. Round g to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -694 + 699. Let i = 2 + 1. Which is the biggest value? (a) z (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2264541 (base 12) to base 7\nAnswer: -110054011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 971518 and 78804?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*u + 9055*u**2 - 410*u + 786*u.\nAnswer: 9055*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4*s**2 - 10*o**4 + 4*o**3*s**2 - 4*o**2*s**2 - 51*o*s**2 - 69*o wrt o.\nAnswer: 24*o*s**2 - 240*o + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 7516792032105.\nAnswer: -7516792032078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 5. Let y be c(-7). Put -1\/4, y, 0.2 in decreasing order.\nAnswer: 0.2, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 40. Let p(v) = -v. Determine i(p(q)).\nAnswer: 3*q**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78975 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -140454023 (base 6) in base 11?\nAnswer: -166910a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 9*z - 40. Let t(c) = -15*c + 17 - 2*c**2 + c**2 + z*c. Let v be t(-7). Solve -v*b = 0, -3*g + 8*g = 2*b - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 1 + -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-2)\/sqrt(11)*-5 + -5.\nAnswer: -5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 333.5 - 33.5. Let h = 299.8 - z. Which is the fourth smallest value? (a) -3\/4 (b) -2\/9 (c) -2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(544\/34*(-4)\/8)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 14. Let h be 6\/v - 9\/(-6). Solve 3*x - 12 = -h*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haaaahaaahhaahaaaaa. Give prob of picking 3 a.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:33 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ba862 - 2?\nAnswer: -1ba864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5562 (b) -1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 7:46 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 5. Let y = 2 + -7. Let c(k) = -3*k + 8. Determine y*c(o) - 8*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*g + 867*g + 2133*g = 52942 + 25798 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20425 rounded to the nearest 100?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 6 - 2*r**2 + 2*r**2 + 3*r. Let y be h(3). Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 + x - 1. Let d(s) = 8*s**3 + 14*s**2 - 32*s - 2. Let q(g) = 6*b(g) + d(g). Let n be q(-6). Solve -8 = -0*u + n*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 13*q**2 + 11*q - 16. What is x(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/298790 and 13\/597580.\nAnswer: 597580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54439838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 2*i + 1. Let k(j) = -17*j**2 - 14*j + 2. Calculate -k(w) + 5*v(w).\nAnswer: 7*w**2 + 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q - 3*a = -32, -2*a = -q + 8. Suppose i = -q*i + 153. What is the greatest common factor of i and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5, 0*b + 3*b + 35 = 4*r. Suppose 4*l = c + 16, -2*l - r*c + 16 = 2*l. Find the third derivative of -g**2 + 2*g**6 + 29*g**4 - 29*g**l wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -29. Which is greater: 11 or j?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8618*l**3 - 27113*l**3 + 4492*l**3 + 2 - 2.\nAnswer: -31239*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06937 and 5?\nAnswer: 5.06937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159 or 157?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1786943969 to the nearest one million.\nAnswer: 1787000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(63) - sqrt(567)\/(sqrt(45)\/sqrt(5))) + ((-1*sqrt(378))\/sqrt(6) - (sqrt(63) + (sqrt(63) - sqrt(189)\/sqrt(12)))) + 2)**2.\nAnswer: -30*sqrt(7) + 1591\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37974086149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-41)\/(-5) - (-4)\/(-20). Suppose -3*t - 4*a + 8 = 0, 5*t - 10 = -2*a - 3*a. Solve -l = 4*j - 0, k - j = t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and 26\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929365 - 464682 - 464683 - 134*g**3.\nAnswer: -134*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76*30\/3990)\/(((-234)\/21)\/1).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4 + 2. Let h = -1008 + 1013. Let r be 2109\/(-285) + 2\/h. Let s(v) = 3*v - 2. Let x(k) = k - 1. Calculate r*x(q) + z*s(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 44 = -10. Let c be (-45)\/(-9)*s\/(-10). Solve 7*k = c*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*y + y, 3*r + y = 0. Let h(t) = -2*t + 2*t - 4*t - 2 + r. What is the units digit of h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -5. Let t = z - -3. Let k be (0 - (-3)\/(-6))*-90. Calculate the greatest common divisor of t and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/15 and -2\/86905.\nAnswer: 260715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 11 = 4*d, -4*p - 3 - 2 = 3*d. Suppose -2*w - 5*n = -11 - 8, -4 = -4*n. Let r = -6 + w. Solve 0 = -5*b + 2*f - 11, f + p = -r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5*z + 2*z)*(-4*z + 4*z + 3*z**4)*(-1 + 5 - 2).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1642240\nAnswer: 1\/410560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 386510 + 1652278 = 47*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**2 - 10*t + 5*t - 13*t**2 - 1 + t**3 to w*t + a*t**3 + b + o*t**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Suppose -494 = -o*n - 59. List the prime factors of n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304642777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -43*f - 757. What is j(-16)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11422.19579 + -11422. Let m = 0.194 - j. What is m rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-126)\/27)*(-4)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -53*f - 2. Let j be u(-4). Suppose -5*s + 2*s + 3 = -2*c, s - 4*c - 1 = 0. Suppose -o + 22 = s. Calculate the greatest common factor of o and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (0 - 7 - 6046). Let d = v + -1637. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*z = -143*z + 882. What is the highest common divisor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + (-1 - -3). Suppose -50 = -2*l + 4*o, 16 = 6*o - 2*o. Suppose -2*q + 6 = 3*b + 2*q, f*b = 3*q + l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k + k + 2*k)*(2 + 3 - 3) + 0 + 4*k - 7*k + 2)*(-2*k**2 - 4*k**2 + 2*k**2).\nAnswer: -20*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32a1 (base 14) in base 13?\nAnswer: -3cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1477.422304 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -66*c - 16. Let w(y) = -22*y - 5. Let s be (-124)\/1674 + (-56)\/(-324)*93. Give s*w(q) - 5*m(q).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.1. Let q be 10\/18*6\/5. Let c = 4\/3 - q. What is the closest to c in -3, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + (54 - 46 - (0 + 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -4)\/(1\/(-7)). Let z be 2\/(-8) - (-511)\/b. What is the remainder when 12 is divided by 3\/(-3 + z\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) + -1*sqrt(95)) + sqrt(95) + -4*sqrt(95)*-2)\/(sqrt(5) + sqrt(500) - sqrt(25)\/sqrt(5)*-5).\nAnswer: 9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 828c5 - -29?\nAnswer: 82921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 12040.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 169379999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:47 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 5*n**2 - 5*n + 4. Suppose 0 = -3*q + 12, 0 = -3*w + 3*q - 0*q + 129. Let k = w + -43. Determine i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 - -3?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(56))\/(sqrt(72)*2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:48 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-16))\/(1\/(-4)). Let w be (-2)\/n - 6\/21. Suppose 2*k + 70 = 2*x + 3*k, 4*x - k - 152 = w. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 - 3*d - 4. Let y be g(-2). Let l = 22 - y. Let x be (-6)\/(l + 8 - 5). Let i(t) = -t + 7. Calculate i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6194*f - 6421*f = 1816 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1848*0.005\nAnswer: -0.000924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-16) + 1 - 44167\/(-232). Suppose 0 = 8*w - 6*w + 2*p - 380, -w - 2*p + o = 0. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 0, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132729131 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + 72. Suppose 2*x - 66 = -0*x + 3*s, 10 = -5*s. What is the highest common divisor of p and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**21\/j)*j\/(j\/j**(-10))*j*(j**9)**(1\/27) assuming j is positive.\nAnswer: j**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 266\/114187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*71277.2\nAnswer: 420535.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110478 (base 12) to base 7.\nAnswer: -2203601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 + 298*u\/9 - 4148\/3.\nAnswer: 2*(u - 34)*(u + 183)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156.3 + 156.33. Let t = 0 + 0. What is the fourth biggest value in t, -3, -0.5, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -222*k + 80. Let z(b) = -37*b + 14. Determine -6*r(i) + 34*z(i).\nAnswer: 74*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*1\/(-2)*(-5052)\/(-26523).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -248, 2\/5, -126\/17, 13 in descending order.\nAnswer: 13, 2\/5, -126\/17, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.155*-38\nAnswer: -5.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 12758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4471 + 0.3399. Let l = d + -0.007. What is l rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.031 or 0.12?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*sqrt(216)*2)\/((sqrt(96) + sqrt(6))*-4 + sqrt(6)))\/(4*sqrt(192) - (sqrt(768) - (sqrt(768)*-3 - sqrt(768)))).\nAnswer: 5*sqrt(3)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 23 = -4*w, -3*w + 75*b + 6 = 72*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1961, -16611, -56619, -134663, -263421, -455571?\n\"Answer: -2113*f**3 - f**2 + 144*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*c*l**2 + 2*c*l - 19*c - 3*l wrt l.\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -1036738*z + 1036743*z + 108 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 divided by -18.\nAnswer: 179\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-43.5.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16880 + -337501\/20. What is the common denominator of l and 6 + (-13 - -13) + (-458)\/40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f - 3a?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6*4\/(-72))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 14 = -3*o, 14*o - 9*o = 3*u - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Let x(i) = 0 + 3*i - 7*i - 2 + 3*i. Let p be x(2). Is m < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:03 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6373769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 96*n - 375 - 223. Suppose 0 = c - 5*c + 36. Calculate the remainder when n is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38035530 rounded to the nearest one hundred thousand?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195261 is divided by 115.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2856414 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6912 + 472.6912. What is the nearest to 2\/5 in -4, 0.5, d, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/(sqrt(2) + 1*sqrt(2)))\/(-2*sqrt(192) + sqrt(192)))**2.\nAnswer: 17\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 1 = -15*b. Let i = 2 - b. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -2, 58, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 327 + 648 - 322.\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -523 - -559. Let j be (2\/7)\/(h\/252). What is the closest to j in -0.08, 0.01, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -582 (b) 1\/4 (c) 0.46 (d) 4\/5 (e) 0.9 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*q = -8, 2*t + 2*q - 7*q + 12 = 0. Let j = -189 - -195. What is the smallest common multiple of t and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -276. Let t(o) be the first derivative of o**3\/6 + 6*o**2 - 3*o - 3. Let m(z) be the first derivative of t(z). What is m(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188238.9 grams to nanograms.\nAnswer: 188238900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l**2 + 1605*l - 92. What is t(-75)?\nAnswer: -2342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/5 - 1714*d**3\/5 + 9051434*d**2\/5 - 9049718*d\/5 = 0. What is d?\nAnswer: -2599, 0, 1, 1741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/210 + 4\/14. Which is the closest to 0.2? (a) 4 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 94*i = 29078. Let q = i - 437. Let f(t) = -2*t**3 + 4*t**2 - 4*t. Let y(p) = p**2 - p. Give q*f(s) + 12*y(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2757636 divided by 4942.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -b + 2*b. Let k(i) = 4*i**3 + 3*i**2 - 6*i + 3*i**2 + 0*i**3 - 5*i**3. What is the least common multiple of b and k(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117019283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 14*r + r - 24)*(59 - 33 + 82 + (2 - 1 + 0)*(-2 + 4 - 1)).\nAnswer: -1417*r - 109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4 - 2 + 0 + 2*j - 4*j. Suppose 0 = -g + 4*g + 3*n, 5*g - 5*n - 30 = 0. Let i be d(g). Let x(h) = -h**3 - 5*h**2 - 5*h + 3. What is x(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91349 - 149121 = -173*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**2 - 15*h - 15. Let o(n) be the first derivative of n**3\/3 + n**2\/2 + n - 6. Suppose -475*i + 469*i = 6. Determine i*c(g) - 15*o(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(((-56)\/12)\/(-7)). Let n be 44\/(-12)*z\/3. Let d(c) = 8*c**2 + 13*c - 22. Is d(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1024 - 1951 = 0. Is 310 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/71060 and 74\/8415.\nAnswer: 639540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17574, -16426, -15280, -14136?\nAnswer: -12994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = -1. Let b be n\/(5 + -2 - 4). Let h(o) = -o**2 + 1. Let w(y) = 4*y**2 - 7. Let x(u) = -u**2 + 5. Let d be x(0). Determine b*w(c) + d*h(c).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 9:12 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 + (-2)\/(-3). Let j(z) = z**2 + z + 69. Is j(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112.8 + -113. What is the closest to 0.03 in g, 1\/2, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -167.\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.732444 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -270045 times 5\nAnswer: -1350225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38155 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8030)\/146*(-1)\/11. Solve 0 = -3*q + z*c - 7, 17*q + 2*c = 16*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158.243*-0.164.\nAnswer: -25.951852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/15)*p\/p**(-34))\/((p\/((p**(-11)*p)\/p)*p)\/(p**(-1\/5)\/p)) assuming p is positive.\nAnswer: p**(328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + y - 4 = 0, 4*y = -4*x + 16. Solve x = -j + 4*k + 6, 3*j + 2*k = k + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - d**2 - 2*d + 1. Let l(p) = 2*p**2 - 1. Let m(j) = a(j) - l(j). Give m(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Let d = -1 + u. Let h be (d - (2 - 2))*0. Solve v - 14 = 4*p - 0, h = 4*p + 2*v + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -5 (c) -1579\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 + (-262)\/84 + 3. Let l(v) be the second derivative of -h*v**3 - v + 0*v**2 + 0. Let m(r) = 2*r. Give l(m(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 92*j = 93*j + 32, 5*t = -5*j - 60 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 15202?\nAnswer: 45606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*v**6 - 80268*v**4*z - 3*v**4 - 8*v**2*z + 2*v**2 - 8*v*z + 6*v - 48*z wrt v.\nAnswer: -840*v**3 - 1926432*v*z - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/5, 1\/2, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -417*t + 2938. What is d(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2016*j - 102824. Determine w(-51).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*g**4 + 2*g**4 - 88 - g**2 + g**2 wrt g.\nAnswer: -188*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -84*u + 5. Let j be w(-6). Suppose -b + 3*y = 4*b - j, 0 = 3*y - 6. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/20 - v**2 - 41*v. Let a(d) = -3*d**3 + 5. Give 2*a(j) + 5*s(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 374 - 37. Does 55 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 13, 11, 7, 1, -7?\n\"Answer: -t**2 + 3*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*k - 162. Suppose -14*p = -9*p - 75. Calculate the remainder when k is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d + 6*d**5 - 12*d**5 + 9*d**5 wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-6\/13)\/(h*h**1)**(-1\/52))**(2\/3) assuming h is positive.\nAnswer: h**(29\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 810323 at most as big as 810321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-125640)\/12870 + 20\/22?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2178 + 21047. Is 6\/(-4) + a\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + h - 11789 = -11893 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - d - 1. Let b(o) = 3*o + 5*o**2 - 3 + 0*o + 1 + 6. What is -b(l) - 4*r(l)?\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - q**3 + 8)*(0 + 1 + 0) - 2*q**3 + 4*q**3 - 4*q**3 + (-6*q**3 - 11*q**3 - 12*q**3)*(3 - 5 + 1).\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 587520 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1. Let x(d) = -14*d**3 + 5*d**2 - 1. Let f(t) = -n(t) + x(t). Find the third derivative of f(w) wrt w.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*k - 98550. What is k rounded to the nearest one hundred?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 52*r + 1349. Let q be f(-26). What is the second biggest value in 6, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d. Let c be x(1). Let m(p) = -11*p + 5. Suppose 6*a = 3*a - 12. Let y(u) = 5*u - 2. Let v(q) = a*m(q) - 9*y(q). Determine v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 divided by -155543?\nAnswer: 305\/155543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 2) + (4 - 2) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)*u*(u\/(u*u**5))\/u*(u\/(u\/(u**(1\/4)*u)*u))\/((u*u\/u**(-4\/5)*u)\/u) assuming u is positive.\nAnswer: u**(-413\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -4. Suppose -3*r + 34 = 2*a, 2*r = -3*a + 2*a + d. Solve -2*h + 2*f + 13 = 3*h, -5*h + a = -f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (-14 + -1 - -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**4\/5 + 2466*u**3\/5 - 337944*u**2\/5 - 15122394*u + 545004411\/5 = 0.\nAnswer: -119, 7, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6696500?\nAnswer: 2, 5, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4, -6*d + 5*d = -4*g + 11. Suppose s + 1424 = d*s. Suppose 0 = -7*z + 5*z + s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**4\/4 - 10*z**3\/3 + 23*z**2\/2 - 12*z - 306. Let c(p) = 0. Calculate p.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + o + 6*o - 4*o - 4*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 662245.6nm in micrometers?\nAnswer: 662.2456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-8)*(-8)\/2. Let z be -3 - ((-4 - -1) + 0). Let h = z + -7. Let w(b) = -7*b**2 + 5*b + 5. Let x(a) = -10*a**2 + 7*a + 7. Calculate h*w(p) + u*x(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 119*u**2 + 314*u - 224. Give o(62).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 25 - 27)*(-3*m + 2*m + 3*m) + (-3 + 1 + 0)*(-m + 3 - 3) to c + p*m and give p.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4*y - 41042*l**3*y**2 + 52*l**3*y - 7*l**2*y**2 - 189*l**2 - 310*y wrt l?\nAnswer: -24*l*y - 246252*y**2 + 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355563539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**4\/3 - 172*l**3\/3 + 28*l**2\/3 + 1228*l\/3 + 344 = 0.\nAnswer: -43, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*s**4 - 35*s**4 + 2*s**2 - 9*s**4 + 106*s**4 wrt s?\nAnswer: 768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5440220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*j - 18082, 4*w + j - 54272 = 7*w. Is (1 - 3)*(w\/12 - 2) 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 {f: 1, j: 2, a: 1, g: 5, d: 3}. Give prob of sequence jdfd.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.55 to 0 dps.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(11) + 1 + -1) - (0 + sqrt(44))*-2)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -565 + 5?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683027 is divided by 2843.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145501.469 * 5.\nAnswer: 727507.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 144, 4, -622, -3 in increasing order.\nAnswer: -622, -3, 4, 7, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6015 = -35*f + 35135. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z - 3. Calculate j(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224734*b**2 + 47*b - 11*b + 224738*b**2 + 5*b.\nAnswer: 4*b**2 + 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/12 - (-88)\/(-16). Let y be -1 + (-1)\/14*-13. Let p = y + -5\/28. What is the biggest value in r, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 13*k**2 + 15*k - 23. Let u be h(14). What is the units digit of (-12)\/u - (-213)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(3*c - 3*c + c)*(145 + 39 + 61).\nAnswer: 490*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 386117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (454\/(-227))\/((-2)\/(-2) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320610 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -10. Let v = c + 59. Suppose -v - 6 = -3*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 2\/2867865 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 113*s**2 - 1968*s + 12195. Calculate w(-129).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z + 7. Let w = 81 + -20. Suppose 0 = -4*u + w - 1. Is k(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**2. Let p(b) be the second derivative of -643*b**3\/6 + 3415*b. What is q(p(z))?\nAnswer: -3307592*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4244975?\nAnswer: 5, 7, 127, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -448\/9. Let u = 7 - 4. Suppose -11 - 6 = 5*r + u*l, 4*r + 5*l = -24. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 7*s - 11. Let w be c(-8). Let f = w + 10. What is the remainder when 20 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*u - 459, 3*o + 240 = u - o. Let d(l) = -76*l - 2180. Let n be d(-29). Find the common denominator of u\/9*(-1)\/n and 33\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 40 = -0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24504 minus 739.506?\nAnswer: -739.75104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3405173 litres?\nAnswer: 340.5173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-64\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 304*f + 3072.\nAnswer: 4*(f + 12)*(f + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4579718014 to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8801, -4, -3 in descending order.\nAnswer: -3, -4, -8801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**4 + f**3 + 203959*f**2 - 511471764*f.\nAnswer: 132*f**2 + 6*f + 407918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 6, 0.06, -51\/8, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.22 + -13.22. Let x be 6\/(3\/(-2)*1). Which is the nearest to l? (a) x (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423770 to the power of 1\/2, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 12*s - 13. Let l be g(11). Let y be (-6)\/(-4)*l\/(-3). Calculate the remainder when 39*y - (-5 - -3) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*a**5 - a**3*i - 8*a*i - 4*a wrt a.\nAnswer: 1600*a**3 - 6*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - j = 1, -j + 3643 - 3662 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 10. Factor 3*h**3 - 3*h**3 + g*h**3 + 3*h**4.\nAnswer: 3*h**3*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18938 * 0.4\nAnswer: 7575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-15) + 6\/(-15) + -2. Let l(x) = 2 - u*x + 8*x + 6 + 0*x. What are the prime factors of l(15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 40*j**2 + 1426*j - 51268. Give h(38).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 + -520?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-13) + (8 - (-879)\/(-117)). Which is the nearest to -6? (a) 1 (b) r (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 721 + -3602\/5. Factor 1\/5*f**3 + n*f**2 - 4\/5 + 0*f.\nAnswer: (f - 1)*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 50*x**2 + 401*x - 35. Let y be w(40). Solve -d - 3*o + 2 = 0, -4*d + o - y*o = -16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a + 60 = 0. Let f = a - -43. Let k = f - 12. What is the smallest common multiple of k and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72363646813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 1 + 1)*(0*z + 2*z - 4*z) + 0*z**4 - 4*z**4 + 3*z**4.\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -243646.\nAnswer: -243648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 + t - 39. Calculate c(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/15)\/((-4)\/(-10)). Suppose x - c*f + 7 = 0, -x - 5*f = 2*x + 7. Let m = 6 + x. Solve -m*r + 1 = -p, 2*r + 20 = 5*p + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*y**2 - 5 + 2 + 0 - 136*y**2 - 4*y**3 in the form f*y + a*y**3 + x*y**2 + c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d**2 - 3*d**2 + (-d + 2 - 2)*(d - 3*d + 0*d) + 4*d**2 - 3 + 3)*(0 - 2 + 4).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 1, l: 1, m: 1, p: 1}. What is prob of picking 1 p and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 50*h - 29. Give p(-15).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0*p**2 + 0 + 3\/4*p**4 + 3*p - 1\/20*p**5 - 4\/3*p**3. Let h be d(8). Which is the biggest value? (a) 2\/9 (b) 2\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3435 at least as big as -51536\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose 3*d - g*t + 8099992 = 0, 3*t - 11745953 = 5*d + 1754035. What is d rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q - 20*q**2 + 5*q**3 + 12*q + 28 - 28.\nAnswer: 5*q*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 4. Let t be 1\/i*-4*2. Let y(c) = c**2 - t*c**2 - 4*c + c**3 + 5*c**2. Calculate y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:22 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18b3a4 - -3?\nAnswer: -18b3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o + o**3 + 2*o**3 - 4*o**3 - 4*o**3 + (-2*o + 2*o + o**2)*(2*o + 0*o - 4*o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c. Let l be (27\/15 - 2)*(-88 + 103). Put -2, c, l in ascending order.\nAnswer: l, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6776979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(8\/11))\/(x*x*((x*x**(6\/19)*x)\/x)\/x))\/(x**(-1\/18)\/x)**(-45))**26 assuming x is positive.\nAnswer: x**(-269217\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-5)\/((-55)\/20889) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 39*p**2 - 74*p + 3. Let d be b(2). Sort -149, -5, d.\nAnswer: -149, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 14*h**2 - 46. Is t(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Suppose c*d + 2*d = 0. What is d rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 3 + 1)*(0 + 2 + 4) + 3 + 2 - 4 + (-3 + 4 - 3)*(-1 + 0 + 3))*(-3*s - 4*s + 4*s) as h*s + r and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2120797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 15214*r + 8.\nAnswer: 15214*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/40 + (2 + -38)\/(-12). Which is the nearest to 0? (a) l (b) -4 (c) -2 (d) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 244.982 nanometers?\nAnswer: 0.000244982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 51711709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1792*-0.049.\nAnswer: 87.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 24915750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 9*x**2 + 13*x - 4. Let q(y) = -y**3 + 4*y**2 - 6*y + 2. Let p(f) = 5*q(f) + 2*v(f). Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = 0, 2*d = -2*d - j + 12. Suppose 0 = d*l + 3*l - 225. Let a = l + -27. What is the highest common factor of 54 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 7*q + 3*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267852 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 2*i**4 + 0*i**3 + (i**2 + 0*i**2 - 2*i**2)*(8*i**2 + 7*i - 6428 + 6428) - 2*i**4 + 3*i**4 + 0*i**4.\nAnswer: -5*i**4 - 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/210 and -193\/330.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2869, 1, -871.8?\nAnswer: -0.2869","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8580058 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + r**2 - 7*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 153*s. Let z(g) = -224467*g. Calculate q(z(p)).\nAnswer: 50385434089*p**2 + 34343451*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 5*g + 115. Suppose 3*i + 25 = 8*i - 5*u, 0 = 5*i - 3*u - g. Suppose -3 - 1 = -a. Solve -h = 5*k - 17, -a*k - i*h + 13 = -3*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3203314310 (base 5) to base 15.\nAnswer: -8c493a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 144*x**2 + 2477*x + 3. Determine l(-17).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 57. Let l = r + 10. Find the third derivative of -2*j**6 - 21*j**l + 5*j**2 + 0*j**6 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.864*-10\nAnswer: 38.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363941 by 363941.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 856*n + 731*n - 1328*n + 522*n to the form g + y*n and give y.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20770 at least as big as 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6053 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 12*d**2 - 10*d + 15. Let s be a(-11). Sort s, -3, 0.2.\nAnswer: -3, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 532?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 14*t + 484*t**3 + 39 - 15*t.\nAnswer: 484*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/5)\/w))**(5\/11)\/(w**2\/((w**(-9)\/w)\/w)) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 24 = 2*r, m - 2*r + 145 = 169 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -746?\nAnswer: 746.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/1 - 3) + 2. Let j(r) = 3 - 1 + r - 3*r. Let k be j(-5). Solve -k = -h + z*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90 and 218.\nAnswer: 19620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310 + 315. What is the nearest to -2\/3 in -0.2, y, 7, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4.6. Let u = t + 0.5. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -68215?\nAnswer: 2\/68215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -62401 greater than or equal to -62400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293124?\nAnswer: 2, 3, 13, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217556*c**3 - c**2 - 185227 wrt c.\nAnswer: -652668*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0131 - -5.9869. Let w = 1.2 - 0.1. Let s = 0.1 - w. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597884 to the power of 1\/2, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199 is divided by 200?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkmkmm. Give prob of sequence mm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let g(n) = -n + 0 + w + 5. Suppose -5*i + 7 = -5*k + 42, -4*k + 5*i = -32. Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 149*u**2 - 110*u - 68. Is h(33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3645)\/4374*(-48)\/100)\/(-4*31\/5).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 - 24646092*p + 221814585 = 0.\nAnswer: 9, 8215355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by -5?\nAnswer: 104\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-3))\/(2\/(-6)). Let z(t) = -t**2 - 7*t - 5. Let j be z(q). Suppose j*n - 95 - 170 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/11)\/d)\/d)\/(d**0*d)*(d\/(d*d*d**(2\/35)))\/d*d*d\/((d*d**9)\/d*d) assuming d is positive.\nAnswer: d**(-4992\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 2.1. Let q = -3 + 2.9. Suppose 16 = 5*h + i, -4*h - i - 8 = -7*h. Which is the closest to p? (a) h (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03673049041 rounded to 5 decimal places?\nAnswer: 0.03673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 + -22. Suppose -s - n - 4*n + 68 = 0, -o = -3*s - 3*n. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:18 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) - 11\/(-2). Suppose t = -3*f + s*t + 13, -5*f = -3*t - 18. Let q = 6 - 1. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9889*h - 9877*h - 24 = 0. Let s(x) = -x**3 - 5*x**2 + 7*x + 9. Let m be s(-6). Suppose -m*o = -6*o + 9. Solve p = -h*p - o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -6)*1\/3*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -244 - -313. Let p be 0 + -3 + -1 - 68. What is the remainder when k is divided by (p\/(-20) + 0)*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735 at most as big as 2739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 11*y**2 + y + 3*y to v + t*y**2 + w*y and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6167832190048 + -152\nAnswer: 6167832189896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 56. Let p be g(30). Solve -i + 0 = -2*d + 1, 3*i - p*d = 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231210 (base 5) to base 3.\nAnswer: 102101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 497*y**2 - 15*y + 18. Let l(x) = 125*x**2 - 4*x + 5. Determine -15*l(f) + 4*r(f).\nAnswer: 113*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - 2)) + (-121 - -121).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23361279*1\nAnswer: 23361279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129718651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1869582 - -3?\nAnswer: 1869585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -21*v**2 + 149*v - 262. Let p be t(3). Let j(f) be the first derivative of -7*f**2\/2 + 2*f - 2. Let o(a) = -8*a + 2. Calculate p*o(c) + 3*j(c).\nAnswer: 11*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2281*o**2 - 1528*o**2 - 1635*o**2 - 6050 + 1315*o**2 with respect to o.\nAnswer: -8258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-165)\/(-35) - ((-95)\/(-35) + -3). Which is the second biggest value? (a) t (b) 1\/3 (c) -1\/4 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**4*r - 11*p**3*r**2 + 86*p**3*r + 451*p**2*r**2 + 2*p**2 wrt p?\nAnswer: -24*p*r - 66*r**2 + 516*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1946, -4047, -6150, -8255, -10362, -12471?\n\"Answer: -w**2 - 2098*w + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/2799 and -101\/105318.\nAnswer: 32753898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b2 - 9855?\nAnswer: -9663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6857.368 + -6857. Which is greater: -5\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 23. Suppose 0 = 2*g + 2*f - 70, 7*g - 164 = u*g + 4*f. Suppose 0 = 2*o + 4*c - 10, -g = -4*o - 4*c + 2*c. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x + 5*x - 2*x)*(3 + 3 - 5) + 3*x + 1 - 1 + 44*x - 5 - 15 + 22.\nAnswer: 56*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31588.5 rounded to the nearest 100?\nAnswer: 31600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77552102, 77552100, 77552098, 77552096, 77552094?\nAnswer: 77552092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -242719?\nAnswer: 242713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let i(m) = -35*m. Let z(y) = 18*y. Let t(p) = 4*i(p) + 7*z(p). What is the remainder when 54 is divided by t(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z. Let c be -10 - ((-2)\/(-2) - 2). Let w be (3\/c)\/(4\/(-24)). Let m(n) = 2*n**2 + 6*n**w - 9*n**2. Give m(a(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.81 - 2.81. Which is the nearest to -2? (a) 3 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278452 - 139172 - 139155 - 5*n to y*n + r and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185625 is divided by 16875.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70986 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9639003 is divided by 65?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-343)\/(-70) - 5 - 0\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3617\/7 + (-2)\/(-7). Let u = d - 189. Is u a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -22. Suppose 36 = x*a + 4*a. Suppose a*m - m - 230 = 0. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -11*m**6\/24 - 65*m**4\/24 - 65*m**3\/6 + 46*m**2 - 2*m. Let y(f) = -5*f**3 - 6*f - 6. What is -6*s(u) + 65*y(u)?\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:31 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20662215 by -4132443.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.5 + 23.5. Let n = 991\/4 + -248. Sort n, 2, 0.1, j in increasing order.\nAnswer: n, 0.1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1511347485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + sqrt(26) + sqrt(1664))\/sqrt(2) + -1*sqrt(117))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512587523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -13*x**3 + 18*x**2 - 3\/5*x**5 - 12*x - 9 + 9\/2*x**4. Solve j(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 0.1, 5.\nAnswer: 0.1, 0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(118*n**2 - 118*n**2 - 75*n**2) + 1 + 2*n**2 - 1 to the form r*n + l*n**2 + s and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481836485.\nAnswer: 5, 13, 19, 390151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13931, -13933, -13935?\n\"Answer: -2*v - 13929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 262\/6 - (-1)\/3. Suppose -2*q + 0*q - 3*u = -o, -5*q + 88 = 2*u. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.2 (c) 3\/7 (d) 1.31 (e) -3 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 6 = c, 5*c + 2*f - 14 = 0. Put c, 0, 12 in descending order.\nAnswer: 12, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 * -43929.\nAnswer: -5930415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:15 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107, 291, 605, 1043, 1599, 2267?\n\"Answer: -x**3 + 71*x**2 - 22*x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75, -522\/119, -4, 4\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*i + 5, y + 4*y = -i + 25. Solve 3*l = -i*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + -1a302?\nAnswer: -1a327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/s**(-2\/7))**(1\/14))**(-3\/7))**(-48))**(-22) assuming s is positive.\nAnswer: s**(-25344\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 44*f + 1000. Determine u(-27).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363407.3ml to litres.\nAnswer: 363.4073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8032*y - y**2 + 94*y + 2290*y to the form s*y**2 + w + x*y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30794?\nAnswer: 2, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2746461*m**3 + 11502104*m wrt m.\nAnswer: -16478766*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/20 - (-2)\/5. Let l(n) = -2*n + 11. Suppose -26 = -2*d - 20. Let q be l(d). Solve 0*v + q*m + 19 = -3*v, b = 3*v - 5*m - 31 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(4\/448*-2) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {q: 5, f: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/600 + f**4\/30 + 2*f**2 - 2. Factor u(b).\nAnswer: -b*(b - 2)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 4. Let z be r(4). Suppose -q - 2*s = -2, -5*q - 2*s + 0*s + 10 = z. Let k = 0 + -5. Sort q, k, -2\/11 in descending order.\nAnswer: q, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 20?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(75*172\/(-1935))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 107\/947690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/50)\/(23\/(2990\/(-12)))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/46 and -1 - 15\/(-54)*(-8 + 5).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15 - (-105)\/50.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 332\/36 - (4\/18 + 0). Let n be (h\/66)\/((-6)\/8 + 0). Do -1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 1109 + 271 = 0. Is v a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57\/2 of a kilogram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593496, 1186979, 1780462, 2373945, 2967428, 3560911?\nAnswer: 4154394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 76146 (base 14) to base 6\nAnswer: 10042214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:52 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8414 + -2144. Suppose -7*n + 6285 = -2*n - 2*o, 5*n - m = 5*o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 9\/4 - (-15)\/20*5. Solve -24*x + 28*x = u - 15, v*u - 5*x = 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*h + b, -h + b = -2*b + 7. Suppose m + 3*p - h = 6, 5*m = -4*p + 44. Solve -3*u = -u + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ca5a2 (base 13) to base 10\nAnswer: -365679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 4576 = 28*a + 103*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47805643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 5) to base 16.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -723, -804, -913, -1038, -1167, -1288, -1389?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/164*6\/1)\/((-3)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -177, -1, 3?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(160) - -1*sqrt(160))\/sqrt(4))\/((sqrt(224)\/sqrt(4))\/sqrt(7)) + 0).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74043684*l**3 - 783540*l**2 - 2*l + 129?\nAnswer: 444262104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1995 and 345.\nAnswer: 45885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 2.35, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 146 = 4*n + g, 14 = n - 5*g. Suppose 0 = 5*q - h + n, -2*h + 36 + 0 = -4*q. Does 4 divide 1\/7 + (-55)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150906*i**3\/17 + 301820*i**2\/17 + 150922*i\/17 + 8\/17.\nAnswer: 2*(i + 1)**2*(75453*i + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -4496\/9 and -501 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(272) + sqrt(272).\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -12. Let k = -68 - -76. Suppose -k*v + 46 = -18. What is the lowest common multiple of v and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5225*x - x**2 + 2*x**2 - 2603*x - 2622*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*s + 114*s = 3151 + 1791 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -2 + -2 + 8. Suppose 0 = q*a + 28 - 20. Let c(y) = 2*y + 1. Calculate c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o**2\/3 - 4216961*o + 1581360 = 0.\nAnswer: 3\/8, 1581360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2)\/((-12)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*c**3 - 3*c**2 + 6*c - 21 wrt c?\nAnswer: 408*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516.688ml to litres.\nAnswer: 0.516688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q + 1. Suppose -5*t + 3*n = -0*n - 493, 4*t - 420 = -4*n. Suppose t = 5*x + 16. What is the remainder when m(-6) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 215451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3\/77, 1\/4, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 0*q - 3*q + q**2 + 0*q. Let b be u(6). Let d(a) = -a - 7. Calculate d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 164, -2\/3, -4\/57?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -6*u**5 + 3*u**4\/4 + u**3\/3 + 15*u**2 - 24. What is the third derivative of w(o) wrt o?\nAnswer: -720*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 - 14*b**2 - 2605*b + 21. Let d(q) = 3*q**3 + 10*q**2 + 1736*q - 15. Calculate -7*d(s) - 5*g(s).\nAnswer: -s**3 + 873*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6860529, 13721056, 20581585, 27442116?\nAnswer: 34302649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 34. Let d be 90\/25 - (-4)\/x. What is the first derivative of u + 14*u**d - 15 - 8 - u wrt u?\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726509411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0767 minus -1?\nAnswer: 1.0767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 97 = 203. Let p be (-4)\/5*q\/(-6). What is the units digit of ((-2)\/4)\/(1\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71622 <= -71622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*y - 2176 = 381*y. Let o = -1152 + y. What is o rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6175 + -3375. Is a a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 times 0.4?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (5 - 5) - (6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1330 and 3971380.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -501442 - -888949. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126893?\nAnswer: 13, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4*d + 4*d)*(-d - 51 + 51)*(-4 + 4 + 3*d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1961777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28626043 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*y**3 + 44160*y**2 + 4562505*y + 111489210 = 0 for y.\nAnswer: -159, -882\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -15, 0 = -u + 2*p - 22 - 28. Let h = -55 - u. Solve -2 + 44*z**4 + 4*z - 16*z**h + 2 - 30*z**2 + 34*z**2 - 36*z**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 6, j: 6, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644671?\nAnswer: 644671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -304.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*6\/(-6)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/2 - 1 - 0. Let q(j) = -1. Let h(f) be the first derivative of -f**2 - 4*f - 42. Give t*q(x) + h(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 564140 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150856305?\nAnswer: 3, 5, 2377, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2730, -10109, -22408, -39627, -61766, -88825?\nAnswer: -120804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/4)\/((-466)\/(-68) - 7) and 28\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 14*c + 74. Does 42 divide m(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 4 (b) 1\/5 (c) -1\/7 (d) -18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 59*n - 78. Let u be w(28). Suppose s + 0*s = -18. Let d = s - -18. Solve -x - x + u = d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 177 - 44. Solve -9*o + j*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 6.2 (c) -17839\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14982 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**2 + 30*q - 5. Let n(d) = -d**2 + 5*d - 1. Let x(w) = -i(w) + 5*n(w). Let c(r) = -34*r. What is c(x(h))?\nAnswer: -34*h**2 + 170*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 426*i - 217*i - 205*i - 9.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 835530 and 1253295.\nAnswer: 2506590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -236 - -344. Suppose 59*m - 58*m - o = 103, 3*m - o - 295 = 0. Calculate the lowest common multiple of m and x.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2663875 and -64\/37875.\nAnswer: 7991625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 3148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-2)\/sqrt(192) + 5)**2.\nAnswer: -5*sqrt(2) + 51\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 14*g**2 - 3*g + 8. Let r be m(14). Let w = 21 + r. Let n be 2\/18 + (-24 - (-3146)\/117). Sort n, w, -5 in increasing order.\nAnswer: w, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 p when three letters picked without replacement from qppqwqqwq.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1072501373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9436 and -0.07.\nAnswer: 0.066052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.394 and -0.1.\nAnswer: 0.3394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:43 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:08 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3 - 2528652*b**2*u**2 + 32732409*b*u**2 + 2*b wrt b?\nAnswer: 18*b - 5057304*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(833) - -2*sqrt(833)) + -2 + (sqrt(833) - sqrt(833)*2) + sqrt(833))**2*-6.\nAnswer: -1619376 + 3024*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -54*g**2 + 6*g. Let i(o) = 109*o**2 - 13*o. Give -6*i(v) - 13*n(v).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330844, 1323390, 2977632, 5293570?\nAnswer: 8271204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Let b be (r\/(2 + 2))\/(-2). Solve -3*t - 4*i - 23 = 0, -t + 0*t - 4*i - 21 = b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*w = -0*x - 12, 5*x - w - 54 = 0. Let t be -6 - (0 + (-58)\/4). Find b, given that -2*b**3 - x*b + t*b**2 + 2 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -417 - -419. Suppose 0 = -g - 3, g = -5*y + 6*g - 10. Which is the nearest to 2\/5? (a) -5\/3 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -917 + -8?\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253.8 + 252. Which is the closest to 0.1? (a) 0.1 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**3 - r**2 + r - 4. What is the hundreds digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/10*836\/(-176)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from quttquttuttqdtuqu?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16987, 33971, 50955, 67939?\n\"Answer: 16984*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and -900.577.\nAnswer: -915.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*p - g - 343, p - 99 = g. Let q be 2\/7 - p\/(-21). Suppose 0 = -4*o + 9*o - 50. What is the greatest common factor of q and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*l = -455*l - 185 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 1:55 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 7*i + 3. Let u(p) = p + 1. Let v(y) = 2*y - 1 + 0*y - 3*y - 2*y. Let z be v(-2). Determine z*u(r) - j(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-6)*(-2)\/(-2*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*r - 222*r**3 + 444*r**3 - 11*r + 116 - 218*r**3 wrt r.\nAnswer: 12*r**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*v**2 + 0*v**3 + 17*v**3 - 16*v**3 - v**4 + 2*v to b + t*v**4 + y*v + m*v**3 + l*v**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1538 + 1541. Which is the biggest value? (a) s (b) 0.3 (c) 2\/13 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24385075 and 1463.\nAnswer: 170695525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 12, 5*j - 2*p = p - 1143. Let f be (-3)\/(-4) + j\/196. Let h(l) = -l**2 + 3*l + 4. Let m be h(4). Is f less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -53. Let u = n - 23. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 123035072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) 256 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78158599229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.3. Let m be (2\/(-5))\/((-4)\/5). Let n(t) = t**2 - 4*t - 4. Let u be n(4). Which is the nearest to j? (a) u (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1916470\/21 - 91232. Let a = 418\/43 + -18320\/301. Let z = j + a. Calculate the common denominator of z and 37\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4, -3*v = -4*u - 0*u + 34. Suppose 3*y + 840 = u*y. Suppose -3693 + y = -9*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 66, 67, 64?\n\"Answer: -2*s**2 + 11*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1265.3\nAnswer: -379.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -31*x**8\/84 - x**7\/105 + x**4\/4 - 16*x**3\/3 + 970*x**2. What is the second derivative of j(w) wrt w?\nAnswer: -2480*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23679 and 150201?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444\/3367*-7*6630\/(-68)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471985 rounded to 2 decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 909.7278 centuries?\nAnswer: 1091673.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -12766*t**3 + 7*t**2 + t**2 + 10*t + 12765*t**3. Let o(g) = -3*g**2 - 3*g. Calculate -3*d(n) - 8*o(n).\nAnswer: 3*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 318269023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5472*q**5 - 13*q**3 + 3*q**2 + 30315*q + 11 wrt q?\nAnswer: 109440*q**3 - 78*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*r + 2*r + 0)*(-5 + 5 - r)*(-2*r + 2 - 2).\nAnswer: -4*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577 is divided by 88.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from hjhfxxffhfffxx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20 = -9*s. Let l(t) = 1. Let k(n) = 3*n - 1. Let c(v) = k(v) - l(v). Let x be c(4). Solve 0 = s*i + i - x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.69 rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 51983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -v, 3*h - 3*v = 2*v. Solve 0 = -3*s + 2*x - 17, h = -s + x - 2*x + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6712 and 9583058.\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51875633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -581*r**3 + 432.\nAnswer: -1743*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 12\/11, -3, -9\/4?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-1491))\/((6192\/(-602))\/(-18)))\/(2\/6).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 4 = 5*a. Solve -5*m = -2*d - 13, -a*d + 0 = -m - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 + 823*f + 17325. Calculate z(225).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(5 + 2*y - 5)*((-2*y + 3*y - 3*y)*(1 - 4 + 4) + 10*y + 12*y + 13*y) - 2*y**2 - 2*y**2 + 6*y**2.\nAnswer: -130*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -173, -336, -591, -968, -1497, -2208?\nAnswer: -3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 479*p**5*z**2 + 2*p**5 + 299*p*z**2 wrt p.\nAnswer: 9580*p**3*z**2 + 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 122.3967.\nAnswer: 367.1901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**6\/24 + c**5\/30 - c**4\/12 + c**3\/6 - 5*c**2\/2 + 22*c. Let k(f) be the first derivative of q(f). Calculate k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 1)*(3*q - 2*q - 2*q + (-q + 0*q + 2*q)*(2 + 1 - 1) + 29*q - 201*q - 108*q) to the form i + z*q and give z.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-19)\/(i**(-23)*i) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 92*b - 4232. Calculate l(47).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*(-60)\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) - sqrt(600)*1)*-2)\/(sqrt(24)\/(sqrt(8)*-2) + sqrt(12)\/(sqrt(8)\/sqrt(2))))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + 0 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 16*y**2 - 17*y - 7. Let a be d(-17). Let t = a - -11. Suppose 10 + 16 = t*b - m, b = m + 5. Solve 2*n - 1 = -b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 47*q**2 + 6*q - 1. Calculate u(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*c**(-1\/11)*c)\/c))\/((c\/(c*(c\/((c**2\/c)\/c))\/c*c)*c)\/c))\/(c**(-14)\/c**11) assuming c is positive.\nAnswer: c**(298\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 + 144*j**2 - 276*j + 136 = 0. What is j?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 117*r + 112. Determine l(59).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 + 298. Factor 0 - 2\/7*w + 4\/7*w**2 - 2\/7*w**p.\nAnswer: -2*w*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-23)*y*y*y**32)\/(((y*y*y*y**(-24\/5))\/y)\/((y*((y**(-2\/13)*y*y)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(3942\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 419999183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 499138246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 8 = 4*n, 22*n - 20*n = -3*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1 - (2 - 3414\/476). Let j = 8\/17 + l. Find the common denominator of 111\/20 and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/8*(1 - -1). Let y be 1\/(-3) - 6\/f. Let l be (-10)\/4*12\/105. Which is bigger: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2752.3, -1, 2\/17, 3\/2, -2\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) -240 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 917.2 - 917.1990566. Round h to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 90709 = 90129 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3781 and 13333?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 5*l**2 - l - 5. Let w(s) = 7*s**2 - 12*s + 6. Let b(a) = 15*a**2 - 24*a + 17. Let n(x) = -2*b(x) + 5*w(x). Let j be n(3). Determine f(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -205*y + 10. Suppose -5*w + 16 = -3*h - h, -2*w = -h - 4. Let o be d(h). Round o to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*3\/16 - 1060917\/(-52) 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 27882.\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 744\/(-18) - (81\/(-216) + (-1)\/(-24)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293773 is divided by 2581?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2)*m)\/m*(m\/(m\/m**(-13)))\/m)\/(m**18*m**4) assuming m is positive.\nAnswer: m**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1024)\/(-96) - 21\/(-9). Is o > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25008*v + 25026*v - 50077*v.\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2533 + -2527. Let j = -0.18 + 0.08. Which is the closest to j? (a) m (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6 - (-3)\/6. Suppose -7 - 29 = -v*z. Calculate the lowest common multiple of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.7 (b) -5\/4 (c) -1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 + 8*w**2 - 7*w**3 - 5*w**2 + w**3 + 2*w**3 - 2*w**2.\nAnswer: -4*w**3 + w**2 + 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 8 = 2*d, 2*d + 1452*p - 11 = 1447*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118739770 rounded to the nearest one million?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w = 6, -4*x + 4*w - 4 = 0. Suppose 5*d = 5*z + 10, -3*z - 2*d = -x - 2. Sort 5, 3, z, -3.\nAnswer: -3, z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/7 + 132*x + 910 = 0. What is x?\nAnswer: -455, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 317\/4?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -299045057 + 170?\nAnswer: -299044887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 32*l**2 - 8*l + 12 + l - 26*l**2. Let c be j(2). Let x = 31 - c. Solve 4*u + x = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 52\/105*g**7 + 0*g**4 + 20 - 3*g**2 + 0*g**3 + 0*g**6 + 0*g - 11\/15*g**5. Find the third derivative of c(d) wrt d.\nAnswer: 2496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/105*((-1)\/2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*((-5 + 2 + 0 + sqrt(243))*1)**2*2.\nAnswer: -6048 + 1296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 61?\nAnswer: 29\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3085582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*u + 143 = 0, 2*u - 5*u = 2*s - 141. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 5*s**2 + 12*s - 10 - 4*s**2 - 2. Let p be z(10). Solve 5*d + p = -12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55467697811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -7. Let i be 19\/5 - x\/20. Suppose n + n = -2, i*n - 5 = -w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26011077 (base 8) in base 12?\nAnswer: 1b24227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -5.03. Let m = -12 - -10.2. Let i = m - -0.8. Is i equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3492525 is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:46 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + (-10 - -8) + (-4 - 24).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106131591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(-1\/8))*g*g*g**2)\/(g*g**(2\/3))**(-8\/5) assuming g is positive.\nAnswer: g**(187\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54860 is divided by 6027?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 0, -0.3, -3\/7 in decreasing order.\nAnswer: 112, 0, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 2*j + 11. Let d(y) = -y**2 + 1. What is 5*d(k) - q(k)?\nAnswer: -3*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 74, 6, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.2. Let u = 0.1 + q. Let s = 29980 - 29983. Which is the closest to 1? (a) 0 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155130 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440579?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**6\/60 + u**5\/30 + u**2\/2 - 1. Let h(c) be the second derivative of f(c). Suppose h(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-376)\/(-60)*(-92)\/552*45.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*i + 3*i**2 - 48*i - 57*i**2 + 23 - 28*i**2 as r*i**2 + p + g*i and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*b = -145*b + 26145. List the prime factors of b.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 3870.439139312?\nAnswer: -3874.439139312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 120769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12758 is divided by 12689.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12921831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/x**2*x))\/x*x)\/x)\/(x**4\/x)*(x\/(x**(-2\/5)\/x))\/(x*x**(-1)*x*x*x))\/(x**0\/x*(x\/x**3*x)\/x*x**(-1\/8)*x**(-1\/4)) assuming x is positive.\nAnswer: x**(-9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.997 and -3.8.\nAnswer: -11.3886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -3298, 4, -536 in ascending order.\nAnswer: -3298, -536, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329 + -395. List the prime factors of 36\/66 - 39036\/o.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbbbbbbbb. Give prob of sequence bdd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) -0.4 (c) -1\/410 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 815*q**3*v + 70*q**3 - q**2*v + 75*q*v - 1121*v wrt q?\nAnswer: 4890*q*v + 420*q - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-344)\/1892*-1*187.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q = -4*p + 44*q + 2940, -25 = -5*q. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 137, 399, 661, 923?\n\"Answer: 262*v - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.339 times -281?\nAnswer: -95.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 226100 = -4*f, -4*f + 36739 = s - 189349. Let z = -100741 + f. Round z to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 10 - 0. Suppose 1 - s = -2*t. Suppose b + 2*f - 6*f - 22 = 0, t*b - 17 = -f. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 6:08 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4 = 4*t + 3*j, -5*j + 1 = t. Let i = -2776\/15 + 185. Is t < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-495)\/(-60) + 3\/4 - -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -8*n + 370. Let q = 11267\/12 - 933. What is the common denominator of q and n\/12*(-112)\/(-42)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j + 224664 = 48*j + 44*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171.92 + -169. Let j = 0.08 + r. Let c = 49 + -48. Put 2\/3, j, c in ascending order.\nAnswer: 2\/3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1232, -1270, -1364, -1544, -1840, -2282?\n\"Answer: -5*m**3 + 2*m**2 - 9*m - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 30 = -r. Suppose 0*w + r = 5*w. Suppose 5*x - p + 2*p = -1, -2*p = -5*x + 2. Solve 2*z + 2*u - 8 = x, -4*u = -w*z + 6 - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 - -100110?\nAnswer: 1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165600145 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, o: 2, u: 1, t: 2}. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1083 - 1015. What is the greatest common divisor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*n + 25, -4*n - 2*w - 11 = -1. Let g = 0.3 - 0.2. Which is the closest to g? (a) -4 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*f - 10 = -140*f. Let a be (-261)\/87 - (f + -5*1). What is the highest common divisor of a and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = -2*s + 12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/69381 or -1\/14?\nAnswer: -2\/69381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(11*j**3 - 8*j**3 - 6*j**3).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, w: 5, h: 3}. Give prob of picking 1 h and 1 w.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Let m(g) = -g + 2. Let w = 7 + -10. Let f be m(w). Calculate the greatest common divisor of x and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4752 and 495.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 492\/5*z + 98 + 2\/5*z**2.\nAnswer: 2*(z + 1)*(z + 245)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 0, 0 + 16 = 4*l + 4*i. Solve -3*r - 4*m - 4 = 0, l = m + 2*m + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 + (-114)\/(-15). Let p(c) = -c**2 + 9*c - 6. Let x be p(k). Suppose t = x*t - 6. Solve -h = 1 - t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10103 (base 4) to base 6\nAnswer: -1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + -1 + (-28)\/(-14). Let b be ((-1155)\/(-196) - 6)*(-4)\/d. Let x be 9\/6*(-2)\/3. Is x >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 12*m**2 + 22*m + 11. Let y be q(-8). Let u = 147 - y. What is the lowest common multiple of 24 and u?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**10\/20160 + q**9\/10080 - q**8\/2240 - q**4\/3 - 6*q. Let i(g) be the third derivative of j(g). Factor i(t).\nAnswer: 3*t**3*(t - 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 + 7786788313*m - 48*m**2 - 23*m**2 - 7786788313*m - 2*m**3.\nAnswer: -2*m**3 - 59*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - y - 4)*(-20*y - 167*y - 382*y) + (0*y + 0*y - 3*y)*(-y + 3*y - 5*y) as o*y**2 + z*y + x and give o.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(1*-1))\/(503\/(-3521)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 3, 24, 314, 5.\nAnswer: 1, 3, 5, 7, 24, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, d: 1, y: 6}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 674 - 638 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:05 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10159 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053110227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let y(v) = 1 - 2*v**2 + 2*v + b*v**3 - v**2 + v**2 - 2. Is y(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-168)\/87 - 6\/(-348)*-4. Suppose 0 = -4*d + 3 + 5, 0 = -4*l + 2*d - 16. Sort l, 0, -27, q.\nAnswer: -27, l, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j + 13*j - 47*j + 12*j + 10*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -17. Let t = l + 0. Let f(m) = m**3 + 6*m**2 - 8*m. What is the units digit of f(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46741*h*u**3 - 149*h*u**2 - h*u + 514*h + 2*u**4 - 18*u + 101 wrt u?\nAnswer: 280446*h*u - 298*h + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -94, -93, -90, -85, -78?\n\"Answer: k**2 - 2*k - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*i - 23, -4*i + 45 = 5*z + i. Solve 25 + z = -12*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 39*v**2 + v + 83. Let r be h(-39). Suppose -4*l - r = -48. What is the closest to -1 in -2\/5, 5, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, r: 1, k: 2, l: 1, c: 1}. What is prob of sequence cg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/60*24\/(-27).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3.81?\nAnswer: -19.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 2*n**4 - 3*n**4 + 2*n**2 - 2 + 2*n**3 + 4*n**4 - n - 23*n as a*n**4 + u*n**2 + f*n + k*n**3 + r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6646218 + -5017896412\/755. Let j = h - -2\/151. What is the common denominator of -11\/8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*h - 40 - 2 = 0, 150 = 4*c - 2*h. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121044500 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9605, 38429, 86471, 153731?\nAnswer: 240209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 718, 794, 942, 1168, 1478, 1878, 2374?\nAnswer: 2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5.686, 11, -4, 4, 98 in descending order.\nAnswer: 98, 11, 5.686, 4, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13489627 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g. Let q be s(-1). Suppose 20 = -5*t + q*t. Calculate the highest common divisor of 40 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 5. What is the units digit of g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**4 + 76*l**3 + 295*l**2 - 155*l - 1166. Let w(d) = -4*d**4 + 102*d**3 + 394*d**2 - 207*d - 1554. Let z(o) = -15*k(o) + 11*w(o). Factor z(p).\nAnswer: (p - 22)*(p - 2)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197640 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*k**6 - 288*k**2 wrt k.\nAnswer: -29520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + c**3 + 4 - 59 + 4 to f*c**3 + t*c + v*c**2 + d and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2326.8 - 2089. Let o = s + -238. Let k = -3.1 - -3. What is the nearest to k in o, 2, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14))\/(-10 + 8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(408)\/((sqrt(200) - sqrt(8))*-4))\/(sqrt(15)\/(-1*sqrt(5))*-4)*-6)**2.\nAnswer: -3943\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 64.5419 milliseconds?\nAnswer: 64541.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d**2 + 36*d**2 + 38*d**2 - 9*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0 - 242*j**2 + 0*j + 0*j**3 + 0*j**4 + 1\/12*j**5. Let a(o) = -14*o. Determine a(g(k)).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 101. Let u(v) = -2*v + 4*v - 6*v + 2*v**q + 0*v + 3. What is u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -7 - (5 + 0 + (8 - 4) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 96125.86cm?\nAnswer: 0.9612586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1715, 1677, 1637, 1595, 1551, 1505, 1457?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) - ((sqrt(7) - (sqrt(14)\/sqrt(2)*6)**2) + sqrt(7))).\nAnswer: -sqrt(7) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29160, 29163, 29168, 29175, 29184, 29195?\nAnswer: 29208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-3)\/(-1))*(-104)\/((-4680)\/(-1305)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q - 165. Find the second derivative of q*o**5 - 65*o**5 - 9*o + 31*o**5 wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 s when four letters picked without replacement from {s: 9, a: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 + g**2 - 2*g - 2. Calculate n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*q + 2129946 + 327454, -3*q + 614364 = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 0*y - 5*y - 15*y**2 + 2*y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 61*b**2 - 76*b + 348. What are the prime factors of x(-61)?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92.7 + -134.6. Let x = d - -37. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -885 - -884. What is the smallest value in 2\/3, 26, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -3 + 2 + -2 + 6 - (65 + -147)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 147*n**2 + 70*n + 1217. Give s(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - f**2)*(-f**2 + 6*f**2 - 3*f**2) + 2*f**3 - 7*f**2 + 7*f**2 - 5*f**4.\nAnswer: -7*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-5)*(-50)\/30. What is the second derivative of 31*q**4 + 29*q + 38*q**f - 38*q**3 wrt q?\nAnswer: 372*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 3367 = -23*u. Let n = u - 256. Solve -2*f = -5*s + 3*f + 15, n*s = -5*f + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 6*t**2 - 5*t - 4. Let l be n(-5). Let b = -137\/3 + l. Let x(g) = -g**2 + 7*g. Let h be x(7). What is the nearest to h in -2\/5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4467*f**5 - 74*f**4 + 5*f**3 - 20*f**2 + 22*f + 10760 wrt f.\nAnswer: 268020*f**2 - 1776*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjcc when four letters picked without replacement from {c: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153)*3 + -3*((sqrt(153) - (sqrt(153) - sqrt(153)*-2)) + sqrt(153) + sqrt(153)))\/((sqrt(1125)*2)\/(sqrt(35)\/(1*sqrt(7)))).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -3*v**2 + 1\/180*v**6 + 0*v**5 + 0*v**3 + 0 - 1\/36*v**4 + 0*v. Let d(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Suppose 0 = -155*l + 153*l. What is the first derivative of 12 - 7 + l*w - m*w wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 u when four letters picked without replacement from {u: 7, s: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-3 + 9) - -54. What is the third derivative of -3*w**2 + 3*w**5 - x*w**3 + 20*w**3 - 2*w + 29*w**3 wrt w?\nAnswer: 180*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.31385g in milligrams?\nAnswer: 97313.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + f - 1. Let v(t) = -1600*t**3 - 320*t**2 - 160*t + 160. Determine -160*r(x) - v(x).\nAnswer: 1600*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 502485568+-859\nAnswer: 502484709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmhhhcohhchchh. What is prob of sequence coh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46313 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:58 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*h - 42, -h + 15 = 4*n - 6. Is 6 a factor of 138\/h + 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 95798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366239 is divided by 366055?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15480 = 9*l - 16443. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*l - 5*l**3 - 734*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 38*y + 3. What is j(3)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2645 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5\/5 + 1099412*l**4\/5 - 75597474076*l**3\/5 + 1465028883532*l**2 - 173852810754784*l\/5 - 181253553745936\/5 = 0?\nAnswer: -1, 49, 137378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 4. Suppose -5*g - 3*t + 15 = 0, f*t - 10 = -4*g + 3*g. Let j = 29 + -26. What is the closest to g in 0.1, j, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/10)\/((-2)\/10). Let d = 373 + -647. Let f = d + 282. Put a, 5, f in increasing order.\nAnswer: a, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w - 3. Let p be i(-3). Suppose 0 = -3*s - g + 513, 2*s - 4*g = -0*g + 356. Let h = 182 - s. Calculate the highest common factor of p and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7551 divided by -3\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -1\/3, -0.2355, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734467051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1600 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.809 rounded to 0 decimal places?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - p - 219, 2*d - 438 = 26*p - 27*p. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(51\/18 - 6\/18). List the prime factors of 4*5\/(-50) + 10101\/s.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-143)\/(-13))\/(-99))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-3)\/(-210)). Let q = f - -53. What is the remainder when 35 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.05, 5, -1.\nAnswer: -1, -0.05, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348031.\nAnswer: 348031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -5 - (-1 + 2) - -40 and -5*2*(-81)\/135.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y + 4*w + 14, -y + 7 = w. Suppose -7*m + y = -6*m. Is 36*((-77)\/(-2))\/m a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 1 (c) -23.1 (d) -46 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 16. Suppose 14*q + c = 15*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let a = 1 + q. Suppose 4*z - 22*x + 24*x - 8 = 0, 3*z - 11 = -4*x. Does z = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 110\/(-15) - 2\/6. What is the greatest common divisor of 96 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 + 2*i. Let v(h) = -h**2 + h. Let d(p) = 7*p**2 - 2*p + 1. Let l(w) = -d(w) - 4*v(w). Let y be l(-1). Let a be r(y). Is 12 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:38 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/60 - 5*j**4\/6 - 13*j**3\/3 - 2*j**2. Calculate the remainder when t(-15) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291 + 309. What is the least common multiple of 7 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241 + 158. Let n = p - -110. Let g(w) = -37 + 19 + n + 3*w. Let f(i) = 2*i. Calculate f(g(t)).\nAnswer: 6*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*q + 6*q - 2*j, 5*j = -3*q + 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.3 (b) 7 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from dptrsjd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351\/(-312)*8\/(-6)*(-28)\/42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.6, 160\/3593, -4, 3, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.86, -2\/83, -74\/7, 0.5, -5\/2 in descending order.\nAnswer: 6.86, 0.5, -2\/83, -5\/2, -74\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 7*d + 1. Let r(x) = 2*x**2 - 15*x + 1. Let o(m) = 9*l(m) - 4*r(m). Let c = 6 + -2. Determine o(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - a**3 - a**2)*(-161 + 54 - 89) to the form h*a + u*a**3 + v + g*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.3, -0.3, 1.1, 7661?\nAnswer: 7661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:06 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 9, e: 6}. Give prob of sequence su.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 12*k - 23. Determine u(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36194)\/(-2))\/(19 + -18) + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/3*3\/(-15) + (40\/15)\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 593 - 4*t**2 - t**3 - 593 - 3*t**4 + 4*t**3 as g*t**4 + a*t + q + o*t**2 + z*t**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1381 - -1.01?\nAnswer: -1379.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-4))\/(1\/(-420)). Suppose 3*y = 15*y - t. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5586 is divided by 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - -25.93. Let m = b - 27.9. Round m to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9*x + 400 = 0. Suppose 42*o = x*o + 46. Solve 2*a + 4 = m, -7 = -5*m + a - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 9*x**2 + 3*x + 13. Let z be s(5). Solve -z = -2*q - q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b - 8*b**2 - 2*b - 2*b**4 - 2*b + 26*b**2 + b**3 wrt b?\nAnswer: -48*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14549.69 years to decades.\nAnswer: 1454.969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + (-3786)\/(-266) + 0\/2 + -1. Is 1 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-1 + 2))\/2. Let c = 11 - 17. Let o = c + 5.7. Put -1\/4, v, o in ascending order.\nAnswer: v, o, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2625.68 + 2644.6. What is d rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/9 + 556*k**4\/9 + 17992*k**3\/9 - 57292*k**2\/9 + 58394*k\/9 - 19648\/9 = 0.\nAnswer: -32, 1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 99 = 2*f + 3, 162 = 3*f + 3*c. Calculate the highest common divisor of 78 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13789, -13545, -13299, -13051?\n\"Answer: k**2 + 241*k - 14031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3070329.9655 - -618.\nAnswer: -3069711.9655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002950873942 to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 3, 1\/21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*p + 25 - 181*p - 25 - 320*p in the form x*p + f and give x.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21493 or 539?\nAnswer: 539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 11*t - 12. Let j be r(-10). Which is the closest to j? (a) -2 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d + u, d + 23*u = 25*u + 8. Let s(a) = 3 - 4 + 1 + 1 - d*a. Suppose 2*n - 4*y = 14, -4*n - 2*y - 2 = 10. Calculate s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672542 is divided by 504.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 10*x + 8 = -12*x, -8 = 9*y + 2*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**(1\/44)\/(u\/(u\/u**(-2\/3)))**(-1\/9))**3 assuming u is positive.\nAnswer: u**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31097 - -31099. Solve 0 = -g*k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**3 - 15*j + 15*j.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.29566 years to millennia.\nAnswer: 0.02929566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-99)\/(-18))\/(2\/4). Suppose i - y = -5*o + 4, -3*o + 2*i = -22. Let w(j) = -32*j - 32*j + 62*j + 1 - 2. What is w(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1260*r**2. Let x(d) be the second derivative of d**3\/2 + 331*d. Determine x(v(h)).\nAnswer: 3780*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 1. Let s be r(-4). Let h(c) = 2*c**3 - 3*c**2 + 13*c + 25. Let n(a) = a**3 - a**2 + 6*a + 12. Let o(u) = -6*h(u) + 13*n(u). Give o(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/13))**7)**7\/(k**10*k**(-2\/49))**(1\/5) assuming k is positive.\nAnswer: k**(17666\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -967 + 734 + 1385 = 457*u - 2047 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111137695?\nAnswer: 5, 661, 336199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/5))**3)**(3\/4) assuming a is positive.\nAnswer: a**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + 122?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x - 11. Let k(r) = -7*r + 10. Let w(y) = -6*k(y) - 5*l(y). What are the prime factors of w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*s - 8 - 29*s - 6*s in the form n*s + p and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*a - 217*a = w + 45, 5*a + 2*w - 155 = 0. Suppose 4*s = -x + 27, 0*x - 42 = -2*x - 5*s. Calculate the remainder when a is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.2 + 12?\nAnswer: 122.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 92 - 415 - 2023 = -35*v for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 994406112 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 290 - 94 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pca when three letters picked without replacement from {p: 3, a: 3, j: 6, c: 1}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.14 + -0.49. Let b = -86 + 83.16. Let i = z + b. Round i to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 1. Let l(m) = 22*m + 15. Let p(z) = 3*j(z) + l(z). Let d be p(8). Solve -d*b = b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m - t + 17470 = 0, -m + 3498 = t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 11*t**6\/15 - 5*t**4\/12 - 2*t. What is the third derivative of f(c) wrt c?\nAnswer: 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -69610, -139210, -208784, -278332, -347854?\n\"Answer: 13*q**2 - 69639*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2814064 and 334956.\nAnswer: 869545776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 182*n - 94*n - 2 - 6 - 5*n**2 + 8*n**2 - 98*n. Give w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13423+4\nAnswer: -13419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1769 + -1764. Solve -x*u - 5 = -5*j, -2*u = -0*u + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 36*h**3 + h**2 + 5*h - 17. Does 6 divide o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 2*s + s + 3 - 3 + (-2*s + 4*s + 0*s)*(-3 + 4 - 2) + 0*s - s + 3*s - 4*s - 2 + 2 + 4*s + 13 - 13 as l*s + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*r - 184, -u + 33 = 5*r - 259. Let g(b) = -9*b**2 + b - 4*b**2 - 1 - 103*b**3 + 44*b**3 + r*b**3. What is g(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(2\/6*257\/1799)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 315*i**3 - 5*i**2 - 16*i + 11. Is j(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2 + -3 + 3. Suppose -h*s = -3*s - 3. Suppose -32 = -s*n - o, n + 34 = 2*n + 5*o. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137 + 963 = 350*y + 5076 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 381148 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -4 (c) 95397\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**3 + 500903*j + 915598 wrt j?\nAnswer: 9*j**2 + 500903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tas when three letters picked without replacement from zazstzzszsstasszsza.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 + 0 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -681 + 684. Solve d = u + 2*h, -12*h = 4*u - 7*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184517\/273240 + -2\/6831. Let m(u) be the third derivative of 0*u + 0 + 4*u**2 + 1\/200*u**6 - 27\/10*u**3 + l*u**4 - 9\/100*u**5. Solve m(o) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.9 (b) -4\/7 (c) 0.3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.2, 0.3, 10, -0.5 in descending order.\nAnswer: 10.2, 10, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 540 = 539. Let c(l) be the third derivative of 3*l**4\/8 - l**3\/6 - l**2. Let j(x) = -44*x + 45*x + 2 - 2. What is h*c(p) + 6*j(p)?\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25594635 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11912 - -11984. Calculate the least common multiple of 648 and h.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 2*c)*(0 + 27 + 8).\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**4 - j**3 - j**2 + j - 2. Let t(d) = -11*d**4 + 24*d**3 + 157*d**2 + 273*d + 126. Let z(g) = -5*l(g) + t(g). Find o, given that z(o) = 0.\nAnswer: -2, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 301213?\nAnswer: -301222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekxe when four letters picked without replacement from exexxxeweeexxwkxxx?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2805, 0.31, 1\/9 in ascending order.\nAnswer: -1\/2805, 1\/9, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -105a018 (base 14) in base 4?\nAnswer: -131203313112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = -2*j, -2*n - n = 2*j - 6. Suppose -j*z + 15 = -21. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, s: 5, f: 2, w: 5, h: 1}. What is prob of sequence fs?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(720))**2*6 - -5*(sqrt(720) - (1 + sqrt(720)))**2).\nAnswer: -17324 - 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37 + -0.6331917165.\nAnswer: -0.2631917165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 62 (c) -1.174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/4 - 54162*k**2 + 216657*k - 216660 = 0.\nAnswer: -72220, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 337 - 276. Suppose 0 = -a - 2*o - 5, -3*o - 20 = 2*o. Calculate the remainder when c is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04969838 from -0.5.\nAnswer: -0.54969838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1677 or 8381\/5?\nAnswer: 8381\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 7. Let b be j(-2). Let m = b + -1. Let a(n) = n**2 - 2*n + 7. What are the prime factors of a(m)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*q**5 + q**4 + 187*q**3 - 271956*q**2 - 2*q wrt q.\nAnswer: -2940*q**2 + 24*q + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246351300 rounded to the nearest 100000?\nAnswer: 246400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 219\/45 + 75\/(-15). Which is the nearest to 1\/2? (a) 1 (b) p (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6018 divided by 591?\nAnswer: -2006\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.9 (b) -0.3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*u + 182 = -1221*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -5)*(-204)\/(-18). Calculate the highest common divisor of u and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1652\nAnswer: -165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Which is the nearest to -1\/3? (a) 0 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7634203 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(2\/(-4) + 0). Let y(k) = 7*k**2 - 3*k - 3. Let g be y(-2). Let w = -31 + g. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -120, -197, -284, -381, -488?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 62. Let o(p) = 5*p**2 - p - 2. Let s be o(-1). Suppose 8*w - y = s. Solve 3*g - 4 = w*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 + 3*a**2 - 6*a**2 as x*a**2 + o + i*a and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000 - 101110?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132049 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*g - 291. Let f = 86 + g. Solve 2*w - 2 + 8 = f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2)*-2 - sqrt(52)\/sqrt(36)) + ((-2 + sqrt(637))*3)**2 + sqrt(637).\nAnswer: -742*sqrt(13)\/3 + 5769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9649.\nAnswer: 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2\/9, 0.56, -2\/11 in descending order.\nAnswer: 0.56, 2\/9, -2\/11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167733 - 167755 = 4*k - 6*r, -5*k + r - 21 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 13.1. Are b and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 61*g**2 + 54*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-732)\/183*(-15)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121925, 243852, 365783, 487718?\nAnswer: 609657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 7}. What is prob of sequence ggss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2835.983 tonnes?\nAnswer: 2835983000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*o + 8, -3*o + 3*w - 5*w = 8. Suppose -2*r - 2 = o, -c = -3*c - 5*r + 7. Let z(k) = -14*k + 23. Let h(d) = 5*d - 8. Calculate c*z(f) + 17*h(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8944*t**3 - 18*t**2 - 165*t + 42. Let x(m) = -4473*m**3 + 8*m**2 + 82*m - 24. Let l(u) = 4*f(u) + 7*x(u). Find the third derivative of l(v) wrt v.\nAnswer: 26790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 + 18*w + 2. What is s(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44320 - 0?\nAnswer: 44320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/7 - 2*o**2\/7 - o\/7 + 2\/7.\nAnswer: (o - 2)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*h**3 - 3*h**5 + 0*h**5 + 20*h**3 + (-1 + 1 + h)*(-h**4 - h**4 + h**4) + 0*h**5 + h**5 - 3*h**5 + h**5 - 3 + 3.\nAnswer: -5*h**5 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*l - 41*l + 2*l**2 + 5 + 91*l.\nAnswer: 2*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -51c?\nAnswer: 50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 1860063 + 1860063.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -78*a - 370. Let v(i) = -97*i - 371. Give 5*q(h) - 4*v(h).\nAnswer: -2*h - 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7936\/96)\/(-62))\/(9\/(45\/(-10)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eej when three letters picked without replacement from {j: 5, e: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 223\/(-2)*2*(0 + -2). Suppose q = 7*x - 394. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*m**2*o**2 + 13241*m**2 + 2*m*o - 7743*m + o**2 - 2*o + 4 wrt m.\nAnswer: 62*o**2 + 26482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 5*z = 18*m + 185, -494 = -5*m + 2*z. Let p = 205 - m. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/(-9) + (-6)\/(-18). Let a(t) = -t**3 - 4*t**2 + 4*t - 2. What is the tens digit of a(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -59 + 10 - -53.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -10*f + 4. Let x be (-2724)\/(-15) + f\/5*-1. What is the third derivative of 8*d**2 + 200*d**4 - x*d**4 - 31*d**2 wrt d?\nAnswer: 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -12. Suppose -2*t + 34 = -y*t. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**3 - i**2\/2 - 3*i + 214. Determine z(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1516 or 1?\nAnswer: 3\/1516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64341*j - 64346*j = -3*w + 120, 0 = 3*w + 4*j + 69 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13*u - 34*u + 10*u - 2. What are the prime factors of v(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/24 + 53*r**3\/6 - 6*r**2 - 1. Let i(y) be the first derivative of -7*y**3\/3 - 183. What is i(s(x))?\nAnswer: -7*x**2 + 742*x - 19663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -142. Let p be -1 + -1 - (-3 - 36\/l). Is p at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let o(n) = -26*n**2 + 8*n. Let h(y) = -o(y) + 8*r(y). Let a(u) = u**2 - 6*u + 15. Let l be a(7). Let t(x) = 13*x + 10*x - l*x. Calculate h(t(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61781011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -574*k**2*l**2 - 2*k**2*l + 4*k*l**2 + 686*k*l wrt l.\nAnswer: -1148*k**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -652*t - 769*t - 966*t + 2*t**2 + 184*t + 9211 + 413*t wrt t?\nAnswer: 4*t - 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x**2 - 3*x**2 + 6*x + 13*x**2 + 22*x - 19. Is b(-9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -903*l**6 + 5*l**5 + 5*l**2 + 1538 wrt l?\nAnswer: -108360*l**3 + 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*792\/110*9\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2299781 take away -17111?\nAnswer: -2282670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 1)*(8*o - 5*o + 5*o) - 7*o - 16 + 16 + (-1 + 1 + 2)*(-o + 3*o + o) as y*o + w and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 7 = 2*b + 4, -n = -1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.2 and -3995511.85.\nAnswer: -3995510.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 354426798 a multiple of 5186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-114) + 596\/608 and 55\/118.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.59 + 0.6. Let k = 0.11 - d. Which is the nearest to k? (a) -0.3 (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -10, -3, 0 in descending order.\nAnswer: 8, 4, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.399248*20.8\nAnswer: 8.3043584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 6*x + 8. Suppose 5*i + 10 = -r + 5*r, 0 = -3*r - 15. Let u be z(i). Suppose -7*p + 3*p = -u. Solve 4*d = -2*v + 8, 4 = p*d - v - 3*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/335)\/(6 + -2 - 2). Let c(w) be the second derivative of 0*w**2 + 5*w + v - 2*w**4 + 2\/3*w**3. What is the second derivative of c(t) wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 50688*p + p**3 - 34 - 2*p**3 + p**2 + 50678*p to v*p**2 + x*p**3 + q + o*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858592*t**2 + 863591055616\/3 + 3856\/3*t**3 + 3583365376\/3*t + 1\/3*t**4 = 0.\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/698256 and -15\/9256.\nAnswer: 62144784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 8:32 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**3*q - 6*d**2*q + 21*d**2 - d*q - 24*q + 196 wrt d?\nAnswer: -3*d**2*q - 12*d*q + 42*d - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 3*m**2 + 6*m**3 - 6*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 84*o**2 - 2 - 4*o**3 - 162*o**2 + 81*o**2 in the form s + c*o + l*o**2 + v*o**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Let w(y) = -56*y. Let l(o) = -19*o. Let n(q) = -17*l(q) + 6*w(q). Give a(n(s)).\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -203, -697, -1501, -2621, -4063?\n\"Answer: -f**3 - 149*f**2 - 40*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4834108 divided by -2\nAnswer: 2417054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + t**2 + t + 350. Let s be z(0). What is the highest common factor of 56 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/285 and -157\/1710.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-5)\/100*-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwnc when four letters picked without replacement from {n: 1, g: 2, p: 1, w: 4, c: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 13 = 11. Let f(p) = -p**2 + 5*p - 5. Let q(a) be the second derivative of -a**4\/12 + a**3 - 3*a**2 + 6*a. Give l*f(k) + 5*q(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7954.206 decades?\nAnswer: 795.4206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o - 158. Let j(k) = 9*k + 104. Give -8*j(n) - 5*p(n).\nAnswer: -2*n - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 11. Let a(f) = i + f**2 + f**2 + 3*f - f**2 + 4*f. Let o be a(-6). Which is smaller: o or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 - 4*w - w**2 + 11*w - 2*w**4 - 4*w. Let q(v) = v**4 + v**2 - v. Let h(p) = d(p) + 3*q(p). Find the third derivative of h(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjplgp. What is prob of picking 1 l, 1 j, 1 g, and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 43*a + 44. Let g be o(44). Which is smaller: -2\/703 or g?\nAnswer: -2\/703","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f + 3 = 0. Let l = -24.5 + 24. Let d = l + 2.5. Which is the third biggest value? (a) d (b) 11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1170 - 25*o**3 - 12*o**4 - 1187 + 12*o**3 + 11*o**4 - 78*o + 11*o**3 to the form l*o**2 + y*o**3 + a*o + g + f*o**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16644*l + 6 - 5 - 16633*l + 33067*l.\nAnswer: -210*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -4, 6, 14, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + -14658?\nAnswer: -14712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 741, 883, 1023, 1161?\n\"Answer: -d**2 + 145*d + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, 73 in descending order.\nAnswer: 73, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6198325*z**4 + 14*z**3 - 343363339*z**2 wrt z?\nAnswer: 148759800*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, -309523, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 707657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024875394905 to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-3\/8)*g**(-5)*g**4\/g assuming g is positive.\nAnswer: g**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = 4*f. Let u(k) = 3*k**2 + 2*k - 1. Let s be u(1). Suppose 2*g - g = -h + 5, -s*g = -4*h + 12. Solve h = -f*n + 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-989)\/184 - -6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 7 + (-4 - -1). Suppose 10 = k*a - 26. Let w = a - 8. What is the remainder when 19 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -540042, 4, -14 in increasing order.\nAnswer: -540042, -14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1793417 to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 4*q**2 - 3*q**2 to the form h + x*q**2 + a*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 114 = -5*r, -926*q + 309 = r - 0*r - 928*q + 281 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -732 (base 8) to base 9.\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80511499 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 w = -33 + 36. Solve w*u = 4 + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 349 divided by 499803\nAnswer: 349\/499803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5)*g)**(-11\/2))**(-4\/29)*(g*g**(-7)*g*(g**(-5)\/g*g)\/g*g)**27 assuming g is positive.\nAnswer: g**(-39084\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09947 and -61.03.\nAnswer: -6.0706541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.0362 (c) -0.1 (d) -2\/5 (e) -5 (f) 2 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 5. Let s be h(0). Suppose 0 + s = a. Suppose 5*n - 35 = a*x, 6*n - 3*n - 1 = -2*x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -664, -662, -660, -658, -656?\n\"Answer: 2*i - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let l(i) be the first derivative of -i**2 - 2863*i - 4736. Determine l(o(h)).\nAnswer: -4*h - 2863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4 + 8*u**3 + 128*u**2 + 120*u - 252 = 0?\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - -21.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a. Let i(k) be the third derivative of -2*k**5\/5 - 3*k**2. Calculate z(i(j)).\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 2*y - 2, 2*y + 26 = -4*q. Let f be q\/(-5) + -4 + 52\/10. Solve f*o + 2 = 5*c + 25, -2*c - 13 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 342, 516, 692, 870, 1050?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7524 times 0.047?\nAnswer: 0.0353628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhxmbccxy. Give prob of picking 1 m and 1 b.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than -77450952119?\nAnswer: -77450952119.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 2:37 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/35 + (-6)\/(-21). Suppose 0 = 3*i - 3*p - 282, c*i - p + 396 = 4*i. Is i a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(95))\/sqrt(5) - ((-2*sqrt(95))\/sqrt(5) - sqrt(19)))**2*3 + -2.\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/141, 5, 6.1, -1\/7?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m. Let t(x) = 7*x**2. Let v be t(-1). Let z(h) = -h**2 - 4*h - 6. Let u(i) = -2*i**2 - 7*i - 12. Let s(k) = v*z(k) - 4*u(k). Calculate s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -9.7.\nAnswer: -3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 33*n - 39. Let x(t) = -29*t + 40. Calculate 7*k(i) + 8*x(i).\nAnswer: -i + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 + -195. What is the greatest common divisor of t and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/3? (a) -0.3 (b) -51 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13551, -13547, -13533, -13503, -13451, -13371?\n\"Answer: r**3 - r**2 - 13551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -34. Suppose -5*l - 6 = 2*s - 26, -l + 4 = -2*s. Suppose -3*d = -s*d - 12. Solve 6*k - w*k - 16 = 3*c, -4*c - d = -k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69848*h**4 + 146*h**2 - 66243539*h - 3 wrt h?\nAnswer: -838176*h**2 + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2. Let j(z) = 2*z - 2017926. What is j(h(r))?\nAnswer: -8*r**2 - 2017926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (8 + -41) - (0 + 0) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9702, -38867, -87484, -155559, -243098, -350107, -476592?\nAnswer: -622559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(18)\/sqrt(6) - sqrt(3))*-1 - (-4 + (sqrt(1200))**2).\nAnswer: -1196 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4082 - 4061 = -3*s, 0 = s + 2*c + 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 576129057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 706 - 396. Let i = 519 - v. Calculate the greatest common factor of 55 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuqn when four letters picked without replacement from nuunnnnuqnqnnnuu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*g + 4*d, -2*g = -d + 81 - 88. Calculate the remainder when 782 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m. Let u(a) = 3*a**2 - 3682*a. Give o(u(c)).\nAnswer: 12*c**2 - 14728*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.216936?\nAnswer: 0.108468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/(40420\/(-40))*1\/1.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 6287*g - 6290*g + 10 = 0, -23*g = -4*p - 135 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.341 - -2.341. Let y be ((-24)\/20)\/3 - -1. What is the closest to h in 5\/4, 0.2, y?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23500 divided by 2.\nAnswer: 11750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/2 - 29\/6. Find the common denominator of n and (-332)\/24 - (1 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4704, 4712, 4720, 4728, 4736?\nAnswer: 4744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 40*g + 36*g + 11 = 0, -2*g = -10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.843 rounded to the nearest integer?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 76 (b) 0.1 (c) 2 (d) -0.4 (e) 27 (f) 2\/9 (g) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 291*i**3 + 1 - 8*i**4 + 1 + 2*i + 0 - 4*i - 344*i**3 to the form q*i**4 + b*i**3 + z*i**2 + v + h*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 2*j**2 - 87*j**3 - 13333 + 13333.\nAnswer: -87*j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 2*i + 58, -2953*f + 4*i = -2950*f + 40 - 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87.994 - -87. Let x = 0.006 - p. Which is the second smallest value? (a) 2 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 7 - 3*p**2 + 0*p**2 + 7. Let o(v) be the third derivative of 2*v**4\/3 + 2*v**2. Determine o(t(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14664 and 6?\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*z**4 + 3*z**5 + 30*z**4 + (-4*z**2 + 5*z**2 - 3*z**2)*(4*z**3 - 2*z**3 - z**3).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 99 = -2*x + 2*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4203.6 + 4204. Let n = 2 - 5. Let p = 2.9 + n. Sort p, -5, g in increasing order.\nAnswer: -5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -0.8. Let k = -0.0774 - -34.1774. Let s = k - 34. What is the smallest value in l, s, -2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -10, 1, 8, 3 in decreasing order.\nAnswer: 8, 6, 3, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/24 - (14 - (-3070)\/(-240)). Which is the nearest to -1? (a) 0.1 (b) 0.4 (c) -1\/9 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -17*p**2 - 5*p + 5. Let k = 2102 - 2107. Let a(o) = -o + 1. Calculate k*a(q) + g(q).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(1377) + 5 - (-2 + -1*sqrt(1377)))**2.\nAnswer: 432*sqrt(17) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 976 + 1010 = 4*v, a + 14 = 2*v. Factor 0 - 8\/11*b**v + 0*b + 0*b**3 + 2\/11*b**2.\nAnswer: -2*b**2*(2*b - 1)*(2*b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 229 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795407 is divided by 79540.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6355861.10400072 + 6356106.104. Let m = g + -245. Round m to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4712, -4729, -4756, -4793?\nAnswer: -4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244031011 (base 6) in base 13?\nAnswer: c76657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.893161 milliseconds in microseconds?\nAnswer: 2893.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/3, -1408, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3976179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(4\/11)*q)**5)**20 assuming q is positive.\nAnswer: q**(2600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vct when three letters picked without replacement from vttcttvccvcccctv.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -48*t**4 - 2*t**3 - 2*t + 135. Let v(k) = 46*k**4 + 3*k**3 + 3*k - 134. Let x(s) = 6*c(s) + 4*v(s). What is the derivative of x(w) wrt w?\nAnswer: -416*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 38082.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (0 + sqrt(1584) + 1 - (-4 + (sqrt(11) - sqrt(33)\/sqrt(3)) - sqrt(11))*-2)*1))**2.\nAnswer: -360*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -12. Let k be -1*((-1)\/(-2) + -1). Let z be (-1)\/(-1)*(-28)\/42. Which is the nearest to k? (a) -1 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/65)\/((-22)\/(-858))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + k - 1. Let x(m) = -5*m + 3. Let h(r) = r - 1. Let q(j) = 4*h(j) + x(j). What is -2*d(f) + q(f)?\nAnswer: 2*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -p + 20, 7*p - 4*g - 67 = 2*p. Calculate the remainder when (1 - (-4)\/(-3))*-63 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*q**3 - 239*q**3 + 10198 + 0*q**2 - 5*q**2 + q + 5*q**2.\nAnswer: -q**3 + q + 10198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.071 and 9.3.\nAnswer: 1.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65902 and 458138.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l - 2*x + 1164, -l + 570 = 5*x. Let t be ((-2)\/8)\/(4\/(-16)) - -405. Let j = l - t. List the prime factors of j.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 26 = 6*x, -j - 4 = 3*x - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010188.\nAnswer: 2, 71, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 23. Let w be 224\/p + (-10)\/(-15). Is 2\/9 + (-2282)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 21*l - 27. What is the tens digit of r(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1186 + -723. Let z = 520 - l. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(363) + sqrt(363) + -3 + sqrt(363)) - (sqrt(363) + sqrt(363)*3)*1 - (3 + (sqrt(363)*-2 - sqrt(363)) + -2 + 0))**2.\nAnswer: -7106*sqrt(3) + 105268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*n**4*x + 509839*n**4 - 3*n**2*x + 344*n**2 + 4*n - 4*x + 173 wrt n.\nAnswer: -888*n*x + 12236136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/5 (b) 3 (c) 1575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2839?\nAnswer: -1419.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -85*c + 38. Is v(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 2*u. Suppose -46 = -4*z + 3*y, 4*z - 42 = 6*y - y. Let r = z - 11. Let f be t(r). Which is the closest to 0.2? (a) -1 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-6) + 10\/15. Suppose -3*w - 5*u = -104 - 17, -5*w + 177 = -m*u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 + a**2 - 2. Suppose 24 = -4*j + 4*u, -4*u + 11 = -5. What is the units digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/11 (b) -42 (c) 0.9 (d) 4 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d - 13*d - 4*d + 41 + 8. Let i be a(11). Suppose -i*w = 4*h - 17453, w + 3*h - 1483 = 2012. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 148376.907ms?\nAnswer: 0.0002453321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = d - 17, -4*x + 8 = 3*d - 3. Suppose 0 = -6*s + d*s. Suppose 3*z - 288 = n, s = -5*z + z - 5*n + 403. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 9*v - 26. Let u(s) = 47*s**2 - 29*s**2 - 16*s**v. Let y(k) = -k**2 + 11. What is y(u(m))?\nAnswer: -4*m**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.495999 grams?\nAnswer: 7495.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1) + 1 + 3. Suppose 4*s - 96 = -2*r, 3 = -5*r - 7. Let a = -20 + s. Sort j, -5, a.\nAnswer: -5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 9) in base 7?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = -h. Let s(f) = f**3 + 9*f**2 + 7*f + 11. Let y be s(h). Let c = -384\/5 + y. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*w + 2 - 1 + 7 - 3 as k*w + c and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2081690, -2081600, -2081510, -2081420?\nAnswer: -2081330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22.5 (b) 3 (c) 4 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*14\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/(-10) + (-5)\/75*9. Let j(h) = -4*h**3 - 102*h**2 + 114*h**2 + 5 + 9*h - v*h**3. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(44\/(-24))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 169382216 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 1.1322528.\nAnswer: -15.8515392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/176 - (-115056)\/(-1551)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2065757 or 2065755?\nAnswer: 2065757","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -447110.\nAnswer: -447097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = -2*m + 84, -4*q + 3*m + 64 = 0. Solve -7 = 4*p - 2*z + q, -5 = -2*p - 5*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + o - 2661 = 0, -2*o + 551 - 3221 = -4*u. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6301 divided by 69\nAnswer: -6301\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -432*i**3 - 2*i**2 - 2*i - 4. Does 16 divide q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358338 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**0*n)**(-23\/4))**5*n**(1\/3)*n*n\/((n**(4\/7)\/n*n)\/n*n)*n**(3\/2)*n**0 assuming n is positive.\nAnswer: n**(-6971\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 11*q + 3. Let y be h(11). Find the third derivative of -18*n**y + 13*n**3 + 37*n**2 - 13*n**2 wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 greater than or equal to 11814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179*k*w**2 + 52*w**2 with respect to k.\nAnswer: -179*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v\/v**4))\/v**4*v*(v**(-3)*v*v)\/v*v**3 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k**2 + 60*k**2 - 56*k + 163*k - 54*k - 50*k to p*k + h*k**2 + w and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18787, -18785, -18783, -18781, -18779?\nAnswer: -18777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let a be r(-2). Let o be a - (-4 + 48)\/(-4). Solve 5*u - o = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + -12 + 9 - (525 - 514)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418 a factor of 126602406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 25. What is the units digit of d(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + -3. Let t = 71 - 54.9. Let r = u + t. Round r to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*2 - (sqrt(19)*2 + 0))**2 + (sqrt(2299) - (2 + sqrt(2299)*-1))**2 + -3.\nAnswer: -88*sqrt(19) + 18393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3))**(-1\/13)\/(p**(-3)\/p**(-3)))**(-1\/8) assuming p is positive.\nAnswer: p**(1\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2983*t**4 + 153*t**5 + 5962*t**4 - 187*t**2 - 2980*t**4 wrt t?\nAnswer: 9180*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 8*q - 10. Let j be c(10). Suppose 0 = -2*s + j, 39 = 6*y - 2*y - s. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 49 (c) 71 (d) -0.0373\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*k - 59*k - 4*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + -2 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 500.7 to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (1 + -16 - (-106 + 85)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 28 = -v. Suppose -p - 4*q - 1 = 0, 0*p - 3*p - 2*q + v = 0. Solve -i - 4 = p*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114619921?\nAnswer: 13, 8816917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5953600\/3*s**2 - 9760*s + 12 = 0.\nAnswer: 3\/1220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781, -4174, -7565, -10954?\nAnswer: -14341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 24*k + 2562. Let p be -2 - (1 + k\/(-18)). Which is smaller: p or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 = -5. Let u be d\/7 - (-837)\/63. Solve 4*q - 1 = -x, q - 3*q = 3*x - u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -2*s + 2*x, 2*x = 2*s - 2. Let m = 18 + -12. Let c = 4 + -1. Solve s + m = -c*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -2*h - 6*t - 3, -h = 2*t - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:14 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 23*z**2 + 45*z - 1112. Is 14 a factor of n(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2. Let h(c) = -801*c**2 + 404*c**2 + 412*c**2. What is o(h(z))?\nAnswer: 1350*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3\/3 - 1848*f**2 + 60596*f\/3 - 44000 = 0 for f.\nAnswer: 3, 8, 1375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3645*c**2 - 7326*c**2 + 3683*c**2 + 464*c.\nAnswer: 2*c**2 + 464*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12314468 and 3032?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20. Solve -3*r - r - 12 = y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*f**4 + 5*f**4 + 2*f**4 - 9*f**4 + f**4 + f**4 + 0*f + 0*f - 2*f**4 + (-1 - 2*f**2 + 1)*(f**2 + 1 - 1) - f**4 - f**4 + 6*f**4)*(2 - 4 + 1).\nAnswer: 3*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*c + 11 - 84 = 0, -2*j = 4*c + 56. Let q be (-906)\/j + 8\/(-44). Let o = q + -19. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, l: 2, h: 5}. What is prob of picking 2 l?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 55 - 55 + (4*b + b - 2*b)*(-3 - 1 + 5))*(-2 - 7*b + 2)*(-2*b + 2 - 2) - 2*b**2 - 2*b**3 + 2*b**2 + (-b + b - b)*(-b**2 + 0 + 0).\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 3*o - 7041 = 0, 0*h - 1744 = -3*h + 4*o. What is the lowest common multiple of 60 and h?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/4 + 45*i**4\/4 - 179*i**3 + 1148*i**2 - 2352*i + 1372 = 0. What is i?\nAnswer: 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from ittti.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 3*s**3 - 3*s**3)*(3*s - s - 6*s)*(96 - 138 - 112).\nAnswer: -1232*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/25, 3\/2, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 2*x - 25*x**4 + 51*x**4 + x**3 - x**2 - 27*x**4 in the form s*x**4 + b*x**2 + r + k*x + q*x**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 894 + -13?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*n - 111. Suppose n = 5*p + 7. Suppose 0*a = -3*a + p. Solve 16 = -4*i - i + f, 0 = -a*i - 4*f - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwfwwwwwwwwwwwfwwww. What is prob of sequence ff?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 17*r + 0 - 1\/6*r**3 - 11\/2*r**2. What is the first derivative of v(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 12*b**3 - 2*b**2 - 403*b + 42. What is the derivative of f(o) wrt o?\nAnswer: 72*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*x - 256*x = 270. Solve -4*a - 24 = 5*p, -23 = -x*a + 12*a + 5*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**7\/21 + 2*v**6\/15 + v**5\/10 - v**4\/3 - 71*v. Find j, given that q(j) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p - 30 = -42*p. Suppose -132 = -5*w - 4*m, m + p = 6*m. Calculate the greatest common factor of w and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwzwwwzwwzzzww?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.77329 - 197818.3\nAnswer: -197817.52671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -431275 from 0.14.\nAnswer: 431275.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975 is divided by 466?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2. Let i(k) = -k + 3. Let l(p) = -p + 1. Let m(w) = 2*i(w) - 6*l(w). Calculate s(m(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 4*t - 5. Is r(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 3, 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*2)\/(5\/(-10)). Let a = -7 + m. Suppose -9 = 2*f - 3. Is f greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94\/35 + 16\/7. Let h = 77\/6 - 551\/42. Sort f, h, -2\/19 in decreasing order.\nAnswer: -2\/19, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 549 and 63?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/16 (b) -4 (c) 0 (d) 1\/4 (e) 0.5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**3\/6 - 5*y**2\/2 - y. Suppose -i + 5 = l - 4, 2*l - 26 = 2*i. Let h be t(l). Solve 4*c = -5*x + 7, c + 3*x - h = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63619450753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/13, 6995, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*x - 625 = 27*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (2 + 2\/2). Suppose 7*n + 6*n = 897. Let g(c) = -76*c + 148*c - n*c. Give g(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(3\/(-5)))\/(7\/((-2016)\/120))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 59, 5\/41284?\nAnswer: 5\/41284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 5 (b) -1\/2 (c) -4 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 35 = -4*i - 3*f, 3*i - 3*f = 15. What is the lowest common multiple of 8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 - 2*s**3 + 1632*s**2 + 2*s + 1. Determine x(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 390\/18 - 1806\/(-774).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4892866 millilitres?\nAnswer: 0.0004892866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 509 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2 + c + 4*c**2 - 8\/3*c**3 + 1\/4*c**4. What is the least common multiple of z(7) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owokfkookk. Give prob of picking 1 f and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (49\/(-7))\/((-1)\/(-3)). Let m = -18 - z. Let w(x) = -3*x + 26. Let y be w(7). Put -5, m, y in increasing order.\nAnswer: -5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000806732077 to seven dps.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**(1\/2)*s))**(2\/39))**(-6\/11) assuming s is positive.\nAnswer: s**(-2\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 48 = o. Let z be (8\/o)\/((-2)\/(-9)). Let c(h) = 4*h**3 + 3*h**2 - 5*h + 1. Let r(v) = -9*v**3 - 7*v**2 + 11*v - 2. Give z*r(g) - 7*c(g).\nAnswer: -g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 13*j**2 - 12*j + 12. Let z be x(-10). Is 21 a factor of z*1*(-7 - (-250)\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 20. Let b be j - (-3 - (0 + 0)). Solve -6 = -z - b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -389*b + 389*b - 15*b**5 + (-5*b**4 + 5*b**4 - 3*b**4)*(2*b + 2*b + 2*b).\nAnswer: -33*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)\/((((l*l**15)\/l)\/l*l)\/l)*(l*(l\/l**9)\/l)\/((l**(1\/3)\/l)\/l))**40 assuming l is positive.\nAnswer: l**(-31960\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/5)\/u**(-17))\/(u**(-1\/6))**16)**(-1\/53) assuming u is positive.\nAnswer: u**(-286\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:39 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 12. Let f = 25 - b. Which is smaller: f or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7541*q**2 + q. Let l(t) = -t**2. Give y(l(p)).\nAnswer: 7541*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1.6815.\nAnswer: 6.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7812410.1 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 0.703?\nAnswer: -2.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 6*t - 55, 5*i - 33*t = -29*t - 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**4\/24 - 2*k**2 + 749. Let w(z) = 51*z + 1. Determine -3*m(b) + w(b).\nAnswer: 48*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2.065. Let m = -7.893 + 7.9. Let p = g - m. What is p rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352053 (base 8) to base 13\nAnswer: -42724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {q: 1, f: 10, l: 1, i: 6, u: 2}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 489 and 14670?\nAnswer: 14670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 1370\nAnswer: -109.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000547 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 31, 2\/7, 4 in decreasing order.\nAnswer: 31, 4, 2\/7, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2588 and 9186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2. Let v be w(-1). Let p be 6*(15\/v - 2). Let s = 8 - p. Solve 0 = -3*b - 4*g + 7, -s*g + 6 = 4*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280.2 + 12.2. Let l = -267.8 - v. Sort 4, l, 11 in decreasing order.\nAnswer: 11, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 6*j - 1. Let m be (138\/(-24) + 6)*12. Suppose -12 = -4*z, -m*f = -10*z + 11*z - 21. Calculate l(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/249111 and 29\/304469.\nAnswer: 2740221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 460.4? (a) 5 (b) 1\/4 (c) 0.1 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 44*r - 56 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**6\/900 + o**4\/60 + 2*o**3\/45 + o**2\/2 + 26. Let z(s) be the second derivative of x(s). What is v in z(v) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724, 1069, 1702, 2641, 3904, 5509, 7474?\nAnswer: 9817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 58886772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 143. Let a = 72 + w. What is the hundreds digit of (-5)\/((-20)\/856) + -2 + a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.123 - 1.223. Sort 2\/11, 0.17, p.\nAnswer: p, 0.17, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 796332*f + 3981560.\nAnswer: 4*(f - 199078)*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 999.957 litres in millilitres?\nAnswer: 999957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -0.1, -2\/7.\nAnswer: -3, -2\/7, -0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 + 2*c**3 + 3*c**2\/2 - 6*c + 9. Let f be o(-5). What is the units digit of 61 - (-2)\/(f\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 44, 67, 92, 119, 148, 179?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(1216) + (sqrt(1216) + -1 - sqrt(1216))).\nAnswer: -24*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(7)*1 + 1 + sqrt(7)*-1 - (sqrt(84)\/(sqrt(60)\/sqrt(5)) + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-2))\/((-42)\/(-1008)*-8))\/(12\/22).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Suppose 1 = -x - 3. Let q be x\/(-28) - (-3)\/28. Which is the nearest to 0? (a) q (b) -3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*u**3 + 16*u**2 - 8070 + 8070 + (0*u + 0*u + u**2 + (-2*u - 4 + 4)*(-2*u + 0*u + 3*u) - 4*u**2 + 4*u**2 + 3*u**2)*(-2*u - 2*u + 3*u).\nAnswer: -28*u**3 + 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3016 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n + 33. Let b be d(-6). Let o(h) = 3*h + 25. Let l be o(b). Let p be (3 - 7\/3)*6 + l. Is 0.19 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 48075\/4466 and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1875 + 1942. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2471 - 1232 + 10674*c - 1239 to g + y*c and give y.\nAnswer: 10674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -206864.87?\nAnswer: -103432.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1645\nAnswer: 2\/1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 106486.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1 + 8*s + 8*s - 17*s. Let t be a(-4). Suppose 0 = -t*d + 5*k + 450, 4*k = d - 2*d + 115. What is the highest common divisor of d and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/20)\/(2\/(-90)). Let n be (-12)\/10*(-60)\/r. Suppose n*k = k. Solve 0 = p - k + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138766713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*k**2*s*x + 6*k**2 + 5*k*x**3 + 2*s*x**3 + s with respect to s.\nAnswer: -97*k**2*x + 2*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(1 + 6\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10792.62278 rounded to the nearest one hundred?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101252376?\nAnswer: 2, 3, 468761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2. Let m(w) = -2*w - 1. Let r(d) = 22*d + 7. Let o(y) = -14*m(y) - 2*r(y). Determine o(u(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, 0.3, -191, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0725 - 0.1364. Let a = 40 + -40.21. Let u = a - d. Round u to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4951.44 to the nearest 10.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 - -266 - (0 + -10 - (-9 + 12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -15. Which is the third smallest value? (a) 2\/11 (b) t (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l + 2*l + l - 5*l**2 - l**3 - 1. Let v = -9 - -11. Let f = v - 6. Calculate z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6746508734.\nAnswer: 2, 7, 31, 15544951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -58*-2\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/28)\/((-128)\/1120).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860602008 to the power of 1\/3, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 + 55*w**4 - 405*w**3 - 2315*w**2 + 5600*w - 2940 = 0. Calculate w.\nAnswer: -14, -6, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(-3*b + 2*b + 6*b) - 7*b + 2*b - b in the form y*b + f and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17568075131128 and 0.4?\nAnswer: 17568075131128.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1084.\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-5)\/(-30)). Let q = x - -5. Let f(y) = -q*y + 3*y - 2*y. Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207079*0.08.\nAnswer: -16566.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g + 2*g)*(2 - 1 + 1) - 24 - 61*g + 129*g - 71*g.\nAnswer: -g - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 2*d**4 - 5 + 2 + 0 - 2*d**3 to the form y*d**3 + v*d**2 + h*d + k + a*d**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**(-4)\/d*d*d)\/(d**(2\/5))**(-5) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 + v - 5. Determine r(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35559)\/(-1539) + (5 - 28) + (-30)\/(-76). Factor 0 + q*z**2 + 5\/2*z**3 + z**4 - z.\nAnswer: z*(z + 1)*(z + 2)*(2*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.275345 times -340?\nAnswer: 93.6173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-9))\/(-7)*9. Suppose 0 = 4*b + q - 36, b + 2*q + l = -q. Determine u so that 30*u + 132*u**3 - 88*u**2 + 14*u**5 - 74*u**4 - b*u - 4*u = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from dtndpeddfdpne.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/2343 and -40\/33.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6293*b**3 - 16107?\nAnswer: -18879*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2427*c**2 - 2427*c**2 + 2*c**3)*(-c - 29*c + 5*c).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1530*t - 8 = -766*t - 765*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982*o + 55*x = 981*o + 385, -4*x + 28 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 767, 1177, 1587, 1997, 2407?\nAnswer: 2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1753 + -11b?\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 251206 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i + 22. Is 19 a factor of (-1755)\/i - 4\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + z - 77 = 4*z, -5*z + 117 = 4*s. Suppose -9 = -u + 4*o + 26, -5*o = 5*u - 100. Is s bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t**5\/3 - 16*t**4 + 56*t**3\/3 + 16*t**2 - 12*t = 0.\nAnswer: -3, -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -35, -41, -59, -95, -155?\n\"Answer: -f**3 + 3*f**2 - 2*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28008 and 4324392?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428835234 to the power of 1\/2, to the nearest integer?\nAnswer: 58556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 - 15*a - 1. Let m(d) = 13*d**2 + 30*d + 3. Let l(i) = 2*m(i) + 5*r(i). Let u be l(-3). Solve 59 = u*s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 741*j**2 - 1475*j - 2217.\nAnswer: -(j - 739)*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129502, 518143, 1165878, 2072707?\nAnswer: 3238630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 2*j**2 + 0*j**2 + 2 - 5 + 6*j + j**3. Let c be g(2). Solve 0 = x + c - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1860971, 3721904, 5582837?\n\"Answer: 1860933*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d8 - 2b02?\nAnswer: -2dda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2452, 4904, 7356, 9808, 12260?\nAnswer: 14712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 3*m**3 - 2*m**3 + (-m**3 + m**3 - 2*m**3)*(-4 + 0 + 6) - 4*m + 4*m + m**3 - 405 + 2546*m**3 - 467*m**3 + 405.\nAnswer: 2075*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 70.90949g?\nAnswer: 0.07090949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5141 times 0.0104\nAnswer: 53.4664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 118061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 10*t + 151390. Round t to the nearest 1000.\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 334520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19491251 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2642 - -1?\nAnswer: 2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 4 + 4 + (5 - 3 + 0)*(5*p**4 - 5*p**4 + 3*p**4) as o*p + g + m*p**4 + b*p**2 + w*p**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/(-203) - (-4778)\/14. Let n = i - 30. What are the prime factors of n?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/12*7\/392*8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*h + 38*h**3 + 599*h.\nAnswer: 38*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -498 by 249.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-264)\/(-32) - (-2)\/(-8). Let o(f) = 12*f - 25. Let p(y) = -3. Let g(b) = 2*o(b) - 4*p(b). What are the prime factors of g(u)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13)*-1 + 0 + sqrt(52) - (-1 + ((sqrt(143)*2)\/sqrt(11) - sqrt(13)))) + -4 + sqrt(13)*-1 + -5 + -2*sqrt(1872)*-2.\nAnswer: -8 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1976 = 13*z + 39*z. Solve 4*w - 3*s = z, -4*s = 60 - 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/3)\/h)\/h*h\/(h**(-12)*h)*h**(-1\/11)\/h**(1\/2) assuming h is positive.\nAnswer: h**(379\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0\/i)\/i**1*i**8\/(i*i\/(i\/(i*i**(-5)))) assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738143.\nAnswer: 7, 105449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -5*x + 2*s - 45, 0 = 4*x + 3*s + 35. Let k = x - 0. Let j(l) = l - 3. Let d(f) = f - 3. Give k*d(n) + 4*j(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**4 - 2*a**2 + 5*a**4 + 6*a**4 - 2*a**3 + (a + 2*a**4 - a)*(5 - 13 - 6) as i*a**2 + w + p*a**4 + o*a**3 + m*a and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 83*f - 6567 - 17769. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55906548 - 75*u - 55906548.\nAnswer: -75*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b**2 + 12*b**2 + 4*b**2 + 3*b + 2. List the prime factors of y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9793*w**3 + 42*w - 50*w + 8*w.\nAnswer: 9793*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 511*v - 515*v = -g - 2, 259*g - 265*g = -2*v + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236583 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q - 6611 = -3*n + 32*q, -5*n = 5*q - 11015. List the prime factors of n.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -8*p + 66 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2078 and 99\/26.\nAnswer: 27014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1900) + sqrt(1900))*-6 - sqrt(1900) - ((sqrt(1900) - (sqrt(1900) + 2)) + 5))**2*6.\nAnswer: 4680*sqrt(19) + 1926654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 6163.85.\nAnswer: 3081.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8997175*w + 9271598 wrt w?\nAnswer: 8997175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504108 minus 0.02?\nAnswer: 504107.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 10039*s**5\/5 + s**4\/6 - s**3\/2 - 2*s**2 + 12*s - 4. Let f be l(4). What is f rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x - 8 = p, 0 = -5*x - 5*p. Suppose -2*a - x*a = -60. What is the remainder when a is divided by 819\/119 + -3*(-18)\/459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -4466868892.388.\nAnswer: -4466868892.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -138*c**3 - 39*c**2 + 4*c + 2. Let u(o) = -277*o**3 - 76*o**2 + 10*o + 4. Determine 5*i(a) - 2*u(a).\nAnswer: -136*a**3 - 43*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*d + 5 = -a, 5*d - 13 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 21. Let p = s - 9. Sort p, 8\/9, -0.3 in decreasing order.\nAnswer: p, 8\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343038.\nAnswer: 2, 3, 57173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 + -7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + -2*sqrt(425))*-4 - ((1 + sqrt(425) + -1)*3 + -2))**2.\nAnswer: -20700*sqrt(17) + 862741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163016373 to the power of 1\/2, to the nearest integer?\nAnswer: 71854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (-23)\/((-690)\/135)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1187612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2309\/5280 - -35\/96. Let r = -2\/33 + d. Suppose 2 = 2*y + 4. What is the nearest to -1 in 0.3, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101101101111010100000 - -111?\nAnswer: -100101101101111010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29093 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012111021022 + 12?\nAnswer: 1012111021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 1. Let m be o(3). Suppose -3*k + k + 12 = t, -2*k = 4*t - 24. Let p = 3 - t. Put -5, m, p in decreasing order.\nAnswer: p, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + (-6 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -21. Let u(v) = -1 - 175*v + 176*v + 2. What is the remainder when u(11) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*q**2 - 9428*q - 40640 = 0. Calculate q.\nAnswer: -2032\/65, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 - -0.5. Let c = 0.41 - n. Let r = -0.31 - c. What is the third smallest value in -4\/3, 2\/9, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*o - 6*o. Let a(x) = -o*x**2 - x + 1 + 5*x + 4*x**2. Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128 + -317?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 911915 - 0.07\nAnswer: 911914.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 - -3107\/16. What is the second smallest value in 4\/7, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -17. Let x = o - 13. Let l = -18.1 - x. What is l rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 4\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12154927?\nAnswer: 19, 103, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g + g - 2 + 2. Let k(p) = -2*p**2 - 17*p - 55. Let v(w) = -w**2 - 9*w - 30. Let i(a) = -6*k(a) + 11*v(a). Give -4*c(f) + i(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 19*n - 16. Let l be b(5). Which is greater: l or -24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/42)\/(7\/(-28)) - 256\/(-224). Solve -2*y - q = -l*q + 5, 2*y - 25 = -5*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 5) in base 15?\nAnswer: -c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 24 = 3*g, -3*n - 4*g + 24 = -g. Let x be (5 - 1) + (n - 2). Solve -3*c + 15 = 3*p, 0 = 2*c - 6*c + 2*p + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 149*v**2 - 16425*v - 50625.\nAnswer: -(v - 225)**2*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvff when four letters picked without replacement from {f: 2, v: 1, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 377*w**2 - 104*w + 104. Let j(q) = -16*q**2 + 7*q + 39. Let o(n) = 15*n**2 - 8*n - 61. Let t(u) = -3*j(u) - 2*o(u). Calculate -5*d(f) + 104*t(f).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 + 135 = 3*j, 2 = -3*q - 6*j - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = z - 0*w + 8, 4*w = 4*z + 16. Let a = 2 + z. Suppose q - 3*t - 4 = -4*t, -3*q - 5*t + 6 = a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Suppose 22998298 = t*s - 0*s. Suppose -2100851 = 2*r + s. Round r to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34730765 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + 35*z**2 + 3*z + 353. Calculate the lowest common multiple of 1384 and t(-12).\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/445554 and -151\/99012?\nAnswer: 891108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -2. Let s = -4 - p. Suppose -5*g + r - 6 + s = 0, 10 = -4*g + 2*r. Solve g = b + 3*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718378521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 89010 - 89253 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*x - 29684 = -15*x - 58*x. What is the remainder when 328 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2061)\/(-18) - (-1)\/(-2) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-6*p + 7*p + 57 + p) to x*p + v and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 6*c**2 + 7*c - 1. Let h be q(5). Let w = -1 + h. Let p be -2*50\/w*80000. Round p to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 take away 228?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 13, 35, 75, 139, 233, 363, 535?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2523947970 + 3946119294 + 11628*d**2 - 3932860*d + 18956236*d + 3*d**3 = 0.\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 8*i**2 - 8*i + 1. Suppose -1291 = 17*w - 5541. Let p = 257 - w. What is n(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/261 and -151\/6.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*w + 2 = -3, b + 7 = 2*w. Suppose -3*y = 5*o - 40, -2*y + 0*o + 5*o = 15. Suppose y = 3*m - 1. Solve -m*i - 5 = -b*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 2*h - 6*h + 3*h. Let r(l) = -3*l. Let w(b) = 6*r(b) - 5*y(b). Let c(s) = -9*s. Calculate w(c(v)).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 767 and 441818.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 8*s**3 + 0*s**2 + 2*s**2 + 7 as u + b*s**3 + v*s + g*s**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*y - 67*y + 116*y in the form j + c*y and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 153, 606, 1365, 2430?\n\"Answer: 153*g**2 - 6*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3072091 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9841.053 + -9841. Which is the closest to 1\/5? (a) f (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754.865s to nanoseconds.\nAnswer: 754865000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.9 - -20.95. What is the third biggest value in 1, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 8. Let b(p) = 2*p + 17. Let i(s) = 4*b(s) + 9*f(s). Suppose -12 - 18 = 5*h. Let t be i(h). Put -2\/19, 0, t in decreasing order.\nAnswer: t, 0, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.23 (b) 0 (c) 5 (d) 0.5 (e) -17 (f) -7.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 293764*z**3 - 13816664*z**2 + 458613*z - 3807.\nAnswer: (z - 47)*(542*z - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108300868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 77 - 81. Let y = -313\/4 + o. Let r be (-3)\/(-4)*48\/9. Which is the nearest to -0.2? (a) y (b) r (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -5*u + u. Let q be (u\/12)\/(2\/(-6)). Is 17 a factor of 33*(q\/(-12) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -237?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/15 + 33\/15. What is the third derivative of 2 - 27*z**w + 20*z**2 - z**3 - 2 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6 + 4*b + 2*b - 5*b. Suppose -3*x + 4*o - 13 = 0, 4*x - 6*o + 16 = -2*o. What are the prime factors of r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*q**3 + 0 - 3*q**2 + 4 - 1 + 42*q**3 to the form z*q**2 + c*q + m + j*q**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -4*n + 1\/6*n**3 + 0 - 1\/2*n**2. Let v be a(5). Solve 13 = -v*x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 255226?\nAnswer: -255226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**5 + 6735*n**4 + 2982798*n**3 - 932027202*n**2 + 7308224271*n - 13617509805 = 0?\nAnswer: -1227, 3, 5, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o**2 - 21*o**4 - 4*o**5 - 22*o**2 + 5*o**4 - 20*o**3 - 27*o**2 = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 divided by -2.\nAnswer: 409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5366.8972 days?\nAnswer: 766.6996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 2*n + 23 - 126.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58555 = 39*k - 252938. List the prime factors of k.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42083699*b*q*s**2 - 4*b*q*s + 4007*b*q - 4*b*s + 8*b - s wrt s?\nAnswer: -84167398*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - p - 6. Let d be f(-5). Let m(y) = -3*y**2. Let l be m(d). Let o be l\/(-15)*25\/(-4). What is the third smallest value in 2\/11, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/79? (a) 24 (b) -2\/13 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.082, 0.01, 20\/23?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 3430414310?\nAnswer: 3430414311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {w: 7, q: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -13*o**3 + 15*o**2 + 3*o - 45. Let v(z) = -69*z**3 + 74*z**2 + 15*z - 226. Let i(f) = 16*q(f) - 3*v(f). Determine i(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 21*a + 6018. What is the units digit of i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = -2*m + 17, -t = 5. Let i = 4 + m. Suppose i = r + 4*h - 31, h = 3*r + 2*h - 71. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:42 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/3)*f**(-1)\/f)**39 assuming f is positive.\nAnswer: f**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + -1 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -864533 or -864532?\nAnswer: -864533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35345, 36227, 37109, 37991?\n\"Answer: 882*m + 34463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/61)\/(p*p\/(p\/(p*p**(-29))*p)) assuming p is positive.\nAnswer: p**(1706\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1296*k = 1285*k - 14509. Is k at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43190 + 11004 = -800*p - 306*p for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*sqrt(480))\/(sqrt(120)\/(sqrt(24)\/sqrt(2))))**2.\nAnswer: 12288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-184)\/(-20) - ((-78)\/(-15) - 5). Put -2, p, -1 in descending order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-100)\/(-3)*48\/40. Let z(g) = s + 2*g - 41 + 0*g. Determine z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-28))\/(2\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 9. Let x(l) = -l**3 - 4*l**2 + 9*l + 4. Let a be x(-6). What is the lowest common multiple of q and 4*(-4)\/((-32)\/a)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*f + 9*f. Is -1255*(f\/25)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*x + 3, 6 + 1 = -3*x + 4*k. Suppose j - x = 45. Suppose -7*n = -3*n - j. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3883607 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/20 + p**4\/12 + p**2\/2 + 11*p. Let r(u) = u**3 + 2*u**2 + 2. Calculate -2*m(h) + r(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -5, -20, -0.5 in descending order.\nAnswer: -1\/16, -0.5, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 20143?\nAnswer: -20140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h - 168. Calculate d(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4d5b7 (base 14) to base 15\nAnswer: 3b687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, t: 4, o: 6}. Give prob of sequence eo.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 21*i + 2*i + 3 - 113*i**2 - 15*i in the form x*i + d + m*i**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 94*x**2 + 90*x + 281. Let z be v(93). Sort 8369, z, 5 in ascending order.\nAnswer: z, 5, 8369","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -914, -3640, -8180, -14534, -22702, -32684, -44480?\n\"Answer: -907*b**2 - 5*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20532 = 4*l - 28720, -5*i = 2*l - 61571. Suppose -23*x + i = -7718. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvoovwvvvvvvwv. Give prob of sequence ww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -0.52. Let r = k + 0.6. Are r and -2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -1594?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -380 - -2654\/7. Suppose -5*v = -3*y - 32, -4*v + 20 = -2*y - 4. Let r = 34 - 31. What is the closest to -1 in v, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 5*m + 4. Let c be h(4). Suppose 5*q + 4*u = 14, 10 = 3*q - c*q + 2*u. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 + n**2 - n. Let c be l(1). Let j = -326 + 334. Suppose 0*m = -c*m + j. Solve m + 6 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*b - 1 - 31, b - 5 = -3*o. Suppose 0*f + o*f - 9 = 0. Suppose 66 = -f*l + 6*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69369, 1\/2, 2 in ascending order.\nAnswer: -69369, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8938131 to the power of 1\/2, to the nearest integer?\nAnswer: 2990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 + 1 = -99*o + 561 + 518 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f - 16f?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n = -13*n + 100 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g - 16. Let l be (15\/(-6))\/g*2. Let p be (l + -2)*(-8 + 0). What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 1. Let u(g) = -39*g**3 + g**2. Determine d(n) + u(n).\nAnswer: -39*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 3*f - 5*x - 15, 3 = -5*f - x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m)**(-3\/11)\/(m\/((m*m\/(m*m**(1\/2)\/m))\/m*m)*m)**(-37)*m\/(m**(-4)\/m)*(m*m**5)\/m*(m*(m**(2\/7)\/m)\/m*m*m)**(-27\/7) assuming m is positive.\nAnswer: m**(2405\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - -6 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203518421.\nAnswer: 3, 7, 127, 359, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 - 153.1. Which is the nearest to -0.2? (a) 5 (b) 2\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 888 and 8376504.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -6\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 5. Suppose 0 = -5*p - z - 10 - 14, 12 = -5*p + 2*z. Let h be a(p). Let w be h\/2 - 18\/(-4). Solve w*m - 2*q + 4 = 2*m, -4*q + 4 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*2*-2. Let w(f) = -10*f + 3*f - 3*f - d*f + 1. Let p be w(2). Which is smaller: p or -23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-60)\/5 + 11 + -14\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126277, 125767, 125235, 124675, 124081?\nAnswer: 123447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/147 and 81\/56?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108560 is divided by 531.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.102? (a) 4 (b) 5\/7 (c) -1 (d) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 70 = -3*p. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6943975 weeks to milliseconds.\nAnswer: 419971608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003991 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**(-34)\/(h\/(h\/h**(-1)*h))**(-1\/17)*h\/h**(7\/5)*h*h*(h*h\/(h\/(h**(-5)\/h*h)))\/h*h*h**5*h*h**(-2\/3) assuming h is positive.\nAnswer: h**(4186\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/17 - 1130*x**2\/17 + 165646*x\/17 - 1688038\/17.\nAnswer: 2*(x - 277)**2*(x - 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238107 is divided by 79366.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20422*c**5 + c + 5643 wrt c.\nAnswer: 408440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 971587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3000756 divided by -6\nAnswer: 500126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20859 or 374?\nAnswer: -20859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, l: 6, q: 1, n: 2}. What is prob of sequence qln?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*n + n**2 - 11*n**2 - 73*n**3 + 71*n**3 as y*n**2 + x + f*n + o*n**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u + 21*u**2 + 3 - 24*u**2 + 2*u**2. Calculate o(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41730*z + 41730*z + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f = 453*f - 1996 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 16. Let j = -47\/6 + f. Let k = -0.68 - -0.68. What is the biggest value in j, -5, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.6 + -9. Let v = w - 0.4. What is the biggest value in v, 0.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*o + 38. Let x = 22 + -15. Let m be 4\/(-6)*3 + x. Solve -o = -m*b - s, 4 = 4*b + 2*s - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049892.\nAnswer: 2, 3, 87491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1)*(14 + -13). Let i be 189\/245 + y\/7. Factor -1\/5 - 4\/5*n**3 - i*n**2 - 4\/5*n - 1\/5*n**4.\nAnswer: -(n + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/120 - 7*b**5\/60 - b**4\/12 - 11*b**3\/6 - 6*b**2 + 82*b. Calculate a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(243))*-1)**2 + (sqrt(3)*2*5 + (sqrt(27) - (-1 + sqrt(27))))**2.\nAnswer: 110*sqrt(3) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 15 = 5*c, 4*c + 0*h = 5*h - 17. Let t(f) be the second derivative of -1\/6*f**4 + 0 + 0*f**3 - f**c + f. What is the first derivative of t(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12 + 4*n**3 - 11*n + 9*n + n**2 - 2*n + 11*n**2 = 0. What is n?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56524, -112927, -169330, -225733, -282136?\n\"Answer: -56403*f - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 1:10 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1001000001001?\nAnswer: 1001000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 - 815 = -2*j + s, -2*j = -4*s - 1412. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26705026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 701, -1.069 in increasing order.\nAnswer: -1.069, 3, 701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68320138?\nAnswer: 2, 89, 383821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 3:28 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000291202 rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 + v - 1. Let g = -66 + 63. Let i(c) = -31*c**3 - 10*c**2 + 3*c - 3. Let l(r) = g*o(r) + i(r). What is the third derivative of l(d) wrt d?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 8004?\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43135631 is divided by 248?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, p: 4, i: 1}. What is prob of picking 2 l and 2 p?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110972968 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from {a: 1, y: 2, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 5 (c) 2 (d) -1226 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -3*r. Let b be r\/2 - 9\/3. Solve b = 3*f - 2*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408 - -14391028\nAnswer: 14390620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:31 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -0.4 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from vgrgggvc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*l*t**2 - 162*c**2*t**2 - 4*c*t**2 + 13*l*t**2 with respect to l.\nAnswer: 2*c**2*t**2 + 13*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 35*t. Let o(i) = 247*i**2 + 5985*i. Let b(p) = 171*h(p) + o(p). Let m(q) = 3*q - 9. Calculate b(m(d)).\nAnswer: 684*d**2 - 4104*d + 6156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**6\/10 - v**4\/3 + 30*v. What is the third derivative of z(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v**(2\/29))\/(v**11\/(v**13\/v)) assuming v is positive.\nAnswer: v**(201\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*x**2 + 434*x**2 - 5*x - 1458*x**2.\nAnswer: -657*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -23 - -26 - 47) + -15?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and 4\/6 + (-17)\/(-204)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 42 (b) 1 (c) 2\/19 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 17*f**2\/2 - 10*f + 2. Is h(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-7 - -4)) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/x**1)\/x)))**(-8))**(-7\/6) assuming x is positive.\nAnswer: x**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 151. Let z = -5 - -7. Suppose 75 = z*q + 3*q. Calculate the least common multiple of y and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 141, 409, 913, 1731?\nAnswer: 2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-63))\/(15\/2520*-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 21*o. Let p(r) = -14*r**2. Calculate h(p(y)).\nAnswer: -294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voo when three letters picked without replacement from voovvo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48415\/32276 + 1\/32276. Let b = -0.14 - 30.86. Is b != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (-52 + 9)) + 53\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 5, v: 7, b: 3}. Give prob of sequence vc.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90930541 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 31. Let x(i) = -44*i**m + 45*i**3 + 2*i - i. Let t(y) = 3*y. What is t(u) - 3*x(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 + 111. Solve w = a - 5*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000301692898 rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1242927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1815*b + 23104 = -1511*b for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -1 in increasing order.\nAnswer: -1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 > 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 224?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 3668*x**3 - 182796*x**2 - 2392828*x - 4083880 = 0. What is x?\nAnswer: -23, -2, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7563 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 value of (-5)\/4*263\/(123610\/(-21808))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 14*d - 429*d**3 - 14*d**2 + 9*d.\nAnswer: -429*d**3 - 14*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 + -192. Let y be 1 - (t - 18) - 1*2. Calculate the greatest common divisor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*v + 6*v + 17 = 0, 3 = 3*v. Suppose o = j - 3*j. Let c = 0 + j. Which is bigger: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-210)\/(-40))\/((-2)\/(-88)). What is h rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 4*m - 4*m + (-2*m - 2*m + 3*m)*(-2 + 0 + 3) - 6*m + 35 - 35)*(-2*m + 0*m - 2*m)*(3 - 2 - 2) as j + i*m + s*m**2 and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -27440000 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4575 - 7770. Let g = 5852 + b. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*h**2*p + 6*h**2*t - 130*h**2 - 2670*p*t - 9*t wrt p.\nAnswer: -7*h**2 - 2670*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -4. What is the remainder when (-98)\/6*(1 + -4) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 113. Suppose 4*w - 4*b = -200, 0 = w + 2*b + 3 + g. Let a = w + 58. Solve a*h - 1 = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - o + 5, 3*q + 4 = 2*q + 2*o. Let p be (2\/(-4))\/((60\/1816)\/(-15)). Let k = p - 223. Put q, -1, -2, k in ascending order.\nAnswer: -2, -1, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172 divided by -548\nAnswer: -43\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237 + -232. Solve -k - 13 + 1 = 4*j, 0 = u*k - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 156\/(-8) + 1\/2. Let n = 25 + q. Solve -n*g + 10 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100310310 - 3?\nAnswer: -100310313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1055)\/10)\/((-1)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 145\/4? (a) 12\/11 (b) -5 (c) -8\/7 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6700 - 6679. What is the remainder when c is divided by (-1)\/(-4) - 189\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42560 * 44\nAnswer: 1872640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*v**3 + 83820*v**2 - 27900075*v + 13266750 = 0. Calculate v.\nAnswer: 10\/21, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 30 = g - 8*v, 9*v = -g + 54 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 66*c**2 + 2*c - 2. Let g = 15 - 14. Is o(g) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 3 - 1 + 18*p**2 + 4*p. Suppose 3*r + 20*y = 18*y - 1, -5*r = 3*y + 3. Let x be h(r). Calculate the greatest common divisor of 62 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 times 0.2477?\nAnswer: 0.61925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.44? (a) -0.03 (b) 1\/69 (c) -0.1 (d) 0.2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 0.64. Let y = 4.406 + -0.006. Let c = y + g. Which is greater: c or -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*j + 224*j - 90 = 0. Suppose 2 - 2 = j*u. Solve 5*z + 0*n - 2*n - 8 = u, 3*n + 3 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -408*y. Let g(d) = 2*d**2. Determine i(g(s)).\nAnswer: -816*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and -0.02.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-65 - -105) + (8 - 35)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201483253 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: What is the tenth root of 616832005 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 11*h + 2 = k, 5*h = -5*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -37221, 0.05, 0.01 in descending order.\nAnswer: 0.05, 0.01, -37221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, 11, 4, -8 in increasing order.\nAnswer: -8, -5, -3, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*z = -10, -z + 20 = 2*l - 5*z. Let o(n) = n + 11. Let m be o(-7). Let h = 0 - 1. Sort h, m, l in descending order.\nAnswer: m, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6534873 and 3.4?\nAnswer: 6534869.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.2807mm in meters?\nAnswer: 0.0642807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {p: 3, b: 3, q: 3, v: 11}.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -153, 56, 3, 2, 5\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -7) + 2 + (60 - -11) + -9 - 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20906721 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 559892, 561817, 563742, 565667?\nAnswer: 567592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9381756ml?\nAnswer: 0.0009381756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65790)\/5160*(-4)\/(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9088 + -9010. Solve -a = -14*t + 27*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 30*v**2 + 67*v**2 - 2*v**3 - 53*v**2)*(0*v - 2*v + 4*v)*(-29*v + 251*v - 38*v).\nAnswer: -368*v**5 - 5888*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9114390 + 34447320 = -2*b. Let h be (415119\/9)\/(2\/1230). Let i = h + b. Round i to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.119*-0.285\nAnswer: -0.033915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-26)\/(m*m*m\/(m\/(m*m**(1\/4)))*m) assuming m is positive.\nAnswer: m**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 941741 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from {k: 7, z: 8, c: 5}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -5050469\nAnswer: 10100938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:30 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 148584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 20*g - 3. Let f be q(2). Suppose -f - 17 = -3*t. Calculate the highest common factor of 198 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198981 is divided by 175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/2127 (b) 0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4792? (a) -2\/3 (b) 5\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2832 = 3*u + 3*v - 2820, u = -3*v - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*314426.\nAnswer: -3458686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00813287 rounded to five decimal places?\nAnswer: -0.00813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27*z**2 + 2*z - 1. Let a be s(1). Let k = 21 - -28. Let x = k - a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13591 = -6*r - 310409. Round r to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10641584 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 30 - 7) + -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 9*m - 47. Let u be z(13). Let j(p) = 8*p + 9. Let c(f) = -2*f - 1. Let i(n) = 6*c(n) + j(n). Give i(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/54879 and 44\/63069.\nAnswer: 1153721217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 - -206. Calculate the highest common divisor of 117 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 67*z - 90. What is the hundreds digit of x(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83790 is divided by 1423.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 0.4, 12 in increasing order.\nAnswer: -12, 0.4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 10*d - 17. Determine u(-10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**19))\/g)\/(g*g**(-1\/12)\/g) assuming g is positive.\nAnswer: g**(-239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 - 11*w**2 + 9*w + 11. Let q(s) = -s + 21*s**2 - 5*s**2 - 4 - 10*s**2 - 2 - 4*s - s**3. Determine 6*m(j) + 11*q(j).\nAnswer: 7*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.409 + 2.58. Let n = h - -4.829. Let j = 4 + -3.98. Which is the smallest value? (a) n (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2390 - -4571. Let a = -2180.99996809 + l. What is a rounded to six decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -17. Suppose 21*i - j*i = -14500000. What is i rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 - 1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -31.1. Is t greater than or equal to 0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -208*v - 46. Let n(w) = 19*w. Determine j(n(c)).\nAnswer: -3952*c - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-33 - (22 + -68))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1001?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-45)*((-2754)\/3195)\/(-51)\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-68)\/(-18) - 310\/(-18). Does 23 divide 985\/25 + 3 + f\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13222034 - 13222506.01068. Let c = h - -472. Round c to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50.51 smaller than 117.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37066 - -37297. Calculate the remainder when k is divided by 228.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101110 + -100?\nAnswer: -110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471 = 53*i + 3*n, -47 = 184*i + 181*i - 368*i + 10*n for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3945, -4255, -4565?\n\"Answer: -310*v - 3635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -26. Let x(y) = 0*y**2 + 90*y**3 - 18*y**3 - y**2 + 1. Let g be x(1). What is the greatest common factor of g and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let b(k) = -k**2 + k + 1. Let o be b(1). Let x(r) = -6*r + 35. Let v be x(6). Put v, o, a in increasing order.\nAnswer: a, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w - 54. Let b be l(-18). Suppose -11*p + b = -2*p. Solve -5*z - p = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.5 - 15.5. Which is the closest to 1? (a) 0.4 (b) -1\/10 (c) -1\/6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-5)\/(-3)*3216\/1072\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 5. Let p be z(13). Let l(v) = v**2 + 6*v - 39. What is the units digit of l(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2152 + 362 = 5*y, -5*y + 4*j = -2517. List the prime factors of y.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257025.\nAnswer: 3, 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272425 is divided by 86.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + 50. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-14) - (-3)\/(-2). Suppose -5*q - 3 = 12, 4*n = 4*q + 12. Suppose -7*o - 21 = -n*o. Sort o, m, -2.\nAnswer: o, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 22 = 44 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 43525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1397555 to 3 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4\/3 - 2*r**3\/3 + r**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 1\/1*-1. Let q be 6\/27 - 86\/(-18). Suppose -q*c + 5 = -0. What is the closest to d in c, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 2*y + 0*y + 88.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/24 + w**3\/36 - 2*w. Factor y(o).\nAnswer: o*(3*o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120*-14426\nAnswer: 1731120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 8*b**2 + 4*b - 7. Let h be q(-5). Let r be h\/(-9)*(-3)\/2. Let s(l) = -l - 1. What is s(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5812*s**2 + 5813*s**2 + 23*s - 292*s + 2)*(11 + 0 - 1).\nAnswer: 10*s**2 - 2690*s + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c1 + -107?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-85))\/(3\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 y, and 1 k when four letters picked without replacement from {u: 3, d: 2, k: 4, y: 3, v: 1, g: 4}.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 25658118.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by -5\nAnswer: 114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/9 > -0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 0*a)*(-119 + 91 + 25 - 122 + 1 - 1 - 3 + (0 - 3 + 1)*(4 - 5 + 0) + 0 + 1 + 0).\nAnswer: 125*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1334128*b**3 - 442908*b.\nAnswer: -8004768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2740 at most as big as -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(o**3 - 2*o + 2*o) + o**3 - o**3 + o**3 + (234*o**2 - 123*o**2 - 929*o**2)*(1 + 2 - 1)*(3*o + 0*o - o).\nAnswer: -3270*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puup. What is prob of sequence pu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + ((-6006)\/(-378) - -29)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - v = -152, 5*b - v - 190 = v. Suppose -2*s - b = 4*m, 0 = -s - 3*m - 21. Calculate the remainder when 87 is divided by s\/10 - 315\/(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3\/6433, 2\/13.\nAnswer: -0.2, 3\/6433, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 803530 to the power of 1\/2, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 26. Let k be t(7). What is the tens digit of (2 - 5247\/k) + (-4)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 11303\/(-2670) + 14\/(-3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 k when four letters picked without replacement from dkkddkd?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*a + 705*a - 2809*a + 138060 = 0 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 7*f - 87. Suppose -o + l - f = 0, 2*o + 14 = -0*l + 4*l. Which is the second smallest value? (a) -2\/9 (b) 0.5 (c) o (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/37854 and 1\/17822.\nAnswer: 337316994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + f - 3. Let o be j(3). Let d = o - -11. Solve 0 = -3*a - d - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(209)*2 - ((2*sqrt(209) - sqrt(209))*-4 - sqrt(209)))*-3)\/(sqrt(11)*2*3 - (sqrt(11) - sqrt(11)*4)*-4).\nAnswer: 17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, h: 1, f: 3, v: 1, j: 2}. What is prob of sequence jf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*c = -269, 85 = 7*q - 8*q - 4*c. Let o = q + 139. Find the first derivative of -11*j**4 - o*j**3 + 100*j**3 - 50*j**3 - 7 wrt j.\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - u + 4. Let z(x) = x**3 + 1. Suppose 50 - 55 = -5*m. Give m*d(t) - 2*z(t).\nAnswer: t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*y + 24*y - 1270. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 9:08 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -65448.5297 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d)**28\/(d\/d**(7\/5)*d**3) assuming d is positive.\nAnswer: d**(827\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095343193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7807103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 15, -3*u + 15 = 5*s + 2*u. Let g(l) = l**3 + 6*l**2 + 4*l - 6. Let z be g(-5). List the prime factors of s - (z + (2 - 1)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-18)\/45)\/((-4)\/5))\/(5\/10). Which is smaller: 34.75 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(136)*-1)\/sqrt(8).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 + 3*j - 2. Let x be r(2). Suppose 0 = -w + 3*w - x. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = -0*a - 2*a, 4*t = -3*a + 30. Calculate the least common multiple of a and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3584202 and 10.\nAnswer: 17921010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a + 742 - 4642. Calculate the smallest common multiple of 40 and a.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -251.5, -0.3?\nAnswer: -251.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v - 120. Suppose 465 = 7*s - 4*s. Suppose -70 - s = -5*u. What is the highest common factor of u and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255 times -809?\nAnswer: -1824295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209*14.\nAnswer: -2926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*d**2 - 18\/5*d + 56\/15.\nAnswer: -2*(d - 1)*(d + 28)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 3*j**2\/2 + 4*j - 37. Let b be f(0). What is the highest common divisor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**3 + 6*l - 9\/2*l**2 - 8. Factor h(x).\nAnswer: 3*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 + 13*u**2\/5 - 8*u + 36\/5.\nAnswer: -(u - 9)*(u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1379)\/4 - (-1)\/(-4). Round z to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 9*m**2 - 2*m + 38. Determine l(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175994 and 728?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*g + 6*k + 216, 3*g + 3*k = 216. What is the first derivative of g - 78 + 0*f**2 - 5*f**2 wrt f?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740454937 to the power of 1\/2, to the nearest integer?\nAnswer: 41719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u**2 + 2050 - 3*u**2 - 2051.\nAnswer: -46*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1331685 and 159358305.\nAnswer: 478074915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48652 + 6?\nAnswer: -48645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 51*l**2 + 25*l + 61. What are the prime factors of u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 716485 - -5?\nAnswer: 716501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 18*g - 4*f - 15, -31 = -5*g - 2*f. Solve 8*q + 5 = g*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 + 4534420*u**3 + 36275600*u**2 + 72551360*u = 0.\nAnswer: -4, 0, 906892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -492 - -497. Suppose 4*h - 375 = z, -2*h = -0*z - y*z - 201. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50532693 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.7. Let s = o - 0.7000005. Round s to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188021.3 greater than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 8*y = -576. Suppose 4*q = 5*d + y, -5*q + 5*d - 24 + 119 = 0. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3279 - -3278. What is the biggest value in 0.86, 0, b?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f = -7*f. Let n = -2\/67 - -156\/737. What is the nearest to 0 in n, -0.04, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1974 and 1540.\nAnswer: 217140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10 - s + 8 + 2*s - 17. Let t(z) = 26*z**3 - z**2 + z - 1. Let j be t(1). Suppose -3*n - j = -7*n + 3*d, 5*d = n - 19. What is w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 111744720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((-4*(sqrt(208)*-1 + sqrt(208))*-3)\/((sqrt(4) + sqrt(12)\/sqrt(3) + sqrt(4))*-3 + (-6*sqrt(12)\/sqrt(3) - sqrt(4))))**2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -61*c + 2*c**2 + 61*c - 4*c**2. Let x(f) be the first derivative of 2*f**4\/3 + f + 3. Let y(r) be the first derivative of x(r). What is q(y(g))?\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 987745411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + -1 + 0 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-2 - (-306)\/(-30)). Is 9 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1 + 5, 3*f - 19 = -4*c. Suppose -3*g - 2*v = 3, 3*v + 9 = g - f. What is the derivative of 38*j**3 - 36*j**3 - 4 - g wrt j?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77611, 155225, 232839, 310453?\nAnswer: 388067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 45*q - 31. Let w(v) = -22*v + 15. Let g(k) = 11*w(k) + 6*z(k). Let j be g(19). Round j to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -69, 0.018?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-7 - -1) + (5 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 67. Let r be v(21). Let t(k) = -5*k - 8. Let i(j) = 15*j + 23. What is r*t(b) + 6*i(b)?\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44*22\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 8*s - 8. Let l be m(-10). Let o be 1\/((-2)\/l*-2). Suppose -o*n + 2 + 22 = 0. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40950517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + 430. Suppose 3*k - o = 8399. Suppose -621 + k = 5*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 w when four letters picked without replacement from {w: 3, b: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316172122.\nAnswer: 2, 3, 11, 11697839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.777967 rounded to one decimal place?\nAnswer: 43.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118715408 a multiple of 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(4 - 40\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - d - d)*(1 + 8 + 3) to y + f*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 10 + 3*k - 4*k)*(0 + 1 - 3) in the form w*k + l and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 1227 - 1557 = 36*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x - 76*x - 11*x**3 - 19101 + 19101 to the form l*x**2 + w*x**3 + c*x + u and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c*c*c**0)))*c)**39*((((c\/(c*c**5*c))\/c)\/c)\/c)\/c**6)**8)**(10\/13) assuming c is positive.\nAnswer: c**(-1200\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-70)*(-26)\/1287*3?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -11. Suppose 5*k + 49 + 71 = 0. Let m(o) = o**3 + 23*o**2 - 24*o - 4. Let q be m(k). Put n, -1\/4, q in increasing order.\nAnswer: q, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1043851893 divided by 347950631.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 + 193. What is the smallest common multiple of w and 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 4*u - 2. Let w be 9\/36*(-1 + 9). Let z(o) = -o. Let h(a) = a**2 + 3*a - 1. Let t(k) = h(k) + 4*z(k). Determine w*t(d) - i(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6625790 and 259730968.\nAnswer: 1298654840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {c: 10, v: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/22627 and 23\/77?\nAnswer: 158389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -12. Let g = s - -4.9. What is the smallest value in g, 5, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 - 14*d**2 - 71*d + 291. Give g(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2238 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 9084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 2928*s**2 + 193492*s.\nAnswer: -4*s*(s - 793)*(s + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010169 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 25, 4*l + 4*d - 2*d - 1054 = 0. Let o be (-1)\/4 + 306\/8. What is the greatest common divisor of l and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m + 62*m - 110*m - 212*m.\nAnswer: -285*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3371882 or 3371880?\nAnswer: 3371880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -20 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55004\/7 + -7858. What is the biggest value in -1\/5, m, 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 644\/(-46) + (2 - -33)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*i*u**2 - 1960*h**2*i + 2*h**2*u**3 - 2*h*i*u + 3*h*u**2 + 2*i*u**3 - 941*i*u wrt h?\nAnswer: 2*i*u**2 - 3920*i + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 624600606 divided by 2\nAnswer: 312300303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 7 - (-162 + 165)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 495 - 397. Suppose -42 = 14*a - r. What is the least common multiple of 2\/6*(56 + 1) and a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003956 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjeaajuu. Give prob of picking 1 m and 1 a.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 67716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386625 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 280\/12 - (-4)\/6. Let f be (-5 - -3) + 121707\/l. Let r = f - 5059. Find the common denominator of 65\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 50 - 131 = 0. Calculate the greatest common divisor of 297 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1606430 (base 9) in base 5?\nAnswer: -211443320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*l + 35*l + 13*l**3.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**7\/840 + b**6\/90 - b**4\/6 + 215*b**3\/3 - 191. Let s(r) be the third derivative of l(r). Determine s(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460 - ((-33)\/9 - (-18)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864241018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26534 - 26535. What is the closest to -2 in v, -203, -2\/17, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-1\/3)*v)*(v*v**(-6))\/v)\/(v\/(v*v*v**(1\/2)*v))**31)**(-34\/9))**(-11\/7) assuming v is positive.\nAnswer: v**(78727\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4662)\/(-54))\/(273\/(-117))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 3*c - 1. Let o be i(7). What is the highest common divisor of o and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6156677 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 73, 26117?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6482890 at most as big as 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4\/9 (c) -1.8491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/9 and (-16)\/(-18)*-12*8\/244?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 q when three letters picked without replacement from {j: 4, c: 7, l: 2, q: 1, s: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199563 and 1215266.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1266 - -1265. Which is bigger: h or 2\/19221?\nAnswer: 2\/19221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2421.61 - 2432.6213. Let q = l - -11. What is q rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 38 = -5*z. Let q = 16 + z. Factor -q - u + 9 + u**3.\nAnswer: u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -21*f**3 + 49*f**2 + 49. Let h(o) = 5*o**2 - 34*o**3 + 2 + 3 + 32*o**3. What is -49*h(r) + 5*s(r)?\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/3)\/((-5)\/10). Suppose -2*g + 49 = w - 73, 3*w + b*g = 362. List the prime factors of 4\/6 - w\/(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - z + 4995 = 0, 4*u + 2*z + 6660 = -2*z. What is the remainder when u\/(-25) - 2\/(-5) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/1494705721?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -87. Suppose -4*o + 5*h = 10*h - 2403, -3015 = -5*o - f*h. List the prime factors of o.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7877, -58, 6, -1 in decreasing order.\nAnswer: 6, -1, -58, -7877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-120)*(-624)\/(-104676)*122\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 79*s**2 + 3*s + 2. Let x be p(-1). Put -3, x, -4, 3 in ascending order.\nAnswer: -4, -3, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 1. Suppose q = -q - 6. What is the units digit of h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:21 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -432, 0.048?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.9, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663203 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -41?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755313047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775 divided by 16?\nAnswer: -1775\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2823098 + 0.2828. Round k to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105045166 - -105045165.24999673. Let c = -0.75 - l. Round c to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4*8\/(-64))\/((-2)\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -999\/11 + 91. Let n = -21 + 17. Which is the second biggest value? (a) -3 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -16830\nAnswer: -84150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445975 is divided by 165.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 11) in base 4?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -u + 4, -u - 2*k = u - 2. Solve u*o - 2 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {s: 5, i: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4970966 divided by 26\nAnswer: 191191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(2*s + 0*s - 3*s)*(-6 - 1 + 3)*(3 - 3 - 4).\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3358*r + 16505 + 8536 = -2867*r for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.222, 0.2, -4, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00156148769 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 + k**2 + 2*k + 4. Let f(t) = 4*t**3 - 2*t**2 - 2*t - 5. Let d(w) = 4*f(w) + 5*l(w). Find i such that d(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2802 = 4*d - 7*n, 3*n + 2814 = -4*d. Let i = -688 - d. What is the highest common divisor of i and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1933\/17 - 5141797\/45220. Let v = q + 2209\/665. Calculate the common denominator of v and 103\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/13, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651, 609, 533, 423, 279?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 22.28 (b) 4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7048.107 litres in millilitres?\nAnswer: 7048107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 281010 and 215832?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 1. Let b(y) = y**3 - 12*y**2 + 2*y - 18. Let t be b(12). Let q(x) = 5*x + 4. Determine t*a(k) + q(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1351\nAnswer: -3\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*y + 40, -19 + 4 = -4*y + x. Suppose -g = 5*d - 15, g + 21*d = 20*d + 7. Solve -3*v - 20 = y*m, 32 = -g*m - 4*v + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5024 + 28?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*u = -86, -u = 2*u - 15. What is the remainder when z is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -4, -2, 12.9?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 8 - 8*n - n**3 - 7*n**2 - 4*n. What is the units digit of g(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 3 = 0. Suppose n = f, -3*l + 523 = l - f. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5890962 and 3608.\nAnswer: 23563848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let d(x) = 2*x**2 - 5*x - 2. Let b(v) = -8*v**2 + 21*v + 9. Let i(z) = 2*b(z) + 9*d(z). Determine y(i(h)).\nAnswer: 4*h**4 - 12*h**3 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4210911 to the nearest integer?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 + 257 = -q + 131 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -457736 divided by 1973\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*x - 9352, -3*t = 4*x - 0*x - 7478. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12303303202 (base 4) in base 3?\nAnswer: 10100200122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 18*g - 7 - 1 - 10 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10312 + -1?\nAnswer: -10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7119945 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-320)\/(-2520)*-36 - -58.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p - 1. Suppose 5*y + 14 = 4. Calculate k(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16 (b) 0.9175 (c) -13 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-60) - 12\/(-45)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/60 - (-2)\/(-8). Suppose -5*d - 194 + 854 = j. What is the highest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206913 and 266031?\nAnswer: 1862217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 165 - 4*u**3 + 91*u + 88*u - 181*u in the form g*u**3 + s*u + k + a*u**2 and give k.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 17*s**2 + 16*s - 20. Give v(16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*v + 189 = -w, v = 3*w - 209. Is 2 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:02 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 19. Let u be d\/7 - 2\/7. Suppose v = 2*p + 3, -3*p = -v - u + 4. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3 + 29*z**2 - 15*z**2 + 3*z - 2*z + 111*z**2. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*l**2 + 61*l**2 - 410*l**2 - 82*l**3 + 191*l**2.\nAnswer: -82*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -210279?\nAnswer: 11\/70093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7185479377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-4908))\/(2\/6). Is 1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8137 times 52793\nAnswer: 429576641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -2\/3 (b) 28 (c) 7 (d) 0.3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-12)\/(-60)*-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046481 rounded to seven dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547 = -3*w - 2*x + 4*x, 4*w + 2*x = 720. Suppose -177*c + w*c = 16. Solve -2*y + 2 = c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2)*m)\/m*m*m**(1\/8))\/((m\/(m**(2\/3)*m))\/m*m**(-6)))\/((m**(-2)*m)**(-36))**(2\/67) assuming m is positive.\nAnswer: m**(17233\/1608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.63 and 6.\nAnswer: 4.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 - (-38)\/14. Suppose -12*h = -14*h + 4. Solve 2\/3 + 2\/3*y + 2*y**i - 10\/3*y**h = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -1\/5, -0.5, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4*y + 11530*o**4 - 3*o**3*y + 2*o**3 - 22104*o**2*y + 2*o - 19*y wrt o.\nAnswer: -48*o*y + 276720*o - 18*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/146 and -149\/6.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-3)*j)\/j)\/j**(2\/3)*(j**(-2\/15)*j)\/(j**5*j))**(4\/7) assuming j is positive.\nAnswer: j**(-156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l - 1. Let z(i) = i - 2. Let c be z(-3). Let s(y) be the third derivative of -7*y**5\/60 + y**4\/6 + 2*y**3\/3 + 2*y**2. Calculate c*x(f) - s(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010 + 1001?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y + 38*y = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -48. Let r = 42 + a. Suppose 38 + r = 5*o. Calculate the remainder when 57 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plm. What is prob of picking 1 p and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 18.89?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 2 - 4)*(1 - 1 + d)*(55 - 5*d - 55) as m*d + o*d**2 + b and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/9)\/r*r)\/r)**23\/(r**(-1\/4))**(2\/7) assuming r is positive.\nAnswer: r**(-635\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72710, -145311, -217912, -290513, -363114?\nAnswer: -435715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*n - 53115 = 0, 3*h = -59*n + 61*n + 31869. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6452 - 6451.8752. What is p rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425 (base 11) to base 15.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317.361 - 5.661. Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g + 9. Let s be 9*1*(-3)\/g. Let p(z) = 4*z - 13. Let m(h) = -6*h + 19. Let j(b) = -5*m(b) - 7*p(b). What is j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 8*q - 25. Let g be i(-4). Suppose -g*n + 1824 = -1626. Does 27 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 61.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -13. Let a(i) = -i**2 + 0*i + i**3 - 11 + 11*i - 5*i**2 + 1. Is a(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-20 - (27 + -23)) - 31.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/11))**(-7)\/(f**(-3\/14))**(1\/34) assuming f is positive.\nAnswer: f**(-3299\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -803*r + 310?\nAnswer: -803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134.7 + 143. Let f = w + -8. Which is the biggest value? (a) f (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**8\/2240 - q**7\/140 - q**4\/6 + 11*q**3\/3 + 3*q + 5. Let a(h) be the third derivative of z(h). Find t such that a(t) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g, -d + 3 = g + 4. Suppose -2*p - 3 = -3*p. Suppose h + 1 = b, 2*b - 4*h - 6 = -b. Sort b, d, p.\nAnswer: b, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**3 - 2*f + 1. Let b be s(1). Suppose -4 = -b*g + 16. Solve g*z - 2 - 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldeu when four letters picked without replacement from lluecdca?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 13*j**2 - j - 11. Let s be 2*13\/(-6)*3. Let c be x(s). Factor 8\/7*t**c + 0 - 2\/7*t**3 - 6\/7*t.\nAnswer: -2*t*(t - 3)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 43, -103, -806 in ascending order.\nAnswer: -806, -103, -2, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -37*c + 4395. Give w(118).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 602988684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.9.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18 and -67\/1908?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 8:26 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -29.18883914418.\nAnswer: -31.18883914418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7049957 divided by -39?\nAnswer: 7049957\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/7 + 6\/(-7). Let d = -73 - -61. Put d, 8, x in ascending order.\nAnswer: d, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q - 25. Let f = -1862 + 1862. Suppose -v + q*v - 440 = f. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 369 - 2213\/6. Suppose 3*y + 4 = -8. What is the nearest to -4 in y, a, -1\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 4*k + 12. Let a be s(5). Let y be 2*(-2019)\/12*-2. Suppose -8*j + y = -a*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 10. Let s(j) = -j + 5. Let g(f) = 2*m(f) - 5*s(f). Give g(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 195650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116399, 465581, 1047551, 1862309, 2909855, 4190189?\nAnswer: 5703311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-729)\/(-54) + (2 - (11 + 6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151920 and 2220?\nAnswer: 5621040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 21. Sort 4, 0.1, l.\nAnswer: 0.1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17 + 37)*2\/20*6 is divided by (1\/(-1))\/(2\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 58 = -10. What is the lowest common multiple of a and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-920)\/27 + -52 + (-32338)\/(-621)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/5566*(-67)\/(4824\/(-48)).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-40) + (-2 - 27\/(-15)). Factor 2\/3*v**2 + 0*v + p.\nAnswer: 2*v**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.2, -2, -1\/6, -209 in descending order.\nAnswer: 2\/13, -1\/6, -0.2, -2, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 368325.\nAnswer: 2209950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4*l - 4, -3*l = -3*o - 0*l - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -926?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-202)\/3333*11\/(-9)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 + 20*k + 19. Let m be b(-2). Solve 5*j - 2*s - 1 = -10, m*s = j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 p when four letters picked without replacement from plpll.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*c - 6 + 8)*(-4 + 2 - 7)*(c**2 + 2*c**2 - c**2) + (0*c**2 + 0*c**2 - 4*c**3)*(0 + 1 - 2) + 3*c + 2*c**3 - 3*c.\nAnswer: -66*c**3 - 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 + 0.89. Let r = d + -4. What is the nearest to -0.1 in 3, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) - (4*sqrt(882)*3 + sqrt(882) + sqrt(882)))\/(sqrt(27)\/(sqrt(9)\/(-3*sqrt(3)))).\nAnswer: 91*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 5*c + 12. Suppose 285 = 5*q + 2*y, q + c*y - 34 = 10. Suppose 15 - q = -4*s. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 83. Suppose 40 = -j*o + 45*o. Solve -3*v + o*v + a = -6, -4*a - 8 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2069057801 to the nearest integer?\nAnswer: 45487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -8\/3. Let t(m) = -299 + 320 - 4*m**3 + 2*m**2 + 3*m**3 + 12*m - 4*m**2. Let f be t(-4). Which is the closest to n? (a) 4\/3 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(2 - 2 - 2 - 5*o) + (-2 + 2 - o)*(1 + 0 - 3) + (1 + 1 - 1)*(3*o + 0*o - 5*o).\nAnswer: -5*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 1. Let v(a) = -3*a**2 + 142. Give -2*u(t) - v(t).\nAnswer: -t**2 - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1 = 16*p - 15*p, -6*p + 57 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 - 3?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558728934 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 17\/4, -2\/13, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**4\/8 + x**3\/6 - 5*x - 3. Let j(k) be the first derivative of a(k). Solve j(w) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -7*k - u, k - u - 1 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 16 = -5*s. Suppose 34 = s*d + 10. What is the third derivative of -16 - 4*g**2 - 4*g**d + 16 wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1797*m - 20. Let s(g) = -5651565*g - 62895. Give 12579*d(t) - 4*s(t).\nAnswer: 1797*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 63. Let l(q) be the second derivative of 0*q**2 - 2*q + 0 + d*q**3 - 1\/12*q**4. Let z(m) = m**2. Give z(l(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from eueueeeeuuuuueeeuuue?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*s - 2022855 = -9139188. List the prime factors of s.\nAnswer: 3, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1095, -9280, -31433, -74538, -145579?\n\"Answer: -1164*l**3 - 37*l + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -731552\nAnswer: -5\/731552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 0.07. Let k = 4481.1 - 4480.6. What is the second smallest value in -2, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 2*v**2 - 5*v. Let a(i) = -27*i + 38*i + 3*i**3 - 3*i**3 + 5*i**2 + 5*i**3. What is -3*a(f) - 7*y(f)?\nAnswer: -f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 2. Let x(h) = -2*h - 14. Let y be x(u). Suppose -2*l = l - y*j - 25, 2*j = -3*l + 19. Solve -5*k + l + 13 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22100 - 12133?\nAnswer: -34233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) - ((-616)\/(-21))\/22. What are the prime factors of (f - -4)\/(6\/147)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5321 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 times 173.27\nAnswer: 658.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let l = t + 3. What is the nearest to l in -2\/3, 1\/4, -3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8741 + 8853. What is the highest common factor of g and 1036?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and 128139?\nAnswer: 128128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l + 22. What is i(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8612821, -8612818, -8612815?\n\"Answer: 3*o - 8612824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -28.07. Let m = 0.06 + 0.08. Let a = m + j. What is a rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1546, 1533, 1536, 1555, 1590, 1641?\nAnswer: 1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756078139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149927*u - 54 = 149900*u. Factor -18*r + 6*r**u + 18 - 2\/3*r**3.\nAnswer: -2*(r - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 90, 324, 654, 1086, 1626, 2280, 3054, 3954?\n\"Answer: f**3 + 42*f**2 + 101*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 40*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 248 - 650520?\nAnswer: -650261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 185, 2\/11, -3\/5 in decreasing order.\nAnswer: 185, 2, 2\/11, -3\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41279 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 446053409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 + 4*r - 13. Calculate q(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4290691 is divided by 1970?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6540768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20883 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 0 + 0)*(-59*y + 24*y - 27*y)*(3 - 3 - 2*y**2).\nAnswer: -248*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1686 = -6*h. Suppose -2*s = 114 - h. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*z - 22 = 3, 0 = b - 5*z + 23. Let q(t) = 6718*t**2 - 5*t + 8. Let v be q(b). What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37186 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010971230048 rounded to six dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -150, -333, -588?\n\"Answer: -36*u**2 - 3*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = -7. Let q(l) = -l**3 - l**2 - 4. Let u be q(0). Do u and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 335416446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*i - 8005 = -44565. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q + u, -5*q + 4*q - 5*u = 1. Let d(k) = -2*k + 0 + 0*k + q. Let s = -22 - -27. What is d(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 49 + -27 - 17) + 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(-3*sqrt(22)\/sqrt(11)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 49.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 21*q - 31. Let d be (-1)\/(3 - (-20)\/(-7)). Let g be i(d). Factor -140*f**2 + 20*f + g*f**2 + 69*f**2.\nAnswer: -4*f*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1762 - 1800. What is the nearest to 0 in -1, 5\/2, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 3\/7 (c) 3\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (-42)\/18. Let u be (-4 - 8)*1\/c. Let w(b) = 6 + 3*b + b**3 - 4*b - 3*b**2 - 5*b. Give w(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpxpxqxxp. Give prob of sequence xp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178.92 - 178.92. Let y be (3\/(-14))\/((-6)\/(-184)). Let j = -48\/7 - y. Sort l, j, 2, 1\/6.\nAnswer: j, l, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7 = -21. Let r(a) = w*a - 3 - 1 + 7 - 1. Is r(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -716*c**2 + 11470*c - 218. What is n(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1\/10, -3, -18, -0.075264?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 719 + -716. Let u(i) be the first derivative of 4 + 0*i**4 + 0*i - o*i**3 - 3\/5*i**5 + 0*i**2. Find the third derivative of u(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11192 and 4864.\nAnswer: 6804736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - u**5 - 3*u**5 + (2 - 2 + 2)*(-887*u**5 - 383*u**5 - 27*u**5).\nAnswer: -2599*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 3, g: 5}. What is prob of picking 1 g and 1 y?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75252 by 1.\nAnswer: -75252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338573 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.45211 rounded to 2 decimal places?\nAnswer: -209.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -37 - 53. Factor -49*m**3 + 0*m**3 - g*m**4 + 3*m**4 - 8*m**2 + 12*m.\nAnswer: -m*(m + 3)*(3*m + 2)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19\/3 (b) -2\/13 (c) -2\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. What is c in -2*c + 5*c - b*c**2 + c = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3050, 34, 11 in decreasing order.\nAnswer: 34, 11, -2, -3050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/9, 1\/5, 4, 14, 5\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 8*m - 19*m. Let s be (m - 0)*38\/(-76). Let -2\/5*n**3 - 6\/5*n**2 + s - 4\/5*n = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43703144 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 158. Calculate the remainder when 14 is divided by (-279)\/u + (20\/(-11) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 1, u: 1, p: 2}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018590361 to seven dps.\nAnswer: -0.0001859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**2 + 1048*f - 141. Let q be y(-75). Solve -3*u - 15 = -c, -c - 5*u - q = -4*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 7:53 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**4*t + 50*k**3*t**3 + k**2*t - 2*k - 73*t**3 wrt k.\nAnswer: -120*k*t + 300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)\/(12\/3 + -7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12. Let b be u\/(-2)*12\/(-18). What is the fourth smallest value in -0.4, -24, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198381985 to the power of 1\/2, to the nearest integer?\nAnswer: 14085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 387*x - 4811. Determine c(13).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 16. Let v be i(13). Suppose -f + v = -27. Let m = 58 - f. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -9. Let u be 6\/(-18) + (-32)\/f. Let h = -3 + u. Solve -m + h*i + 7 = 0, -5*i = -m + 20 + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 16 = 6*t. What is the closest to 0.2 in 5, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:28 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1173 and (183\/(-12) - 0)\/(((-750)\/24)\/25).\nAnswer: 5865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 15, z: 3}?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582161050 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plehhbil. Give prob of picking 2 h, 1 b, and 1 p.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57763 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**26\/s)\/s))**(14\/13)*s**(-2\/57)*s*s**(-2\/19)*s assuming s is positive.\nAnswer: s**(-16976\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, n: 4, g: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mdskdmg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 892.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 52 in increasing order.\nAnswer: -3, -2, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3279 + -52449\/16. What is the common denominator of 9\/512 and c?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 4*n**2 + 6*n**2)*(3 - 1 - 5)*(4 - 1 - 4).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 + 113.7. Let u = m + -68.716. Let w = u - 42. Round w to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.5, 3\/10, -1714\/29?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10671091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 637199837 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2441442240 (base 5) to base 15\nAnswer: -79c1ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*t**2 + 22*t**2 + 198*t**2 + (-7 + 3 + 3)*(20*t + 2 + 2*t**2 - 20*t).\nAnswer: 279*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {t: 2, m: 1, d: 1, e: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 - 5.9. Which is smaller: 36 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 7*l - 4*l + 10 = -20, -3*k - 3*l = -48 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqw when three letters picked without replacement from wcqqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 982 + 402. Suppose 0 = -4*h + b - 160. Let c = -97 + h. What are the prime factors of c?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-21) + 2831\/133 + -22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m = -41*m + 11. Let i = -5 - -37. Calculate the remainder when i is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 0*b + 3614*b**2 - 2*b.\nAnswer: 3614*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/59 - 272\/295. What is the smallest value in 11, 2, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -972.01149 - -972. What is f rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 49. Give q(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*-2*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 51, -6074 in ascending order.\nAnswer: -6074, -1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/5*-1*(-288)\/(-72)*(-10)\/(-1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/60 - 5*s**4\/12 - 2*s**3\/3 - s**2. Let q be o(8). Calculate the common denominator of 4\/7 and (-1210)\/28 + q\/70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g**14*g))\/g))**(2\/79)\/(g**(-17))**(-22\/9) assuming g is positive.\nAnswer: g**(-29258\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17\/179, 33, -5?\nAnswer: 17\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 4, m: 6, r: 2}. What is prob of sequence ier?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262 - -267. Solve u*z - 22 - 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1)\/(1\/(-2)). Solve i*k - 5*t - 13 = 0, -5*k = -4*k + 5*t + 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18241 is divided by 51.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011151876 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15538?\nAnswer: 2, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20 - -9) + (3 - -10377) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:12 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1564, 3076, 4586, 6094, 7600?\n\"Answer: -k**2 + 1515*k + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 91*o + 1023. What is q(55)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 236\/3*n**3 - 124\/3*n**4 + 4\/3*n**5 - 116\/3*n**2 + 0*n + 0.\nAnswer: 4*n**2*(n - 29)*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-1605)\/5350)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033113313 (base 4) to base 2.\nAnswer: 1001111010111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - sqrt(500)*1) + (sqrt(5) - (-1 + sqrt(180))**2))*-1.\nAnswer: -13*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2212 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 676044 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: Express -1 - 2*i**3 + 1 + (2*i**2 - 2*i**2 - 2*i**2)*(3*i - i - 6*i) as q*i + s + j*i**3 + f*i**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9869172 is divided by 1095.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:18 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*w - 0*w - 8, 3*w = 5*u - 11. Let y(a) = -6*a - 1 + 4*a - 4*a + u*a. Give y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969489349 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -12. Let j be (-8)\/18*(-3)\/(-2). What is the closest to j in 0.3, 3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041428 to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10329205*k**2*t**5 + k**2*t - k**2 - 21*k*t + 811*k + 15 wrt t.\nAnswer: 206584100*k**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2520144 and -232053.\nAnswer: 2288091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121415 (base 9) in base 12?\nAnswer: 36472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4))\/((-3)\/(-8)). What is the third derivative of -3*g**6 + 63*g + s*g**2 - 63*g wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s. Let c(g) = -2*g. Suppose -3*f + 13 = 1. Let p(o) = f*b(o) + 5*c(o). Let r(z) = -z**2 + 4. Let l(w) = -1. Let i(k) = 4*l(k) + r(k). Give p(i(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r**5 + 8*r**4 + 30*r**3 - 32*r**2 + 8*r = 0. What is r?\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770469 is divided by 256821?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 42 = -7*l. Suppose 5*y + 2*w - l = -0*y, -2*w = 2*y - 12. What is the lowest common multiple of -1 + 4 + -2 + 1 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 776 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.58 + 0.28. Sort 3, -2\/13, j.\nAnswer: j, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x, -t - x - 4*x + 7*x + 6 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - -1 - (29 - (-18 + 60))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 378, 1986, 6034, 13740, 26322?\n\"Answer: 203*h**3 + 2*h**2 + 181*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 12*n = -4*r - 12*n + 41, -3*r - 4*n = 5*r - 196 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 88*l**2 - 53. Let q(x) = 132*x**2 - 79. Let m(w) = -8*f(w) + 5*q(w). Differentiate m(v) with respect to v.\nAnswer: -88*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 84 = 0. Let u be l\/14 - 6\/(-2). Suppose -u*v = -v - 476. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 5*b + 4. Let f be o(-5). Solve -3*u - 2*a = -f*a - 5, -4*u - 24 = 5*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 + 125. What is the common denominator of -65\/12 and (0 - 70\/12)\/(p - 6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112112 (base 4) in base 6?\nAnswer: 10342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 2 (b) -2 (c) -417 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14)\/(o\/o**(-7\/5)))\/(o**3)**(-4\/3))**(-6\/25) assuming o is positive.\nAnswer: o**(372\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 9*x - 23 = 0. Suppose 0 = -w + 31 - x. Suppose -86 + 366 = w*c. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 34. What is the nearest to l in 5, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 12896 - 9357 - 3*j.\nAnswer: 2*j + 3539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/3 - 27*h**3 - 730*h**2\/3 + 924*h - 1960\/3 = 0. What is h?\nAnswer: -70, -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1713979971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 2. Let m(z) = 9*z + 3. Calculate the remainder when m(3) is divided by t(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 + -4. Let b be 2\/11 - 777\/4455. Let m = 31\/135 - b. Sort i, m, 2 in ascending order.\nAnswer: m, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 4. Let s(f) = -1. Let k be 10 + -22 + 1 + 12. Calculate k*y(a) - 6*s(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9792 and 183132.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -257.3, 5, 1, 3\/7 in increasing order.\nAnswer: -257.3, 3\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -60*q**2 + q. Let m(t) = -t**2 + t. What is 4*d(o) - 4*m(o)?\nAnswer: -236*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -277*z - 3912. Calculate p(-15).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 14 = -p, 0 = -5*m + p - 0*p - 26. Let b be (-7 + (0 - -6))\/(12\/(-8)). What is the second biggest value in b, m, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f = -2933 + 5899 - 2941 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 335, 510, 667, 800, 903, 970, 995?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45257\/6 + 7544. What is the closest to 6\/7 in q, 2, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 58 - 54 = 0. Let y = -129 + 294. Suppose -o - 3*p + 49 = m*p, 5*o - y = -5*p. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 118030344 divided by 6\nAnswer: 19671724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -98*u**2 + 12*u - 41. Let a(l) = 25*l**2 - 3*l + 11. Let v(f) = -15*a(f) - 4*q(f). Let d(n) = -50*n**2 + 8*n + 3. Calculate 3*d(s) + 8*v(s).\nAnswer: -14*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blbkbkbte. Give prob of picking 1 t and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 3*z**5\/100 + 167*z**4\/10 + 133*z**3\/2 + 498*z**2\/5 - 2875*z. Factor x(k).\nAnswer: 3*(k + 1)**2*(k + 332)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d096 - 0?\nAnswer: 4d096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 0*w - w + (w + 0*w - 2*w)*(-2 + 5 - 1) + 66224 - 66224 + 680*w)*(-3*w**2 + 3*w**2 + 2*w**2) to v*w**2 + m*w**3 + l + s*w and give m.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1373, -2738, -4101, -5462?\nAnswer: -6821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -18*o**3 - 5*o**2 - 5*o - 3. Let f(r) = 9*r**3 + 3*r**2 + 3*r + 1. Let t(c) = 5*f(c) + 3*z(c). What is the derivative of t(q) wrt q?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4477 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 7. Let y be i(0). Suppose -u + y = 2. Sort u, 2, -2 in descending order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 take away -97?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2*y + 7)*(-4 - 2 + 4)*(5 - 3 - 3).\nAnswer: 4*y + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10714, 0.1, -0.4, -0.57?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.1, 1, -216, -2\/9, -22?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Suppose 0 = 3*f - 3*r + r - 24, 0 = -l*f - 5*r + 55. What is the units digit of (-1)\/(f\/(-4) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1054*b**2 - 360*b**3 + 1054*b**2)*(-3 + 4 + 1).\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:27 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*o**4 - 7120*o**3 + 537304*o**2 - 4323264*o + 9217296.\nAnswer: (o - 138)**2*(5*o - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:00 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 1850?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -7) + 10 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 173*n - 172. Let k be q(-1). Solve -12 = -4*h, b - k*h - 3 = -11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 9*x**2 - 3*x. Let g be o(8). Suppose -3*d = v - g, -d + 3*v = 4*d - 48. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 4*z + u - 610, 2*u - 761 = -5*z. Calculate the greatest common factor of 102 and z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - i - 46 + 28*i.\nAnswer: 27*i - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -546, -573, -614, -675?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 11\/5, -3\/8, -0.07, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*-1)\/(-32 - -31)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 10:37 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*a + 630*a = 2*t - 7, -a - 4*t - 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 18. Suppose 3*z = -g + 21. Suppose 0 = -5*r - z*l + 50, 2*r - 3*l - 26 = l. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11550 by 25.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2497*b**3 - b**2 + 279*b - 21 wrt b?\nAnswer: -14982*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23387512367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80762?\nAnswer: 2, 11, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.124 + 0.114. Let q = 0.01 + p. What is the nearest to q in -3, -2\/3, 3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2973 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*l + 2*s - 199, s = 3*l - 562. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 25 - 89 = 0. What is the smallest common multiple of 1 - (152\/s - (-6)\/4) and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -82. Calculate the lowest common multiple of 6 and (k + 6)\/((-72)\/(-3048)).\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0. Suppose 14*g - 120 = 18*g. Let z be 7\/21 - (-1 + g\/(-9)). Which is the nearest to l? (a) -1\/6 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 913.91ml?\nAnswer: 0.91391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 7:10 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62321.\nAnswer: 7, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 + 14*f + 276 - 950 + 167 + 177 + 165.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -18682?\nAnswer: -18682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16190 + 16188. Which is the smallest value? (a) 45 (b) u (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b. Suppose 2*t + b*t = -24200. Round t to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from iviiiiiiiiiviiiiii.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1688101 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 5)*(4*z + z - 3*z)*(9 + 1 + 0)*(-190*z**2 - 2*z + 1 + 190*z**2 + 3*z**4).\nAnswer: -600*z**5 + 400*z**2 - 200*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36600082 divided by -2\nAnswer: 18300041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**5\/30 + 10*b**4\/9 + 19*b**3\/9 - 1003*b. Determine y so that d(y) = 0.\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 598 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4266378ug in kilograms?\nAnswer: 0.0000000004266378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:46 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4*o + 1. Let r be j(-5). Suppose r*g = -18 + 48. Suppose -5*y - 19 - 1 = -g*z, 1 = 2*z + 5*y. What is the lowest common multiple of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) 0.1 (b) -0.5 (c) 3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 4. Let q be h(-2). Let j(n) = 3*n + 6. Let s be j(q). Is (s\/(-9))\/(4\/(-4242)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 9d0e5?\nAnswer: 9d0e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 - 240. Let x(b) = -s*b - 467*b - 40*b. Let h(k) = -2*k**2. Determine x(h(v)).\nAnswer: 1156*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -322*f**2 + f**3 - 13 + 322*f**2 to the form b + c*f**2 + g*f + a*f**3 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 0.19 (b) 0.5 (c) 218 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -726, -1724, -2718, -3708?\n\"Answer: 2*p**2 - 1004*p + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -2 (c) 0.4 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 36085056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446738*c**2 - 223359*c**2 - 112 - 223369*c**2.\nAnswer: 10*c**2 - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 11*d**2 - 29*d + 3848. Let q be v(0). What is the greatest common factor of q and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 26 = -8*s - 12*s. Let c = -0.04 - -0.54. Sort s, 3, -2\/3, c in descending order.\nAnswer: 3, c, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.02 + 0.02. Let w = -17.5 - -7.7. Let b = i - w. Which is bigger: b or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1062124 + 14?\nAnswer: -1062110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 27048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30735 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201054 (base 7) in base 14?\nAnswer: -701d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39\/(-12) - -2)*-4. Suppose -x + 4 = 0, p + i*x - 2632 = -3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:10 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, y: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(2299) + (sqrt(2299) - sqrt(2299)*-1)*-4 + sqrt(2299) - sqrt(2299)))**2 - (-4 + ((1*sqrt(399) - sqrt(399))\/sqrt(7))\/(sqrt(48)*4)).\nAnswer: 308*sqrt(19) + 225308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let b be i(0). Suppose 6*u + 24 + 516 = b. Let x = u - -150. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1*-1 - 2. Suppose -2*y + 27 + 115 = d. Suppose 0 = -4*r + 5*o + y, -11 = -4*r + 3*o + 70. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-10)\/m)\/m*m)**(-1)\/(m*m**9)**9)**(-26) assuming m is positive.\nAnswer: m**2106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*b = 0, 41*b - 38*b - 2 - 14 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 228 - 969. Let p = -166 + j. Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 24 + 22 - x + 2. Let h(k) = 2*k - 6. Let o(z) = -z + 5. Let w(s) = -5*h(s) - 6*o(s). Give 5*r(q) - 4*w(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36789619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/4)\/((-3)\/(-12)). Let y = q - 4. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 + 514. Suppose -4*d = -d - j. Suppose 5*w - 21 = 4*w. Calculate the highest common factor of d and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-32))\/(2\/(-8)). Which is the third smallest value? (a) 3\/5 (b) y (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 832126?\nAnswer: 18306772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111354798487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5858 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 3 - -6 - -12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1230002662*c**2 - 446742287 with respect to c.\nAnswer: 2460005324*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -15*3\/(-9). Let i(z) = -6 + 25*z + 2*z**2 + 10*z**3 - 5*z**3 - 3*z**3. Is i(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-10)\/(-6))*6 - 30\/5. Solve -3 = -7*m + 5*m + s, -p*s = -2*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118226455?\nAnswer: 5, 19, 617, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 366078080 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*o + 46, 5 = -o - q - 6. Let u be (-4)\/(-10) + 4\/o. Suppose -332 = -4*a - 2*g - u*g, -4*a = -g - 332. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 13*w**2 - w**2 + w**2 + 2*w**2 + 4*w**2 - 6*w**2 + 0*w**2 + (-2*w + w - w)*(1 - 1 + 2*w))*(-1 + 2 - 2).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5 + 169*a**3 + 184*a**2 wrt a?\nAnswer: -120*a**2 + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v\/(v*v**(-9)*v))))*v*v*v)**(-2\/59) assuming v is positive.\nAnswer: v**(6\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from rrrkkrkrrrrrrr?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3676311\/2 or 1838155?\nAnswer: 1838155","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358594967 is divided by 4363?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7795567*s - 1932 = -7795609*s for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 33*z - 35*z - z**2 + 74*z + 3*z**2.\nAnswer: 2*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from lrxkblr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 - -182. Calculate the smallest common multiple of q and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/4 - u**3\/6 + 32*u + 2. Let x(m) = 5*m - 5*m - m. Determine x(b(g)).\nAnswer: 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 8, l: 3, e: 1, p: 6}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 14)*(3 + 0 - 1)*(0*k + 2*k + 3*k).\nAnswer: -220*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:52 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111311232222 - 20?\nAnswer: -111311232302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1160 + -18770528.\nAnswer: -18769368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 200999 - -5117.\nAnswer: 206116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -335 - -337. Solve 2 = 4*d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b*o**3 - 5*b*o + 7*b + o**3 - 6*o**2 + 6*o - 1 wrt o.\nAnswer: -60*b*o + 6*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*299\/78 - 16\/18*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426412.\nAnswer: 2, 7, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-1)\/((-6)\/15)). Let f be (-2)\/(-6) - (-356)\/30. Let z = -539\/45 + f. What is the nearest to m in 1\/2, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*1*-1*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*u = -22907 - 15350, 4*k - 76439 = -5*u. Let w = 1147043\/60 - k. Let j = -676207\/30 - -22538. What is the common denominator of j and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248338997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -464\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87000 and 10517.\nAnswer: 97517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 - (-2185)\/(23\/(-1))*(-3)\/(-15).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 4, i: 10, f: 1}. Give prob of sequence rfcr.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 403, 941, 1477, 2011?\n\"Answer: -z**2 + 541*z - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 3*t**2 - 1. Let m be n(-2). Let s be 40\/18 - (5 - m). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2 (c) 0.01 (d) 46156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.1. Let o = y + 6.9. Let t = o - 10. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4543, -9080, -13627, -18190, -22775?\nAnswer: -27388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 13*x**2 - 2*x. Suppose -7*t = -11*t + 24. Calculate the remainder when 141 is divided by p(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 + 2 - 261\/29 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 5*p)*(1 - 1 - 1) + 141*p - 1107 + 1107 in the form x + j*p and give j.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 49*u**2 + 15 - 9 + 0*u**4 - 2*u**4 - 4*u + 2*u**3 + 0*u in the form p*u**4 + r*u**2 + z*u + j + t*u**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14007 by -203.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -9, -19, -29, -39, -49?\n\"Answer: -10*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-19\/4)*z\/(z**(-3\/8)*z)*z**(-1\/3)*((z*(z\/z**9)\/z*z)\/z**(-3))**26 assuming z is positive.\nAnswer: z**(-5047\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvcyhvhhrvrvrcyyvh. What is prob of picking 2 v, 1 r, and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-16)*(-2)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1485087?\nAnswer: 3, 23, 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - -1)*36\/7. Suppose -a - z = -3*a. What is the remainder when 34 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**2*s**2 + 315*l**2*s - 98*s**4 wrt s.\nAnswer: 2*l**2 - 1176*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, 420 in increasing order.\nAnswer: 4, 15, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojgvgg. Give prob of picking 1 j and 2 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6955958 is divided by 440.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 737 + -736.533. Let k = 3.467 - h. Sort -26, k, 4 in decreasing order.\nAnswer: 4, k, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 + 7*h + 18. Let o be q(-2). Let p = -6 + 4. Sort 2, o, p in descending order.\nAnswer: o, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 34. Let s = 14 + c. Let w = -1 + 2. Is w less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.476181.\nAnswer: -2.380905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2080 and -18 + (-37)\/((-555)\/3390)?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.148 + -0.052. Let q = 1.779 + -0.779. What is the biggest value in -25, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 1067 = -83*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let l(p) be the second derivative of -1\/2*p**3 + 0 - 59*p - 25\/2*p**2. Give l(v(s)).\nAnswer: 6*s - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = a. Factor 5*n**2 + 38*n - a*n**2 - 36*n.\nAnswer: 2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*h + 2*q - 35, 3*h - 3*q = 3. What is the remainder when 3 is divided by (1\/(-3))\/(h\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -22*k**2 + 12*k + 44\/3*k**3 - k**4 - 8\/5*k**5 - 9. Find h such that p(h) = 0.\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15275.96198 rounded to the nearest ten?\nAnswer: -15280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000440993726 rounded to 6 decimal places?\nAnswer: 0.000441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o + 1. Let d(x) = -60*x**3 - 5*x**2 - 3*x - 70. Let z(b) = -3*c(b) - d(b). Find the third derivative of z(q) wrt q.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = 12. Let p = t - -10. Suppose -4*z + 7*z = 2*q - 9, p*q - 5*z = 20. Is 4 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w*w*w**(-3)\/w)\/w)))**26\/(w**(-7)\/((w*w**(-19)\/w)\/w)))**(-3\/23) assuming w is positive.\nAnswer: w**(273\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -32223?\nAnswer: 32233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:14 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114203897 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 12*p - 4. Give v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 10 (b) 0.1 (c) 1\/2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175047 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034211 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 5. Give z(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 30 = 4*m, 5*k - 23 + 28 = -19*m + 23*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3534\/(-156085))\/((-3)\/53)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -6. Let g be (-52)\/(-14) - (-2)\/7. List the prime factors of (z\/g)\/((-6)\/(-24)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Suppose 0 = -462*f + 465*f - 0 - 12. Let r(n) be the second derivative of 19*n + 0*n**3 + 0*n**2 + 3\/4*n**f + 0. What is s(r(m))?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Calculate prob of picking 1 r and 3 v when four letters picked without replacement from {v: 3, i: 4, o: 1, q: 2, j: 7, r: 1}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 3*s - 45. Calculate q(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 5 = 3*n + 5*i, -3*n - 2*i = -17. Let m = -5 - -11. Suppose -n - 23 = -m*r. Solve -3*o + 0*o = -3*z + 6, -r*z + o = -6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 290242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (13 - 19) + (2 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 402 and 522600.\nAnswer: 522600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1935 - 13830?\nAnswer: -11895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, d: 7}. Give prob of picking 2 k and 2 d.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9430.\nAnswer: 2, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12205 + 24213 + 2*w - 12014.\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209719 = 14*n - 15051. List the prime factors of n.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-7) + 167156\/693. Let u = 241 - t. Let j be 1\/4*(-3 - -7). What is the nearest to -2 in -2, u, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**2 + 0 - 5*n**3 + 0*n**5 - 17\/15*n**6 - 7*n + 0*n**4. Find the second derivative of x(f) wrt f.\nAnswer: -408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - -7) - (-100 + (67 - 24))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 23*d**3\/3 - 13*d**2\/2 + 1060. Let g(x) = 11*x**2 - 6*x. Calculate 13*g(m) - 6*o(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -833 - -358. Let n = 473 + x. Let k = 0 - 0. Put n, k, 0.08, 4 in ascending order.\nAnswer: n, k, 0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416 and 507.\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/1)\/(80\/(-8)))\/((-1302)\/(-1085))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 68, 0.53, -11, 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -92, -149, -228, -329, -452?\n\"Answer: -11*n**2 - 2*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41867 - -41711. Sort -5, f, 0.4.\nAnswer: f, -5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -64*s - 2. Give j(-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 13*i - 7. Let n be f(10). Suppose 3*r = -4*q - 2659, r - 4*q + n + 674 = 0. What are the prime factors of r\/(-42) + (-1)\/6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -52 (b) 0.03 (c) -1\/6 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6788656?\nAnswer: 2, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*f = 431*f - 1406. Sort -4, 3, 5, f, 13 in descending order.\nAnswer: f, 13, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*v + 1 + 1, 5*v - 2 = 4*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v + 3*v + 143*v**2 - 3*v + 13*v + 792 + 3886 wrt v?\nAnswer: 286*v + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-4))\/(1\/44). Let z = g + -53. Solve 0 = 3*o + z + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1228*z - 2669. What is the ten thousands digit of c(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*j - 530, 0*j - 268 = 2*r + 3*j. Let w = 131 + r. Which is bigger: w or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciiciiccic. What is prob of picking 1 c and 3 i?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12) + (12265\/(-924) + 10 - -3)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**2 - l**2 - 3*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19229 is divided by 189?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/3 (b) 5 (c) 3022 (d) -38.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42278361469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-1)\/l)))\/(l\/(l\/l**(-9))))\/(l\/(l*l*l**(-3\/23))*l)**(8\/15) assuming l is positive.\nAnswer: l**(797\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 97539.\nAnswer: 97539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101110011 (base 2) to base 7\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 66.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 11 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.3 - -0.3. Let i = -11.2 - u. Which is the closest to -1\/3? (a) 0.2 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377 and 507.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5474*p - 52 - 5210*p + 52.\nAnswer: 264*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w. Let f be w\/(4 + 0) - 0. Suppose -4*v - b + 15 = -0*b, 3*v + 5*b - 24 = f. Solve -4*t - 2*m + 28 = m, v*t - 32 = -5*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/3 + s**3\/2 + 3*s**2\/2 - 2*s - 25. Let i(q) = 4*q**2 + 2*q + 2. Give -3*i(z) + 2*r(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24731, -49472, -74189, -98882, -123551, -148196?\n\"Answer: 12*z**2 - 24777*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4598509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -340, -1384, -3416, -6766, -11764, -18740?\nAnswer: -28024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -1 + 7 + 3. Let j = 23 - f. Solve 2*p = 4*d - 2, 0*p = -3*d - p - j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1075118, 1075092, 1075064, 1075034, 1075002, 1074968, 1074932?\nAnswer: 1074894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0858629089 to four decimal places.\nAnswer: 0.0859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -86*d**3 - 45*d**2 - 31*d + 15. Determine m(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 - v**2)*((-2*v + v + 3*v)*(2 + 5 - 1) + 29*v + 27*v - 14*v) + (v**3 + 0*v**3 + 0*v**3)*(1 - 1 + 1).\nAnswer: -53*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -8.8. Let k = a - -14.17. Let r be 6\/(-16)*2\/(-3). Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 1296?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -74. Suppose -4*o + 3740004 = -x, 3*x - o = -p*o - 11219998. Round x to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8db (base 15) to base 4.\nAnswer: -133112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 44 + 101. Suppose v*o - 15 = 34*o. Is o != -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/60 + f**4\/24 - f**3\/3 - 2*f**2. Let x be 225\/(-3)*(-3)\/9. Suppose 9 = 17*w - x. What is y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.09, -5, -4 in increasing order.\nAnswer: -5, -4, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from rrmrmbmrddwdmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5790476 is divided by 1380.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 42 = -28*v. Let s(x) = 4*x**2 + 3*x. Determine s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ee (base 16) in base 5?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3540 (b) 3\/19 (c) 0 (d) 0.1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*r**2*z**6 + 4*r**2 - 25*r*z**2 + z**3 wrt z.\nAnswer: -720*r**2*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14) + 145\/31668*-20\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215055 is divided by 195?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/((p\/p**0)\/p))\/p)*p)\/p*p**(2\/17)*p*(p\/(p\/(p\/p**(2\/5))*p))**(-1\/8) assuming p is positive.\nAnswer: p**(737\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 9560921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1728599, -1728492, -1728381, -1728266, -1728147, -1728024, -1727897?\n\"Answer: 2*m**2 + 101*m - 1728702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 - 7*y**2 + 5*y + 3. Let j(u) = u**3 + u**2 - u - 1. Let w(x) = x - 9. Let t be w(10). Determine t*k(z) + 5*j(z).\nAnswer: z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1080 and 10380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 1. Let o(h) = 2*h**2 - 1. Let u(r) = -4*o(r) + 3*z(r). Let c(j) be the first derivative of -2*j**2 - 10521. Calculate c(u(d)).\nAnswer: 20*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -30, -66, -116, -180, -258, -350?\n\"Answer: -7*k**2 - k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.43 - -3.73. What is the closest to 0.1 in 0.5, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y - 4958 = -95*y + 56*y + 4717 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - 58. Solve -3*w + 2*s = s + t, 0 = -2*w + 2*s - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -7*w**3\/6 - 3*w**2\/2 + 18*w. Let x(b) = 20*b + 8. What is -3*x(l) - 8*z(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11393\/4 - 2793. Let r = w + -55. Let f be 4\/(19\/(-3) - 74\/222). What is the third biggest value in r, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.14 - 1.96. Let y = h + 14.1. Which is the second biggest value? (a) -5 (b) -6\/7 (c) y (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:22 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + b - 1. Let t(x) = -115*x**3 - 8*x**2 + 3*x - 8. Calculate -3*j(f) + t(f).\nAnswer: -115*f**3 - 2*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 3*n**5 - 3*n**5 + (5*n - 5*n + 2*n**4)*(1 + n - 1) + (9*n + 34*n - 16*n)*(-5*n**3 - 2*n**4 + 5*n**3) + 2*n**5 - 2*n**5 - 3*n**5.\nAnswer: -56*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/2)\/(6\/(-8)). Is y\/9 + (-883)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 803 - 809. Let h = -1.95 + -0.05. Which is the third biggest value? (a) -3\/4 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + ((-4*sqrt(512))**2 - sqrt(32)) + sqrt(32) + sqrt(32) - ((2*sqrt(352) - sqrt(352))\/sqrt(11) + sqrt(32))**2) + 2*(-2 + sqrt(242))**2 + 2.\nAnswer: -80*sqrt(2) + 8558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.6, -2, 0, -5\/4, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 7151536.\nAnswer: 92969968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 15*i + 13. Let h be -10*1\/(-2)*2. Is 18 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - (-196)\/12. What is the first derivative of -20*d + g + 13*d + 12*d wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -168*s + 178*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76 - -49) + 35 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28291 times -1.21\nAnswer: 34232.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -5*m**9\/504 - m**5\/10 + 5*m**2. What is the third derivative of k(x) wrt x?\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141666161*x + 159250225?\nAnswer: 141666161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 207.347 and -0.02.\nAnswer: 207.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 8643424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/((y\/y**3)\/y))\/(y**7*y**(-3)\/y))\/(y**1\/(y\/y**(-2\/11))*y**(-1)\/((y\/y**(1\/5))\/y)) assuming y is positive.\nAnswer: y**(-221\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.63 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 5*y, -3*a + 3 = 5*y - 12. Which is bigger: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66.66793295 + -11.76.\nAnswer: 54.90793295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgfffseyffffwywf. Give prob of sequence ew.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17860, -17866, -17884, -17920, -17980?\n\"Answer: -m**3 + m - 17860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 6533187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017425451 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let u(c) = 278462*c**2. Give k(u(v)).\nAnswer: -77541085444*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h, -3*h = -0*b + 5*b. Suppose 0 = -b*w + 2*w + 6. Let a = -2427\/4 + 606. Sort w, a, -0.1 in descending order.\nAnswer: -0.1, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 0) + 15 + -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*z = -126*z + 72792. Calculate the remainder when z\/(-126) + (-4)\/14 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -945.86\nAnswer: -945.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 14. Let l(a) = -a**3 + 6*a**2 + 19*a - 80. Let o be l(7). Suppose -x + 27 = o*k. Is 4 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*x - 9*x. Suppose -x*p = -4*p + 4. Suppose 5*a = p*a + 30. Calculate the smallest common multiple of a and 29.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 18 = -u, 3*c = 5*u + 2 - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3904 + 3895. Which is the fourth smallest value? (a) 0.3 (b) w (c) -1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1403 - -2132. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 192. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6.59 and 0.018 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*y - 24, -2*y + 3*s = -3*y - 18. Let h = 8 - 8.3. Put 1, 0.1, h, y in decreasing order.\nAnswer: 1, 0.1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 3*s**4\/8 + 71*s**3\/6 + s**2 - 662*s. Determine x(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 3 = -2*j - 5*m, 10*j - 4*m - 44 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 4 (c) -1\/81 (d) -0.1 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/3105 and -71\/22037565.\nAnswer: 198338085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30996.84 - 29606. Round l to the nearest ten.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 49*w**2 + 92*w + 1637. Calculate d(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -40, 2\/5 in increasing order.\nAnswer: -40, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-20) - 7857\/(-12). Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -20*f - 47. Give b(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 9*w + 8. Let m(k) = 3*k**2 - 27*k - 23. Let p(l) = 6*m(l) + 17*n(l). What is p(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -67, -100, -133, -166?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -527 + 4297\/8. Calculate the common denominator of l and 47\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 at least 22614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 13. Let j(x) = -2*x**2 + 2*x - 1. Suppose -5*z - d + 5 = -5, -15 = -3*d. Let h be j(z). What is the nearest to 0 in v, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.6 rounded to 0 dps?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 + c**3 + 151 - 67 to h*c**2 + v*c**3 + u*c + a and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25843.1469 from -35719.\nAnswer: -61562.1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4662 - 4662. Solve d = -35*b + 25 + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, c: 5, l: 2}. Give prob of sequence ly.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 567 = 15*j. Is -2\/3 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 + w**2)*(9662*w + 4 - 1 - 9664*w) as a*w**3 + u*w**2 + c*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/(-5) - ((-8)\/(-20))\/(-1). Let m = l - -8. Let n be (5 - 3) + (m + 2 - -8). Solve -x - n = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -771593 - 18.\nAnswer: -771611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 418*i = -5628 + 3896, -16 = -4*i for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.435377317 + 0.2.\nAnswer: 0.635377317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (7 - (-11 + 34 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -108 + 39 + 41 + 47*z + 34 - 2*z**2 in the form b*z + y + u*z**2 and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:15 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*j**2 - 75*j + 3 wrt j.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352 divided by -84?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3283.3\nAnswer: 3283.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4668 and 11670?\nAnswer: 23340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778*g**2 - 2883*g**2 - 871*g**2 + 35*g.\nAnswer: -2976*g**2 + 35*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*u + 15159 + 42878, 0 = 3*u - 3*g - 34839. What is the greatest common divisor of u and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r - 53*r - 45*r - 50*r + 151*r - 25*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2*w + w**4 + (w + 4*w + 15*w)*(2*w**3 - 2*w**2 + 2*w**2) + (3*w**3 - 5*w**3 + 0*w**3)*(0*w + w - 3*w).\nAnswer: 45*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115405740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 3*u)*(-2*u**2 - 5*u**2 + 3*u**2).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -161, -363, -657, -1049, -1545, -2151, -2873?\n\"Answer: -s**3 - 37*s**2 + 2*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 7)*(-13 - 77*40\/(-420))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121.6 in -0.5, -4, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022865458?\nAnswer: 2, 41, 12473969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = -15. Suppose -u*i + 4*n = -22, -6*i + 3*i + 28 = -n. Let m = -11 - -17. What is the least common multiple of i and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-2 - (10 + -1)). Let a = -7 - s. Suppose -605 = -4*z - 5*i, 0*z - z + 120 = -a*i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m - 15*m - 1 + 1 + 6*m. Let c(q) be the third derivative of 9*q**5\/10 + 35*q**2. Calculate j(c(i)).\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, 58 in decreasing order.\nAnswer: 58, 4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Suppose -10*q = 5 - 225. Let j(k) = 57 - 35 - q + 151*k. Give j(x(u)).\nAnswer: 302*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*d + 128*d = -175 - 113 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56821, -113641, -170461, -227281, -284101?\nAnswer: -340921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**6\/10 - 1344*b**5\/25 + 2034*b**4\/5 - 1088*b**3 + 5448*b**2\/5 + 5246. Let l(x) = 0. What is x?\nAnswer: -454, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let x(y) = 2717551*y. Give x(s(a)).\nAnswer: 5435102*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*g**2*m*q*r - 11*g**2*m + 1647*g**2*r**2 + 2*g*m*q*r**2 + 3*g*m*q - 39*g*m*r**2 + 2*m*q*r + q + 83 wrt g?\nAnswer: 16*m*q*r - 22*m + 3294*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/60 + 41\/60. Let f(w) = w**2 + 8*w + 12. Let v be f(-6). Which is the nearest to x? (a) -0.5 (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12*2*-136*20\/(-510)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-1 - 2*y + 1) - 5 + 35*y + 4 - 168*y.\nAnswer: -129*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Let c be u(3). Let n be c\/21 + (-466)\/14. Let h = 53 + n. What is the smallest common multiple of 18 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1100)*1 + 2)**2.\nAnswer: 200*sqrt(11) + 5520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71897310.\nAnswer: 2, 3, 5, 23, 47, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2*m. Suppose 3*t + m = 4*q + 1, 0 = q - 2*t + 4. Solve 0*z = 4*u - z + 4, -16 = -2*u - q*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -u + 15, -4*k = -3*k - u - 5. Suppose -2*l + 84 = -3*p + 5, -4*p = l - 12. Solve -k*s + l = 3*r, -2*s + 1 + 3 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 2*j = 36. Suppose -3*b - j = -2*h, h = b - 3*b - 4. What are the prime factors of ((-20)\/(-25))\/(b\/(-15))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/952 and 69\/20?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (1 - 1)) + -5. Suppose -c - 2 = -5*z - 7, -3*c - 21 = 3*z. Let h = -2 + z. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1323273*j + 5293089. Calculate t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:12 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b - 49791 - 20917 = 0. Are 1 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4200\/175)\/(2*-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43221, -86458, -129695?\nAnswer: -172932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 2. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpm when three letters picked without replacement from {p: 2, f: 6, m: 10}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/4)*j**(4\/3))\/(j\/j**(-2\/7))**(-22))\/(j**7\/(j**(-4)\/j)*(j*j**(-2)*j)**47) assuming j is positive.\nAnswer: j**(1543\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2873 + 996930\/347. Let w = n - 1731\/1388. Let l = -25 + 29. Which is the third biggest value? (a) 2\/3 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336.5 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 times 5?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 50\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 465746 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(9\/4)*p**4*(p\/(p*p**(2\/13)\/p*p*p)*p)\/p assuming p is positive.\nAnswer: p**(187\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 22. Let z be a(-24). Suppose 9*s - 2*r = 7*s + z, -2*s - 3*r = -26. Calculate the remainder when 38 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*t + 14 = -317*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(63)*-4)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138676.\nAnswer: 2, 7, 11, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -792a - -3?\nAnswer: -7927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133103 (base 5) to base 8.\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 - 50*g**4 - 108*g**3 = 0.\nAnswer: -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5))**(-4\/17) assuming z is positive.\nAnswer: z**(-12\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3224*n - 30*n**2 - 3171*n + 104*n**3 + 123*n**3 + 2. What is the hundreds digit of x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 85*u + 12*u**2 - 56*u - 4*u - 61*u.\nAnswer: 3*u*(u - 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b**2 + 248*b - 794. Give q(20).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1018349290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 715847\/18180 + -4074\/101. Find the common denominator of a and 97\/600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 r when four letters picked without replacement from eccpqqeeqpqqqpwrqqer?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = 5*m. Is 5 a factor of (1 + m)*(-15)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -521, 1\/12, -2\/3, -0.25, -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*i**2*n + 5*i**2*u**4 - i**2 - 10*i*n*u**3 - 2*u wrt u.\nAnswer: 20*i**2*u**3 - 30*i*n*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r - 151*r = 10 - 610 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4412.108 + 4405. Round g to 1 dp.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 - -64. Let d be 188\/c - (-2)\/15. Let k be (-33)\/(d*3\/27). Calculate the greatest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1200))\/sqrt(6).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 50 = -5*m, -74 - 1 = -5*m + 4*h. What is the remainder when m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/(495\/(-10)) + (-971)\/(-198) and (-2)\/8 - (-198)\/(-16)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1496 - 1496.1. Which is the nearest to r? (a) -0.5 (b) 0 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 311*y**5 + 142*y**2 + y wrt y?\nAnswer: 18660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 22 = 3*n. Let x be (18\/12)\/(n\/(-44)). Suppose x + 9 = 4*c. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/(-30)*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + 0.8. Let t = 7 - j. Let m be 1*3*4\/66. Which is the closest to -0.1? (a) m (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 - 4 - 1 + 2*z**2 + z**2 - z to v*z + s + l*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3\/3 - 44896*v**2\/3 - 163397696*v\/3 - 194250619904\/3 = 0. Calculate v.\nAnswer: -4976, -3124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. What is the units digit of v - (1 - 12)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g + 148. Determine h(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6*c + 5*r + 523459, 5*c + 2617165 = r. Let i = -293434 - c. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 0*s**4 - s**3 + 0*s**2 + 0*s + 3\/7*s**7 + 0*s**6 + 0*s**5 + 5. What is the third derivative of q(i) wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, 3, -16, 0.1?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 110 - 98*b + 95*b)*(2 - 3 + 0)*(-4 + 3 + 2) in the form q + f*b and give q.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 + 22*h + h**2 - 24*h**2 + 16*h**2 + 16*h**2 as u*h + t*h**2 + n and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6 - 7 + 7 - 285*r - 1. Is v(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(3*g**4 - 2*g**5 - 3*g**4) + (-39*g - 29*g + 19*g)*(0*g**4 - g**4 + 0*g**4).\nAnswer: 51*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/60)\/(2\/(-90490))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/4797 and -95\/1008.\nAnswer: 537264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 2*g. Factor 2*y**g - 4*y**2 + 5*y**2 - 3*y**4 + 0*y**2.\nAnswer: -3*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - s**2 + 7*s - 1. Let a(x) = 123*x**3 + 4*x**2 + 224*x + 5. Let j(z) = a(z) + 5*u(z). What is the second derivative of j(d) wrt d?\nAnswer: 678*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1630, -5950, -13040, -22906, -35554, -50990?\nAnswer: -69220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -6 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(35))\/(sqrt(112)*-2 - sqrt(112)))**2 + 3*(sqrt(55) + sqrt(550)\/(sqrt(40)\/sqrt(4)))\/(1*sqrt(11)*1).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21750 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -32297000 to the nearest 100000.\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 30?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13886 + -12482. Calculate the highest common factor of 24 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*0.002843.\nAnswer: -0.00011372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28715247 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352518 is divided by 117453.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12982*i**2 - 11*i**3 - 2*i**4 + 6483*i**2 - 2 + 8*i + 6492*i**2 as c*i**4 + l*i**2 + m*i + o*i**3 + v and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001220 - -21?\nAnswer: 1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omoommmw. What is prob of sequence momw?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(6\/5))\/p)\/((p*(((p\/p**(-19\/6))\/p)\/p)\/p*p)\/p)*(p*p\/p**(-8)*p*p)\/(p*p**46*p))**(-1\/17) assuming p is positive.\nAnswer: p**(1079\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 + -165. Calculate the remainder when (-2984)\/(-44) - 2\/(-11) is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 440?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1031113020231?\nAnswer: 1031113020300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let t = 581 + -572. Suppose -t + 19 = j*r. Solve -3*f + 20 - 6 = 2*l, -r*l - 2*f + 13 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -98, -535, -1650, -3761, -7186?\n\"Answer: -53*u**3 - 21*u**2 - 3*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 29133.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -936*p**5 + 549*p**2 + 24131199*p.\nAnswer: -18720*p**3 + 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 349*w**2 + 81*w wrt w?\nAnswer: 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -8, -13, -18, -23?\n\"Answer: -5*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*i + 202 - 802. Suppose 2*y = 8 + 2. Solve 0 = -5*s + i, y*m = m - s - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 - -32. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - d - 137, y - 4*d = -2*d + 43. Calculate the remainder when y is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -2. Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00130103092 to 5 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 9*t**2 + 24*t - 10. What is the remainder when 69 is divided by r(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 1072*q**3 - 90808*q**2 - 2543856*q - 22524516.\nAnswer: -4*(q + 21)**2*(q + 113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141193 to 4 decimal places.\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 30 = -m + 5, 3*o = 3*m - 57. Is -15 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/5 + 2298*p**2\/5 - 460*p = 0 for p.\nAnswer: -1150, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18859 = -4*v - 82605, 2*l + 5*v = 50725. List the prime factors of l.\nAnswer: 3, 5, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166158399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 8.46?\nAnswer: -8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-75))\/((-2)\/(-3)))\/(55\/(-12925)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52*456\/(-6422)*13.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -2, -175, 12.\nAnswer: -175, -4, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**17)**12\/((m**(1\/4)*m*(m\/(m**5*m))\/m)\/(((m*m**(1\/9)*m)\/m)\/m**(-6))) assuming m is positive.\nAnswer: m**(7771\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d - 6*d + 4 + 3*d wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*h + 177920 = 174262 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.04 + 8. Let o = t - 5.96. Let y be ((-1998)\/12)\/37 + 4. What is the nearest to 2\/5 in -1, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 4*j**2 + 1447 - 1447.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -4*j + 17*v - 39, 5*j - 5*v - 90 = 98 - 223 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(77)*-1)\/(sqrt(56)\/(sqrt(200) + sqrt(200)*1)).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.4, -2\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-16 - -10 - -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942273.\nAnswer: 3, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4\/9))\/n)\/(n\/(n*n**(-16)\/n*n*n)) assuming n is positive.\nAnswer: n**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m. Let r be (15\/(-9))\/((-7)\/21). Suppose 2*t - 2 = 8. Suppose t*q - r = -35. Determine y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c + 19*c - 40*c to the form d*c + a and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/12 + 591*w**2\/2 + 18*w + 20. Let o(r) = 3*r**2. Calculate o(g(v)).\nAnswer: 3*v**4 + 3546*v**2 + 1047843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 39. Let d = s - 19. Let j = 29 + -9. What is the least common multiple of j and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260857528 and 1459?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 369 and -139.\nAnswer: -51291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191458*c*x**4 + 184*c*x + c - 9*x**5 + 4*x + 1 wrt x.\nAnswer: 2297496*c*x**2 - 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -489, -734?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 114*f - 1457, -164*p + 85*p = -84*p + 4*f - 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4247*w**4 - 40*w**2?\nAnswer: -101928*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043300 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27226 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k**3 - 7*k + 44*k**2 + 0*k - 36*k**2 + 44*k**3 = 0 for k.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(847) + -2))**2*-6 + (-5*(sqrt(49)\/sqrt(7) - sqrt(7)) - sqrt(189)\/sqrt(3)).\nAnswer: -183816 + 9501*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1295 and 1480?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9078 + 14483. List the prime factors of t.\nAnswer: 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*f + 561 = -73*f. Calculate the greatest common divisor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*x + 5249 = 227*x + 4*z, -2*z = -12. Calculate the lowest common multiple of x and 418.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1081 + -974.6. Round h to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/25)\/((117\/30)\/(-13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*j + 21*j**2 - 21*j**2 + 4*j**3 + 8*j**2 - 26*j**2 + 9910 + 84*j wrt j?\nAnswer: 12*j**2 - 36*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455*n + 27480 = -440*n. List the prime factors of n.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.69 + -6.89. Let h = -4.7 - o. What is h rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 + 6\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 41363?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-12))\/((-30)\/(-40)). Solve 1 = -o + 5*q - 1, k = -o - 2*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from mpmmimiapjvjvai.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 5.7, 1\/2, -70, -1366?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -o + 21. Let b(a) = -3*a - 10. Let u be b(o). Let c = u - -3. Sort -4, -10, c.\nAnswer: -10, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006486749 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -6*m + 138. Let f = m + 70. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 - -333.6. Put -1, g, 0.4, -6\/55 in descending order.\nAnswer: 0.4, -6\/55, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12729 + 13093. Calculate the least common multiple of c and 7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4db - 2cca9?\nAnswer: -2c7ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672520 plus -0.059264?\nAnswer: -2672520.059264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -32. Does 9 divide (u\/8)\/(4\/(-176))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188 - -369. Let c = 12.9118 - 194.1328. Let u = h + c. Round u to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:52 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.238 and -14.8.\nAnswer: -47.9224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-11)\/55)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2. Let z be (2\/2 - -2) + 0. Let l(w) = -1 - 1241*w**2 + 581*w**2 + 663*w**2. Give z*l(x) + 2*j(x).\nAnswer: x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 + 12596*h - 19832402 = 0?\nAnswer: 3149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72497.\nAnswer: 72497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*(-1 + sqrt(684)*5 + 2 + 5 + -2*sqrt(684)*6))**2.\nAnswer: -7392*sqrt(19) + 536740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2987272851 rounded to 3 decimal places?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, p: 4, i: 11}. Give prob of sequence ciip.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-25))\/((-34)\/(-10) - 3). Let y be (-7)\/(-49)*7\/2. Which is the closest to l? (a) y (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198813 = 198800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 - 23*x + 1. Let q(r) = -7*r**2 - 35*r + 2. Let b(z) = 3*f(z) - 2*q(z). Let v(u) = -7*u**3 + 6*u**2 - 4*u + 4. Calculate 4*b(h) + v(h).\nAnswer: -7*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let p(x) = 988*x**2. What is q(p(o))?\nAnswer: -1952288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*d - 3566 = -269*d + 930 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 28*c = -1 + 2 + 5, 224 = -12*h - 2*c for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + z + 4*z + 5*z + 7*z - 7*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -9. Let y(l) = -5*l**3 + 5*l**2 + l. Let x(u) = -14*u**3 + 14*u**2 + 4*u. Let o(c) = w*x(c) + 8*y(c). Factor o(s).\nAnswer: 2*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (1 + (-33 - -24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - 4\/144*-10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235680781?\nAnswer: 251, 4923031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (4 + 4 + (-8 + 9 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 301 and 6?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51341 - -4004?\nAnswer: -43333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 3*u**2 - 6*u**2 - u. Calculate g(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -47*q + 3. Let m(c) = -1364*c + 88. Calculate -3*m(s) + 88*r(s).\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6654406 (base 9) in base 12?\nAnswer: -1247213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 2, 5.\nAnswer: 2, 5, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -190, -669, -1608, -3163, -5490, -8745, -13084?\n\"Answer: -26*n**3 + 4*n**2 - 5*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 10. Let j(r) be the first derivative of 2*r - 1. Calculate -2*a(n) - 10*j(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598254.\nAnswer: 2, 7, 114161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(133) - (2*sqrt(133)*6 - sqrt(133)))\/(-1*sqrt(700))*3)**2*5.\nAnswer: 21375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/126 and (4 - -1)\/1 - 7700\/4312?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 2*o**2 - 5*o - 16. Let h be y(-3). Let u(f) = 98*f. Let v(l) = l. What is h*v(c) - u(c)?\nAnswer: -63*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -343.9 + 67.9. Let v = 275.7 + s. What is the third smallest value in v, 3, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*g - 19, -g = 3*g + t - 17. Suppose g*r = -1430 - 850. What is r rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, u: 11}. Give prob of picking 2 u.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 + 10?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4\/13*o**2 - 2\/13*o**4 + 6\/13*o**3 + 0 + 0*o = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77644*a - 3375?\nAnswer: -77644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/522 and -113\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/12 + 2*v. Let b(j) be the third derivative of -j**5\/12 + j**2. Give b(n(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:01 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n + 0*n**3 + 17*n**2 + 93 + 57\/4*n**4. Find the second derivative of o(u) wrt u.\nAnswer: 342*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467918 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1272939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(45)\/sqrt(9))*-3 + 3)**2 + (-3*sqrt(500) + -2)**2.\nAnswer: 84*sqrt(5) + 4693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 24786 + 24786. Let s(q) = -1150*q**2. What is s(l(m))?\nAnswer: -18400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 12*j**2 - 11*j - 4. Give a(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.18 and 91247\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*r - 9 = -26, -5 = 5*r. Suppose -o = b - 16. Solve q - j + 4 = 0, -2*q + 4*j - b = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5, f: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100.999652 - 101. Round q to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.207, -0.367, -28, 1\/8 in descending order.\nAnswer: 1\/8, -0.207, -0.367, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35 + -31 + -1 + 278. Suppose 5*m - 209 = k. Calculate the remainder when m is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -27*s**2 + 165*s + 49. Let l be h(6). Is l != -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-189)\/14))\/((-12)\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -519 - 511. What is the remainder when 10\/60 + r\/(-12) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113995 = 115*w - 508845. What are the prime factors of w?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o, 2*t - o = 5*t - 1389. Is 66 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 4, 6, -8287 in descending order.\nAnswer: 6, 4, 1, 0, -5, -8287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(32)\/(sqrt(32)\/sqrt(4)))\/(sqrt(32)*-2)*2*1.\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 12.04. Let n = 9.2 - -2.8. Let z = t - n. Put -0.1, -5, z in increasing order.\nAnswer: -5, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*l - 50 = g, -5*l = g - 22. What is the smallest common multiple of g and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 185 = -5*q. Let v(k) = 20*k**2 - 154*k - 38. What is the smallest common multiple of q and v(8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -19, -83, -173?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 14) in base 7?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130666.045 rounded to the nearest 10?\nAnswer: 130670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3649*j - j**3 + 1824*j + 1821*j - 23 - 10*j**2. Let v be s(-10). What is the highest common factor of v and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134483, 537913, 1210295, 2151635, 3361939, 4841213?\n\"Answer: p**3 + 134470*p**2 + 13*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, -2, -8 in decreasing order.\nAnswer: -2, -8, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*w = -19, -v + 0*v - 10 = -5*w. Let g = v - -48. Solve -g = 5*n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87001741 divided by 4579039.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwtwjwtjwwiwwjiiwwj. Give prob of sequence jj.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:50 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*d**4 + 107*d**4 + 79*d**4 + (-4*d - d + 6*d)*(-13*d**3 - d**3 + 5*d**3) to the form n*d + g*d**4 + a*d**3 + l*d**2 + q and give g.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h - 80 + 53 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*s**2 - 1899*s - 66 + 1897*s + 66.\nAnswer: 392*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96472 smaller than 385885\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111022 (base 3) to base 10\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263469*h + 20112 = -262631*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 - 6 - 2 - p + 2*p**2. Suppose d - z = 5, 75*z + 20 = -4*d + 74*z. Is r(d) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 61148439*n - n**2 - 2*n**2 + 61148439*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2258655, -2258658, -2258661, -2258664?\n\"Answer: -3*p - 2258652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 4*p**2 - 2*p**2)*(4*p**3 - 10*p**3 + 18*p**3).\nAnswer: 36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-780)\/150 + (-6989)\/(-145) + -31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35c (base 14) to base 9.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 12*j**2 + 224*j + 2530. What is z(-12)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-3 - -8) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*d + 23, -4*f = 168*d - 169*d + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from dccdcdccdddd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 11*q = -45. Which is the nearest to -1\/4? (a) q (b) -2\/3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828412113?\nAnswer: 2828412113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2256311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 153*v**2 + 145*v**2 + 289*v - 299*v**2 as t*v**2 + k + f*v and give f.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1000011101010?\nAnswer: -1000011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 241.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 246 or 10078\/41?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30605 or 30767?\nAnswer: 30767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3))\/sqrt(11) - (1 + sqrt(108)).\nAnswer: -5*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14*m**4 + 8*m**3 + 23*m**2. Let r(b) = 9*b**4 - 5*b**3 - 15*b**2. Let z(t) = -5*g(t) - 8*r(t). Find the third derivative of z(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*o + 51 = -f, -2*f = -o - 20. Let j be (-15)\/(-2)*6\/f. Solve -4*g - j*m = -2*g + 9, -12 = -g + 3*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84675.87 years to centuries.\nAnswer: 846.7587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4984 - -4984.00003769. What is n rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007515011 rounded to 6 decimal places?\nAnswer: 0.000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 - 228356*s**2 + 54112928*s - 107312400 = 0. Calculate s.\nAnswer: -57325, 2, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5193 = 353*i + 14627 + 4686 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 652 - 599 = 5*m, 0 = -4*m + 5*b - 1009. Let q = m - 361. Let g = -436 - q. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 19, w: 1}. What is prob of picking 3 l?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*z + 4*z. Let t be (2 + z)\/((-33)\/1001). Calculate the remainder when 33 is divided by 651\/t + (-2)\/13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3, 0, 1 in decreasing order.\nAnswer: 1, 0, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 - r + 7. Let u be l(6). Let k(v) = 13*v - 1. Let h(t) = 12*t - 1. Let g(n) = -2*h(n) + 3*k(n). Does 11 divide g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*z = 155*z + 930 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1544*x**2. Let g(s) = 65*s. What is t(g(n))?\nAnswer: 6523400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 10*u + 4 - 9*u - 2*u + u**2 + u**3. Let v = -11 - -6. What is the remainder when 17 is divided by g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55*51\nAnswer: -2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Suppose -5*l + 2*y = -64, 5*l + 2*y + o = 60. Suppose 2*p = 4*p + 2*v + 4, -4*p = 5*v + l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273259.\nAnswer: 7, 103, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11277, 1, -2\/11, 2266?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -3 + (9 - 10) - 0\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 - 3*k - 11. Let r be c(-5). Find the first derivative of -24 + 14*b**r + 3916*b**2 - 3916*b**2 wrt b.\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31361 by -11.\nAnswer: -2851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (9 - 11) + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14449, 28917, 43393, 57877, 72369?\nAnswer: 86869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 398, 595, 792?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 313*p - 302*p + 606*p + 394, 4*m + p - 26 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-5) + (-5)\/25. Put 0, 3, o in increasing order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*(-1)\/(3\/9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11710199 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*p - 10 = 68*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 11*k**2 - 2*k + 8. Calculate l(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 178525655101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 14. Put -5, b, -0.2 in decreasing order.\nAnswer: b, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9) + (-682)\/(-1953).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171563 is divided by 3989.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20221*m + 467*m**5 + 9700*m + 10011*m wrt m.\nAnswer: 9340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4037437 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n + 3. Let d(o) = -214617*o. Calculate z(d(y)).\nAnswer: 1716936*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5348 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82 - 910 + 123 - 1583*v**3 + 4624*v**3 - 1092 with respect to v.\nAnswer: 9123*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 254*o**2 - 258*o + 259. Give q(128).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*x**2 - 105.\nAnswer: -70*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - v = -2*v - 42, a - v = -8. Let o = -11 - a. Let b(i) = -2*i**3 + i**2. Give b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -1\/5, 1, 3.\nAnswer: -0.8, -1\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2307 - -2310. Let f(p) = 7*p**2 - 2. Determine f(q).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (16 - 10) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 3*h**2 + 9*h + 6 + 2*h**2. Suppose -4*i + 71 = 4*l - 57, -l + i + 42 = 0. Calculate the remainder when l is divided by t(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -35*w + 3794. What is h(114)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8682\/29 or -0.0865?\nAnswer: -8682\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/6)*w\/w**(1\/3))\/(w*w\/(w\/(w*w**4))*w)**37 assuming w is positive.\nAnswer: w**(-1543\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 1898. What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + 2*b)*(-3*b**3 - 462 + 762 - 363).\nAnswer: -6*b**4 - 126*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 12*c - 4992. Let b = 421 + c. Let u(d) = d**3 - 5*d**2 - d + 5. Give u(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - s + (-4 + 1 + 1)*(-3 - s + 3) + s - 3*s + 4*s + (-3*s + 11*s + 5*s)*(-2 + 4 - 4))*(-5 + 3 + 4).\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 + 0.15. What is the closest to 0 in 5, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 13. Let c = 9 + j. Let n = -0.6 - -0.9. What is the closest to -1\/4 in n, c, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -83.2, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 6:15 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*t - 8 = 0, 0 = 4*t + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Suppose 4*h + 12 = 0, -b + 3*b = z*h + 83. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + y = 3*c - 50, -4*y - 119 = -5*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*c**6 + c**2 - 9*c wrt c.\nAnswer: -14880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from 183.188036257.\nAnswer: 183.228036257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20261.04 weeks in nanoseconds?\nAnswer: 12253876992000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*r**3 - r**2 - r**2 + 4*r**2 - 16*r**3 as p*r**3 + w*r + s*r**2 + t and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 0 + 0 + 0. Let i = 16 - y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(99) + 1 - sqrt(99) - (sqrt(99) + (sqrt(99)*-2 - sqrt(99)) + sqrt(99))*-3)**2 + -5.\nAnswer: 72*sqrt(11) + 902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 126. Suppose -r = -7*q + 2*q. Suppose -t + 75 = 2*t. Calculate the highest common divisor of t and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u = 0. Solve -3*r + n = r - 8, u = -3*r + 2*n + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678738978?\nAnswer: 2, 3, 37707721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwcuqywwuq. What is prob of picking 1 y and 1 u?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*g + 15, 68*p = 82*p - 3*g - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9795, -8844, -7893, -6942?\n\"Answer: 951*v - 10746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from {v: 6, b: 3, g: 9, p: 1}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-24 - (-13 - 7))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -8 + 8)\/(1\/21). Let g be (-544)\/(-18) + 8\/(-36). Let y = g - o. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 21 = 2*j - 23, -42 = -4*k - j. Calculate the lowest common multiple of 3 and (-17)\/(-2) + (45\/k - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j. Let c(r) be the second derivative of 3 + 1\/3*r**3 + 7*r + 0*r**2 + 5\/4*r**4. Determine c(b(z)).\nAnswer: 135*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317245.\nAnswer: 5, 67, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 14072. Let w(n) = -2*n**2. Give p(w(u)).\nAnswer: -8*u**4 + 14072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - -1 - (-35)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158970 and 155758806?\nAnswer: 778794030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12 - ((8 - 18) + 35\/945) and (-1 - 259\/108) + 2.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -24.3181.\nAnswer: 851.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 18*u + 1785 = 0. Is 34 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -13*g + 11*g. Solve 0 = 4*a - 20, -m + 3*a - 13 - g = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/((-1032)\/(-976)). Let o = m - -4\/43. Let l = 2.936 + 0.064. What is the biggest value in 0, 5, l, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2382 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -0.14, 0.077, -1\/2, -0.1948?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*z = -9*i + 22, -2*i = 2*z - 16. Let f(b) = -b**2 + 5*b + 3. Let q be f(i). Let s be -1 + (q - -2 - -2). Solve s = -k + 3 + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2143 - 2151. Let z = 0 - 0. Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 4. Let h be a(6). Let p be h*(-1)\/(1 + 1). Let s(o) = -3 + 1 + 2 - o. Let n(g) = 12*g. Determine p*s(m) + n(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let y(m) be the first derivative of 0*m**3 - m - 3*m**3 - 3*m + 3 + o*m**3. What is the first derivative of y(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2. Suppose 0 = 2*s - s - 3. Suppose 21 = s*f + 6. Let k(n) be the first derivative of -n**3\/3 + 94. Give f*k(q) - u(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3986*m**2 + 4001*m**2 + 0*m - 3 to u*m + r + p*m**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -104, -225, -384, -575, -792, -1029, -1280?\n\"Answer: h**3 - 28*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2646)\/945*5\/(-49).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387931913?\nAnswer: 173, 2242381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 75\/7, 3\/5?\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/24 + 41\/168. Sort 3, 0.3, a in decreasing order.\nAnswer: 3, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -3\/7, 90, 71, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 12*v**2 - 27*v - 15. Let j be b(7). Solve -5*o = -j*o - 216 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -705 at least as big as 0.108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2785008 and 71\/4689462?\nAnswer: 637766832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 11. Let l be r(0). Let n(q) be the third derivative of q**4\/24 - 7*q**3\/3 + 2*q**2 + 54*q + 15. Give n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 403 and 279.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q)\/q)\/q**17 assuming q is positive.\nAnswer: q**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1560, 1309, 1046, 765, 460, 125, -246?\n\"Answer: -o**3 - 244*o + 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3439*z + 45849. What is k(-13)?\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 2 - 2 + (-6 + 6 - 17*z)*(3 - 9 - 4) to g + h*z and give h.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2816 and 0.049509.\nAnswer: 139.417344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -79017 and -0.345.\nAnswer: -79017.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 883, 1754, 2625, 3496, 4367?\nAnswer: 5238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 81 + 105 - 2036*n - 266.\nAnswer: -2036*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let v(s) be the third derivative of -s**4\/6 - 13*s**2. Determine v(i(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 6. Let m be 3 + -1 + -2 + t. Sort m, -3, -2 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -6. Suppose 0 = -3*o + 8 + 7. Suppose 19 = l + 5*q, o*l + 5*q - q - 32 = 0. What is the remainder when x is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-2 - -6) + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(10\/(-6)). Let h = -76 + 75.5. What is the second smallest value in -2, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-126)*(-60)\/45?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2405 = -105*g + 170*g. What is the remainder when 13019 is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 4*w - 1. Let p be j(-4). Let b = 92\/3 - p. What is the nearest to -1 in 0.2, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 19 = 3*z, 4*z + 789*c = 787*c + 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -3*u - 27. Let p be 19*(-4 + (u - 0)). What is the remainder when 62 is divided by (-18)\/(-12) + 2\/((-4)\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 + -44. Let m = 65.99971 - b. Round m to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - 4) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7594 * 0.04\nAnswer: 303.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16651 - 16654. Let m(t) = -2*t**3 - 3*t**2 + 3*t + 1. Let h(f) = -3*f**3 - 5*f**2 + 5*f + 3. Determine y*h(c) + 5*m(c).\nAnswer: -c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -16993 and -16884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168 greater than or equal to 1168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30619, 3, -4?\nAnswer: 30619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z + 3. What is the third derivative of 3*a**6 + 3*a**2 - z*a**6 - 7*a**6 + a**6 wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2502489 rounded to three dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55335 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4113411 (base 6) to base 7\nAnswer: -1445605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-3) + (-5)\/(-15). Let u(s) = 2*s + 20. Let r be u(-10). Suppose 7*a = -r*a - 63. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196770 and 53232?\nAnswer: 1745743440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220 + 1310331120?\nAnswer: 1311000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 5, 48\/17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -27066810 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -156859913?\nAnswer: -156859913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:26 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -20, -30, -40, -50?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2*q**2 + 2*q**2)*(464*q + 347 - 347) to the form d + s*q**2 + g*q + w*q**3 and give g.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1125729 and 103\/330.\nAnswer: 11257290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15 + -5)\/5 + -3 + 5. Suppose 5969 = 2*d - d + o*k, -4*k + 29893 = 5*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 12*o**2 + 401*o - 4249. Calculate v(9).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 0 + -4 + 0 + 380. Let x = -540 + k. Let t be (-14)\/12*2*(-46)\/x. Which is the nearest to 0? (a) 2 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97472 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 517 - 446. Suppose s + 2*s - 204 = 0. Suppose -j*p = -s*p - 18. What is the smallest common multiple of 7 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - 23*w**2 + 2982*w - 17720. What is c(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17932191 is divided by 752?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9 - 15*g**3 + 0*g + 22*g**3 + 2*g + 7*g**2 - 6*g**3. Calculate s(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -7 + (-13 - (-24 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056 is divided by 178.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5760*y + 1042597. Calculate j(181).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:44 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 888133 (b) -10 (c) 3 (d) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(-5 + ((-4*(sqrt(539)*2 - sqrt(539) - sqrt(539)) + sqrt(539))*5)**2)*6*-3.\nAnswer: 2909520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 5*n - 8 = 7*u, 2*u - 4*n = 2. Let a(r) be the third derivative of 5*r**2 + 7\/24*r**4 + 0*r - 7\/6*r**u + 0 + 1\/60*r**5. Give a(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*x + 3, -12*c + 35 + 58 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03372 and -10.\nAnswer: -0.3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 2. Let p = -29 + 19. Let b(f) = 2*f**2 + 5. Let k = 39 + -24. Let a be (-6)\/(-4)*(-40)\/k. Determine a*b(s) + p*u(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1398 is divided by 354.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/11)\/(-1) - (-1288)\/506. What are the prime factors of ((-269)\/(-2))\/(q + (-105)\/56)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 913 + 135.5. Let u = j - 1049.2149. Round u to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) + (0 - 0). Let f = 0.8 - 3.8. Suppose 5*l - 15 = -0*l. What is the second biggest value in l, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3803850 and 50?\nAnswer: 3803850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 1454?\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 10. Let y be t(-6). What is the tens digit of (-345)\/(-20) + 1\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 11 = -4*d, -3*d + 2*m - 11 = 10. Let j(u) = -u**3 - 6*u**2 - 3*u + 3. What is j(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:38 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4241913 + 4241913 - 20*p**2.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b + 605. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313325.5 litres in millilitres?\nAnswer: 313325500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13370.\nAnswer: 2, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:51 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -123*t**2 + 123*t**2 + 2*t**3. Let s be l(2). Calculate the greatest common factor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 - 127318*n + 127320 = 0 for n.\nAnswer: -63660, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 + 51*w + 16. Let s be r(-8). Sort 6, -1, s, -4, -2 in ascending order.\nAnswer: s, -4, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*r - 89*r - 44384 + 44384.\nAnswer: 80*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*c**2 - 52*c**4 + 13*c**2 + 37*c**2 + (0*c**3 + c**3 + c**3)*(7*c - 12*c - 3*c).\nAnswer: -68*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6)*-1)\/(2\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (72\/(-16) + 4)*-12. Let p(k) be the first derivative of 18*k + 2\/3*k**3 - v - 6*k**2. Find n, given that p(n) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/10*(-18)\/4. What is the nearest to -0.1 in -3, t, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) -3\/2 (c) -0.5 (d) 2\/11 (e) 1\/8 (f) 48.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474327 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91571000 is divided by 644.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4795)\/(-274) + (-3 + -6 - -3))*4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 31 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(5 + -7 - (0 - 4)). Let q(s) = s**2 - 3. What is q(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, -0.5, -1\/5, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1845*x**4 + 180 + 2*x**2 - x**2 - 4*x**3 + 1847*x**4 in the form r*x**3 + s*x**2 + i + j*x + d*x**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 38 - 14)*(-3*o + o + 4*o + 19 - 19 - 7*o + (-2*o + 2*o + 2*o)*(0 + 0 + 2) - 5*o + 4*o - 4*o) to i*o + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -51*a - 29. Let f(p) = 65*p + 28. Calculate -3*f(d) - 4*o(d).\nAnswer: 9*d + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*n**5 + 27577*n**3 - 206*n + 68346 wrt n.\nAnswer: 320*n**3 + 165462*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*o**5 + o**4 + 0 + 2\/5*o**3 + 0*o**2 + 0*o.\nAnswer: o**3*(o + 2)*(2*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99692 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 41. Give h(-20).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 61 = -11*h. Suppose 2*q = -h*q - 24. Sort q, 0.4, -0.3 in decreasing order.\nAnswer: 0.4, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134442 (base 7) to base 6\nAnswer: 314320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 44 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38.68618 and 389.\nAnswer: -15048.92402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/21*1\/(-11)*6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -116.5.\nAnswer: -111.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 47 = 18*h. Suppose 0 = n - h - 96. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, -462, -2074, -5344, -10824, -19066, -30622, -46044?\nAnswer: -65884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*m = -4*q + 18, 4*m - 15 = -3*q. Let j = -2 + -3. What is the units digit of q\/5 - 1\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3915, 4, 2, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 45 + 222*b.\nAnswer: 222*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - 4*d**2 + 6*d**2)*(2*d**2 - 2*d**2 - 2*d**2) + (-3*d**2 + 3*d**2 - 2*d**2)*(-2 - 3 + 6)*(d**2 - 5*d + 5*d) - 64791*d + 14093*d**4 + 64791*d.\nAnswer: 14087*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9 = 55. Suppose -6*h = -5*h - m. What is the remainder when h is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1296 (b) -1 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3751225?\nAnswer: 5, 181, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40808 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -36394882.\nAnswer: -36394881.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 3586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73736, 146305, 218874, 291443, 364012, 436581?\n\"Answer: 72569*o + 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**2 + 4*a - 4. Let l be g(6). Let i(z) = 268*z + 18. Let h be i(3). Let k = h - l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/23)\/(x\/(x*x*x**(1\/18)\/x)) assuming x is positive.\nAnswer: x**(-31\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40767 and 5778?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -130019584 divided by -9\nAnswer: 130019584\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -4*c + 12. Let i be 3\/(c + (-2 - -6)). Solve -1 = -i*f - 7, -2*w = 3*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-44) + (-702)\/(-99)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23151 (base 7) to base 15.\nAnswer: 1b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20125363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2220013 (base 5) to base 11.\nAnswer: -27135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arnmq. Give prob of sequence nm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12315213, -24630421, -36945631, -49260843, -61576057, -73891273, -86206491?\nAnswer: -98521711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*s - 35, 0 = -2*v + 4*s + 3 + 77. Let b(d) = -d - 1. Let u be b(-5). Suppose -u*y + 150 = -3*y. What is the greatest common divisor of v and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ba - 15?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-3) - 2)\/(1\/(-102)). Suppose -g*a = -28*a - 24618. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -157671, -315346, -473021?\n\"Answer: -157675*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(15928\/(-137379))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713918 = n - 0*n. Let h = n + 2926090. Suppose 4*w - 395137 = -y + 1424879, -2*w + h = 2*y. What is y rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*1 + -3.\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.95552 micrometers in millimeters?\nAnswer: 0.00995552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**4 - v**2 + 2*v - 1. Let b(w) = -4*w**4 - 58*w**3 + 66*w**2 + 116*w + 2. Let z(u) = b(u) + 2*k(u). Factor z(j).\nAnswer: -2*j*(j - 2)*(j + 1)*(j + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6845 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13826 = -1234*s - 21960 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -0.8.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -124420311?\nAnswer: 124420302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 34 + 10. Solve -s*p = v, -2*v = -5*p + 2*v - 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 1793295.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 6, 0, -20, -60, -126, -224?\n\"Answer: -g**3 + 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -595, -1011, -1515, -2107, -2787, -3555?\n\"Answer: -44*o**2 - 284*o - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-732)\/1830)\/(1\/10 + 0). Put -0.4, h, -0.06 in increasing order.\nAnswer: h, -0.4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022 + -10?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 34. Let r(m) be the third derivative of -m**5\/60 + m**4\/6 - 5*m**3\/6 - m**2. Calculate r(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -3 (c) 2\/7 (d) 275\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102648, 205301, 307954, 410607?\nAnswer: 513260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75301\/5 + (-20)\/1500*-60.\nAnswer: 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(160) - sqrt(42)\/sqrt(3)*-6)\/((sqrt(80)\/sqrt(4)*4)\/(sqrt(100)\/(sqrt(30)\/sqrt(3)))).\nAnswer: 25*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.42, -2, 5\/6, 2\/15, 4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*q**2 - 102*q**2 + 23*q**2 + 1395*q + 20*q**2 + 28*q**2 to the form j*q + d + p*q**2 and give j.\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19290 divided by 1929\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aad when three letters picked without replacement from {d: 1, c: 6, f: 7, a: 5}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 23*o**9\/252 - o**5\/10 - 15*o**2 - 9. Let d(j) be the second derivative of f(j). What is the third derivative of d(m) wrt m?\nAnswer: 5520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2484 or 16.08?\nAnswer: 16.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose -2*i - g = 18. Let d be 2\/i - 72\/(-154). Which is the second biggest value? (a) 3 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 6*w + 32. Let x be (-2)\/(-6) + (-378)\/(-81). Let p be v(x). Let z be ((-9)\/p)\/((-2)\/((-4)\/6)). What is the closest to -9\/2 in -0.5, z, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + b = 1, -2*f - 2*b - 6 = -4*f. Find the common denominator of (-2)\/(64\/(-138)) + f and 49\/((-7)\/(28\/(-48))).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4\/11, 0, 2\/11, -534 in descending order.\nAnswer: 2\/11, 0, -4\/11, -7, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + (sqrt(612) - (sqrt(612) - (-2 + sqrt(612) + -1))) - sqrt(612)) + -2 + 1 + sqrt(612))**2.\nAnswer: -96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11*((-1400)\/231 + 6). Let q(h) be the second derivative of -13\/20*h**5 + 0 + 7*h + 0*h**4 + 0*h**2 - a*h**3. Find the second derivative of q(m) wrt m.\nAnswer: -78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*n)*(3*n - 2*n + n) + (1 + 3 - 6)*(-12 + 3 + 5)*(32*n**2 + 30*n**2 - 12*n**2).\nAnswer: 404*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*f + 0*f = 55, -2*f - 22 = -4*m. Suppose m = -5*q + a, -3*q + 4*q - a = 0. Let l be (-2 + -1 - -5)*5\/q. Sort -1, 4, 0, l in decreasing order.\nAnswer: 4, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20360 + -20365. Which is the second biggest value? (a) p (b) 3\/2 (c) 0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 2, r: 3, m: 1, x: 1}. What is prob of picking 1 x and 1 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2914 - 4300 = 33*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 363?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 51*m**2 + 208*m + 714. Does 31 divide d(-61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**3\/2 + 3*f**2\/2 + f. Let s(n) = n. Let j(v) = -i(v) + 4*s(v). Let g(u) = 4*u - 13. What is -6*g(a) + 26*j(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0924503ng?\nAnswer: 0.0000000000924503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1270489.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/y**(-1\/3))**(-2\/175)*(((((y\/y**(-2\/5))\/y)\/y)\/y)**(1\/43))**(-1\/78) assuming y is positive.\nAnswer: y**(-46\/684775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3. Let l(t) = -1. Let g(s) = -4*l(s) + u(s). Let m = 40 + -38. Suppose -4*z - 12 = m*v, -3*v - 2*v + 4*z + 12 = 0. Calculate g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12309 - 1.27?\nAnswer: 12307.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44084 - -0.5.\nAnswer: -44083.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k - 6. Calculate the remainder when 27 is divided by x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16443565967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3253 or 3245?\nAnswer: 3245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (13 - 6) + -6 - 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 + n - 6. Let f be b(0). Suppose -3*p + 39 - 3 = 0. Is 11 a factor of (-16)\/f*p*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1957950 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/60 - 2*d**4\/3 + 398*d**2 - 2. Determine f, given that h(f) = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 14 = -4*i, -5*j + 4*j + 4 = 2*i. Let y(a) be the first derivative of 0*a + 2\/9*a**3 + 0*a**2 - 2\/15*a**5 + 0*a**4 - j. Solve y(q) = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101563783 rounded to the nearest ten thousand?\nAnswer: -101560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-18) + 67821\/(-32994).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dep when three letters picked without replacement from {e: 5, s: 3, d: 1, m: 1, p: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.033 + 30.833. Let h = 3 + -1. Which is the nearest to 1? (a) h (b) 6\/13 (c) 2\/9 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -546? (a) -3\/56 (b) -0.5 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 4)\/(((-4)\/(-2))\/20). Suppose -j*l = -5*l - 10. Solve 0 = -z + l*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, 1, -12, 2982, 0 in decreasing order.\nAnswer: 2982, 222, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31828.2 rounded to the nearest one hundred?\nAnswer: -31800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcck. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567 = -55*a + 72 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48432, 93272, 138112, 182952, 227792?\n\"Answer: 44840*o + 3592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1186)\/7709 + ((-48)\/26 - -1). What is the third smallest value in q, 1\/5, 3\/53?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533809642?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 + 4 + -1 + -4 + 5 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1242 and 10464862?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-29703.\nAnswer: -653466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m + 264. Let g(d) = 7*d + 249. Determine 4*g(n) - 3*y(n).\nAnswer: 10*n + 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 411450 and 10920?\nAnswer: 11520600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-484)\/280 + -1*(-3)\/1 and -193\/1230.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + 12. Let u = -47 + w. Let k(z) = z**2 - 8*z - 9. Let b be k(u). Solve -o - 12 = -3*c - 0*o, b = 5*o - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 + -59. List the prime factors of -7 + 4 + j + 2.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3 + 64*b**2 - 2964*b - 45360 = 0.\nAnswer: -28, -15, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**8\/14 + p**4\/6 + 4*p + 1. Let n(b) be the first derivative of c(b). Find the third derivative of n(l) wrt l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 68. Suppose -7*x - 4*u + 75 = -2*x, 0 = u + 5. Let p = x - 9. What is the remainder when g is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 2, s: 1, m: 1, o: 2}. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 292, -2\/5, 6, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 11:21 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1183 and 73\/399.\nAnswer: 67431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1231340013?\nAnswer: -1231340012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 680543005 to the nearest 100000.\nAnswer: 680500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6*b + 13. Suppose -5*u + 2*d + 17 = -d, -5*d + 17 = 3*u. What is k(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 - 5 = 0. Suppose -m + t - 1 = -19, -4*t = k. Calculate the greatest common divisor of m and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - 2*u**4 + u**4 + 5*u - u**4 + 3*u**4 + 7*u + (2*u**3 + 3 - 3)*(u + 2 - 2).\nAnswer: 2*u**4 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0.5, -5 in decreasing order.\nAnswer: 0.5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t + 7. Let w be q(-6). Let a = 489\/8 - w. Calculate the common denominator of a and -3\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -11) + (-91 - -82) + (2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 90 (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5 - 8 + 11*x + x + x. Let q(s) = -9*s - 5. Let g(m) = -5*m - 2. Let w(p) = 9*g(p) - 4*q(p). What is -5*j(h) - 7*w(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**24)**19*((x**(1\/2))**(-19\/4))**22 assuming x is positive.\nAnswer: x**(-4693\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = -16*q + 47*q. Which is the third biggest value? (a) 23 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2\/3 + 17107990*k\/3 - 14634166092005\/3 = 0. What is k?\nAnswer: 1710799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m. Let l(v) = 8*v + 1. Suppose 2*w + 4*x = 26, w = -x + 1 + 7. Suppose 5*u - 13 - 12 = 2*o, 0 = -w*o. What is u*l(c) - 6*n(c)?\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 - (0 + (-8 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -792 (b) -0.3 (c) -0.4 (d) 6\/11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -51.6. Let t = 283 + -312. Which is the third biggest value? (a) 4 (b) t (c) z (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*v - 115*v - 11*v - 1)*(v**3 + v**2 - v**2).\nAnswer: -162*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 - 8*o**3\/3 - 9*o**2\/2 + 9*o - 2. Let k = 81521 - 81512. Calculate b(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7727815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5) + -5 - sqrt(30)\/(-2*sqrt(6)))**2.\nAnswer: 15*sqrt(5) + 145\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -3*r + p - 25, -2*p - 33 = -r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*t**4 + 32*t**3 + 4*t**2 - 8*t = 0. What is t?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.46509197 take away -2429?\nAnswer: 2479.46509197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*u = k - 8, u = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-490)*14 + -6*(-3)\/45?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 m when four letters picked without replacement from pmmpmmmswp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*1)*5 - sqrt(209) - (6*-3*sqrt(209) - sqrt(209)))\/(3*-2*sqrt(11)*1*-4).\nAnswer: 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11011101 (base 2) to base 16\nAnswer: dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/9)\/((z\/(z\/(z\/z**(1\/3))))\/z))\/(z**(-15))**(7\/9) assuming z is positive.\nAnswer: z**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = 2*x, -2*g = -0*g - 4*x + 16. Suppose i + 2*t + 8 = 0, -3*i - 4*t - 11 = 13. Let b = 11 + i. Solve -b*f + f - m + 3 = 0, g*f + 2 = 4*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/13)*a**(-11)\/a)\/(a\/a**(-24)*a*a\/a**5) assuming a is positive.\nAnswer: a**(-438\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*h - 17, a = 5*h + 1 + 7. Suppose -20*p + 9 = -25 - 26. Solve a*c - p = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 4*w + 16. Let k be c(6). Which is smaller: k or 79?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(72) + sqrt(72).\nAnswer: -6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhghswggswhhshhh.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1122, -1121, -1120, -1119, -1118?\n\"Answer: z - 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 3*s + 6, -h - 5*s = -10. Solve w - 19 = 4*n, h*w + 5 = 3*w + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = l - 9, -2*k + 65*l + 33 = 70*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(42)\/sqrt(3)*-4)\/sqrt(448) + -5).\nAnswer: sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1))**(-9\/8)\/(t**(1\/4))**(-21)*(t\/t**(-1\/3)*t)**(-5\/12)*(t*t**(-3\/2)*t)\/t*t*t**(-1)*t assuming t is positive.\nAnswer: t**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1671674 (base 8) to base 15\nAnswer: -99a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121120201 - 212122?\nAnswer: 120201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 14*o + 3. What is the units digit of s(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**3 - 2*q + 3*q**3 + 4*q**2 + 3*q**3 - q**2. Let c(a) = 6*a**3 - 10*a**2 + 7*a. What is -2*c(d) - 7*y(d)?\nAnswer: 2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 39588403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = y - 3*y - 140, -q + 3*y + 80 = 0. Let x be 8\/(-10)*q\/91. What is the closest to -0.1 in x, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 0 - 4 + h - 2*h. What is n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88103177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssoyosooksoossosooo. What is prob of sequence ks?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367728 - 2*h - 1367725 + 2735453.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*s - 87, -6*t + t + 5*s + 210 = 0. Let w = -43 - t. Find the common denominator of (-2)\/7 + w\/56 and 43\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 0 - (133 + -56)) + 8 - (-33 - -41)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 5*n + 1. Let c be x(-4). List the prime factors of ((-142)\/c)\/((-2)\/(-3)).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16968 and 21210?\nAnswer: 84840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from mnbgnnm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s**(-3\/5)\/s)\/s)\/s*s*s**(-4)\/s*s*s*(s**(-1\/4))**(-25\/3)*(s**(-4\/5)\/(s*s**4*s))**(-9) assuming s is positive.\nAnswer: s**(3581\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -21*d**2 + 9*d - 192. Let l(r) = 10*r**2 - 4*r + 95. Give 9*l(u) + 4*p(u).\nAnswer: 6*u**2 + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, -0.2, 4.96, -1\/6 in descending order.\nAnswer: 4.96, 2, -1\/6, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2784\/26675 + -2621054236\/25108617325. Let h = p + -7936862188\/110129643. Let o = h - -830\/13. Calculate the common denominator of o and 81\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 3) to base 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236540377.\nAnswer: 43, 1237, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1279 + -1.12. What is b rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -23. What is the remainder when (0 + 20\/(-3))*7491\/(-1135) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5080 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1035*c**2*x - c**2 - 116*c with respect to x.\nAnswer: 1035*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 679247817 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1882*l*s**3 + 70*l*s**2 - 17*l*s + 2153*l wrt s.\nAnswer: 11292*l*s + 140*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 2, a: 2, s: 1, g: 3, h: 3}. What is prob of sequence asag?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3100473410?\nAnswer: 2, 5, 5743, 53987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 171*d - 7274. Give c(-80).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 408\/(19 + -7)*(-2)\/8. Which is greater: f or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 + 1)*(0 - 1 + 2)*(214 - 2801 + 396)*(-2*h**2 + 4*h**2 - 4*h**2)*(-4 + 3 + 2) in the form u + o*h + n*h**2 and give n.\nAnswer: 21910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13338161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + z = 19, 229*h = 117*h + 117*h - 2*z + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = -r + 3, -15 = -5*r - 5*t. Let g be r*1*2*150\/20. Suppose 10*f - 7*f = 27. What is the greatest common factor of f and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h**2 - 4*h + 151. Let l(f) = -8*f**2 - 3*f + 151. What is -3*k(y) + 4*l(y)?\nAnswer: -2*y**2 + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 17*f + 4*v + 45 = 0, -15 = 5*v. Solve 0 = s + p + 3, f = -3*s - 2*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1542?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + (0 - -2) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62228 + 62231. Factor -2\/15*v**g - 4\/3 - 16\/15*v**2 + 38\/15*v.\nAnswer: -2*(v - 1)**2*(v + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/487 and 119\/564?\nAnswer: 274668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r + 4*r**2 - r**4 + r - r**4 wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 17*w = -52, 54 - 58 = -2*w for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(sqrt(1331) + 2)*-4 + (((sqrt(66) - 2*sqrt(66)) + sqrt(66))*-5)\/(sqrt(18)\/(-2*sqrt(3)))))**2.\nAnswer: 2816*sqrt(11) + 85440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -27. Let x be (-32)\/l + (-6)\/15. Let k(i) = i**2 - 6*i + 5. Let b be k(x). Solve 3*g + 7 = -b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -125, -202, -295, -410, -553?\n\"Answer: -f**3 + f**2 - 63*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j. Let w(i) = -2*i + 300. Calculate y(w(q)).\nAnswer: 6*q - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -350 (base 9) to base 11\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m. Let h(q) = -2045502*q - 2. Determine t(h(a)).\nAnswer: -30682530*a - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1\/103, -3 in decreasing order.\nAnswer: 1\/4, -1\/103, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-26) + (-100)\/(-26). Suppose -c + x*c = 60. Let f be (6 - 6) + (-8)\/(-4) - 0. Solve -6*d - c = -f*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -727609*l**2 + 3412*l - 4.\nAnswer: -(853*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 5 + 16 - (3 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-8) + (-122)\/(-8) and (-10)\/(-18)*(-1107)\/(-123).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 20 + 26 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 - 28*l - 21. Let y(k) = -k**2 - 8*k - 6. Let s(t) = 2*j(t) - 7*y(t). Let h(p) = -2*p - 3*p + 4*p. What is s(h(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -16.2. What is the third smallest value in n, -3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -28*r + 34*r. Solve -o + r = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m**(-6)\/m)))\/m*m**(3\/8)\/m)\/(m**(-1\/6)\/(m*m*(m*m*m*m**(-4)*m)\/m*m)))**(10\/13) assuming m is positive.\nAnswer: m**(-775\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*d - 6, -6 - 2 = -d + 3*o. Suppose -2046 = -d*y - 91. Round y to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/59 + -152\/413. Let k = 0 + 0. What is the closest to k in 0.2, -2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9535803.\nAnswer: 3, 3178601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/60 + 11*c**5\/10 + c**4\/24 + 77*c**3\/6 + 43*c**2. What is the smallest common multiple of 90 and i(33)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3 + sqrt(1216)*-1 + 1 + 3)*-1)**2.\nAnswer: -32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 32\/11*t - 8\/11*t**4 - 26\/11*t**3 + 8\/11 - 6\/11*t**2 = 0?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6609259 litres to millilitres.\nAnswer: 660.9259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -96928\/275 greater than or equal to -352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a21a (base 15) to base 12.\nAnswer: 397197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/1981890 and -67\/1322541?\nAnswer: 4774373010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0*(-2)\/4. Let s = -388 - -405. Sort 3, d, s in descending order.\nAnswer: s, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 + 181*w**3 + 247*w**3.\nAnswer: 408*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, -1, 6, 4, 436, -4 in decreasing order.\nAnswer: 436, 6, 4, -1, -4, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 103242 (base 9) to base 11\nAnswer: 42181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 3 (b) 146471 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167860, 167851, 167842, 167833, 167824?\nAnswer: 167815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**(-2\/9))**29\/(k**(-2\/13)\/(k*k\/(k*(k**(2\/5)*k)\/k*k))*((k\/(k**(-1)\/k))\/k*k)\/k*k*k\/(k*(k*k**5)\/k)*k*k*k) assuming k is positive.\nAnswer: k**(-2237\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123.07 - -0.93. Let z = g + 19. Let u = -142.999816 + z. Round u to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*i - 2*f + 464, 5 = -5*f. Suppose -5*h - i + 1455 = 0. List the prime factors of h.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*f + 53*f = 9*f + 1540 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*d + 26, 3*w = 5*d + 8*w - 140. Let u = d - 12. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3787*h**6 + 90*h**2 - 5 wrt h.\nAnswer: 454440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**4))**(-19) assuming b is positive.\nAnswer: b**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*v - 12, -6*b - 4*v + 71 = -b. Suppose 4*f = 16, 4*f - 16 = -o + 9. Calculate the remainder when b is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 3*l - 5. Suppose -k + 0 = -2. Let w be 2*k\/2 - 0. Let d(f) = 21*f**2 + 15*f - 26. Let z(u) = w*d(u) - 11*g(u). Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0.05, -1\/9, 13.1, 0.3 in descending order.\nAnswer: 22, 13.1, 0.3, 0.05, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsybbkyykykkbkkykbk. Give prob of sequence ysyb.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 6, n: 11}. What is prob of sequence pnp?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 79 and 6.3479?\nAnswer: 72.6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 395*k**3 + 480*k**2 + 6500*k + 8000.\nAnswer: -5*(k - 5)*(k + 2)**2*(k + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.029, 767, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.3929 + -0.3929. Suppose 37 + 28 = 5*h. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583135 is divided by 10374.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -0.2, -118, -3\/14 in decreasing order.\nAnswer: 0.11, -0.2, -3\/14, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 4 = -13*g, g = 2*u + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:23 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/5 + 10\/(-25). Let o = -3 - y. Solve 2*r = -o - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28298 and 3538.\nAnswer: 50059162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51434.93 - 51087. Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-32)\/((-48)\/(-6)) + 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 277, 547, 817, 1087, 1357?\n\"Answer: 270*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-42) - 2\/12. Suppose -2*h + 17 + 19 = x. What is the remainder when 35 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/14 (b) -4209.77 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474 and 2416926?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 959*h**3 + 2*h - 1. Let z be x(1). What is z rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 10*o**2 - 2*o + 11. Let j be l(-10). What is the greatest common factor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2161?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126 = -98*a - 3118 + 520 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 482\/162) + 23?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15037329, 15037330, 15037331, 15037332, 15037333, 15037334?\n\"Answer: g + 15037328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*u + 614 - 614 to b + q*u and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(0 + -2) - 7. Let m(c) = -5*c - 7. Is m(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 55*a - 76. Let q be x(26). Solve 6*n - 16 = -q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 2*m + 3. Let l(j) = -j**2 + 8*j - 3. Let h(s) = -s**2 + 9*s - 6. Let b be h(7). Let o be l(b). What is c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-96)*-8)\/(1\/(-10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 106 - 76)*(1 - 2 + 3)*(-3*d + 9*d - 2*d).\nAnswer: -232*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 10*z**2 - z + 15. Let d be o(11). Let h = -113 - d. Calculate the smallest common multiple of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5668 = -28*y - 6*y - 4478 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, e: 1, k: 2, z: 3, v: 2}. What is prob of sequence zzek?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -15. Let z(y) = y - 2. Let x(q) = -q - 1. Let k(p) = -7*p - 5. Let t(i) = k(i) - 6*x(i). Let m(o) = g*t(o) + 4*z(o). Determine m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-7)\/140*-16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 - (-21)\/12. Suppose 52*w - 50*w = 0. Suppose 3*b + v = -2*v + 18, -4*v + 12 = w. Solve -3*g + u*g + b = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 5. Let o(z) = -106*z**2 - 7*z - 19. Let c(p) = 30*p**2 + 2*p + 6. Let x(k) = -7*c(k) - 2*o(k). Determine 3*x(s) - 4*y(s).\nAnswer: 2*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 34153?\nAnswer: 34153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 5 (c) 4757 (d) 0.7 (e) 3 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1975 and 43325575.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83.8562 + -2.1438. What is the biggest value in -12, z, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 - -1) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w + 60. Let d be (-24)\/w*50\/(-2). What is the highest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 25 - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**3 - t**2 + t + 1. Let x be c(-1). Suppose -2*q = -3*a + 10, -x*a + q + 7 = 2. Solve a*k**3 + 2\/3*k**5 + 4\/3*k**4 + 0*k + 0 + 0*k**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69059 is divided by 1015.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)\/((-5)\/(-20)). Solve 0 = 4*z - b*k, -5 = z + 2*k - 4*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 8*o**2 - 8*o - 7. Let v(s) = 275*s + 1656. Let f be v(-6). Let d(y) = -3*y**3 - 7*y**2 - 7*y - 6. Give f*q(p) - 7*d(p).\nAnswer: 3*p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v + 1300 = 88*v + 34*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*t + 11*t = -184739 - 194805. Calculate the highest common divisor of 198 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + f. Let y = -3 - 0. Let j be m(y). Suppose s - j = 4*s. Let x(w) = 5*w + 3. Calculate x(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 15*s - 14. Suppose -64 = 4*t - 0*t. Let b be i(t). Suppose 54 = 3*o - 2*l, -l + 1 - 38 = -2*o. Solve 7*a - o = b*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 68, 76, 96, 128, 172?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 29 + 17 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67328 and 4471.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - y - 6*b = 444, 6*b - b - 230 + 45 = 2*y for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(4 - (-4)\/(-2)). Let p be l + (-2 - -12)\/2. Suppose 13 = 4*q + p. Solve q*h = -3*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -18. Let w be (20\/(-6))\/(o\/(-6)). Let v(k) = -k - 9. Let b be v(-5). Put -2, b, w in ascending order.\nAnswer: w, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 11 + 1 = 0. Let q be 2\/4*(i - -7 - -4). What is the derivative of 6*s - q*s - 29*s + 15 wrt s?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*q + 924 = 0. What is the lowest common multiple of 6 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)\/h**(3\/10))\/(h**11)**21 assuming h is positive.\nAnswer: h**(-30049\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 401*z - 221*z - 26944*z**2 - 180*z to t*z**2 + n + o*z and give t.\nAnswer: -26944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2177156 divided by 544289.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422*-81.8.\nAnswer: -34519.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-15))\/(3\/15). What are the prime factors of h\/6*(-26)\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 16*y**2 + 12*y - 9. Is n(-15) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 301, 300, 299?\n\"Answer: -y + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = -5*o + 7372. What is the hundreds digit of (o\/(-3))\/(-2*(-1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -2 + 32 + -23 + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 1:32 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5522899.\nAnswer: 5522899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 26. Suppose -5*n + 3*n + 10 = -s, -2*s + 7 = 5*n. Suppose -3*h = -2*z - n*z + 29, -2*z + 11 = -h. Solve -w - z = -t, -5*w - f = -t + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 + 6*b + 6. Let q = 88 - 94. Let j(r) = 6*r**2 + 5*r + 5. Determine q*j(y) + 5*f(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 12*k + 8. Calculate the smallest common multiple of c(4) and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/(3\/(-108)*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13661785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -c, -3*k - 29 = k - 5*c. Let m be (1\/(-2))\/(k\/12). Suppose -5*i - 30 = m*p - 2*p, 2*i = p + 1. Put 2, 1, i in descending order.\nAnswer: 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7847 + 7857 - 6\/1*38\/3?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -187090, 1, -1 in decreasing order.\nAnswer: 5, 2, 1, -1, -187090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1316\/(-84))\/((-70)\/(-30)) + 7. Let w = 6 - 4. Let o*k**3 - 8\/7*k - 2\/7*k**w + 8\/7 = 0. What is k?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121200332310 (base 4) in base 12?\nAnswer: -22a6930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.56 in -5, -2\/9, -8878?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(171) + sqrt(171))*-6)**2 + -2 + sqrt(171) + 2 + sqrt(171) + ((sqrt(171) + 2*sqrt(171) + sqrt(171))*1)**2.\nAnswer: -930*sqrt(19) + 27529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f**4 + 2*f**2 - 16*f + 2. Let y(z) = z**2 + 1. Let v(x) = -t(x) + 2*y(x). Find the second derivative of v(r) wrt r.\nAnswer: 264*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, 24, -7, -445 in decreasing order.\nAnswer: 24, 5, 3, -1, -7, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 12*i + 15, 7 = t - i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/448 and 11\/2.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/12*1*3. Solve -2*g = n*q + 23, 0 = -3*g + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:28 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (418*r - 116*r + 3*r)*(0 + 0 - r**2) - 4*r**3 + 3*r**3 - r**3 as c + w*r**3 + i*r + u*r**2 and give w.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61399191 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r + 38*r - 12 = 0. Let f be (1 - (3 + -4)) + (-507)\/r. Let g = f + -858\/5. Sort g, 0.3, 10 in increasing order.\nAnswer: g, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023311 to 4 decimal places.\nAnswer: -0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89607 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1902, -6353, -13370, -22959, -35126, -49877, -67218, -87155?\n\"Answer: -a**3 - 1277*a**2 - 613*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 25770 + 6*m - 25770. Let i(s) = -25*s**2. Calculate i(b(g)).\nAnswer: -900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2135 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1683\/2780 - 3\/556. Let d = -25.1 + 20.1. Put -1.1, 0.5, x, d in increasing order.\nAnswer: d, -1.1, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7572238.\nAnswer: 2, 3786119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i + 2. Calculate r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32934656281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + 16 + -7 + 2 + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjiirkddtdkkkdddt. Give prob of picking 2 d and 2 j.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 1390177066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1505*c**2 - 1491*c**2 + 3*c + 0*c - 3*c.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19037, 20931, 22825, 24719, 26613?\nAnswer: 28507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376189, 752374, 1128559?\nAnswer: 1504744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -624\/203 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (75456\/256)\/(6\/8). Suppose -4*o - s = s - 402, b = 4*o - s. Is 68 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047885014?\nAnswer: 2, 11, 23, 29, 71411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 305512304?\nAnswer: -305512303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - (-8)\/(-15). Suppose 7*o = 2*o - 5. Is i at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a - 5*h + 90, -2*a - 2*h + 5*h - 6*h - 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*(-198)\/111969*-870?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -m + 44, 4*m - 2*r - 131 = 45. What is the highest common factor of 484 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j - 6*j - j**3 + 2*j**2 - 21134 + 21136 - 2*j**4 + 0*j**3 to k + i*j**4 + b*j + r*j**2 + g*j**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:48 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 16, e: 4}. Give prob of sequence evv.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 41. Let f be a(-14). Which is smaller: 1\/10 or f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 32 - 44 - z + 61 to the form n*z + o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54179538 is divided by 89.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 99032*g. Let u(w) = 855*w**2. Calculate r(u(p)).\nAnswer: 84672360*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 15 (c) 75\/296 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 25*h - 109. Let z be d(6). Suppose q = z*y - 612 - 2686, -3*y + 1968 = 3*q. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {p: 5, h: 3, m: 2, f: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8442223 <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/11)\/(b*b**(2\/11))*(b**(3\/4))**(-2\/61) assuming b is positive.\nAnswer: b**(-2107\/1342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 6542?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 0 + -2 + sqrt(2057) + sqrt(2057) + 1 + -5 - ((sqrt(2057) - (-4 + 1 + sqrt(2057) + sqrt(2057))) + 4)) + -3)**2*1.\nAnswer: -1408*sqrt(17) + 33168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 16. Let b = 17.2 + -1.2. Let c = b + u. Which is smaller: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(0 + (1 - 0)). Let x(i) = i**2 - 285*i - 12639. Let n be x(-39). Put -10, d, n, -1 in ascending order.\nAnswer: -10, d, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 73982417*t - 73982417*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:15 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123333000 (base 4) in base 15?\nAnswer: -7697d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/6 - 71*p**5\/4 - 5*p**4\/4 + 1075*p**3\/6 - 355*p**2 + 167*p + 1. Solve a(y) = 0 for y.\nAnswer: -2, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6358\/(-1122))\/(1 + 235\/(-234)). What is the greatest common divisor of a and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91944.7535 rounded to the nearest ten?\nAnswer: 91940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87483 is divided by 144.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, -0.04, 0.3, -0.01?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 4*q**2 + 2*q - 3. Let w be r(-3). Suppose -55 = -u - w*u. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 271743 and 1806123?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + 1 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 11) to base 4\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6151609m in kilometers?\nAnswer: 0.0006151609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:21 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/5 + 5740804*p\/5 + 5740802\/5 = 0. Calculate p.\nAnswer: -2870401, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -165*y**2 + 143*y - 6. Let z(x) = -55*x**2 + 48*x - 1. Let c(d) = 2*b(d) - 7*z(d). Factor c(q).\nAnswer: 5*(q - 1)*(11*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:46 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1249 divided by 1249.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 38. Let d be h(-7). Let c = d + -22. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477 * 3\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let o(q) be the second derivative of -q**4\/4 + 2*q**2 + 2*q. Let t(j) = 5*j**2 - 7. Let f(x) = -7*o(x) - 4*t(x). Determine y(f(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 32*c**2 - 667*c\/2 - 365.\nAnswer: (c - 10)*(c + 1)*(c + 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**10\/90720 - l**9\/45360 - l**4\/4 - l**3\/6 - 23*l**2. Let t(h) be the second derivative of k(h). Solve t(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {n: 6, p: 4, s: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 2*y**5\/5 + 99*y**4\/4 - 2*y**3\/3 - 1583*y**2\/2 + 874. What is the third derivative of l(n) wrt n?\nAnswer: 48*n + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let c(g) be the second derivative of -23*g**4\/12 - 42*g. What is c(o(i))?\nAnswer: -23*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 442ab (base 12) in base 2?\nAnswer: 10110000010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let b be -1*(-2 + 4\/4). Let h(k) = -23*k - 3. Let o(u) = 17*u + 2. Let c(w) = 5*h(w) + 7*o(w). Determine b*c(p) + 6*a(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**3 - 9*a**4 + 9*a**5 - 4*a**3 - 3*a**3 + 3*a**5 = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1824, 7, -15, -3, 5 in increasing order.\nAnswer: -15, -3, 5, 7, 1824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/294859 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r + 4*g - 2 = 98*r, 0 = 2*r - 2*g + 4 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 21*y**2. Let n(b) = 12210*b**2. Determine x(n(a)).\nAnswer: 3130766100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/7)*k**(-3)*(k*k**0\/k*k*k)**(1\/32) assuming k is positive.\nAnswer: k**(-265\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c + 392 = 197*c - 5306 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 divided by -3?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10835.13274 + 10835. Round z to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(108) + 0.\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1824)\/204 - -9) + (-4402692)\/(-34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 15 - (-1 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:13 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -431 and 1508698.8366?\nAnswer: 1509129.8366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 16*y + 90. What is w(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7487150 by -2.\nAnswer: 3743575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59798 + -12b?\nAnswer: 59669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108 - 0?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 5. Let b(o) be the first derivative of o**2\/2 + 3*o + 1. Let k(m) = -5*b(m) + 3*l(m). Let x(j) = 5*j. Determine x(k(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 2. Let q = -23 + 34. Suppose -m - q = r - 1, 0 = -5*m + 5*r. What is the units digit of a(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 20. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27061, -27070, -27093, -27136, -27205, -27306, -27445?\nAnswer: -27628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 1 n when three letters picked without replacement from {w: 6, n: 1, a: 5, d: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.075653s in microseconds?\nAnswer: 7075653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -80001*w**3 + w**2 + 3*w - 2. Let n = -4 + 6. Let o = 0 + n. Let q be y(o). What is q rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j + 69. Suppose -3*c = -c + 34. Calculate the least common multiple of 22 and s(c).\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3)\/((-4)\/6*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3405 = -1293. Suppose 0 = v*s - 2110*s - 1894. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - 18\/15. Let i(z) = -z**2 - 1. Let c be i(-2). Sort 0, c, y in increasing order.\nAnswer: c, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -30. Suppose -765 = -n*h + 39*h. What are the prime factors of h?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 363 + -364. Which is the closest to w? (a) 7 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4641, -4671, -4615, -4473, -4245?\nAnswer: -3931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 269064 and 27432?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1114*f - 4453. Let p be t(-4). Solve -2*x + 7 = p*d, 4*d + x - 6*x = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + 239. Suppose 0 = -4*r - 5*j + 583, -5*r = j - 647 - 108. Let t = h - r. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-18) - (-12)\/9. Factor 0*f**2 - k*f**2 + f**5 + f**3 - 4*f**3.\nAnswer: f**2*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 + q**2 - 4*q**2 + 0*q**6 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -44*b**2 + 10. Let f(o) = 2*o**2 - 64. Calculate f(p(u)).\nAnswer: 3872*u**4 - 1760*u**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124 or -8123?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 - (-7 + -1). Let b = d + -4. Solve -2*y + 4 = b*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 227, 343, 459, 575?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (144723\/(-72))\/((-6)\/40). Let d = 13405 - w. Calculate the common denominator of d and -9\/154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1267, -1272, -1277, -1282?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (12 + 12452\/(-11))*3\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*k*r - 2*g*k*z - g*r*z + 2*k*r*z + 349*k - 26*z with respect to z.\nAnswer: -2*g*k - g*r + 2*k*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -63, -86, -107?\n\"Answer: q**2 - 28*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 297351 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -1, 33, 14 in increasing order.\nAnswer: -30, -1, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m = 1562. Let b = -288 + m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-274 + 256 - (2 - 25)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(300) + -1)**2 - sqrt(6)\/sqrt(2)*-5*4.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3915*n + 3859. Determine z(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o + 2*o)*(-18*o + 3*o**3 + 20*o - 6*o**3) - 8*o**4 - 34 + 34.\nAnswer: -17*o**4 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 8*l**2 - 7*l - 12. Calculate k(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -1411.9?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 z when three letters picked without replacement from {v: 4, w: 2, i: 1, z: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6350 - 11554?\nAnswer: -21234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(26\/195*40)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a factor of 91866350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129856?\nAnswer: 2, 3, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 3:19 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(88\/(-9) - 17\/(306\/(-180))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132) - sqrt(132)*4)*3)\/(1*(sqrt(972) + sqrt(972) + sqrt(972) + sqrt(972)*-4 - sqrt(12))) + -3.\nAnswer: -3 + 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2569886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 9 - (0 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272936701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + b**2 - 2*b**4 + 0*b**2 - 4 - 2*b**2 - b**2 + b to a*b + d*b**4 + w*b**3 + p*b**2 + z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose -2*y = 5*m - 16, 2*m + 0*m = 5*y - 11. Suppose 0 = k*x + l - 2, m*x + 4 = 6*x - 2*l. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6564b65 + -1?\nAnswer: 6564b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.986 + 16. Let q = 0.1575 - 0.1415. Let l = q + c. What is the closest to 1\/4 in 4\/3, l, -1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8544.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3*f + 2. Let q be z(-3). Let y be (-5 + 3 - -24) + -4. Suppose -y = -q*m - 4. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1520 (c) 0.039758\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -89*p - 3800. What is m(-42)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 67781*r + 1288. Let l(g) = 158*g + 3. What is 3*h(a) - 1288*l(a)?\nAnswer: -161*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.38 + 6.62. Let v = -8 + d. Sort -0.2, v, 0.05, -2 in decreasing order.\nAnswer: 0.05, -0.2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1349528\/9 in -0.3, 3, -5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 42*q + 2923. Give u(-68).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -34099\nAnswer: 10229.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(1 + 1 + 0)*(79*h - 68890 + 68890).\nAnswer: 632*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {s: 7, a: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = l. Let x be (-661)\/(-4) - l\/4. Suppose 0 = -d - 4*d + x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 (base 7) in base 6?\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*x - 2, -x = -6*x + 4*b - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289995.\nAnswer: 3, 5, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2475\/(-2) - -1) + (-159)\/(-106). Does 17 divide (8\/(-5))\/(38\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58074 is divided by 256?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.2. Put 5, u, 0.9 in decreasing order.\nAnswer: 5, 0.9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-4)*192\/(-9). Let i = u - -58. Put 2, 4, i, -3 in descending order.\nAnswer: i, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 2*p - 4*p + 6*p - 2*p - 3*p + (1 - 4 + 1)*(2*p - 6*p + 2*p) + 3*p - 2*p + p - 1 + 1 + 2*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1. Let h(g) = 2*g - 6. Let x(q) = -q**3 - 8*q**2 - 7*q + 3. Let w be x(-7). Suppose 0 = w*b - 7*b - 4. Give b*h(l) - 4*d(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-11))\/((88\/4)\/880).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -3)*(3 - 1). What is the third derivative of -2*k**6 - k**6 + 3*k**2 + 3*k**c - 7*k**2 wrt k?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -58. Let m = -85.307932 + 86.308. Let w = x - m. What is w rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/36*6\/9*9. Let j(k) be the third derivative of -1\/525*k**7 + 0*k + 0*k**3 - 2\/15*k**4 - 21*k**n + 0 + 1\/60*k**6 - 1\/75*k**5. Factor j(b).\nAnswer: -2*b*(b - 4)*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 67*r**8\/20160 - 11*r**6\/80 + 13*r**5\/15 - 29*r**2. Let t(j) be the third derivative of s(j). Differentiate t(d) wrt d.\nAnswer: 134*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845656 - -2.59.\nAnswer: -845653.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (-1*(sqrt(1280) + 4)*4)**2*1.\nAnswer: 2048*sqrt(5) + 20737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*n**3 - 15*n**2 - 8*n**2 + 199*n**3 + 23*n**2.\nAnswer: 158*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0)**(-19)*((t\/((t*t**(2\/3))\/t*t))\/t)**(-17)*(t\/t**(1\/4))**24*(t*t**(2\/7))**(-27) assuming t is positive.\nAnswer: t**(-155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -511\/68 - 25\/34. Find the common denominator of 28\/9 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5321 by -493.\nAnswer: -313\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28)\/((-22)\/14)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 73 = -4*s, -c = s + 4 - 11. What is the greatest common factor of s and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -964 divided by 2761.\nAnswer: -964\/2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984989933.\nAnswer: 23, 271, 478901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 7. Suppose -4*m = m - 40. Suppose 0 = 2*o + 8 + m. Let s be t(o). Which is the closest to s? (a) 3 (b) -2\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 1, h: 1}. Give prob of picking 2 f and 1 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q + 4. Let c be y(6). What is the common denominator of (6 - 72\/c) + (-61)\/(-16) and 1\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29605423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s + 4*j = 1511944, -1511950 = -4*s - j. Let b be s\/42 - 2\/(-7). Suppose 3*w - b = 2*q, 0*w = -4*q + 2*w - 18000. Round q to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 - 13*p**2 + 7*p**2)*(p**2 - p**2 + 3*p**3).\nAnswer: -33*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 331256 = -5*k + 239447, 5*f + 114158 = k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 35 = -4*c + 48, 4*c + 4*b = 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10519+113063534\nAnswer: 113053015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3\/3 - 610*h**2\/3 - 6200*h = 0. Calculate h.\nAnswer: -62, -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 g when three letters picked without replacement from jjjjjjjyjjjyjjgpjpjl?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(117) + -2)**2 + sqrt(117))*2.\nAnswer: -1452 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from rsginrg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -984 - -1009. What is the remainder when 69 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {n: 2, u: 7, e: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -10*d. Suppose 13*x - 14*x - 3 = 0. Suppose -19 = 5*a + 5*k - 2*k, -5 = -5*a + 5*k. Sort d, a, x in descending order.\nAnswer: d, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 976312*v - 238296280336.\nAnswer: -(v + 488156)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -320. Let h = -114 + l. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -32. Calculate the greatest common divisor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -1.09 (c) 0 (d) 123509 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 - 119*z**3\/2 + 371*z**2 - 500*z.\nAnswer: -z*(z - 4)*(z - 2)*(z + 125)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*t + 32*f - 30*f, -4*f - 12 = -4*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0582704 or 1\/3?\nAnswer: 0.0582704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and 3996?\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10671*t + 10510*t - 2*t**2 - 21312*t - 13)*(t + 3*t - 2*t)*(3*t - 3*t + t**2).\nAnswer: -4*t**5 - 262*t**4 - 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362689757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 3 - 3 + 0*l - 2*l**2 + 0*l + (-l**2 + 3 - 3)*(1 - 2 + 3) + 3*l - 3*l + l**2)*(69 - 113 - 193).\nAnswer: 948*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - -4) - (-155 + 158).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/60)\/(6\/(-15)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 12:31 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3698 and 0.2.\nAnswer: -3697.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.55 - -2.55. Put n, -0.03, 2\/13 in descending order.\nAnswer: n, 2\/13, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -214.68604.\nAnswer: 85.874416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/192*8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10172796 is divided by 17973?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3. Suppose 0 = 12*b + 4*b. What is y(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 (base 9) in base 4?\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p - 3*m, -2*p - 3*m - 2 = -8. Suppose -3*l = 4*r + 5, -p*l + 10 = -2*r - 15. Let h be ((-2)\/6*(-5 - r))\/1. Solve s - 5 = -h*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {y: 3, q: 3, o: 3, r: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23311824466 + 23311824466 + 2*k + 29*k.\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1112 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1963, 11722, 37085, 85852, 165823, 284798, 450577?\nAnswer: 670960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*z - 64. Suppose -2*g = -n + 60, -n + 5*g + 38 + 31 = 0. Calculate the remainder when n is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 33 + 3. Let c be (-1*3 - -2)*-75. Suppose i = 3*z - c. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/8 - 21)*3\/(-2). What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 389777 and 1636.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -13.1.\nAnswer: -39.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/24*216\/108?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1076 - 740. Suppose 0 = 436*r - 435*r + 3*n - 15, -2*r + 29 = 5*n. Calculate the highest common factor of r and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -23331?\nAnswer: -5\/23331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 624857 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 comes next: -14823, -59798, -134757, -239700, -374627, -539538?\nAnswer: -734433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3.88 (c) -0.0899\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9383 divided by -12406.\nAnswer: 9383\/12406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 - 34*x + 12. Let w be q(-6). Solve i - 4*v + 0 - 6 = w, 4 = -2*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28371 (base 10) in base 13?\nAnswer: -cbb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106718.\nAnswer: 2, 53359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2262144.6 months?\nAnswer: 188512.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*(j\/j**(-29\/2))\/j*j*j)*j))**26\/(j*j**(-5\/6)\/j)**(2\/3) assuming j is positive.\nAnswer: j**(4100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 966175607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15576.04 + -15557.67439. Let b = 18.14560986 - k. Let y = 0.22 + b. What is y rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546888369 or -546888366?\nAnswer: -546888369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Let c(g) = 2*g**2 + 4*g**2 - 2*g - 2*g**v + 2. What is the tens digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76266887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -30*k**2 - 12*k - 12. Let c(q) = 3*q**2 - 5*q - 10. Let r(y) = -3*y**2 + 1. Let p(w) = c(w) + 5*r(w). Determine 5*n(l) - 12*p(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97642830 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/164 + 2\/41. Let f = 25.3 + -0.3. Let n = 25 - f. Which is the smallest value? (a) 0.2 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k + 8. Let y be 2*(-1)\/(k\/20). Put y, 4, 0 in decreasing order.\nAnswer: y, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*j - 75*j + 36. Let d be (j\/(-4))\/9*0*1. Solve 2*n - 5*n + 6 = d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2617*p**3 + 8*p**2 - 5*p - 1968. Let a(m) = -13084*m**3 + 44*m**2 - 28*m - 9839. Let z(h) = 2*a(h) - 11*k(h). What is the derivative of z(q) wrt q?\nAnswer: 7857*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13002 (base 4) in base 14?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - 94\/(-18). Let d(l) = -l**3 - 2*l**2 + 5*l + 4. Suppose 4*q = 2*v - 4*v - 6, 3*v + 3*q = -9. Let i be d(v). Sort y, i, 4 in ascending order.\nAnswer: i, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1573) + -5)*-3.\nAnswer: -33*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 171 = -129. Factor -174*g + 146*g**2 + 261 - 143 - 42*g**3 + 2*g**4 - y.\nAnswer: 2*(g - 17)*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202002001011 (base 3) to base 16.\nAnswer: -6078d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1466 + -1472. Let k(u) = u**2 + 7*u - 1. Let c(l) = 2*l**2 + 14*l - 3. Let n(o) = 3*c(o) - 7*k(o). Give n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5522245 (base 6) in base 14?\nAnswer: 72473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139 and 10?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 9:20 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**5 + 7246*x**3 - 3*x**2 - 20*x - 44 wrt x?\nAnswer: 180*x**2 + 43476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4257 - -4513. What is the lowest common multiple of u and 16?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-7))\/(53010\/12369).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 6*i - 2*i**4 + 2*i**3)*(3*i + 14*i - 8*i + (-4 + 2 - 3)*(3*i - 3*i + 2*i)).\nAnswer: 2*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -0.2, 0.3, 1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1536*r**3 + 3468*r**3 - 1 - 1540*r**3.\nAnswer: 392*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*s - 4*n - 87, -5*s = -5*n - 105. Let x = 18 - s. Let z be 3 + 0 + -3 - x. Solve z = -0*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 7.09. Let q = -0.04 + a. Round q to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36\/5*u**2 - 24\/5*u + 3\/5*u**5 - 6\/5*u**3 + 0 - 9\/5*u**4 = 0 for u.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 - 340*t**2 - 236*t + 2348998 wrt t.\nAnswer: 8*t**3 - 680*t - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8451638ng?\nAnswer: 0.0000000000000008451638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.16596mm in micrometers?\nAnswer: 43165.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 >= 236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t + 88. Let x be d(-6). Put x, 42, 4 in descending order.\nAnswer: 42, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12881793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - s + 19 = 5*j, 0 = -4*s + j + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 28. Let r(x) = -2*x + 27. Let t(d) = -4*p(d) - 3*r(d). Let c(w) = -4432*w + 4429*w - 3 + 3. Calculate t(c(a)).\nAnswer: -6*a + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 21996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -197.04 - 2.96. Let m = f + 199.9999726. Round m to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2972*p**2*q**5 - 2*p**2*q**2 - 4*p**2*q + 6*p*q**6 - 2*p*q - 7*q**2 wrt q.\nAnswer: 178320*p**2*q**2 + 720*p*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10257*(0 - (-1)\/3))\/((-11)\/(-66))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25279 and 2999279.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/4347 and 37\/621?\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 3)*(-2*n + 3*n + 5*n)*(3 - 3 + 7) in the form o*n + c and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 2658.\nAnswer: -55818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 451 (b) 1 (c) -2\/7 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 153553 times -0.62\nAnswer: -95202.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/4920*48)\/((-148)\/(-10)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*r = 267, 35 = 3*y - 5*r - 132. Let m be 9\/6*8\/y. Let o = -0.1 + 0.6. What is the second biggest value in m, o, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/32*2\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 11*u**2 - 9*u + 7. Let a be i(-10). Let l = -15 + 52. Let x = 36 - l. Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15075 and 27939?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/4)\/5)\/(3\/(-1008)*-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/639 and -37\/284.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + ((sqrt(72) + 1)*5 - -4*(sqrt(72) - (sqrt(72) + -1 + sqrt(72) - sqrt(72)))**2))*-5.\nAnswer: -450*sqrt(2) - 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33808454 <= 33808455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 1, -5, 2\/19, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 22*g + 64. Let r(f) = -7*f - 21. Let z(u) = 2*m(u) + 7*r(u). What is the lowest common multiple of z(-5) and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(320) + -2 - sqrt(320)) + sqrt(320) + -3*sqrt(320)*4 - (4*(sqrt(320) + 2) + sqrt(320))*-2*-4)**2.\nAnswer: 47328*sqrt(5) + 835683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 624267 * -18.23.\nAnswer: -11380387.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0.1, -266, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:25 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 360562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 10. Determine n(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2024691*a*f**2*h**2 + 15*a*f**2*h - a*f*h**2 - 11*a*f*h - 22*f + 2082 wrt f.\nAnswer: -4049382*a*h**2 + 30*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-17)*(-3)\/3. Let h be (-43 - (-4709)\/51) + -50. What is the fourth biggest value in h, 1, 4, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/18, 4, -564 in descending order.\nAnswer: 4, -5\/18, -564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/((-10)\/(-120)). Suppose 4*l + z*o - 172 = 0, 0 = -l - 3*l + o + 182. Solve -5*h = 5*g - l, 3*h + h + 3*g = 31 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/34)\/(4\/(-10)*(-2)\/4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:26 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqqqqwq. What is prob of picking 3 q and 1 w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 divided by 1?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59340 by 2580.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5377106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*u - 2*n, -2*u + 3*n + 8 = 2. Suppose -3*o - 110 = -2*a, u*o + 2*o - 252 = -4*a. Calculate the remainder when a is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/13 + (15 - 18147\/1495)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1005 - -1640?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.907157 rounded to 2 dps?\nAnswer: 156.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 13*n**2 - 30*n + 50. Does 5 divide q(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {b: 1, l: 1, t: 6, i: 2, p: 9}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2 + 4*h + 2. Calculate l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwozn. What is prob of picking 2 w, 1 n, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:29 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*(b*b**2*b)\/b)))\/(b**10\/b))\/(b*b*b*b**(5\/2)*b**(1\/8)))**(-1\/14) assuming b is positive.\nAnswer: b**(85\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/92112122 and -5\/8.\nAnswer: 368448488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:49 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**7\/21 + f**6\/24 - f**5\/3 - 5*f**4\/24 + 9*f**2 - 28. Let v(c) be the second derivative of g(c). Factor v(b).\nAnswer: 5*b*(b - 1)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 11 = 4*z, 12 = -8*z - z - 2*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 - (-3)\/(15\/(-110)). What is the tens digit of (-3 - s)*18\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4635*j - 151869. Determine v(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 less than 3081\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -391876\/13 + 193434\/13*m + 2\/13*m**3 + 96*m**2 = 0.\nAnswer: -313, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/18 + 5\/45. Suppose -5*b - d*j = -20, 4*j - 16 = -4*b + 12. Suppose v - 19 = -b. What is the remainder when v is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4 - 2*j**2 + 2*j + 6*j + 3*j**2. Suppose 91*f + 593 = -135. Determine w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 515191 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691901435?\nAnswer: 5, 5153, 104479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -222, 5085, -5, -2, -2\/3, 3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2744)*3 + sqrt(2744))\/(sqrt(128)*-1 + sqrt(8)).\nAnswer: -28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2415))\/((-39*74\/16835)\/(9\/21)).\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 10, j: 4}. What is prob of sequence jlw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11260562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 9*n + 8. Suppose -4 = -2*m - 2*z, -2*m + z = -z. Calculate the highest common divisor of n and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o. Let k(x) = -x**3 + x**2 - 4. Let i be k(0). Let y = i - -6. Let f(w) = -4 + y + 2 + w. Give f(h(n)).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 33\/33*(-3 + 121)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -c5d?\nAnswer: -c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 1\/36*t**4 - 1\/3*t**3 + 0*t + t**2 + 0 + 0*t**5 - 1\/540*t**6. Let y(r) be the first derivative of u(r). Factor y(w).\nAnswer: -2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -955 + 138*x - 65*x - 71*x.\nAnswer: 2*x - 955","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {r: 1, x: 4, b: 8}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 18 = 34 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 - (-41 + 28 - (-2 - 12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*(n\/(n**(-2)*n))\/n*n**(1\/5)*n**(-4) assuming n is positive.\nAnswer: n**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479.25*-3.7.\nAnswer: -1773.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(63) + sqrt(7)) - sqrt(3024)*-2)\/((sqrt(7) + sqrt(42)\/sqrt(54))*-4).\nAnswer: -291*sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-702)\/(-108)*(-2)\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211629648 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -44*w**2 - 9*w + 8. Let o(j) = -11*j**2 - 2*j + 2. Let t(q) = -2*i(q) + 9*o(q). Let c(b) = 3*b. Determine t(c(r)).\nAnswer: -99*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 + 4.13. Let y = 4 - i. Which is greater: y or -2\/31?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwttttntwnunnnnjnn. Give prob of picking 2 t.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9\/5)\/3*(-10665)\/12798\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2767531 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*(3 + sqrt(512)) + -6*sqrt(512)*4)*4 + 0)**2.\nAnswer: -29511936 - 1105920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*(-4)\/48*15*1\/(-1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 746, 4, -1, -25 in decreasing order.\nAnswer: 746, 4, 0, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -423a + 490?\nAnswer: -3b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*(-9 - -11). Is 4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.44 and -374?\nAnswer: 374.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c - 6. Let k be v(-3). Let s = 21 - k. Suppose -4*g + 20 = -g + 5*o, -3*o = s. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*r - 22700 = -274*r - 3122 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2591 - 3*j - 5*j - 2539. What is the least common multiple of 52 and s(3)?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 7267 + 40123 = 0. What are the prime factors of j?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*w - 86*w - 32326. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15752883, 31505770, 47258657, 63011544, 78764431, 94517318?\n\"Answer: 15752887*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -8. What is the least common multiple of (4 + 14)*(0 + (-2)\/(-4)) and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68\/85 - 4\/5. Suppose 36*d - 32*d = n. Solve d = -l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-768)*-56)\/(245\/140)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -0.23. Let n = -7.29 - -7.6. Let p = n + k. Sort 0.3, p, 1\/12 in descending order.\nAnswer: 0.3, p, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1027 + u**2 + 3*u + 1031 - u. Let w(a) = -a + 2. Let n be w(0). Suppose n*y = -2*y - 12. What is t(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 + 174. Is (2 - -57) + k + 0 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19335, -38996, -58657, -78318, -97979?\n\"Answer: -19661*s + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 51*u + 211. What is the tens digit of h(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26932.22t in kilograms?\nAnswer: 26932220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5145.8 from -1.52.\nAnswer: 5144.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15793013 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9050157 is divided by 386.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**2 - 6. Let c(o) = -o**2 - 1. Let l(q) = 6*c(q) - s(q). Let j(t) = 13*t**2. Let v be (-6)\/9 - (-128)\/(-6). Calculate v*l(b) + 2*j(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**3 - 120*h**2 + 119*h + 21. What is w(-31)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 25072*c - 225567. What is x(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48666.9648 + -48587. Let r = 80 - v. Let x = 0.036 - r. What is x rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 2, c: 9, g: 3}. Give prob of picking 1 c, 2 z, and 1 e.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16205 is divided by 7489?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 6)*(-3*a**4 + 23*a - 23*a) - 3 + 3 + a**4 to the form d + y*a**3 + b*a**2 + r*a + n*a**4 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2348200 + 1?\nAnswer: -2348199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3594)\/(-8) + (-6)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-1 + sqrt(475) - sqrt(475))*-2)**2 - (-4*(-1 + sqrt(475)))**2).\nAnswer: -7612 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 20 = 0, -4*n - 3*c = -c - 22. Calculate the lowest common multiple of 26 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-16)*-4 - -154. Suppose 3*y = 597 - 132. Let w = y - b. Sort -2, w, 3, 0 in increasing order.\nAnswer: -2, w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*l = 4*g - 32, 178 = 5*l - 5*g - 162 + 365 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iui when three letters picked without replacement from ubiqi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 20)*(21\/(-28) - -1). Suppose -4*b + 24 = -4*n, -2*n = j*b + 3*n + 10. Let f be b\/2 - (-3)\/1. Put 0.5, 2\/15, f in decreasing order.\nAnswer: f, 0.5, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 i when four letters picked without replacement from iiiiiwiiiiiiiii?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.4 + 7.9. Let q = 0.848 - 0.948. What is the closest to q in g, -5, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 1484 = -1254. Solve -3*z + 22 = f*t, -2*t = 2*z + 3*t - 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.432 - 4.932. What is the nearest to 0.1 in s, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8*l*l*l)\/l**(-15))**(-2\/45) assuming l is positive.\nAnswer: l**(-52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45775 = 49970*u - 49975*u. What are the prime factors of u?\nAnswer: 5, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((9\/3)\/6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/55923 and -55\/71901.\nAnswer: 503307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)\/sqrt(3) - sqrt(33))\/(sqrt(22)\/sqrt(2)*1)*-1.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/2288*11*(-32)\/12)\/((-2)\/(-360))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1, -4, 3, 4 in decreasing order.\nAnswer: 4, 3, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-200)*136 + 3\/5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 176.75 and 162133876.\nAnswer: 162134052.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 168 - 168 + 4*k**2. Let y(f) = -f**2. Let g be 12 + 1 + 6 + -8. Let v(o) = 2*o**2. Let z(j) = g*y(j) + 4*v(j). Give z(a(h)).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -625*z**5 + 627375*z**4 + 10996450*z**3 - 21147390*z**2 + 12959055*z - 2618865 = 0.\nAnswer: -19, 3\/5, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3474 is divided by 496.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 9*y**2 - 7*y + 10. Let m be a(-8). Suppose -m*p - 52 = -6*p. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + -11 + (-2 - -7). Is 3\/g + -3 + 3309 + -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2. Let z be 59\/7 + -8 + (-102)\/(-7). Let q(v) = 10*v + 3*v - z*v. What is g(q(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*d**4 - 100*d**4 - 2*d**2 - 2*d**2 - 92*d**4 + 1 to v*d**3 + z + n*d**2 + f*d**4 + c*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 3:56 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 54099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/2574*44*(-15)\/(-4))\/((-2)\/20).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:34 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 17}. What is prob of sequence fhfh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3747, -7635, -11525, -15417, -19311?\n\"Answer: -j**2 - 3885*j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -4*z - 4*c, -114 + 32 = -3*z + 2*c. Suppose -4*j - z - 30 = 3*t, -5*t + 40 = -5*j. Is 2 a factor of 2\/j + (-279)\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - -42. What is the smallest common multiple of g and 60?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*t**5 - 390726*t**3 + 610743*t?\nAnswer: -120*t**3 - 2344356*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*l - 14, 4*g - 7901 = -5*l - 7959 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 - 6398*o - 19203 = 0.\nAnswer: -3, 6401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 4 + -10 + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16, 3, 4, -5, -0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/13 + 1244*d**3 = 0. What is d?\nAnswer: -8086, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -534 - -534.00339. Round p to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -o + 10, 32 = 5*o + 3*p - 12. Let l(a) be the second derivative of a**5\/20 - 7*a**4\/12 + 11*a**3\/6 - 13*a**2\/2 - 2*a. Does 14 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 33 = -2*h, t - 87 = -6*h + h. Let k(x) = -3*x. Let a be k(-1). Suppose -5 = -a*b + 22. Calculate the smallest common multiple of b and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - 22*m - 23*m - 19*m - 18*m - 25*m + 119*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in -4, 2\/19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10362, -10359, -10356, -10353, -10350, -10347?\n\"Answer: 3*j - 10365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490175503 and 86149.\nAnswer: 12307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/78*8\/(-294). Let w = a - -908\/637. Factor -2\/7*r - 6\/7*r**3 - w*r**2 + 2\/7.\nAnswer: -2*(r + 1)**2*(3*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*d**4 - 165*d**3 - d**2 - 241*d + 10 wrt d.\nAnswer: -276*d**2 - 990*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17501 (b) -1\/4 (c) 4 (d) 0.2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 902 - 900. Suppose -7 = 4*f - z + 6*z, -z = -5*f + 13. Factor 8*r**f - 20*r + 4*r - 3*r**j + 31*r - 20.\nAnswer: 5*(r - 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 + 32. Let o(f) = 2*f**2 - 5. Let a(i) = -g(i) - 3*o(i). Let t(c) = 3*c**2. What is a(t(m))?\nAnswer: -18*m**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o - 177. Let r be f(-42). Let y = r - 369. Solve y = 2*v - 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3093 is divided by 622.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 125063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 359877360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 11, 43, 107, 215, 379, 611?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*1892633\nAnswer: 7570532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.23 + 1.17. Let q = -6.55 + k. Let b = -0.15 - q. Put b, -1\/3, -0.3 in ascending order.\nAnswer: b, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(1 + sqrt(68) + 4) + -3)**2.\nAnswer: 560*sqrt(17) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, 99, 2 in decreasing order.\nAnswer: 99, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*m + 30 = -123*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 4078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y**2 - 11. Suppose 0 = -435*g + 432*g - 18. Let r(d) = -4*d**2 - 4. Calculate g*j(i) + 17*r(i).\nAnswer: 4*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1444836 by 10.\nAnswer: 722418\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {r: 5, h: 3, p: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7081.292 millennia?\nAnswer: 708129.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 2*z**4 + 11*z**4 - 11*z**4 + 2*z + 3 as g*z + o*z**3 + h + s*z**2 + a*z**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b**2. Let x(o) be the first derivative of 0*o + 1\/2*o**2 - 136. Give x(z(s)).\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 3*x**2 - 1. Let l(q) = -q + 1. Let g(u) = u**2 - 2*u + 2. Let j(k) = g(k) - 2*l(k). What is j(s(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10541 + -4878. List the prime factors of h.\nAnswer: 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 3 - (-7 + 4) - (-109 + 77)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6835166 (base 11) to base 16\nAnswer: -b6a021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.85853*8.\nAnswer: -14.86824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*b**2)*(-2 + 4 + 0) + b**2 - 3*b**2 + b**2 + 0*b**2 - b**2 + 0*b**2 + (-23907 + 23907 - 179*b)*(-2*b - 2 + 2) as d*b + k*b**2 + s and give k.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 830 = -2*v, 0*z - 2*z = -2*v + 818. What is the common denominator of -18 and ((-9)\/v)\/(8\/(-2980))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1066 - -2625. List the prime factors of w.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4231 is divided by 387.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 80, 54, -104, -466, -1104, -2090, -3496?\n\"Answer: -12*o**3 + 42*o**2 - 8*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420450152 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -54. Solve -32*s - 12 + w*s**4 - 3*s**3 - 16*s**2 + 35*s**3 - 36 + 60*s**2 = 0 for s.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 293*l + 268*l - 40 + 40 + (-2 + 5 - 5)*(-2 + 2 - l).\nAnswer: 563*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 2)*(0 + 0 - 2*s)*(47 - 18 - 1)*(4 - 1 - 1) to v + b*s and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4729, 9459, 14189, 18919, 23649, 28379?\nAnswer: 33109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let b(i) be the first derivative of -106*i**2 + i + 54. Give b(q(n)).\nAnswer: 424*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = z + 12, 2*z - 2*h - h = -3. Suppose 2*p + 6 = -d + 22, 3*d - 60 = -z*p. What is the remainder when 94 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-8\/5)\/f)\/(f**(-16)*f))\/(f**(-17)\/f*f**(-19)))**(-47) assuming f is positive.\nAnswer: f**(-11609\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229205 or -229206?\nAnswer: -229205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 6*m + 7*m)*((2 - 1 + 0)*(-4 + 2 + 1) - 37 - 192 - 1).\nAnswer: -3234*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274.5 - 274.1. What is the nearest to 2\/7 in -3, 2\/11, 12, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8048663 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 1332570*p + 88787140245.\nAnswer: 5*(p - 133257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 955*p - 8 = 1910*p - 951*p. Put 24, p, -0.6, 4, 3 in increasing order.\nAnswer: p, -0.6, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3706654 and 3052.\nAnswer: 7413308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31735, -31733, -31731, -31729, -31727, -31725?\nAnswer: -31723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287853927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, -390, 1 in decreasing order.\nAnswer: 1, -2, -13, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -113.1857 + 0.1\nAnswer: -113.0857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -41*q - 1385. Give g(-33).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 - -1.93. What is the nearest to 2 in 0, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 + 20. Let o(r) = r - 46. What is z(o(d))?\nAnswer: d**2 - 92*d + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12767495269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-10))\/(-1))\/(21\/(-252)*84\/196).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*x**2 + 7*x + 624417 - 624417)*(2*x + 5*x - 5*x).\nAnswer: -134*x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 14*i**2 - 11*i - 8. Suppose 3*n - 8*n = -15. Let q(g) = -5*g - 3*g - 3 + 5*g**2 + n*g + g. Let v = 11 - 7. Calculate v*p(j) - 11*q(j).\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000057506 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 - -1)\/(-10))\/(2\/(-5)). Factor 1\/2*q + w*q**2 + 0.\nAnswer: q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3 + 84299*r**2 - 16552*r - 2.\nAnswer: 12*r + 168598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 40 - 156 = -a, -8*w - w - 284 = 8*w - 2*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79.058 + -79. Let m = 0.358 - s. Let p = 49\/244 + 3\/61. Which is the smallest value? (a) m (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, v: 1, m: 2, b: 1, w: 1}. Give prob of picking 1 b and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s**2 + 2005*s + 181. What is b(-167)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -0.089899143988293?\nAnswer: 4.089899143988293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + 4.23. Let o = 4 - q. What is the closest to -1 in o, 4, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -301*f + 1006. What is the remainder when 307 is divided by b(3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/21 - -3 - 48\/42. Suppose 0*f + f - 9 = 0. Let d be f\/(-6)*(-2)\/(-2). Sort u, 4, d in descending order.\nAnswer: 4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-40)*(-12)\/(-4)*5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 5*i**2 + 5*i + 7. Let r be j(-5). Let h be r\/(-12) - (-5)\/(-6). Factor -8\/3*f + h*f**2 + 8\/3.\nAnswer: 2*(f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50177, 50176, 50175?\n\"Answer: -g + 50178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101111001010000111110 - 101?\nAnswer: 10010101111001010000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/120 + j**5\/30 + j**4\/4 - 2*j**3\/3 - 12*j**2. Let h be a(3). Solve 0 = 4*u, h*o + 2*u = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19346497 not equal to -19346498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3810 = 27*y + 462. What is the least common multiple of 5 and y?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12776 take away 44?\nAnswer: -12820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34342.\nAnswer: 2, 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14931 is divided by 2586.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose g + v = -1. Let q(r) be the second derivative of -r**4\/12 - 7*r**3\/6 + r**2\/2 - 2*r - 38. Determine q(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -39 (b) -74 (c) 5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.5 (c) -4 (d) 7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 7*c**2 - 6*c - 4. Let p be n(8). Let o(z) = -z**2 + 13*z + 16. Is 14 a factor of o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 (base 14) to base 9\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -8*t**3\/3 - 1. Let y(w) = 4860*w + 8. Let z(j) = -8507*j - 14. Let u(g) = -7*y(g) - 4*z(g). Give c(u(l)).\nAnswer: -512*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9136\/3 + 3062. Calculate the common denominator of 43\/105 and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 42*l**2 + 48*l + 26. Calculate t(22).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 44\/5. Suppose 4*l - 13 = -5*v, 0 = -7*l + 2*l + v + o. Factor 0*j**3 - 9*j**l + 5*j**3 - 2*j**3 + 6*j.\nAnswer: 3*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.13 times -24.02?\nAnswer: -75.1826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2221 - 2255.02. Let d = k + 34. Let u = -7 - -8. Which is the smallest value? (a) 0 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.9 - -0.1. Let z = 63.78 - 59.78. Let i = 3 - 2. Sort z, g, i in descending order.\nAnswer: g, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -275, -314, -355, -398, -443?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**3 + 22*g + 0 - 11\/20*g**5 - 23\/12*g**4 + 0*g**2. What is the third derivative of k(b) wrt b?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/9 + (-144)\/120*10\/(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227 - 134. Let h(u) = -2*u**3 + 44*u**2 - 223*u + 207. Calculate the remainder when z is divided by h(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*m - 93 + 17, -m = -4. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36519.22 or 1?\nAnswer: 36519.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y - 6. Let c be s(3). Suppose c*p - 2*k - 181 = 7*p, 0 = 5*p - k - 183. Calculate the remainder when p is divided by 1 + (-19)\/(1 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*z**5\/3 + 75*z**4 + 835*z**3\/3 + 1175*z**2\/3 + 215*z + 100\/3 = 0. What is z?\nAnswer: -5, -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -184997*c**3 + c + 897236 with respect to c.\nAnswer: -554991*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 - -50)) + (11 - (-14 + 21))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7603 is divided by 1085.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 9*p**2 + 9*p + 13. Suppose 4*k - 104 = 3*q, 5*q - 2*k = k - 166. Let t be (1 + 22\/(-6))*120\/q. Determine f(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73114651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 470929?\nAnswer: 4\/470929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2*q**2 + 19735*f**2 + 270*f*q + 5*q**2 wrt q.\nAnswer: 6*f**2*q + 270*f + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 0, 5, 1 in increasing order.\nAnswer: -7, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 52 = -23*k + 19*k, 0 = 2*k - 3*a - 11. Solve k = -f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + 93\/12. Let s = -6 + y. Suppose s*t + 3*n - 20 = 2*n, 0 = 3*t - 2*n - 30. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 9*o**2 - o + 23. Let k be f(-5). Solve -10\/3*l**k + 4\/3 + 10\/3*l - 4\/3*l**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let a(l) = -9*l**3 - l**2 + 3*l + 4. Let r be a(-1). Let z(s) = -s**2 - 11*s**2 + r - 9. What is b(z(g))?\nAnswer: -144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1))**(3\/2)*k**(-2\/3)*k\/(k\/(k\/(k\/(k*k**(-2))))*k) assuming k is positive.\nAnswer: k**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 48*g**2 - 168*g - 50. What is the remainder when x(6) is divided by 335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539445 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16365269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m + 0*m)*(0*m**3 - 7*m**3 + 2*m**3) + 2*m**5 - 2*m**5 + 2*m**5.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2. Let p(h) = 2*h**3 - 6*h**2 + h. What is 4*a(b) + 3*p(b)?\nAnswer: 2*b**3 + 6*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - 4*j + 1. Let v = 249 + -251. Let l be y(v). Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + (-40)\/15. Let k be ((-126)\/7)\/(0 + r). Which is greater: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/2*(-20)\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 5. Let z be c(0). Suppose -2*t - 3 + 7 = 2*r, 2*r - z*t = -10. Suppose r = i + 5 - 0. Let l(q) = -q**3 - 5*q**2 + q + 3. What is l(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(25\/30)\/(15\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*t**2 + 3*t**2 + 5*t**2)*(8 + 7 - 8).\nAnswer: 378*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {h: 1, a: 5, f: 3}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0\/(-1) + -16)\/(123\/(-492))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l. Let i be q(1). Is (-41)\/i + 8\/16 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let m = -0.3 - 1.7. Let u = -3544592\/35 + 101274. Sort w, m, u.\nAnswer: m, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 - 4*g**2 + g + 3. Let u be q(1). Solve -n = 4, -4*n - 44 + 13 = -u*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, -7, 10 in increasing order.\nAnswer: -7, -4, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41678 - 7*x + 20838 - 3*x + 20840 + 10*x - 12*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 113927145 divided by -113927145?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 times -0.035\nAnswer: 0.001295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzhzzmzmzzhz. What is prob of sequence hmmh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96487879*l**5 - 14020118*l**2 - 4*l wrt l.\nAnswer: 5789272740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25681 - 4400\nAnswer: -30081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.127213 - -2561.\nAnswer: 2561.127213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) - 6*-4*sqrt(11)) + -2 - -4*((sqrt(891) - sqrt(891)*-4)*-6)**2.\nAnswer: 125*sqrt(11) + 3207598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292641*h**4*p**3 + 269*h**3 - h**2*p**3 + 655*h**2*p + 2*h*p**3 - h + 2*p**3 - 1302 wrt h.\nAnswer: -7023384*h*p**3 + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlyhclhshhl. What is prob of picking 1 s and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Let f be 25\/(-5)*(-1 - g). Suppose -5*a = f*o + 3 + 7, 3*o = 4*a - 13. Solve n + 0 = a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 312, 80, -200, -528, -904?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 742 (base 10) to base 11.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788857003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 2}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11\/7 of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -37*g + 7. Let t be (-67 + 65)\/(g\/4). Which is the fourth biggest value? (a) -0.2 (b) -4 (c) 1\/10 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -294*t + 13464. Give m(46).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvhvhovhofh. Give prob of picking 4 v.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.797 * 5\nAnswer: -3.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 + k - 1. Suppose 2*b = -3*b - 35. Let r(a) = a + 8. Let z be r(b). Let j be d(z). Let w(n) = 2*n - 4. What is w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*q + 1868 - 5523 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 4*d + 30 = 0. Suppose 0*l = 3*h - 5*l - 557, d*h = l + 943. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 + 17*w + 17. Let k be 2\/(-7) - 540\/21. Let u be (10\/(-5))\/((-4)\/k). Let l(g) = 2*g**2 - 8*g - 8. Give u*l(q) - 6*x(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(475)*-2 + 5 + sqrt(304) + -4*sqrt(76)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: -3600*sqrt(19) + 69300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*z + c**2 - 2*c*v*z - 3*c + 8*v*z - z - 13 with respect to c.\nAnswer: 8*c*z + 2*c - 2*v*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let r(s) be the second derivative of 0*s**3 - 2*s - s**2 - 1\/6*s**4 + h. What is the derivative of r(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-88)\/55)\/1)\/(4\/(-10)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = -2*c + 62, 0 = 3*c + 4*a - 94. Let u be (-4)\/(-6)*c\/5. Solve -2*p - u = -4*k - k, -3*p + 4*k - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -439, -442, -445?\n\"Answer: -3*a - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 13*j**2 + 4*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 6}. Give prob of sequence ppp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(441) - (sqrt(280)\/sqrt(7) - sqrt(40))*2)\/(3*(sqrt(1152) + -4*(sqrt(1152)*2 - sqrt(1152) - sqrt(1152)))))**2.\nAnswer: 5\/63504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p - 9. Let l = p + 6. Suppose -3*s = 5*y + l, 2*s - 2*y - 25 = -11. Solve m = -s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - 34*i**2 + 17*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 2, y: 7, k: 1}. Give prob of picking 1 c and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856006.\nAnswer: 2, 428003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*g, 4*z + g = 2*z - 3. Sort -18, -5, z in ascending order.\nAnswer: -18, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73123.86 to the nearest one thousand.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 21746.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.568486096 to 4 decimal places.\nAnswer: 0.5685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from zxqnqz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g - 15. Let u(l) be the third derivative of 5*l**4\/24 - 7*l**3\/6 + 15*l**2 - 58*l. What is 4*a(b) - 9*u(b)?\nAnswer: -9*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4\/7 - 36*y**2\/7 - 48*y\/7 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 5 (c) -8 (d) 7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 + 3*d**3 - d**4 + d**2 + 6*d**3 - 8*d**3 + 2 in the form n*d**2 + f*d**3 + x*d + b + s*d**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274 - -386. Let i = -118 + p. Let m = -4.5 - -5. Put -0.4, -4\/5, m, i in descending order.\nAnswer: m, -0.4, -4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-6) - ((-1403)\/1525 + 11\/1).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 15. Let a be b(-10). Sort 0, a, 9, 3.\nAnswer: a, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 336 or 334?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48169594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*f + 36, g + 12 = 4*g. Suppose f*p - 8 = 3*p. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 16, -611*x + 614*x + 3 = -13*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.042 + -0.958. Let g = -11 - -12. What is the closest to q in 11, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/15*-5 + 47128\/2150.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 3*o + 44611, 22302 = a - 5*o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 1 + 1)*(-1 + 2 - 2) + (-3 + 1 + 3)*(-5 - 2*o + 5) + 2*o - 5*o + 4*o - 6 - 34*o + 6.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 2. Suppose 0 = -4*a - 0*a + 92. Suppose 5*n - 2 - a = 0. Let o(i) = 11*i + 5. What is n*u(b) - 2*o(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/7)*w)*((w**(1\/3)*w)\/w)\/w)\/(w*w**(-1\/2)*w*w*w\/w**(1\/7)) assuming w is positive.\nAnswer: w**(-181\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 550 and 618035?\nAnswer: 6180350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88360 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 - -4134610?\nAnswer: 4134711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1952*r - 1534*r + 20482 = 0 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 281216 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*p + 34110 = 0, -4*x - 3*p = 8066 - 35354. List the prime factors of x.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(117)*-2 + -2)*-1*-2.\nAnswer: 8 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 4*y - 3. Let a be x(-3). Let r(q) = q**2 - 2*q. Let j be r(a). Suppose -4\/9*w**4 + 0*w**j + 2\/9*w**5 + 0 - 2\/9*w + 4\/9*w**2 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17382950 and 14300.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Suppose k*x - 36 = -2*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0 - 146 = 3*z, -4*z - 221 = -3*c. Suppose -15*p - 16 = -16*p. Calculate the remainder when c is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (0 - (0 - -2)). Sort 1, b, -2 in increasing order.\nAnswer: -2, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -26, -33, -40?\n\"Answer: -7*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let k = -282793 - -282791.000048. Let b = k + d. Round b to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -132*v + 2259. What is the remainder when 2081 is divided by k(17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032868 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4385c (base 14) in base 6?\nAnswer: -3301054","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 310, 810, 1600, 2734, 4266, 6250, 8740?\n\"Answer: 9*m**3 + 64*m**2 + 9*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*d + 5134 - 5134 as p + w*d and give w.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -226301 (base 7) to base 14\nAnswer: -10b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45818.\nAnswer: 2, 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 33 = -c, -55 = -5*p - c. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - u + (0 - u + 0 + u - u - 3*u + (u + u - 4*u)*(-2 - 1 + 5) + 3*u - 2*u - 3*u)*(5 + 0 - 3).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 7*c + 9*c + 0*c + 0*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1505, 1810, 2115?\n\"Answer: 305*r + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -201001220?\nAnswer: 201001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 12*p + 16. What is z(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 - -2. Let r = 7996\/169 + 10\/507. Let b = 47 - r. Sort -2\/3, t, b in descending order.\nAnswer: t, b, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 8 + 23. Let s = 0.8 + -1. Let o = 0.7 + s. Which is the second biggest value? (a) o (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 6*m**2 - m + 8. Let s be l(6). Suppose 222 = -6*a + 9*a. What is the units digit of 0 - (a + s)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djd when three letters picked without replacement from {j: 11, d: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2146955, -2146956, -2146959, -2146964, -2146971?\n\"Answer: -s**2 + 2*s - 2146956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*w + 10 = 0, -2*y + w + 7 = 4*w. Let r be 95\/100 - (((-52)\/16 - -4) + -1). What is the nearest to r in 4, -2\/7, y, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -328 (base 10) to base 15.\nAnswer: -16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.34 - -0.26. Let z = -19.4 - b. Is -1\/4 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2118087 and -7.\nAnswer: 14826609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/11 - 315\/(-99). Suppose -3*g = 4*t - 23, g + 11 = b*t - 3. What is the derivative of 13*c**3 + g + 4*c**4 - 13*c**3 wrt c?\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((1*sqrt(11))**2 + -5 - sqrt(11)) + sqrt(99) + 4 - ((sqrt(99)*5)\/sqrt(9) + 4)).\nAnswer: -3*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/3)\/(-2)*9\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o - 111 - 36 = 0. What is the remainder when 183 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 + 1 = 0. Let b be j*((-177)\/(-171) - 1). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 455, 438, 401, 338?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u - f - 26 = 0, 0 = -2*u - 3*f. Let a = 1 + u. Which is smaller: -6 or a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let s(u) = -u + 3. Let y(l) = l - 1. Let a(c) = -3*s(c) - 6*y(c). Suppose 1490*t - 33 = 1501*t. Give t*a(d) - 8*i(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42204440 + -3114?\nAnswer: -42213104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12528 and 16356?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 25130*k - 351825. What is v(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + d33?\nAnswer: d31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/165 and -133\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 1. Suppose h - 7 + 2 = 0. Let q be a(h). Let f = 38 + q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/574 + (5 - 4) + 22\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**8\/k)\/k**(-6))**(9\/4)\/(((k*(k*k**(2\/7)*k)\/k*k)\/(k*k**(-3\/2)\/k*k))\/(k*(k*k**(-2\/7))\/k*k*k*k\/k**(-2\/11))) assuming k is positive.\nAnswer: k**(2434\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 + 3?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2077\/33135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -16*v - 53. Calculate the remainder when w(-8) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 63 = 3*v - 156, -d = -v + 73. Calculate the highest common factor of 803 and v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9814 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7851267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 3189183309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 790328.4 times 0.5?\nAnswer: 395164.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:00 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 150. Solve 0 = i*p + 2*n + 10, -n = -0 - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19151, -76519, -172103, -305903?\nAnswer: -477919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10823 = -4*a, 4*b + 4*a - 4201 - 39011 = 0. Suppose -6*s + f = -s - b, 5*s = 2*f + 10809. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 13376071?\nAnswer: 13376071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 559 = 17*p. Does p = -233\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -20*x**2. Let j(h) be the third derivative of 7*h**4\/8 - 40*h**2 + 3. Give d(j(q)).\nAnswer: -8820*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 + -9.64. Let a = -48.7 + u. Let g = 57.9999969 + a. Round g to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233405 (base 7) to base 8.\nAnswer: 1403362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 4:49 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 times 6\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2284007, -2284008, -2284009?\n\"Answer: -j - 2284006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4303988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54b958 (base 13) to base 12.\nAnswer: -803446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/195 and -9\/1040.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**3 - 7*q**2 - q. Let j(v) = 5*v**3 - 4*v**2 - v. Let x be (-10)\/(-2)*(-41 - -40). What is x*j(w) + 3*l(w)?\nAnswer: 2*w**3 - w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6783958 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/2 - 4*-1. Suppose y = -0*w + w. Do -1\/7 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -338.15585?\nAnswer: -326.15585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 5) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7520749 is divided by 670.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206 is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 2. Let d be ((-6)\/12)\/((-10)\/(-4)). Which is the closest to 0.1? (a) d (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-10)\/(-12))*-14*40\/32. Let h = -12 - -8. Let d = h - -8. Solve 8 = -v + 3*a, -d*v - v - 4*a = z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h**4 + 19898*h**3 + 5670*h**2 - 19898*h - 5684 = 0.\nAnswer: -1421, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 164 = -4*s - 428, -4*d - 5*s = -300. Let j = 65 - d. Let f(r) = -1 + 2*r**3 - r**3 + 6*r**2 + 5*r - 1. Determine f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390502 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -42.958, 1\/2, -0.2, 28.36?\nAnswer: 28.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2020213201 (base 4) to base 15\nAnswer: b0c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (21 - 94) + (-5 + 0 - (39 - 44)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -465 divided by -93\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37896 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let c(m) = -m - 2. Let v be c(-4). Let y(o) = 5*o**h - 3*o**2 - 4*o**v. Let z(w) = 2*w**2. Determine z(y(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/105*-4)\/((-6950)\/(-72975))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.1. Let s = -0.3 - -0.7. Let l = -8 + 7.7. What is the closest to -1 in s, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:54 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-76))\/(-1*11*159\/2120).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(512) + sqrt(512))*5 + 3 + -3*-3*(1*sqrt(512))**2.\nAnswer: 240*sqrt(2) + 4616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.82 - 25.28. Let y = d + -10. What is y rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1 + 7 - 3*k**2 - 4*k + 5*k**2 - 2. Let x be m(2). Suppose -2*v - 13 = -19. Solve j + x = -v*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/7 + 3608*a**4 - 212613426*a**3\/7 + 596522385376*a**2\/7 + 596735024059*a\/7.\nAnswer: -a*(a - 8419)**3*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -576137 - 123.564?\nAnswer: -576260.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 26\/6937, -0.2, 0.43, 3\/2, -3\/4, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 4*m**3 - 5*m**3 - 2*m + m. Let y(b) = 4*b**3 + 6*b**2 - 2*b - 2. Let u(s) = -5*q(s) - y(s). Determine u(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9865*x**3 - x**2 + x + 2. Is y(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35313.93855 rounded to the nearest integer?\nAnswer: 35314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2490 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -20*l + 2. Calculate the remainder when 148 is divided by z(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 16. Suppose 4*f = 85 + 39. Let a = -20 + f. Give s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17769, 29060, 40351, 51642, 62933?\nAnswer: 74224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18747087 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -43393, 654?\nAnswer: -43393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:24 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 - 4\/3*h - 2\/3*h**4 + 0*h**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*o = -o + 8, 5*o + 12 = g. Let v = 8 + -4. Suppose -j - v*j - 3*i + 12 = 0, 5*j = -i + 4. Solve -3*d + 9 = g*b - b, 5*b - 5*d - 5 = j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -6, 3, 0.1, 436\/9, 65 in increasing order.\nAnswer: -6, -5, 0.1, 1, 3, 436\/9, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2 + 0)*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (14 + -2)) + (-14 - (-8 - -2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -141839*x. Let k(n) = -23*n**2. Determine k(l(j)).\nAnswer: -462720944183*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7 = 5*l, 0 = -3*p + 5*p + 2. Suppose -l*v - 96 = -8*v. What is the lowest common multiple of v and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83723766.\nAnswer: 2, 3, 7, 19, 104917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from xxxmmxcnnn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f**4 + 3604*f**3 + 6944*f**2 - 816*f = 0. Calculate f.\nAnswer: -2, 0, 1\/9, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Suppose c - 6 = 4*c - 5*p, 3*p - 9 = 0. Let k(g) = c - g**2 - 8 - g + 13*g. Let w(y) = k(y) - 6*o(y). Give w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-5))\/9)\/((-119)\/1428).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s*t - 226*s - 49*t + 16 wrt s?\nAnswer: -t - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*s*y - 2*m*s + 12*m*y**2 + 215*s - y wrt y.\nAnswer: -m*s + 24*m*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 31*o - 6*o.\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*f - 4 = 0, 1 = 3*i - 0*i + 4*f. Let d(r) = -8*r - 4. Let b(n) = -8*n - 3. Let u(z) = -6*b(z) + 5*d(z). Let o(x) = x. Determine i*u(k) + 10*o(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - j + j + (0*j**2 - j**2 - 2*j**2)*(-2*j**2 + j**2 + 0*j**2) - 26*j**4 + 8*j**4 + 16*j**4 + 12*j.\nAnswer: 2*j**4 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stttttststtijtt. What is prob of sequence ijsi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9457 and 6606583?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 808 + -807. Let q(r) = -3*r**3 - 4*r + 3. Determine q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218010543 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-25 + -7)*1. What is the first derivative of 3 + 6 - b*k - 79*k + 62 wrt k?\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-5) + 2\/(-5). Let x be 0*(r - 12\/9). Solve 3*w + w = x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9976 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 353895239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14973 = 459*h - 1172*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9396 divided by 3?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from lds?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48204051901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1430, -4893, -10390, -17927, -27510, -39145?\n\"Answer: -d**3 - 1011*d**2 - 423*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1986*v**4 + 931*v - 11345892.\nAnswer: -7944*v**3 + 931","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x + 28*x + 47*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 19 - 28. Let x(r) = -2*r - 10. Let h be x(f). Suppose 3*p + 40 = 7*p. Solve -p*y = -h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from fmbro.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2*r + 4*x, -3*r + 10 = -x. Suppose 5*y + 10 = -r*z, 5*z + 4 + 14 = -y. Let m(o) = y*o - o + 0*o. Let d(w) = -w**2. Give m(d(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 24 - 57)*(-29*q**3 + 18*q**3 - 25*q**3).\nAnswer: 2304*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*l - 1717 = 1670, -3*q = 2*l - 3387. List the prime factors of q.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.6, -0.5, 5, -628, 0 in descending order.\nAnswer: 5, 0, -0.5, -11.6, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + 47688\/(-32). Is (-66)\/(-55)*j\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3987 + 3798. What is the least common multiple of n and 96?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34576136?\nAnswer: 2, 7, 479, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 8*t**2 - 2*t - 11. Let b be y(-8). Suppose 0 = -5*k + b, -87 = -2*z - k - 0*k. Calculate the highest common factor of 43 and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(77)*1)\/sqrt(11)*5.\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/20176 and 57\/88.\nAnswer: 221936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r, -4*r = 4*x + r - 91. Let u be (((-217)\/186)\/(-7)*16)\/(1 + -3). Let q = 3.1 - 3. What is the nearest to q in 1\/7, x, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152088, -305503, -458918, -612333, -765748, -919163?\nAnswer: -1072578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -150, -19798 in decreasing order.\nAnswer: -31, -150, -19798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 43.94232?\nAnswer: -37.94232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxnx when four letters picked without replacement from xniiniinixxnxxnnniii.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:06 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50c - 0?\nAnswer: 50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67635 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5156678 rounded to 3 decimal places?\nAnswer: -4.516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - g + 4, -3*g = 3*a - g + 20. Let b = 0 - a. Let u be (0 - (-2 - -2))\/1. Solve d - 11 = -u*m - 2*m, -b*m = -20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*w - 7. Differentiate -j**4 - 2 + 0 - 2*j**4 + 6*j**w wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82485, -164975, -247465, -329955?\n\"Answer: -82490*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -293 + 295. Let v = -16 - -20. Let d = v - 2.9. Which is the third smallest value? (a) -1\/7 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/50*1\/((-8)\/((-56)\/(-7)))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8eb20 (base 15) to base 16\nAnswer: -6f063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1709 at least -15392\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.1. Let t = -63 - -569\/9. Let m be ((-2)\/4)\/(14\/8). What is the closest to t in -5, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5))\/y**2)**4 assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*i - 369 = 2*y + 153, -5*i - 18 = 4*y for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(180) + 1)*5 + 1 + sqrt(180) + 0 + -4)**2.\nAnswer: 11484*sqrt(5) + 152469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 4838 + 10403 = 331*m - 10528 for m.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-5 - (-8 + -2 + 7)). Does -1\/646 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 26, 51?\n\"Answer: 25*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*w + 104*w + 2639*w**2 + 1781*w**2 to o*w**2 + h + t*w and give o.\nAnswer: 4420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 30167 = 3*i + 2*i, -3*k - 22624 = 5*i. Let s = k - -1043. Round s to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22694719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5810, -4, 3.\nAnswer: -5810, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(11 + -10) + 16)*(8\/(-32))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*b - 406 = 0, -4*b = -5*j - 99 + 2141. Suppose -5*z + 1704 = -2*v + j, 3*z - 4*v = 782. Suppose i - z = -i. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132626904 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 26 (c) 0.11 (d) -12.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7582 - -121257\/16. Calculate the common denominator of y and -109\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4610.9 - -4611. Which is the closest to 1? (a) -3 (b) w (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4965083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -11330.\nAnswer: -39\/11330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 11*h + 26. Give x(-12).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + 3. Let a = h - 40.99999923. Round a to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 512932*d**3 - 18*d**2 - 560 wrt d.\nAnswer: 3077592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 25 = 2*t, 22 = -2*w + 2*t + 2. List the prime factors of 126\/5 - (-1)\/w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126070, -126076, -126082, -126088, -126094, -126100?\nAnswer: -126106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 14*w**2 + 19*w + 61. Let m be t(-15). Is -4 + (m - ((-1265)\/5 + -2)) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 - (-2 + 1) - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.9 and 37802.\nAnswer: -260833.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.05 * -1.898\nAnswer: 1.9929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607114124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 + 4*l**4 - 2*l**4 + (-l + 5*l + 2*l)*(3*l**3 - 4*l**3 + 7*l**3))*(-9 + 14 + 10).\nAnswer: 570*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -100202210?\nAnswer: -100202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*l - 4 - 20*l - 21*l)*(6*l + 5*l**2 - 6*l) - 2*l**3 + 5*l**3 - 2*l**3 as n + t*l + i*l**3 + c*l**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/48 and 14\/717.\nAnswer: 11472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220273455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1 + 5\/(-4)). Let k be (-6 + (-1183)\/(-195))*-3. Which is the fourth smallest value? (a) k (b) s (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -587268, -587264, -587260?\n\"Answer: 4*l - 587272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1 + (3 - 3)). Let u be ((-3)\/2)\/(c\/2). Is u - (-95)\/(-2)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142191, 284383, 426575, 568767, 710959, 853151?\nAnswer: 995343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 16) to base 6\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + u. Let m = -96 + 94. Let l(v) = -3*v**2 + 1. Calculate m*k(d) + l(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.000215 - 9. What is h rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 112. Let f(t) = 4*t - 84. Let p(n) = -4*f(n) - 3*w(n). Let a(b) = 1364*b + 4. Calculate p(a(c)).\nAnswer: -1364*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -2, 1.\nAnswer: -2, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -25226*b - 4111843. Determine h(-163).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/330 - 59*r**4\/132 + 58*r**3\/33 - 55*r**2 - r. Solve m(c) = 0 for c.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 18)*(-4)\/(8\/3). Suppose 27*z = n*z - 576. Is z less than or equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 13 + 5 - 20 + 9 - 24 - 23*s.\nAnswer: -23*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 339. Let h = -252 + d. Let t(w) = 33*w**3 + w**2 + w - 1. Calculate the remainder when h is divided by t(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)\/b**(-2\/13))**24\/(b**(-5)*(b**(-2\/3)\/b)\/b)**(-16) assuming b is positive.\nAnswer: b**(-6044\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(13 + 65 + 50)*(7 - 7 - 3*m).\nAnswer: 384*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.3, 80534, 0.1, 0 in decreasing order.\nAnswer: 80534, 3\/8, 0.1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 784*b**3\/5 + 8692656*b**2\/5 + 24173154468*b\/5 + 432304932168\/5.\nAnswer: 4*(b + 18)*(14*b + 77487)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -31?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 19*w**2 - 10*w + 31. Let l be p(-7). Let k = -17 - l. List the prime factors of k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**5 + 311*z**3 - 8064*z?\nAnswer: -20*z**3 + 1866*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = -0*b. What is the least common multiple of b and (-6)\/(-9) - (392\/(-24) + -7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from osooros?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 15, d: 5}. What is prob of picking 2 r and 1 d?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32138, -128569, -289276, -514253, -803494, -1156993?\n\"Answer: q**3 - 32144*q**2 - 6*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 - 21*w + 33*w**2 + 18*w + 8. Let n be k(2). Let x be 1240\/28 + 6\/(-21). What is the highest common factor of x and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 15*i**2 + 2*i + 27. Determine l(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, 6, 53.07, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 4*g)*((-28*g - 36*g + 105*g)*(g - 2*g + 0*g) + 2*g**2 - 4*g**2 + 3*g**2 + (-3 + 1 + 0)*(0*g**2 + 0*g**2 + 2*g**2)).\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/6))\/q*q\/((q*q*q**(-1\/3)\/q*q)\/q)*q assuming q is positive.\nAnswer: q**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 11*l**2 + 13*l - 43. Is d(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 5. Let b = -14 - -9. Let p be x(b). Solve -d - d - 8 = p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1155, -1154, -1153, -1152, -1151?\n\"Answer: w - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1876 and -137\/402.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2588680.\nAnswer: -3\/2588680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x + 74. Let y(h) = -78*h + 2. Calculate y(d(v)).\nAnswer: -468*v - 5770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 638 - 265407\/416. Which is the second smallest value? (a) v (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -49. Let r = l - -16.9. What is r rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141\/8654 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 9:22 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155370 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1065 and 1704.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199889\/288 + -11111\/16. Calculate the common denominator of 139\/270 and x.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q + 6019 = 16643. Solve -8*r = 324 - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9945324 divided by -4?\nAnswer: 2486331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 47*c + 398186 = 44*c, -5*n + 5*c = -995445. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s + 1. Let d(r) = 21*r + 1. What is -3*d(x) + 5*z(x)?\nAnswer: -8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126.7 - -127. What is the biggest value in -0.2, n, 0, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138213, -276430, -414657, -552894, -691141, -829398?\nAnswer: -967665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 10. Let a = k + -22. Let g = a - -13.000052. What is g rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*l + 7. Let s = 26 - 21. Suppose l*g + 5*m = 64, 24 = 4*g - s*m - 0. 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 the remainder when 163822668 is divided by 1800249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 - 0.1. Let k = g + -0.03. Which is the third biggest value? (a) k (b) 1\/4 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*d + 14, 3*h + 128 = -5*d + 138 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1213*g. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 9*x + 60 = -13*x. Sort x, 1, 5, -1\/8, 0.04.\nAnswer: x, -1\/8, 0.04, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/((((k\/((k\/(k**(-9)*k))\/k))\/k)\/k)\/k)))\/(k\/((k**(-6)\/k)\/k*k)))**(-1\/5)*((((k*k\/(k*k**(-2\/7)*k))\/k*k*k)\/k)**(6\/7))**(-16) assuming k is positive.\nAnswer: k**(-29\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 5*x**2 - 3*x**2)*(x**2 - 5*x**2 + 3*x**2) + 2453*x**3 - 2453*x**3 + 1342*x**4.\nAnswer: 1341*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-5)*q*q)\/(q*q**3*q*q*q)*(q*(q*q**(-2\/7))\/q)\/q*q\/(q**(-7)*q) assuming q is positive.\nAnswer: q**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2506.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 2*b**3 + 2*b**3)*(-14537 + 6457 + 5480).\nAnswer: -7800*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014 a factor of 144041081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-10)\/v))\/(v\/v**8*v))**(-10\/13) assuming v is positive.\nAnswer: v**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -253 - -298. Let z = 597 - 418. Calculate the remainder when z is divided by (-183)\/(-15) + (5 - 234\/t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27273, 26995, 26695, 26379, 26053, 25723, 25395?\nAnswer: 25075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 - 59146029*u**4 + 488919632*u?\nAnswer: 40*u**3 - 709752348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7 = -3, -2*m + 26 = -2*x. Calculate the greatest common factor of m and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331, -7, -156.\nAnswer: -156, -7, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, s: 1}. What is prob of sequence gs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -4. What are the prime factors of (-27)\/v - (-1 + 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 54694?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30825, -61631, -92425, -123201, -153953?\nAnswer: -184675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 7*w**2 + 10*w - 25. Give k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32402787, -32402786, -32402785?\nAnswer: -32402784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*f + f - 6 + 6 to the form s + i*f and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (479 + 1)*(-120)\/(-100) + -4. Let x = 619 - j. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19497 (base 14) to base 5\nAnswer: -4022104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 13) to base 9.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/3 + 18*r**5 + 93*r**4\/2 + 94*r**3\/3 - 3007. What is k in d(k) = 0?\nAnswer: -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6) + ((-102)\/6 - -13) - 6?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.6, -2\/25, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + -5 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1919 + 1995. Calculate the remainder when 229 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5372442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24260188*j**2 - 28013712*j wrt j?\nAnswer: 48520376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.55323 millimeters to meters.\nAnswer: 0.03055323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1 - 3)\/(45\/(-90)). Solve 12*q = 11*q + z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**3 - x**2 - 2*x - 71. Give u(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247634 times -37?\nAnswer: 9162458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 less than or equal to 7655\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -839*j**4 + 38*j**3 + 1486*j**2 wrt j?\nAnswer: -20136*j + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {c: 2, p: 6, j: 1, i: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 126360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4986654 and 0.3.\nAnswer: 4986654.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 35, 91, 169, 269?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -42*z. Let k(u) = -14*u. Let l(i) = 7*k(i) - 2*v(i). Let q(d) = -d**2. What is q(l(o))?\nAnswer: -196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c**2 + 4874*c + 419036. Let r(j) = 2*j**2 + 696*j + 59862. Let o(d) = -15*r(d) + 2*v(d). Factor o(b).\nAnswer: -2*(b + 173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261 + 260.99999674. Round q to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (51\/6)\/((-2)\/(0 - 4)). Suppose n*h - 5*h = 492. Let l = h - 22. What is the remainder when 73 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 26. Let r(k) be the first derivative of 0*k**2 + 2\/3*k**3 - 2*k - p. What is the derivative of r(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79683 * -4.\nAnswer: 318732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2079 + -1818. Let a be ((-8)\/(-12))\/((-4)\/(-18)). Suppose v - 116 = -a*v. Calculate the highest common factor of v and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = u - 2*y, -17*u + 11*u + 11*u = -4*y - 48 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-47)\/15 - (-2)\/15 - 51. Let d = u - -94. What is the highest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 13 = -4*k, -3*y = -3*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + j = -14, 5*t - 189 + 145 = -4*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -1 - ((4 - 1) + 15 + -15 - 12)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**(-6)*v)*v**(-4)\/v*v**(-4)\/(v*v\/(v*v*v*v*v\/(v*v**(-2)))) assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*j - 7*j - 396 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((5 + -1*sqrt(1216)*-6)*1 + -2)*-6)**2.\nAnswer: 41472*sqrt(19) + 6305040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -4*o**3\/3 + 30*o**2 - 56*o + 32. Factor t(d).\nAnswer: -4*(d - 14)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 1731*r**3 + 2*r**2 + 237408*r wrt r.\nAnswer: 12*r**2 - 10386*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -32.85 (b) -184 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 160*j**2 + j + 1. Let b be h(-2). Let t = -311 + b. Does 16 divide 2\/10 - t\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -442.105288 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120237, 240501, 360793, 481113?\n\"Answer: 14*q**2 + 120222*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 5) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003606479 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415, -413, -411, -409, -407, -405?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**3\/6 - 340*z**2. Let q(o) = o. Determine -2*q(r) - 3*v(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 15*g**2 + 5. Let u be w(-15). Suppose -u*v = 9 + 16. Let f = 8 + v. Calculate the remainder when f is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*w + 5 = 0, -14*w = 2*y - 13*w - 3. Let p(c) = 14*c**2 + 24*c + 8. Let z(h) = h**3 - h + 1. Let k(l) = y*z(l) + p(l). Factor k(x).\nAnswer: 2*(x + 1)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43267*i = 43056*i - 1079 - 1242 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-28))\/(15\/(-20))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.873042 and 0.1.\nAnswer: -0.2873042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from oeogbeeeoooogobogeoo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 > 757682\/327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 + -5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 10 - (10 + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 772519.5ml to litres.\nAnswer: 772.5195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvu when three letters picked without replacement from ayzayzzvzuvzezeezezv?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2175\/195 + -9 - (-2)\/(-13). Let o(q) be the second derivative of -c*q**2 - 13\/6*q**4 + 0*q**3 + 0 - 12*q. Differentiate o(b) wrt b.\nAnswer: -52*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 350 (b) 0.2 (c) -476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/98)\/(288\/(-840))*(-8)\/10\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*q - 297*q + 105*q + 104*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/76650 and 17\/10120428?\nAnswer: 1771074900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -414119 (b) -0.4 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -105280*y + 105413*y - 165 - 216 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507553 (base 15) to base 14.\nAnswer: 716a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dfkipdddkd?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15166212407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102032 - -11?\nAnswer: 102103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - g + 138541, 4*g = 487*y - 490*y + 103922. Is 41 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = q - 4 - 4, 4*q - c - 37 = 0. Let g be -4*57\/(-36) + (-3)\/q. Solve 2*d = 14 - g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -9, -55, -153, -321, -577?\n\"Answer: -3*j**3 + j**2 + 6*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341 (base 11) in base 2?\nAnswer: -11011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/731964 and 19\/19488.\nAnswer: 1188709536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 25*o**2 + 5*o - 5. Determine h(-25).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 348?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3+-1186160.4\nAnswer: -1186163.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 - (-10)\/6. Let f(i) = s*i + 2*i + 0*i. Let o(t) = -8*t**2 + 6. Let y(w) = -w**2 + 1. Let m(v) = o(v) - 6*y(v). Give f(m(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2615283 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) -80\/11 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173464912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - (-3)\/2. What is the third derivative of -2*f**2 + 2*f**2 - d*f**4 + 2*f**2 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 - -58c9?\nAnswer: 5895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -30. Let l = 1145.99 + -1146. Which is the third smallest value? (a) -1\/2 (b) -3\/2 (c) z (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = z - 6*z. Let q(d) = 7*d + 11. Let u(a) = 6*a + 13. Let c(t) = -3*q(t) + 4*u(t). Let k be c(-4). Sort -2, z, k in increasing order.\nAnswer: z, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000562581 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2327, 2287, 2171, 1943, 1567, 1007, 227?\n\"Answer: -6*z**3 - 2*z**2 + 8*z + 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 102 = n, 7*n - 3*n + 229 = 5*y. What is the greatest common divisor of y and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - (1*sqrt(1620) - sqrt(1620))*-1 - 1*sqrt(1620)*-4)\/(1*(sqrt(576) - sqrt(576)*2) - (sqrt(576) + 6*-2*sqrt(576))))**2.\nAnswer: 45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -d - 2*n - 9, 0 = -2*d - 5*n - 9. Sort -3, -2, d, -6 in increasing order.\nAnswer: -6, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 + 4*m**2 - 7. Let r(h) = -9 + 5 + 2 + 2*h**2 - 2 - 4*h**3 + 6*h**3. What is 7*r(y) - 4*w(y)?\nAnswer: 2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 4*i + 25. Let a = -12 - i. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v - 6. Let s = v + 10. Let h = s - -6. Let u(j) = -2*j + 6. Calculate u(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2072 (b) 1\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-34)\/(-3))\/(34\/459). Calculate the highest common factor of y and 867.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9919 or -9918?\nAnswer: -9919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*6\/(-702) - (-190)\/65. Solve -9\/2*d - 3\/4*d**4 - 3*d**n + 33\/4*d**2 + 0 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43.515 + -4617\nAnswer: -4660.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 at least as big as 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547413?\nAnswer: 3, 182471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10200 divided by 2.\nAnswer: -5100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613*g + 629*g - 144 = 0. What is the least common multiple of 200 and g?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 4*r + 5. Let t be b(-4). Suppose 2*x - 14 = 4*p, t*x = -3*p - 1 + 101. Suppose 5*h - 8 = x. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (11 - 4)) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663963 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: 9163 divided by 833\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 35991854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -390123.8 rounded to the nearest one thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.04 (b) -1 (c) 11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 11) in base 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 805 - 805. Suppose -24*q + 353 + 127 = c. Solve -3*t + q = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwum when four letters picked without replacement from {u: 1, v: 2, m: 3, w: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*1)\/sqrt(3).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**1*(l*l\/l**22)\/l*(l\/l**22)\/l**1 assuming l is positive.\nAnswer: l**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 + 2.6. Let r = -0.67 - v. Let o = 1.63 - r. Which is the third smallest value? (a) 3\/4 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Let c = -15 + 15. Suppose d = 5 - c. Let n(g) = d*g**2 + 1 - 1 + 0*g**2. Calculate u(n(w)).\nAnswer: 75*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18870, -23526, -28168, -32790, -37386, -41950?\n\"Answer: t**3 + t**2 - 4666*t - 14206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/15)\/(4\/(-51))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -2\/5 (b) 100 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1708\/3505 + 79\/701. Let t = 0.8 - 9.8. Which is the biggest value? (a) 1 (b) t (c) f (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, 23\/8, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 25*n**5 - 40*n**4 - 195*n**3 + 130*n**2 + 380*n + 120 = 0.\nAnswer: -2, -1, -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - 5*g - 8*g)*(-2*g + 0*g + 3*g + (g + g - 4*g)*(-7 + 4 + 5)) to l*g + s*g**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 15, -3 = -12*v + 13*v - q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/30)\/(4\/3). Let z be (4\/(-6))\/((-10)\/(-75)). Which is the biggest value? (a) t (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2015513480 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (5 + -10) - 1) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*s - 114 + 114 + (-1 - 1 + 0)*(3*s - 4*s + 2*s))*(4 + 1 - 4).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -381 or 269\/5?\nAnswer: 269\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145 - -330?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2544.3, -0.3, -1.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/132373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -30. Suppose -3*v + f + g + 5 = 0, -14 = -4*v - f. Is 29 a factor of (5 - 9\/2) + 346\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 + 9*k + 8. Suppose 5*t - 12*t = -2*t. Let y(c) = -172*c**3 + 4*c + 4 + t*c**2 + 0*c**2 + 170*c**3. Determine -4*o(z) + 9*y(z).\nAnswer: -2*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 - 37 = -6*i. Let o = i + 151. Sort o, 2, 0.2, -0.4 in increasing order.\nAnswer: -0.4, 0.2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46196660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 4*r + 35, -q + 67 = 5*r. Solve 0 = q*u - 50*u + i + 2, -3*u = -5*i + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53427475043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 5*b + 5*b - b - 2*b + 2*b + (-1 - 1 + 0)*(b - 3*b + 0*b) + 3*b - 3*b + 2*b - 3*b + 4*b + b in the form y + m*b and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-15))\/(14\/105). Solve x*y - y - t + 7 = 0, -5*t = -25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-272)\/(-6)*(-153)\/(-12))\/2 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 0. Suppose 2*f + d = 5*f. Let w(r) = -r**3 - 3*r**2 + 3*r + 4. Let p be w(-3). Put -1, f, p in ascending order.\nAnswer: p, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269963 - -136663. Round v to the nearest one thousand.\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t + 4. Suppose -5*s - 3 + 23 = 0. Determine b(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*h = -526*h - 18. Let b(a) = 0*a + 4 - 2 + 3*a - 2*a. Let u(n) = -n - 1. Let c(g) = h*u(g) - 3*b(g). Let k(y) = y**2. What is c(k(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109441?\nAnswer: 109441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 7*s**3 - 4 - 11*s**3 - 3*s**4 + 20*s**3 - 4*s**3 as y + j*s**4 + l*s + b*s**3 + z*s**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k - 320. Let p be f(32). Which is the second smallest value? (a) 2 (b) p (c) -8 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/904 and 87\/452?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x**2 + 68*x + 19. Determine r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - 9*b**2 - 16*b - 4. Let q be d(-4). Let l = q - 100. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -10 - 2, -3*d = -5*q - 29. Suppose 5*m + 165 = 4*h, -5*h + 2*m + 228 = d*m. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 7, 15, 37, 79, 147, 247, 385?\n\"Answer: d**3 - 2*d**2 - d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -111*b**3. What is the hundreds digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -10. Let l(s) = s**2 - 2*s - 68. Let c be l(9). Put -3, x, c in decreasing order.\nAnswer: x, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1049 by -33.\nAnswer: 1049\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(665\/(-38)) - ((3 - (-444)\/14) + -3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*j = 7*j + 15, 0 = 3*b + 5*j + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddkkkqkpkck. What is prob of picking 1 d and 1 q?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 12 = -2*f, -4*l = 3*f - 32 + 42 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 5.06. Suppose -6*v + 15 = -v. Suppose -2*i = -1 + v. Which is the nearest to i? (a) 2 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 3*k\/4 - 1\/2.\nAnswer: -(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6951 divided by 1.\nAnswer: 6951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h. Let a(s) = 2*s. Let b(p) = 21*a(p) - 5*t(p). Let g(v) = 6*v. Determine g(b(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7532\/(-1344) + (0 - (-2)\/(-8)) - (-5595)\/29840.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 8 - 3*u**2 - 1 - 8 + 22. Let y(x) = -16*x**2 + 11*x + 26. Give -33*m(v) + 6*y(v).\nAnswer: 3*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -5 - j + 3\/2*j**2 + 1\/3*j**3. Determine w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 19 = 19*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17 - 1424\/(-80))\/((-2)\/(-90)). Suppose d*l - 29026 = -8686. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78296 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(sqrt(931) + -4 + sqrt(931))**2.\nAnswer: -112*sqrt(19) + 3739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yml when three letters picked without replacement from {l: 2, s: 1, z: 1, n: 3, m: 3, y: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = 25*t + 416 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 + 1 = 0. Solve 3*m = -c*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 112*s**2 + 649*s + 1368. What is n(-106)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8349 is divided by 1640?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 19080 = -88248. Let q = w - 1072. Is q a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3114222 and 602.\nAnswer: -3113620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x = 21*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -483 - -485. Sort -0.06, x, 2\/11 in decreasing order.\nAnswer: x, 2\/11, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 112*u - 319. Calculate x(-5).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-275))\/((-8)\/80)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 2, -5, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08168 - 30.27168. Round j to 0 dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let t(g) = -5*g**2 - 7*g. Let p(s) = 2*f(s) - t(s). Solve p(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1022324.3188 to the nearest 10.\nAnswer: 1022320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/42 and -51\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966104 is divided by 24576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + 2. Let p be o(-2). Let b(i) = 4*i + 4. Let f(m) = 9*m + 9. Calculate p*b(h) - 6*f(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*w + 17*a**3 - 24*a**2 + 2*w wrt a.\nAnswer: -6*w + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/4)\/7 + 2\/8. Solve -5*t + 24 - 9 = -g, p = 3*t - 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7774 divided by -20126.\nAnswer: 3887\/10063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 8. Let a(w) be the third derivative of 1\/120*w**6 + 0*w**3 + 1\/12*w**5 + 11*w**2 + 1\/8*w**4 + 0 + 0*w. Determine a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**6\/120 - q**5\/20 + q**3\/6 + 4*q**2. What is the remainder when y(-4) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 9 - 1)*(8*z + 9 - 9) + 8*z + 22*z - 15*z.\nAnswer: 39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-148) + (-26)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -34, -0.5, -1\/4, 15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*c**4 - 338*c**4 - 595*c**4 + (-3*c**3 + 2*c**3 + 3*c**3)*(15 + 12*c - 15) as m*c**4 + p*c**3 + f + n*c + a*c**2 and give m.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 3*h = -4*h - 0*h + 215, -34*h + 36*h - 130 = 4*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b917 (base 16) in base 15?\nAnswer: e08d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (0 - -2 - (511 - 525)) + (-7 - 1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14528502 at most 14528502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j - 2 + 4*j**3 + 5*j**3 + 4 - 2*j**4 - 7*j**3 in the form g + f*j**2 + p*j**4 + o*j**3 + q*j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 29*w**2 + 268*w - 72. Give f(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 7) to base 16\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 18*u + 11. Let f be s(9). Let i = f - -87. What is the remainder when 30 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*h**2 - 309 - 2217*h**2 + 293.\nAnswer: -1634*h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -23*d + 126. What is the remainder when 134 is divided by l(4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2881 + 2877. Which is the second smallest value? (a) -0.4 (b) 6\/7 (c) k (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9.5 and -14186 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 8*t - 4. Let l be v(3). Solve l*r + 4 = -6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + s. Let p be (-4)\/(-6)*18\/12. Let h = p - -4. Solve -h*v + 1 + 19 = s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14290 - 14290 - 3345*g to j*g + i and give j.\nAnswer: -3345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/649 and -3\/19733848.\nAnswer: 217072328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 26. Let l = -8.47 - -12.34. Let i = -0.13 - l. What is the nearest to m in 3, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 = 0, 0 + 4 = -3*m - 2*j. Suppose x + 3*x + 4 = 0. Let f be -8 - -8 - 3*x. Solve m = 4*y - b, -f*b = -5*y + 4 + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5553 and 13336455.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68.1 + -76. Let r = -8 - z. Which is the nearest to r? (a) 0.4 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 3*j**2 + 4*j**2 + 1 - 2*j**2 - 1 + (0 - 3*j + 0)*(-3*j - 9*j - j).\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {l: 3, v: 3, t: 4, w: 3, k: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 61*b = 9. Suppose -3*o + 243991 = -2*s, -244009 = 2*s + 6*o - b*o. Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-10))\/(15\/(-30)). Let c be 9*l\/(-36) - 54\/40. Let a be (-1 - 0)*9*-1. Sort c, 1, a in descending order.\nAnswer: a, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 - 5*j + 5*j)*(-2*j**2 + j**2 - j**2) - 17*j**4 - 6060*j**3 + 6060*j**3 + 3 to n*j**3 + k + m*j + s*j**2 + a*j**4 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-164)\/36 + 3)\/(2\/(-18)). Let z be 1230\/v + (-51)\/(-357). Which is bigger: 87 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*w + 6949 = 27367. What is the nearest to 0.2 in w, 0, -0.24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -7. Let o(f) = 4*f**3 + 2*f**2 - f. Let s be o(w). Solve 0*c = -c + s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 - -659. Let p = a - 163. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d - 3. Suppose -47 = -4*w + d*r, r + 22 = 5*w - 42. What is the greatest common factor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 12 + (23 - -19)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 + q**4\/12 - 5*q**3\/6 - q**2. Suppose -3*s = -s - 8. Let f(k) = -k**2 - 2*k + 6. Calculate s*f(c) + 5*r(c).\nAnswer: c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-15)*s**23*s\/(s*s\/(s**(-2\/51)*s*s)*s*s)*s\/(s\/s**19)*s assuming s is positive.\nAnswer: s**(1426\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/49)\/t**(-1\/7) assuming t is positive.\nAnswer: t**(5\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8724)\/(-2181))\/(20\/(-13))*-25?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*9\/(90\/(-55))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 570826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121122102000111021 + 1?\nAnswer: -121122102000111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 6*i**2 - 3*i - 9. Let g be q(-6). Suppose 0 = -b + 3*x + g, 0 = b - 4*x - 8. Solve b = 3*n + n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + l - 2*l)*(3 - 4 - 1)*(-6*l + 8*l - 11*l) as s*l + q*l**2 + i and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*j + 5*j + 5*p, 28 = 3*j - 2*p. What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = 3*a + 12, -16 = 3*a + 5*b. Which is bigger: a or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 142\/280 - (-1)\/4. Let d = 69\/35 - l. Calculate the common denominator of d and 19\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*70\/(-833))\/((-713)\/4991)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + 3. Let j(r) = r - 24. Let i be j(23). What is the remainder when i*(-2 + 5 + 2 - 50) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 3*f**2 - 16*f - 12.\nAnswer: (f - 6)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (12 + (5 - 19) - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 385 + -243. What are the prime factors of a?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4233 - -322300043?\nAnswer: 322240310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*x - 197455 = -35*x. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 173, 651, 0.\nAnswer: 0, 3, 173, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 99*y - 727. Calculate l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 2:46 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*(-60)\/(-1365))\/((-4)\/(-182))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7503+-0.2\nAnswer: 7502.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yusuyn. Give prob of sequence sun.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*15454.\nAnswer: 479074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 + 52 - -115) + -101.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 43359939?\nAnswer: 43359939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8583 divided by 8583.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64890 is divided by 5405?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24 = -2*i, 2*i + o - 21 + 13 = 0. Solve 12 = -5*l + i*l, 3*x = -2*l - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - w - 35, 3*g - 28 = 2*w. Suppose -7*t = -t - g. Suppose -52*y + 47*y + 15 = 0. What is the closest to -0.1 in -5, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467224182 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0 + 0)*(-n + 2*n + n) + 36*n**2 - 4 - 69*n**2 + 35*n**2.\nAnswer: -4*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1407324425.9 + -0.03.\nAnswer: -1407324425.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8415 and 1675996?\nAnswer: 829618020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 460724533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/48*(-4)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 28. Suppose -k*t + 45 = -0*t. What is the lowest common multiple of 7 and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8842 (base 9) in base 4?\nAnswer: 1211312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - -25 - (-4 + 7 + 7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1668, 1678, 1706, 1758, 1840, 1958, 2118?\n\"Answer: k**3 + 3*k**2 - 6*k + 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 + o. Suppose -4*f = j - 23, f - 4*j - 26 = 1. Let i = -175 + 177. Let a(x) = -16*x**2 - 4*x + 1. Give f*v(c) + i*a(c).\nAnswer: 3*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, 5, 0.6?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 315 + -315. Solve y*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*((-81)\/567)\/(16\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*q + 3*q. Suppose -f + 6 = -q*p, -p = -7*f + 2*f + 30. Suppose -2*h = h + f. Put h, 0, 1 in ascending order.\nAnswer: h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 860 - 796. Solve 0 = 6*q - u + 58 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 51, 9\/2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 376 = -2*d - 3*d, -3*c + 2*d = -602. Is 33 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20645715 and 1206?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 2, i: 7, y: 8}. Give prob of sequence mmf.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8425 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 27*w - 13*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(17) - sqrt(68)\/sqrt(4)*-5)**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 - 3 = 0. Let x = v + -7. What is the units digit of (7 - 8)*(x + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 2*z**2 - 4*z + 3. Calculate a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 25*o**2 - 134*o + 28. Let w be h(-17). What is the closest to 6\/13 in 0.5, w, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 = -0*c + 3*r, r + 6 = c. Let o = 4 - c. Suppose 5*v + 27 = -4*k, 18 - 5 = 3*k - v. Solve -k*b = -4*a + 10, -2*a - o*b = -b - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -8\/53, 136.5, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:07 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 37*o**2 + 7*o - 281. Determine c(37).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110042 times 23.09?\nAnswer: 2540869.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/4*108\/(-30). Let u be -156*(33\/s - 3). Let h = 59 - u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -4, -3\/91?\nAnswer: -3\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 42*f**2 - 19*f - 17. What is the remainder when 349 is divided by c(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/303, -3, 6, 4, 15?\nAnswer: 2\/303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/7 - 332*p**4\/7 + 15980*p**3\/7 - 169536*p**2\/7 - 388350*p\/7 - 202500\/7 = 0. Calculate p.\nAnswer: -1, 18, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, -599, 4, 5 in descending order.\nAnswer: 5, 4, 3, -13, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 421*m + 34107. Calculate x(-81).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-50))\/((-11139)\/148520).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5575663 is divided by 4658.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 54 = -18*m. Find the common denominator of ((-2)\/(-30))\/(2\/m) and 109\/182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -20 - 24 + a**3 + 7*a**2 - 46*a + 32. Let s be w(-11). Solve -j - 27 = -s*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7493021 is divided by 25661.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2. Let r(n) = -n**2. Suppose z - 15 - 37 = 0. Let m = z - 23. Let d = 20 - m. Give d*r(i) - 4*s(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l - 2. Is v(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 86213844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 2*b**2 - 1\/9*b**3 + 2*b + 0 - 1\/144*b**4 + 1\/45*b**5 - 1\/315*b**7 - 1\/2016*b**8 + 1\/360*b**6. Solve i(c) = 0 for c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66464, 66468, 66472?\n\"Answer: 4*n + 66460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 + 0*h**2)*(2*h**2 - 5*h**2 - h**2) - 5*h**4 + 17 - 19 + 20*h**4.\nAnswer: 11*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-18)\/(-4). Suppose -7 = 5*j + 4*u, d*j + 2*u + 3 = 1. Let i = 34\/33 + -964\/957. Does i = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -467221.\nAnswer: -5606652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**3 + s**2 + s - 2. Let y be h(-2). Let x be ((-2)\/4)\/(-3*8\/96). Suppose -x*i = -y + 10. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -73. Suppose 0*u - 3 = u. What is the second smallest value in u, q, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 27*b - 210. Determine q(-16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 6, -54, -168, -354?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -623, -637, -665, -713, -787?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 - 0.04. Let y be (-45)\/130 + (-1)\/(-2). Which is the biggest value? (a) 1\/5 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 104 = -2*z, z - 5*z - 208 = 2*k. What is the remainder when (5 + -8)*1 - (-37 - 2) is divided by (338\/z)\/(1\/(-2) + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130020303 (base 4) to base 6\nAnswer: -2245323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = s + 2*s + 9, -1 = q + 3*s. Let y be 5\/q + 4\/16. Let z be (-20)\/12 - (-3)\/(-9). Put z, 2, y in decreasing order.\nAnswer: 2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3610*f**2 + 5222?\nAnswer: 7220*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 49. Suppose 0 = z*r + 14 - 32. Is ((-2302)\/r)\/(2\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 - 10 = 0. Let c(m) = 4*m**3 - m**2 + 2*m - 1. Suppose 2*w = 5*w + 3*b + 6, 4*b + 12 = 0. Let g be c(w). Solve 9 + l = -g*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -537, 18, -13, -1 in ascending order.\nAnswer: -537, -13, -2, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8580 and 2145.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1 - 71\/20*w**5 + w - 1\/12*w**4 + 57\/2*w**2 + 0*w**3. What is the third derivative of g(o) wrt o?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y**4 - 168*y**3 + 152*y**2 - 3*y + 12. Let c(z) = 2*z**2 + z - 4. Let q(o) = b(o) + 3*c(o). Factor q(a).\nAnswer: 2*a**2*(a - 1)*(5*a - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -6)*(-130)\/25. Let b = v + 37. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 943.8751 micrograms?\nAnswer: 0.0009438751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/12 - (-29856)\/(-4032))\/(792\/(-14)) and 14\/3.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 576\/(-72)*2\/(6\/(-3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2. Suppose -5*k + 2*l + 25 = 0, 0 = 3*k - 3*l + 2 - 26. Let q(r) = -k*r - 2*r + r. Let p(i) = -i. Let m(n) = -3*p(n) + q(n). Give m(w(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2. Let w be ((-2)\/7)\/(2\/(-14)). Let z(v) = 3 - 3 - 10*v**w. What is c(z(r))?\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46525 or 46529?\nAnswer: 46529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 1049*x**2 - 1050*x**2 + 2100*x**2 + (x + 3*x - 2*x)*(-5*x + 3*x + 0*x) to l*x**2 + m + f*x and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 3d?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 2, u: 4, e: 1, z: 2}. What is prob of sequence ujeu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 231217 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36192 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7 - b + 0 + 0. Let a be 3 + (44\/8 + -6)*0. Let g be l(a). Solve 4*v = -0 - g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -19*s**2 - 46*s - 43. Let r(y) = 11*y**2 + 26*y + 21. Let v(i) = -3*d(i) - 5*r(i). Let u = -6 + -1. What is the units digit of v(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2789*z + 12978 = -3659 - 8464 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + 2.02. Let s = y - 2.1. Let g = 1481\/2043 - 215\/227. Which is the third biggest value? (a) -1\/4 (b) -0.5 (c) s (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2222267498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -3. Suppose -2*b + t*k = -31, -k = b - 0*k - 23. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - a. Let n = -10 + 10. Let s be x(n). Solve 4*m - 1 + 17 = s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let s = 24 + -25.04. Let x = 1.14 + s. Which is the biggest value? (a) x (b) q (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7033.47 minutes?\nAnswer: 422008200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - -177. Suppose -3*u + 23 = -2*m, 5*u - 4*m + 58 = 99. Let g(f) = 7*f**2 - 9*f + 24. What is the remainder when g(u) is divided by q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100001000110100101111010 + 0?\nAnswer: 111100001000110100101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5367 + 23?\nAnswer: -5344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23657 and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19853.57 + 296863.\nAnswer: 277009.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**8\/z)\/z)*z)\/(z**(-3\/5)*z))\/(z**(-1\/13)\/z**(1\/6))*(z*z**(4\/7)*(z*(z\/(z**(-14)\/z))\/z*z)\/z*z)**(-21) assuming z is positive.\nAnswer: z**(-153721\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 32544450\nAnswer: -9763335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2624 is divided by 2499.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/42*(-504)\/(-48)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:59 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7315 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6367, -50997, -172139, -408049, -796983, -1377197, -2186947?\n\"Answer: -6376*m**3 + 2*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrcr when four letters picked without replacement from {r: 7, c: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 67. Which is the third biggest value? (a) 4\/3 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2200 divided by 440.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huu when three letters picked without replacement from {h: 14, u: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i + 3. Let j(y) = y**2 + 6*y + 7. Let v be j(-5). Let h(w) = 2*w**2 - 2*w. Let d be h(v). Let b(f) = -3*f - 1. What is d*a(q) + 10*b(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -de - -5?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**3 - 20*h**2 - 16*h - 2. Let x(r) = 2*r**2 + 2*r + 1. Determine u(p) + 10*x(p).\nAnswer: -6*p**3 + 4*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/6174 and 101\/1062.\nAnswer: 364266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. What is the smallest value in t, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020323033 + 3?\nAnswer: 3020323102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -9*w + 15*w. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5455979 to the nearest integer?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -96*w**3 + 3*w**2 + 2*w. Let i be n(-1). Let a(u) = -u**3 + 12 + 104*u**2 - i*u**2 + 0*u - 10*u. Calculate the least common multiple of a(5) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(8\/2))\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/438? (a) 0.4 (b) 2 (c) -0.5 (d) 20.021 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**3 + 316*h**2 - 368*h - 14164. Give t(-35).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*b + 6*b**2 + 19*b)*(1 - 11*b + 27*b + 0*b).\nAnswer: 96*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -649 - -693. What is the remainder when 351 is divided by d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 times -49.912\nAnswer: -1996.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*4\/12 - (28 + -14).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24622185, 24622180, 24622171, 24622158, 24622141?\nAnswer: 24622120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.4, -1\/5, 2\/87, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -2*j**3\/3 + 6*j**2 - 42*j + 20. Let s(q) = q**3 + 14*q**2 + 12*q - 8. Let g be s(-13). What is z(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 466*n. Let v(b) = -22*b**2 - 3*b. Calculate k(v(j)).\nAnswer: -10252*j**2 - 1398*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-126)*((-21120)\/220)\/(-192)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 254*z**2 - 2 - 249*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16081 + -660072.8.\nAnswer: -660072.96081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.011, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9643 + 2*s - 9643.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 190.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/27*(-3)\/(-14)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 13964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24642, 24643, 24644, 24645, 24646, 24647?\n\"Answer: r + 24641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14912 divided by -1.\nAnswer: -14912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -d0?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1904490 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2 + 0*i + 2*i - 3. Let j be (-4 + 1)\/(5 - (-92)\/(-16)). What is t(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -102968 (b) 1\/3 (c) 1.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (312\/40 + -7)*10\/4. Solve 10 + 2 = 4*n + w, u*n - 6 = -4*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 472071452?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 12*n**2 - 10*n. What is the hundreds digit of i(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -184*h + 2205. Let q be k(12). Let l(n) = 50*n**2 - 10*n - 14. Let w(u) = -10*u**2 + 2*u + 3. Give q*l(v) - 14*w(v).\nAnswer: -10*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + 8*s**2 - 21*s + 93. Calculate o(6).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2620*p - 406108. Determine q(155).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1146844 divided by 573422\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23320348 is divided by 172743?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 656.12 + -656.32. Let g = 5 - 9. What is the third smallest value in -1, y, -9, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3 + 300\/50.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 770*u**2 + 14557*u - 216282. What is h(751)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1855053 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46832 divided by -28.\nAnswer: -11708\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (28 - 4)\/3. Let l(n) = -2*n**3 - 2*n**2 + 1. Let q be l(-2). Let z = r + q. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:26 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i - 12. Let u(y) = -13*y + 48. Let x(t) = -9*j(t) - 2*u(t). Let s be x(9). Suppose s*v = -v. Which is the smallest value? (a) 1 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16497, 16492, 16495, 16512, 16549, 16612, 16707, 16840?\nAnswer: 17017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f**2 + 3*f - 1. Let v(a) = -a**2 + 1. Let w(o) = -c(o) + 2*v(o). Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -507 + 510. Suppose v = 4*x - 0*v - 6760, -2*x + m*v = -3380. What are the prime factors of x?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q + 14*q**3 - 4*q**2 + 8 - 15*q + 32*q - 34*q**3 to c*q + z*q**3 + r*q**2 + u and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*y + 4720 = 377*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 2 p when four letters picked without replacement from {i: 2, e: 4, r: 2, b: 1, j: 4, p: 5}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**2 + 21*j**2 + 2*j**2)*(j + 1 + 6*j**2 - 2*j**2 - 2*j**2).\nAnswer: 64*j**4 + 32*j**3 + 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - l + (-3 - 4 + 3)*(3*l + 3*l - l) + (-5*l - 6*l + 3*l)*(-1 - 3 - 7).\nAnswer: 67*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = 5. Let f be 4\/(-6) - (-2)\/g. Let u = f + -7\/12. Which is the third biggest value? (a) u (b) 2\/19 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1178 and 11633054?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 66. Suppose -4*j - b = -5. Suppose 0 = -4*f + 5*f + 5. Put f, 2, j in increasing order.\nAnswer: f, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (88 - 105) + 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 14, -0.04044?\nAnswer: -0.04044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.2. Let k = -439 - -636. Let l = k - 200. What is the closest to -5 in -2, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102200020 - 10?\nAnswer: -11102200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 + -197. What is the first derivative of 22 - 10 - 22*b**n - 75 wrt b?\nAnswer: -44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c + 14*c - 27*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63, -159, -325, -597, -1011, -1603, -2409?\n\"Answer: -6*i**3 + i**2 - 57*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 687069 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 143, 152, 161, 170?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (15 + 4) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + 3 + 0 + sqrt(153)))*5 - 5*(-1*sqrt(17) + sqrt(17))*-4*2.\nAnswer: -15*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458 - 458 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -251 + 644. Let j = o + -358. Is j >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**2 - 45*d**2 - 31*d**2 + 160*d**2 - 43*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -475*z + 7330. What is j(16)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 124*l + 22. Determine z(81).\nAnswer: -3461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 - 2*m. Let c(d) = -d**3 - d**2. Let r(u) = -2*c(u) - j(u). Factor r(i).\nAnswer: 2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1432 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-18))\/(105\/(-90))*12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppphpphppp. Give prob of sequence hph.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1340 = -4*j + 8*j, -1364 = -4*j + 4*v. Let g = j - 218. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000952 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(440) + sqrt(440)*-2))\/(4*sqrt(90) + sqrt(10)))\/(sqrt(2916)\/sqrt(9) + (sqrt(64) - sqrt(16))).\nAnswer: -6*sqrt(11)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -0.2, -73.\nAnswer: -73, -5, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/45)\/3*20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 4. Suppose -6*z + 2*z = -44. Let y(r) = r**2 + z*r**2 - 13*r**2. Calculate y(t(i)).\nAnswer: -9*i**2 - 24*i - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**2*z**3 - 86*m**2 - 55*m*z**3 - 3*z**3 - 30*z**2 wrt z?\nAnswer: 24*m**2 - 330*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 - 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*g**3 + 2*g - 60275*g**2 + 116 + 60275*g**2 wrt g?\nAnswer: 570*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/((-2)\/15). Suppose m*u = 4*u - 17. Suppose -k = u - 54. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*9.45\nAnswer: -4.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1106*c**2. Let t(f) = 5360*f. Give z(t(v)).\nAnswer: -31774937600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8637, 17326, 26081, 34902, 43789, 52742, 61761?\n\"Answer: 33*r**2 + 8590*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28453424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 699 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from wtwttjtttwttwtwttwwt.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 7733400*l**3 - 7733395*l**2.\nAnswer: -5*l**2*(l - 1546679)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/298533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 + 2*m + 8. Let l(t) = -t**3 - 36*t**2 + 39*t + 69. Let g be l(-37). What is q(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -32. Suppose x = -2*i + 10. Let 4\/11*b**2 + 2\/11*b**3 + i + 2\/11*b = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4883870170238 + 2.\nAnswer: -4883870170236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8669557189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 m when four letters picked without replacement from uwumwouucuuuoubbmbum.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -74?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -86, 1058613, -1\/5?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/7*21\/12. Let i be (-40)\/(-7) + 2\/n. Find the third derivative of -10*h**2 - h**i + 0*h**6 - 48*h**3 + 48*h**3 wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5295516 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12805 - 12778. Suppose n = -4*n + 175. Let l = 138 - n. Calculate the remainder when l is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + -4. Let j = 95 + s. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*l + 8 - 2, -6 = l + c. Let a = l + 37. What is the remainder when a is divided by (388 + -8)\/(-4)*((-666)\/(-45) - 15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*f = -2*f - 40, 3*f = -s + 24. Let u = 6 - -1. Let r = s - u. Solve p + d + 1 = 0, r*d + 12 = -13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1504 divided by -4\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*j + 11*j**4 + 137*j - 1 - 13*j**4 + j**3 - 167*j - j**2 + 2*j**2 as a*j + z*j**4 + v + f*j**2 + t*j**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/6 + 17*a**2\/2 + 15*a. Let p be n(-14). Suppose -5*m = -5, 2*u + 5*m - 530 = -p*u. Does 35 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503 + 163 + 170 + 170 - 451023*d**2.\nAnswer: -451023*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m\/((m*m**3*m)\/m*m)))*m**(-6)*(m**0)**35)**(-1\/12))**(2\/89) assuming m is positive.\nAnswer: m**(11\/534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {n: 1, a: 5, q: 11}?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108692557 is divided by 20454.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*g + 98*g = 0. Suppose 39 = 4*b + 5*y, 3*b - 2*y + 7*y - 33 = 0. Suppose 3*f = 6, -3*d + b*f = 2*f + 2. Solve -s + g = -d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s - 1 - 14*s + 4*s - s**2. Let k(z) be the second derivative of -z**3\/6 - z**2\/2 + 2*z. Let l(w) = 3*k(w) - t(w). Factor l(q).\nAnswer: (q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 9*i + 10. Let v be h(-8). Let a be -3 + 1 - (-28)\/v. Let b = a - 7. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -66. Let k = -0.01 + 0.07. Let o = -4.94 - k. Which is the third biggest value? (a) o (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/((w*w**(-2\/19))\/w))\/(w\/(w*(w**1\/w)\/w))**(-5\/7) assuming w is positive.\nAnswer: w**(774\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 19. Calculate k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 4187*j - 2. Let c(v) = 11*v**2. Calculate k(c(b)).\nAnswer: -121*b**4 + 46057*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -77. Let u be (-220)\/(-140) + a\/((-14)\/3). Suppose 5*r = -5*f + f + 22, -u*r + 13 = 3*f. Solve f*c + 4 = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven quarters of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, -1, -42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-40))\/((264\/180)\/(24\/(-162)*-1)).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, u: 4, y: 2, m: 2}. Give prob of sequence umym.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.4 less than 42866648?\nAnswer: 42866519.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 5*u**2 + 2*u - 12. Give b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -76, -2, 148?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 2*n**2 - 2*n**2. Let a(f) = 62*f - 64*f + 8*f. What is a(j(y))?\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 404, 41\/3, -3, -2.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 669*d**2 - 446*d. Let p(a) = 2*a**2 - a. Determine 446*p(j) - v(j).\nAnswer: 223*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24633332?\nAnswer: 2, 6158333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or 1345?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68099071.\nAnswer: 223, 305377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5222*y + 819853. Give h(-157).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 13) in base 8?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3243816*w**2 - 20300*w - 93.\nAnswer: 6487632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -1, 213?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1019361684 divided by -84946807.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264740304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 136184 (base 9) in base 13?\nAnswer: 2bb8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -439 - -446. Let m(n) be the third derivative of 0*n**4 + 0 - 1\/18*n**3 + 0*n - v*n**2 + 1\/180*n**5. Factor m(o).\nAnswer: (o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 7\/60*i**5 - 5\/24*i**4 + 4\/3*i**3 + 42*i**2 + 0*i + 0. Let k(n) = -5*n**2 - 8*n**2 - 15 + n + 8*n. What is 6*k(o) + 11*t(o)?\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -200. Calculate the remainder when y is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 36 = s - 5*m, 18 = 2*s - 4*m. Let q(a) = 2*a. Calculate the lowest common multiple of q(3) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l**3 - 38*l**3 - 49*l**3)*(-3*l + 2*l + 4*l).\nAnswer: -231*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7865.99998871 + -7866. Round y to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24618835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 30253.\nAnswer: 30254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 5, 0.08442?\nAnswer: 0.08442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -1\/8 (c) 0.01 (d) 1127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 490 (b) 4\/3 (c) -1\/5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256854166 to the power of 1\/3, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42671, -85337, -128003, -170669, -213335, -256001?\n\"Answer: -42666*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from kkddddkktddptdbpdtd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 34. Let u = -24 + w. Is -0.08 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*n**2 + 143*n + 1.\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*b**2 + 13*b**2 - 1 + 11*b**2 - 8*b**3 to the form a*b + s + c*b**2 + l*b**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 2*g**3 + g**4)*(-311736 - 311738 - 3179*g + 623472).\nAnswer: -3179*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 256299416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.46 + 0.46. Let a = -454 - -455. What is the closest to 0.4 in -1\/7, a, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*v**2 - 480*n*v**3 + 464*v**3 with respect to n.\nAnswer: 2*n*v**2 - 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a day in minutes?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(-3 + sqrt(162)) + (1*(sqrt(18) + -3) + -1)**2.\nAnswer: -42*sqrt(2) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-4)*m)\/m)\/(m*(m**(3\/8)*m*m)\/m))\/(m**(-2\/9)\/(m*m**(1\/5))))**19 assuming m is positive.\nAnswer: m**(-33877\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 1. Let h be u(-3). Suppose -c + 3*c + 3 = 3*y, 0 = c + 3*y - 12. Let p(t) = c*t**h - 2*t**2 + 0*t**2 + t - 2. Determine p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/15 and -46\/201?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 510\/(-16) - ((-57)\/(-8) + -7).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**8\/480 + 19*h**5\/120 + 19*h**4\/12 + 19*h. Let u(w) be the third derivative of m(w). Differentiate u(f) wrt f.\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d - 7 = -2*c, 1 = -c. What is the tens digit of (-168)\/d + (-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-45)\/7))\/(((-8)\/(-138))\/((-1348)\/(-7751)))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*d + 9 + 7 - 16 to the form a + r*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 w when three letters picked without replacement from wgegweegwweeee.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n - 3*n**2 + (0 + 2 - 3)*(8 - 2*n**2 - 8).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -1\/9 (b) -0.5 (c) 4\/63 (d) 3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 2*w - 1 - 119.\nAnswer: 2*w - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p + 0*p**3 + 0 + 2*p**2 - 1\/12*p**4. Let g be a(-2). Solve -4*i - g = 0, -2*b + 5*b = i + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 >= 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -45560 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459253 (base 11) to base 7.\nAnswer: 6126241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z + 52. What is r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -9*d**3\/8 + 87*d**2\/4 - 57*d - 48 = 0.\nAnswer: -2\/3, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 4:34 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56770 + 56770 - 682*a)*(-8*a**3 - 14*a**2 + 14*a**2).\nAnswer: 5456*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 + 6*k - 13*k + 5*k.\nAnswer: -2*k - 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45 (b) 0.5 (c) 3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**3 - 18*l**2 + 21*l - 9. Let y(s) = -11*s**3 + 36*s**2 - 44*s + 19. Let c(t) = 5*g(t) + 3*y(t). Factor c(n).\nAnswer: -3*(n - 4)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = n + j + 10 - 1, 28*j = 16*j + 36 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -4*i - 3033. Does 38 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1253809, 2507639, 3761471, 5015305?\n\"Answer: w**2 + 1253827*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*y**5\/13 - 192578*y**4\/13 + 337040*y**3\/13 + 96296*y**2\/13 = 0. Calculate y.\nAnswer: -24074, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*b**3 - 2*b**3 + 6*b**3)*(-14*b**2 - 18*b**2 + 7*b**2 + (0 + 2 - 1)*(-4*b**2 - 3*b**2 + 5*b**2)).\nAnswer: -648*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12004627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559 + 410 = 51*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*l - 126*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 22*c**3 + 4*c**3 - 34*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 29 = -8*i, -u - 111*i + 12 = 2*u - 112*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 1225076\nAnswer: 9\/306269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 619435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 105*p**2 - 3\/100*p**5 + 0 + 1\/25*p**6 + 0*p + 0*p**4 + 0*p**3. Factor v(h).\nAnswer: 3*h**2*(8*h - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 933741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 40\/(-6) - -5. Let j = 0.92 + 0.08. What is the fourth biggest value in t, j, -2, -1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, x: 1, u: 1, z: 6}. Give prob of sequence uz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.131 - 29.931. What is the third biggest value in o, -4, 0.99?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*s**3 + 55*s**3 + 10*s**2 + s**2 to the form x*s + j + b*s**2 + t*s**3 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235598.7t in grams?\nAnswer: 235598700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*y**2 + 7712416*y - 7712416*y.\nAnswer: -334*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**2*g*r**2 - 197*d**2*g*r*y + 8554*d*g*r**2*y + d*g*r - 2*g*r + 3*r*y wrt r?\nAnswer: 8*d**2*g + 17108*d*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264)*-1)\/sqrt(6) - sqrt(88)\/(sqrt(6)\/sqrt(3) + sqrt(2)))\/(sqrt(12)\/(2*sqrt(3)) + (sqrt(120)\/sqrt(3) + sqrt(40))\/sqrt(10)))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**3 + 5*k**2 - 6*k. Let u(j) = -7*j**3 - 4*j**2 + 5*j. Let x be -3 - (5 - 6)*4. Suppose 5*a - s = 16, -3*a + 2*s + 5 = x. Give a*v(t) + 5*u(t).\nAnswer: -3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/35)\/(8\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, k: 4, u: 1, m: 6}. What is prob of picking 2 m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b. Let n(o) = o**3 + 6*o**2 + 2*o + 14. Suppose -14*r = -15*r - 6. Let d be n(r). What is g(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102002 + -1200120210?\nAnswer: -1102011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58606253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -330280 divided by -66056?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**2. Let d(s) = -51187*s**2. Calculate q(d(g)).\nAnswer: -15720653814*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, -78.4, -3, 4, 3\/5 in decreasing order.\nAnswer: 4, 3\/5, -3, -78.4, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 - 422 - 2432*n**3 + 2434*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {k: 1, j: 7, l: 4, h: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2 - 669*r + 1362.\nAnswer: -3*(r - 2)*(2*r + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11312 in -4, 6.27, -0.2?\nAnswer: 6.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28648, 57390, 86136, 114886, 143640?\nAnswer: 172398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 2945?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 11*j - 22. Let b be g(-4). What is the remainder when -199*(-2)\/4 + 3\/b is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1481*-68\nAnswer: 100708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus 6753?\nAnswer: -6734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2*q - 10. Let k be j(5). Let y(l) = 2*l**2 - 3*l + 2. Let x be y(2). Suppose -p + 6*p + 23 = d, -2*d + 28 = -x*p. Solve -d = -3*w + k*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555073*r = -555067*r - 120 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1480429465 is divided by 193?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 52. Let j = -6 - m. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 2. Suppose -5*w = -3*f + 207, -2*f + 65 + 73 = 3*w. Let k = f + -71. What is s(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09757 minus 137004746?\nAnswer: -137004745.90243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*x - 8*x + 2, 0 = l + 4*x - 2. Suppose 2*f + 183 = -5*k - f, 3*f - 69 = 2*k. Let o = 36 + k. Solve -6*r + l*r = o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29.112 and -188?\nAnswer: 217.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13691\/8 + -1715. Calculate the common denominator of -37\/3 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.3. Let i = -88.3 + 88.7. What is the fourth biggest value in i, 0.01, -3\/7, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2) + sqrt(10)\/(-1*sqrt(5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5088 is divided by 5086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2064 by 344.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/211701568 and -3\/160.\nAnswer: 1058507840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102\/(-13) + (-10)\/65. Let p be 7 - j\/(-4) - 3. Solve p*k - k + 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c - 2*c - 3*c + 154 - 154.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 5*i**3)*(8 - 11 + 146) as w*i**2 + g + f*i + p*i**3 and give p.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 1. Let j be f(6). Suppose 4 = -j*z - 6. Let u be 1 - z\/(-2)*-3. Solve -u*k + 1 = -7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1838 + 1829 - (-22 + -1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44580 is divided by 22141?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -12)*2\/(-8)*2. Let k(p) = 9*p - 10. Calculate the common denominator of k(h) and -23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 708*u**3 - 140*u - 1.\nAnswer: 4248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210210131 (base 4) to base 3.\nAnswer: -202221001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 4\/472677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j + 9. Let w(k) be the second derivative of -4*k - 2*k**2 + 2\/3*k**3 + 0. Give -6*f(y) - 14*w(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-794)\/10*-2 - 1\/(-5) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 372, 370, 368, 366?\n\"Answer: -2*g + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyy when three letters picked without replacement from {v: 1, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 2*y - 3. Let z be t(0). Sort -5, z, 6 in descending order.\nAnswer: 6, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 8. Let u = t + 1. Suppose -33 = -h - 2*x + u, 0 = 5*h + 4*x - 256. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4400?\nAnswer: 4397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 461, -1\/2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 + 9*q + 6. What is the remainder when x(-6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(25\/(-4)))\/((-1)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139035, -278052, -417049, -556026, -694983, -833920, -972837?\nAnswer: -1111734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -401 - -401. Solve -2*z = a - 2 - 1, 3*a - z - 16 = k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 85*w. Let h(n) = -12*n**2 - 17. Let k(y) = 11*y**2 + 15. Let o(d) = 5*h(d) + 6*k(d). Give o(u(q)).\nAnswer: 43350*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0*a + 4*a = 5, l = a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 349470, 1398223, 3146258, 5593575, 8740174, 12586055, 17131218?\n\"Answer: 349641*b**2 - 170*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -250505 + 92649\nAnswer: -157856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(6\/(-12)*(-14)\/98).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 0.05158 (c) 4 (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 215163620?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776093206.\nAnswer: 2, 20233, 43891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 - 13*p**4 + 8 + 20*p + 0*p**4 - 19*p wrt p.\nAnswer: -52*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7052 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16667751 (base 9) in base 16?\nAnswer: 7fbb2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 8*w - 264 + 4*w**2 - 4*w**2 + 234 + 0*w**2. What is f(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54070 - -86974. Let o = 2904 - b. What is o rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -1893 - 1997. Let k = i - -537. Let h = k - -453. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/63335 and -111\/50.\nAnswer: 633350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 615113.3 kilograms?\nAnswer: 615.1133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76399764 and 10.\nAnswer: -763997640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 0) + (-17082)\/(-1014)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/68)\/((3\/(-7))\/(-3))*(-720)\/(-180).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283978 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: What is the greatest common factor of 82 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let m be (378\/(-35))\/9*(-15)\/(-12). Put i, 0.5, m in decreasing order.\nAnswer: i, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from hvhvvahha.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -301210211 (base 6) to base 8\nAnswer: -23355537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1023 + 1923. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 14. Let u be f(-6). Suppose 3*o = -o + u. What is the least common multiple of o and 16\/(-3)*6\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/12 + (-9)\/2. Let q(h) = 3*h**2 - 3*h. Let y(b) be the first derivative of -4 + 4\/3*b**3 + 0*b - 2*b**2. Determine n*q(p) + 4*y(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + p)*(-4*p - 6 + 6).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34521 + 69063 - 34542 - 339*p.\nAnswer: -339*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496847 minus 76853992?\nAnswer: -76357145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -389*t - 566*t - 7*t + 0 + t + 0 + (t - 4*t + t)*(-3 + 2 + 5) - 3*t + 2*t - 2*t to the form k*t + n and give k.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**6\/3780 + 2*m**5\/105 + 4*m**4\/7 + 19*m**3\/3 + 17. Let o(q) be the third derivative of u(q). Factor o(g).\nAnswer: 2*(g + 12)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41 - (2 - -22)) + 26\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 470 = 5*q - 664, -t + 50 = q. Sort -17, q, 4, 0.\nAnswer: -17, 0, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 8*j - 10. Calculate m(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58300776773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muuuuuuuyumuuucuucm. Give prob of picking 3 u and 1 m.\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 1, b: 2, w: 3, k: 3, t: 2}. Give prob of sequence bkb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -202 (b) 5 (c) 0 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 533*d*j**2*r + 10*d*r**3 - j**2*r**2 - 1197*j*r**3 + 3*j wrt d.\nAnswer: 533*j**2*r + 10*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (11 - 1) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = -4*q. Factor 37 - k**4 + 6*k**2 - 4*k**2 - 12*k**q - 5 + 48*k + 3*k**4.\nAnswer: 2*(k - 4)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**2*j**2*m - 43860*d**2*j*m**2 - 2*d**2*j*m + 2*d**2*j + 17*d*j**2*m**2 + 421*d*j**2 + 4*d*m wrt m.\nAnswer: -87720*d**2*j + 34*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-17))\/t)**(-25)*(t\/t**(-2))\/t**13 assuming t is positive.\nAnswer: t**(-435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6638.1 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by -347\nAnswer: -608\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 m when four letters picked without replacement from bbbsbbbbbssbmbms.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by 586276\nAnswer: 135\/293138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, 1 e, and 1 b when four letters picked without replacement from ybybkyebbybbblb?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083694.\nAnswer: 2, 43, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7180, -14318, -21340, -28174, -34748?\n\"Answer: 12*q**3 - 14*q**2 - 7180*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 46*j**2 - 118*j - 45. What is q(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, -2, -1 in increasing order.\nAnswer: -193, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -1856066*p**2 + 4*p**4 + 324*p - 2 + 1856510*p**2 + 2 + 124*p**3 = 0.\nAnswer: -27, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 10*n**3 + 16*n**2 - 4*n**4 + 2 - 34*n**2 + 18*n**2 as u*n**4 + c*n + j + l*n**3 + w*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7*r - 27*r - 33*r + 6*r.\nAnswer: -61*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -707610982150181877\/87787 + 8060544068422. Let y = -15\/25082 + n. Let a = y + 178. What is the common denominator of 31\/8 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 40 = -4*b, 3373*b + 20 = r + 1692*b + 1680*b for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + n, 1 = -2*o - 2*n - 3. Solve -3*p = -3, -x - 3*p = -2*p + o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380)\/(sqrt(10) - sqrt(120)\/(sqrt(12) + (sqrt(432) - sqrt(12)))))\/(sqrt(64)\/sqrt(2)*3))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025817.\nAnswer: 31, 97607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -37, -42, -47?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 63*n**2 - n - 7. Let t be m(2). Let v = 106 - 72. Let p = v + -7. What is the greatest common divisor of t and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/(18\/176))\/(4\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781689.\nAnswer: 3, 67, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1303, -4, -204, -9, 1, -5 in decreasing order.\nAnswer: 1303, 2, 1, -4, -5, -9, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 190, -544574 in ascending order.\nAnswer: -544574, -2, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 54. Let j be 12 - (3\/1 + 1). Suppose -2*c = 2*d - b, -5*c + 3*d + 9 = -j. Solve 0*w - 16 = -c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/((30\/(-12) - -2)*-4) - -4185?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323215 is divided by 8120.\nAnswer: 6535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3565, 7133, 10707, 14287, 17873, 21465?\n\"Answer: 3*b**2 + 3559*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.596 - -24.696. Which is the biggest value? (a) m (b) 3 (c) 9 (d) -2\/7 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/3213908 and 65\/1804.\nAnswer: 35352988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - -2.86. Let a = d + -3.2. What is the nearest to -2\/3 in -0.5, 0.4, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**7*w)\/(w\/w**(-12)))\/(w*w**(-17)*w**(-2\/37)\/w))**(-26\/3) assuming w is positive.\nAnswer: w**(-11596\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7988*j**2 + 1. Let f(i) = -10049*i**2. Determine k(f(g)).\nAnswer: -806647419188*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from qmqmqmmmqqqq.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x + 2*x**2 - 9*x + 5*x. Let r(o) = -18*o. What is r(v(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -w. Let i(y) be the second derivative of y**5\/20 - 5*y**4\/12 + y**3\/3 - 5*y**2\/2 - 786*y. Calculate the remainder when i(w) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 14*c**2 - 11*c + 8. Determine f(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1 - 10*r + 15*r - 4*r + 0*r. Let s(a) = -6*a + 8. Let f(w) = 4*d(w) + s(w). Calculate f(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42344\/9, 2, 2\/5, 50, -2\/5.\nAnswer: -42344\/9, -2\/5, 2\/5, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2117 + -9279294953.\nAnswer: -9279297070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 8. Let r be 2*-1*2 + -2. Let t be d(r). Let c be (-1 - -5)*(3\/6 - 0). Solve -c*y = -3*k + 1, k + 18 = -y - t*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 17*v**2 + 5. Let k be n(17). Suppose -13 - 3 = -5*z + 4*l, -k*l - 20 = -5*z. Solve 2*a + 2 = -z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*c + 6. Suppose 4*u - 14 = 2*f, -2*u + c*f + 5 = 3*f. Differentiate 3*w - 3*w - 5 - w**3 + 5*w**u wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/32*-1*(-2528)\/(-1580).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.79 - 0.21. What is the closest to a in -2, -4, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158 + -7274?\nAnswer: -7115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Let y = 5 - 3. Let c(a) = -3*a - a**2 - 3*a + 2*a**y + 2. Give c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 140135?\nAnswer: 140114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) -2\/221 (d) -1.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 3 (c) 4 (d) 2 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36260 (base 8) in base 16?\nAnswer: -3cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11373089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w**2. Let z(g) = -4 - 10*g + 3*g + 5*g. Let c(s) = -2*s - 3. Let j(f) = -4*c(f) + 3*z(f). Calculate j(u(q)).\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 18 - (0 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h - 92. Let n be i(-12). Suppose -3*r - g + 10801 = -5*g, -n*g + 7234 = 2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(300)*2*-2 + sqrt(300)*2 + 2 + 2.\nAnswer: -140*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 353 + -347.78. Let u = z + -0.22. Let v = 2.7 - 3. Which is the third biggest value? (a) u (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 17. Let h = 9 + s. Calculate the greatest common factor of 80 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 - (-9)\/((-45)\/(-10)). Let w = -15 - -14. Let l be (0 + r\/325)\/(w\/5). Which is the nearest to 2\/7? (a) l (b) 1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -533289*h + 1. Let p(b) = 40*b**2. What is w(p(i))?\nAnswer: -21331560*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 16*s - 4 = 0. Let c be 82 + (-16 + s)\/(-3). Let r be 2\/3*(-6)\/c. Does 0 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.144 - 86.144. Let j = -85 - k. Which is the third biggest value? (a) 0.1 (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 54, 143, 320, 615, 1058, 1679, 2508?\n\"Answer: 5*s**3 - s**2 - s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.842 - 7981250.\nAnswer: -7981250.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**2 + 7203652*u - 4126962 wrt u.\nAnswer: 4*u + 7203652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15660, 15768, 16070, 16662, 17640, 19100, 21138, 23850?\n\"Answer: 16*d**3 + d**2 - 7*d + 15650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902476.\nAnswer: 2, 475619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 2, p: 3, b: 2, s: 1, l: 3}. What is prob of picking 3 e?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 3 = 0. Suppose -33*d = -36*d - f. Let i be d\/6 + (-125)\/(-30). Which is the smallest value? (a) i (b) -1.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10278.230978112 + 1?\nAnswer: -10277.230978112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/644 and 13\/835?\nAnswer: 537740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6050 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24410688.\nAnswer: 2, 3, 127139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g + 29 = 3*d, -3*d + 4*g = -31. Suppose -d*v + 10*v + 165 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 11 + (3 - 3 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 11 = 3*p, -5*p - 5*v + 5 = -0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + o**4 - 2*o**4 - 7)*(-o - 4 + 4).\nAnswer: o**5 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 377145 and 6034305\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 21 = -4*f, 3*f + 3*m = 3 + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 - 5 = 0. Suppose -2*h - 60 = -r*h. Let y = 23 - h. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0888 rounded to 3 dps?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 13) to base 9\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/60 - 243\/5. Let g be (32\/q)\/(4\/(-6)). Let i(b) = 2*b**3 - 3*b**2 + 4*b + 4. Let k(c) = -c**3 + c**2 - c - 1. Determine g*i(m) + 4*k(m).\nAnswer: -2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 65112028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {c: 3, m: 1, s: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 12:40 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 114\/18)*(5 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20012.89 to the nearest ten.\nAnswer: -20010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = b - 13, -2*c + 5*b + 0 + 1 = 0. Suppose 0 = c*f - 6 - 18. Let n = -8 + 14. Calculate the smallest common multiple of f and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55, 59, 65, 73, 83?\n\"Answer: l**2 + l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/(-9) - -6774) + (-7)\/1 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19192, -19172, -19128, -19054, -18944?\n\"Answer: o**3 + 6*o**2 - 5*o - 19194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*t - 6*t. Suppose 15\/4*p**3 + 13\/4*p**t + 0 + p**5 + 1\/4*p + 7\/4*p**2 = 0. Calculate p.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*w**2 - 150*h - 14*w**2 + 2 wrt w?\nAnswer: 4*h*w - 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3957 + 3948 - (0 + 0 - -21).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 111 = -153. Let d(g) = 4*g**2 + 2 - 3*g**2 - 3 + g + j*g. Let z(c) = 4*c**2 + 10*c - 3. What is 7*d(b) - 2*z(b)?\nAnswer: -b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3615373562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3 - 38991*z**2 + 624432*z - 2498496 = 0.\nAnswer: -13013, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(833) - ((sqrt(17) + 3)**2*-5 - sqrt(17))).\nAnswer: -38*sqrt(17) - 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -9290170.57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001011100100 - -1001010?\nAnswer: 110001100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 6, 25, 62, 123, 214?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/3890 + -206181\/42790. What is the common denominator of 15 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 984601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(637) + 1)**2*-3.\nAnswer: -11466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5017 + 5017. Solve g = 5*a + 15, -4*a = 24*r - 27*r + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + c + 3 = 3*k, 2*c - 2 = -2*k. Let v = k - -4. Let s(d) = d + 8. Let g be s(-4). Solve -7*o + v*o = -g*q + 9, 2*q + 3*o = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33719, -33715, -33711, -33707, -33703, -33699?\nAnswer: -33695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 2*d - 1. Let q be t(-1). Suppose 4*o - 40 = -5*k, 2*o + 2*o = q. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627004.\nAnswer: 2, 3, 179, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15615994 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24*10\/(-2 + 7). Solve 36 = -3*j + d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.3187 milligrams in grams?\nAnswer: 0.7853187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 947 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: Round -1541406 to the nearest one thousand.\nAnswer: -1541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose -q*k = k - 4. Which is the second biggest value? (a) 0 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b**2 - 5*b**2)*(-b - 3*b + 0*b - 1).\nAnswer: 12*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let d = 27 - 26. Let f(l) = -l + 10. Let y(c) = 10. Let z(j) = 3*f(j) - 4*y(j). Let q(v) = d*z(v) + 2*o(v). Calculate q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-6))\/((-1)\/(-18)). Which is greater: -20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -70, -193, -384, -655?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -1)\/3*-34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 81 - -43 - 16.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(20) + sqrt(5)))\/(3*sqrt(4)*1).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (156\/(-9))\/((-6)\/(-27)). Let d = x - -112. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 + -0.74829049\nAnswer: -86.74829049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3081 - -5414. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 19, -3, -13\/6, -0.5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + 11*j**2 + 24*j - 142. Let q be n(5). What is r in 0*r**2 + 6*r + 0 - 3\/2*r**q = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32363 is divided by 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67967 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - i + 1. Let p(q) = -16*q**2 - 3*q + 8. Let b(v) = -p(v) + 4*r(v). Suppose -h - h = 4. Is 17 a factor of b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -144185.\nAnswer: 288370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 1873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*g + 187, d + 4*d = 5*g + 190. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - (-19 - -24) - 14) + -2 + -9 + -2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*c**2*s**3 + c**2*s - 2*c**2 - 416*s**4 - 14*s - 95 wrt s?\nAnswer: 252*c**2*s - 4992*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1522 + 4434. Is x a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 89*t - 169. Let n(f) = -2211*f + 4224. Let y(h) = -99*j(h) - 4*n(h). Let q(o) = -1. Determine -165*q(u) + y(u).\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 2\/19 (c) -6 (d) 0 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*p + 156 = 3*p, -4*b + 156 = 3*p. Let r = b + -22. Suppose -r = -5*f + d, -5*d = -3*f - 0*f + 19. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157049 is divided by 3197?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/2 - n**3\/6 - n**2\/2 + 23*n. Determine m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - ((9 - 13) + 1). Is 3\/443 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000528652 rounded to seven dps?\nAnswer: -0.0000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(320) + -4)**2.\nAnswer: -96*sqrt(5) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = 0, 6*b - 52 = 5*b + 2*w. Calculate the remainder when 235 is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y + 19. What is the remainder when a(9) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m - 12. Determine p(-8).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50, -93, -124, -137, -126, -85, -8?\n\"Answer: m**3 - 50*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 5*n - 2 - 3*n + n**4 + (3*n - n**3 - 3*n)*(1 + 2*n - 1) to the form x*n**2 + d*n**3 + s + r*n**4 + h*n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10338369 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**3 - 5*f**2 + 4*f - 3. Let y(c) = c**3 - c**2 + c - 1. Let g = 605 + -604. Determine g*t(h) - 5*y(h).\nAnswer: h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-10 - 3))*-1. Let p = -11 + t. Let r = -34 + 56. Solve -q = 4*m + p*q + 11, -5*m - r = q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.139*-2.\nAnswer: -0.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -14 + 0*n**5 + 5\/2*n**6 - n**2 + 0*n + 0*n**3 + 0*n**4. What is the second derivative of v(s) wrt s?\nAnswer: 300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.9 - -10. Let o = 0.0736 - 11.0136. Let j = o - 0.06. Sort c, j, 1\/4, -0.2 in descending order.\nAnswer: 1\/4, c, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 504 - 503. Calculate the remainder when 55 is divided by w - (-332)\/18 - 120\/270.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*a - 7 = 0, -5*h = -0*h + 5*a - 55. Let f(s) = s + 4. Let u be f(0). Suppose h - u = v. Solve r = -v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 5*d = -13 + 6, -l + 2 = -3*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17367465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-3)\/6 + 8)*6\/(-35)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcctcccttcc. Give prob of sequence tttt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/3 - (0 + -1). Let b(k) = -k**3. Let f(h) = 21*h**3 - 3*h. Let p(v) = j*f(v) + 18*b(v). Find the second derivative of p(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*t - 157. Let m = t - -60. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -576622\/111 < -5194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143.19 - -145.19. Which is the nearest to -1? (a) 0.4 (b) i (c) -0.035 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 53, 114, 199, 308, 441, 598?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:39 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172 + -33. Suppose 4*b = 21 + h. Let n = -29 + b. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16551121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**0*x*x)**(-1\/17)\/(x*x*x**(6\/11)*x**(-3\/8)) assuming x is positive.\nAnswer: x**(-3599\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 81*w**2 - 5*w. Suppose -r + 21 = 5*d, 2*d + 7*r = 2*r - 10. Let j be m(d). Let z be j*5\/50*-4. Round z to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.81316 decades in months?\nAnswer: 3457.5792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62748 and 21?\nAnswer: 62748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -31. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1323526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 + -130. What is the least common multiple of ((-12)\/(-20))\/(c\/40) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*21*(-120)\/980.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttttzztzzttzzzz. Give prob of picking 3 z.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471273720 a multiple of 7528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110241324*d**4 - 29*d - 223401?\nAnswer: 1322895888*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3970\/229 + -83279148\/4803733. Let l = b - 1027815\/608333. Calculate the common denominator of 38\/5 and l.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 9 - 6 = 3*l, 3*j = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 168. Let o = 263 + c. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/15 + r**5\/10 - 2*r**2. What is the third derivative of j(k) wrt k?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.739382 hours in microseconds?\nAnswer: 24261775200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/100 and 111\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -1 + 0*r**3 - 23*r + 1\/4*r**4 - 3\/2*r**2. Factor k(i).\nAnswer: 3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -42053, 0, -161 in decreasing order.\nAnswer: 2, 0, -161, -42053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14439*r - 7160*r - 7176*r.\nAnswer: 103*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 695763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (151 - (0 + 2 - 0)) + -488 + 291 + 193\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452 divided by -5.\nAnswer: 452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -368 - -21a6b?\nAnswer: 21703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 17*r - 76. Let u be m(8). Sort -14, 5, -26, u in ascending order.\nAnswer: -26, -14, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/14 - (7 - 4). Let a = -58.9 - -59. Is q > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1)\/3 - 6. Let v(y) = y**2 + 5*y - 2. Let z be v(d). Suppose z*p - 436 = -0*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 484\/15 + -71\/3. Suppose -5830 = -5*y + 5*m, 0*y - 4*m - 5829 = -5*y. Let p = 5876\/5 - y. What is the common denominator of s and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18609 and 0.0882.\nAnswer: 0.016413138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 2*a**2 - 1\/30*a**5 + 1\/60*a**6 + 0*a**3 + 0*a + 0*a**4 + 0. What is the third derivative of n(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k - 1 = 0. Let h be k\/(-2*(-2)\/(-12)). Let z = 7\/6 + -1\/2. What is the nearest to z in 1, 2\/11, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(3) + (sqrt(75) - sqrt(75)*-2)).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.124 - 0.178. Let z = 0.3 + q. What is z rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let r(m) = m + 23. Determine -3*k(w) + r(w).\nAnswer: -2*w + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d + 11*d + 15*d = -14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 2. Let r be a(7). Let k be (-8)\/(-3)*r\/8. Suppose -41 = -k*z + 11. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1293821055 - 0.12939. What is q rounded to seven dps?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 19*j**2 + 23*j + 52. Is y(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 169330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17774, -17775, -17776, -17777, -17778?\n\"Answer: -b - 17773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.6 (c) 4 (d) -5\/7 (e) 7067\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.27, 3, 1\/2 in ascending order.\nAnswer: -1.27, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 1, r: 1, o: 2, m: 2, d: 1}. Give prob of sequence rod.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3724)\/(-1) + (-14 + 11 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 178.57168046 and -0.36.\nAnswer: 178.21168046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 12:19 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + (-231)\/84. Put -2, 4, -4, g in decreasing order.\nAnswer: 4, -2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**3 + 8*i**2. Let p(w) = 14*w**3 - 23*w**2 + 1. Determine 17*o(r) + 6*p(r).\nAnswer: -r**3 - 2*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bhbb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let j(i) = 3*i**2 + 2*i + 2. Let x(s) = 2*b(s) + j(s). Let f(l) = 6*l. What is x(f(o))?\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5850798l to millilitres.\nAnswer: 585.0798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -53. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, p: 4}. What is prob of picking 1 p and 1 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5796.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.376246 nanoseconds in microseconds?\nAnswer: 0.000376246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 10062437 and -1.\nAnswer: 10062436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2329 + 2329 + 72*x**2.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076.53671us in days?\nAnswer: 0.000000012459915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6722, -13416, -20080, -26714, -33318, -39892?\nAnswer: -46436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -43*u. Give v(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -712 = -z*u + 7302. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5214582983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -7*y**4\/6 - 5*y**3\/6 - 17*y**2. Let u be b(-15). Let s = u + -124. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (392\/(-16) - 1)*(-16)\/(-144)*18*-1\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.77 - -0.23. Let c = 43.42 - 0.42. Let w = 44 - c. Which is smaller: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2101, -2273, -2741, -3649, -5141?\n\"Answer: -24*i**3 - 4*i**2 + 8*i - 2081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 22*w**2 + 386*w - 127. Calculate v(-18).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -229*k - 2068. Calculate y(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6294, -25165, -56628, -100665, -157258, -226389, -308040?\nAnswer: -402193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21341?\nAnswer: 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/5 - 58*b**3\/5 - 216*b**2 - 1120*b + 3200 = 0. What is b?\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25954)\/77862 - ((-1)\/18)\/(2 + (-65)\/34).\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i**5 - 15316*i**4 - 8707336*i**3 - 1664556192*i**2 - 6157242320*i + 1450571968 = 0. Calculate i.\nAnswer: -566, -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 12, x: 5}. Give prob of picking 1 n and 3 x.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m**3 + 8*m**2 + 3 + 0*m**3 - 3 wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4530 is divided by 1312?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -32*u + 763. Let p be j(24). Which is the smallest value? (a) -0.37 (b) 3 (c) p (d) -0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -552 - 16?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -3, 6, 21, 42, 69?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*j + 80 = w, -3*w + 5*j + 98 = 0. Let b = 25 - w. Let m(k) = k**2 + 8*k + 2. Let d be m(-6). Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210 - 218) + 0 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 - ((-78)\/36 + 7))\/((-279)\/62)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {j: 4, e: 5, b: 6}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1116 * 49188.\nAnswer: 5489.3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 3*c**2 - 4. Let n = 10 - 20. Let q(p) = 2*p**2 + 19*p - 7. Let t be q(n). Calculate x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-51) - 968\/(-136). Suppose w*a - 1852 = -81. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6881.\nAnswer: 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 301.6 times -0.1\nAnswer: -30.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21179762*c**3 - 33*c**2 - 105130*c wrt c.\nAnswer: -127078572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595216 is divided by 297562?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (114\/(-15) + 6)\/((-2)\/25). Solve -2*r - x = -6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2355*h**2 - 10*h. Let y(b) = b + 1. Calculate y(g(u)).\nAnswer: -2355*u**2 - 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 2. Let i(o) = o + 1. What is 3*i(m) + z(m)?\nAnswer: -5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 5*p**6\/6 - 18*p**5 + 585*p**4\/4 - 1600*p**3\/3 + 750*p**2 + 3217. What is m in s(m) = 0?\nAnswer: 0, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.1. Which is the closest to -1? (a) -0.1 (b) -1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 884684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/2)*p*p**(-8\/5)\/p*p**9\/p*(p**(-3\/13)*p)\/p assuming p is positive.\nAnswer: p**(737\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u + 240 = 13*u. Let i = -46 - u. Let p = -9 + 20. What is the lowest common multiple of p and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 134*z - 705. Calculate p(13).\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 + 11*i + 14. What is c(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let u be 7 + -2 + (5 - x). Find the third derivative of -7*g**3 + u*g**3 - 2*g**4 + g**2 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/52)\/(27\/(-90)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 187, 394, 685, 1066, 1543?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + n**4 + 0*n**4 + (3*n - 5*n - 2*n)*(4 + 2*n**3 - 4) to the form o + c*n**4 + d*n**3 + j*n**2 + r*n and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 3*r**3 + 5*r**3)*(-812 - 4333 - 3634 - 1661).\nAnswer: -20880*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*y + 12 + 13 = 0, 30 = 5*c - y. Suppose 5*r = 3*q + 13530 + 23858, c*r - 20 = 0. Is (-6)\/39 + q\/(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 z when four letters picked without replacement from {z: 4, j: 4, y: 11}?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1058100 and -67\/211620.\nAnswer: 1058100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18198 less than or equal to 18681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4\/91 (c) 10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32695*s - 32739*s + 2288 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtttmtt. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, -3*i = i - 3*b. Let k = -54 - -60. Suppose 2*g - 4*z = k*g - 164, -3*g + 5*z + 123 = i. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2842662 - -2\nAnswer: 2842664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.58426 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 10. Suppose y + 2 = 0, -4*m + w*y + 338 = -3*y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 133, 201, 263?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23221 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2. Let g(k) be the third derivative of 5*k**5\/4 + 19*k**2. Calculate h(g(s)).\nAnswer: -11250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfkqfkaj. What is prob of sequence qf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbxgggbbeqgkbbgggbb. What is prob of picking 3 b?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2\/1313, 5, 2, 2\/19?\nAnswer: -2\/1313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yggg when four letters picked without replacement from ygrryyry.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26345 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2322 (base 6) to base 13\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 484 - 278. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.7 + 19.2. Let k = -1.9 + 2. Which is the biggest value? (a) 3 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3.2, -116, 2, -2, 6?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 513616619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12*s - 14*s + 234 = 0, 0 = -3*r + s + 709. Calculate the remainder when 733 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -3*l**5\/25 + 3*l**4\/20 + 21*l**3\/5 - 27*l**2\/2 + 64. Factor c(o).\nAnswer: -3*o*(o - 3)**2*(o + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let w = r - 9. Which is the second biggest value? (a) w (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 325, 506, 699, 904?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1709*t + 1295. Let a(r) = 1708*r - 1318. Let m(x) = -2*a(x) - 3*i(x). Differentiate m(d) wrt d.\nAnswer: 1711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + -0.77. Let s = 0.47 + x. Let z = s + -1.9011. Round z to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 1.4. Let p = 3.8 - o. Let n = -10 + p. What is the second smallest value in 0, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93007 rounded to the nearest 100?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296684649.\nAnswer: 3, 43, 151, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 505, -1272, -7603, -20762, -43023, -76660?\n\"Answer: -379*q**3 - 3*q**2 + 885*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110111111111100 + 101000?\nAnswer: -1100110111111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 563645.7 rounded to the nearest 10000?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*v - 2*a, 0 = 4*v + 2*a + 3*a + 28. Suppose -g - 1 = 9. Let z = v - g. Let q(o) = -o**2 + 2*o + 2. Determine q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.0299t to micrograms.\nAnswer: 148029900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367636, 367606, 367576, 367546, 367516?\nAnswer: 367486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -3*g - c - 2*c, -2*g = 3*c - 166. Suppose -59 = 20*l - 179. Suppose -4*j = -g + l. Calculate the least common multiple of j and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.6 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 9. Let w be s(-6). Let k be 47\/w + (-3)\/(-9). Suppose 6 + k = 2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 1 - 2*q + 6)*(1 - 6 + 4)*(2*q**3 - 2*q**3 + 3*q**3).\nAnswer: 6*q**4 - 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4960031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z + 1. Let q = -147 + 149. Let c be (-12)\/((-4)\/1 + q). Let h(i) = -5*i**2 + 3*i + 3. Calculate c*x(u) - 2*h(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(2 + sqrt(80)*1 + -2 - (-1*(sqrt(80) + -1) + 0 + sqrt(80) + 0)**2) + 3.\nAnswer: -1 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxdxdgagavxxdavxcaxx. What is prob of picking 1 x, 1 v, and 1 a?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-18) + (-2)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/48 and 83\/38.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 3*f + f)*(6 + 0 - 3) + 42*f + 110*f - 27*f as m + i*f and give i.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h - 12. Let a(y) = -y**3 - 12*y**2 + 13*y + 4. Let r be a(-13). Let s be q(r). What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100103110 (base 4) in base 9?\nAnswer: 111531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -401 - -490. What is the third biggest value in 5, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18836116, 18836097, 18836078, 18836059, 18836040?\nAnswer: 18836021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b + 3. Let x(i) be the third derivative of 3*i**5\/10 - 3382*i**2. Calculate x(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c + 68. Let o(h) = 2*h**2 + 39*h + 25. Let f be o(-19). What are the prime factors of v(f)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - 20 - -3 - -27. Calculate the highest common divisor of 2603 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = m + 2*m - 4251, 3*m = -3*o + 12723. Calculate the smallest common multiple of 30 and o.\nAnswer: 21180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 2\/61, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/40 - q**5\/20 - q**4\/24 + 158*q**2. Calculate h(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 20*c**4 + 1 - 18*c**4 - 2*c**3 + 27*c**4 in the form j*c**4 + s*c + l*c**2 + v*c**3 + f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/3 - 4*k**3\/3 - 16*k**2\/3 + 16*k\/3 + 16 = 0.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**5 - 5*i**4 + 2*i**3 - i**2 + 3*i. Let d(z) = 6*z**5 + 14*z**4 - 6*z**3 + 2*z**2 - 8*z. Let h(w) = 3*d(w) + 8*r(w). Factor h(v).\nAnswer: 2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(21 + 15*o - 21) + (-2 - 2 + 2)*(3*o - 4*o + 5*o) to g + u*o and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -18*h + 4. Let r(j) = 0*j**2 - 2*j**2 + 3*j - 3*j. Let d be r(1). What is the tens digit of m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74452?\nAnswer: 2, 7, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-5 + -1 + 2. Suppose -2*p - 1 + 3 = 0. Let s be ((-6)\/(-10))\/(1\/p). What is the biggest value in s, m, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 6) to base 3.\nAnswer: 101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/(2\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2. Let o(g) = -50106*g**2. Give k(o(z)).\nAnswer: -10042444944*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykyykykkkbkkkkkkyby. What is prob of sequence kk?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 63*h + 92 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7480280207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**3 + 0 - 1\/4*l + 0*l**2.\nAnswer: l*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/12 - (-3)\/6. Suppose k = 3*w - 0*w - 168. Suppose 202 = 5*r - 3*b, r + 5*b - w = -r. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (51\/(-6))\/(6 - (-2055)\/(-342)). Let s = -426 + r. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/110*(-1440)\/(-9504)*2?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70105499 is divided by 972.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 26. Let h = -32\/5 + o. Which is the third smallest value? (a) h (b) 3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o = 26*o + 20178. What is o rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -399, -1044, -2339, -4500, -7743, -12284, -18339?\nAnswer: -26124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Let s(q) = q**2 + 4*q + 2. Let o be s(-4). Let a = 2 + o. Solve i*d = a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 792720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 8*d - 50. Determine l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 10:44 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8371 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544 = 152423*m - 152391*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 816019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 - 207 - 209 + 620 + 53*u.\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.37*0.1\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536308.\nAnswer: 2, 134077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1422 - -2820. Calculate the lowest common multiple of h and 16.\nAnswer: 11184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Suppose 3 = m - u*m. Solve m*b = b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -376926 (base 11) to base 7.\nAnswer: -5024642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28128 + 916651. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:42 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {w: 1, t: 2, p: 2, b: 6}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -352 + -3?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-231)*30*(-609)\/29.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -173*f**3 - 6*f*u**3 + 2*u**3 + 2*u - 576 wrt f?\nAnswer: -519*f**2 - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 28*m**3 - 112*m**2 - 80*m.\nAnswer: 4*m*(m - 10)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233 and 563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**3 - 5*v**2 + 3. Suppose 0 = 2*w - 20 + 12. Is h(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n - 1 + 0)*(4*n**4 + 0*n**4 - n**4).\nAnswer: -6*n**5 - 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26970.985 times 0.5?\nAnswer: -13485.4925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 98353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 41.1. Let c = -2 + 2. Let t = 0.3 - c. What is the closest to -1 in -3, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 1. Let d(x) = x**2 + 4*x + 19. Let u(n) = d(n) - 2*v(n). Let h(m) = -m**2 - 2*m - 6. Calculate 11*h(q) + 4*u(q).\nAnswer: q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 381327 divided by 22431\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -724*d**3*h**4 + 139*d**3*h**2 - 2*d**3 - 2*d**2*h - 20*d**2 + 9*h**5 wrt h?\nAnswer: -17376*d**3*h + 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 4*o**3 - 2*o**4 - o**4 - 4*o**4 + 0*o**4 + (3 - 3 - o**2)*(0*o**2 - 4*o**2 + 3*o**2).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 488*v - 6801 + 3847 - 59998. What is the greatest common divisor of 11524 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17216965.\nAnswer: 5, 101, 103, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let z(d) = -d**2 - 130*d. Give y(z(n)).\nAnswer: -n**2 - 130*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -1 in descending order.\nAnswer: 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -37*n**2 - 2*n. Calculate p(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 5) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 29*p - 36. Let i be w(17). What is the greatest common factor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5251 (base 6) in base 10?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*r + 10, -2*r - 4*z - 4 = -2*z. Let y = -57 + 60. Let w(a) = 2*a + 1. Let x(f) = 2*f + 2. Give r*x(k) + y*w(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106825?\nAnswer: 5, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*k + 3*i, -5*k + i = -3*i - 23. Suppose -a = k*y - 119, 0 - 123 = -a - 5*y. Suppose a = 4*d - 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*g - 4*u, -4*g + 32 - 4 = 4*u. Suppose 0 = -g*l - 2 + 11. Solve 2*y - y = 3*w + 18, l*y - 3*w = 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**4 + 6*s**3 - 2*s**2 - 10*s - 10. Let y(w) = -w**3 + w + 1. Let x be -8 - (0 - -3 - 1). Let g(r) = x*y(r) - z(r). Solve g(t) = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 16. What is the greatest common divisor of i and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/60*m**5 + m**2 + 0*m**4 + 0*m - 2\/3*m**3 + 0. Give v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14414 + -14354. Let k = 34 + -24. What is the remainder when v is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -19 (b) -6 (c) 0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a**2. Let z be 12\/(-18) - (-13)\/(-3). Let l(p) = p**2 + 5*p - 1. Let u be l(z). Let w be q(u). Solve -3*y = 6 + w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v + 8. Let x(u) = 38*u + 24. Let i(d) = 17*p(d) - 6*x(d). Is i(-8) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-748)\/28 - 4\/(-14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -1.64\nAnswer: 0.0984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2927472 and 80656.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -512, -767?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Suppose f = -0*z + z. Suppose z*s - 3 = 5. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)*((i\/(i*i**3\/i*i))\/i)\/i)\/(i*i**(-4\/11)*i**16) assuming i is positive.\nAnswer: i**(-725\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 12*i**2 - 23*i - 32. Let c be h(-10). Let y(j) = -111*j**3 - 4*j**2 - 7*j - 5. List the prime factors of y(c).\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 37*s - 38*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19669800 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + i - 6*i + 17, 17 = -o + 3*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 1. Let y be t(1). Let l(i) = 35 - 7*i + 0*i**3 + 8*i - i**y. What is the remainder when l(0) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709035732 is divided by 2035?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 6306?\nAnswer: 6307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 6*m - 3. Let k be p(-5). Suppose u = -c - 2*c + 17, 2*u = -5*c + 29. Suppose -k*w + 60 = u*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1233411 (base 5) to base 2\nAnswer: -101111010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/427592 and -85\/3100042?\nAnswer: 12400168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/6 - (5 - 2). Let y(d) = d**3 + 4*d**2 + d - 2. Let v be y(i). Solve -3*m = h + 3, -v*h - 4 + 0 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380267311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 833 = 401*q - 1115*q + 2261. Suppose 0*y = -4*y - 12. Sort y, 13, 5, q.\nAnswer: y, q, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 4934217*v**2 - 2028872316480*v + 2028877250700.\nAnswer: -3*(v - 1)*(v + 822370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -38. Let u be 3\/(9\/6) - p. What is the remainder when (u\/(-6))\/((-2)\/6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/5 + 54*p**2. Let i(u) = -u - 2. Let m(b) = -7*b**2 - 2*b - 4. Let r(d) = 2*i(d) - m(d). Determine r(h(t)).\nAnswer: 1008*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 77174564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-3)*(-5)\/((-5)\/(-3)). What is the highest common divisor of r and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6)\/(6\/40). Let y = -8 + f. Solve 4*d + 14 = 2*o, 4*d + 3 = -y*o + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) 0.2 (c) -17 (d) 1.7 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - 0\/1. Let m = -39 - -41. Suppose n = -m*t + 5, 2*n + n - 5 = 4*t. Which is the nearest to t? (a) 0.5 (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/41 - 119\/164. Let i = y + -19\/12. Is 6 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + k**2 - k**2 + (-k - 2*k + 5*k)*(-k**2 + 6*k**2 - 3*k**2) + (2 + k**2 - 2)*(2*k + 5*k + 0*k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25790.67 - 27?\nAnswer: 25763.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13381, -26762, -40143, -53524, -66905?\n\"Answer: -13381*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 245?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -215*z + 219*z + 127, -51*i + 56*i - 106 = -3*z for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from szuutuubtzsbs.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -162521 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36247, 36237, 36225, 36211, 36195, 36177, 36157?\n\"Answer: -j**2 - 7*j + 36255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2831 + 5*t**2 - 2*t**2 + 2831 + 2*t**2. Let j(c) be the second derivative of 3*c**3\/2 + 5*c**2\/2 + 33*c. Determine j(z(f)).\nAnswer: 45*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5 = -5*s. What is the second derivative of 10*i**3 + 2*i + i**s - 10*i**3 wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 3:31 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*g = -42, -y + 5612*g = 5609*g + 42 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 315840481\/38 + -8311011. Let o = a - 1157\/2. Is 2 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0)**2 + 5 - (1 + ((sqrt(21)\/sqrt(3) - sqrt(7))*4)**2).\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s**2. Let m(j) = -3*j - 4. Determine c(m(f)).\nAnswer: -108*f**2 - 288*f - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {j: 1, u: 1, t: 1, a: 4, q: 3, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (2\/6)\/((-1)\/(-6)). Let d(x) = x**3 + 2*x**2 - 3*x + 4. Let m be d(c). Solve m*n - z - 4*z - 28 = 0, 3*z + 6 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + d**2 - 3*d**2 + d**2 + d**2 + (d - 2*d + 3*d)*(5 - 5 - d) - d**2 + 2*d - 2*d - d**2 + 0*d**2 + 2*d**2)*(4*d**2 - 2*d**2 + 6*d**2).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -134 (b) -3 (c) 3414 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 - 160*f + 100. Give k(19).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 384377 (base 13) in base 15?\nAnswer: 1ba7c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9397461*y**3 + 862958*y + 4 wrt y.\nAnswer: 56384766*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288090 and 32010?\nAnswer: 288090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -12*c + 75, -237 + 267 = 3*c + 4*n for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3981997*h**2 - 7*h + 10. Let l be k(1). What is l rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/3 (b) -2\/29 (c) 4 (d) 6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:38 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 1201*l - 13230. What is n(-11)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:13 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3274*t - 8024*t + 4752*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from nzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -2 (c) 4\/7 (d) 2\/9 (e) 9\/2 (f) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 1. Suppose -t = -42 + 6. Let y be 3\/(-4) - 9\/t. Calculate o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b2 - -4?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 6*f + 11 = 0, -306 = -f - 295 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/(-95) + 4767\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 415722*i + 7899079.\nAnswer: -(i - 19)*(i + 415741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 99270100.\nAnswer: -109197110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/7)*l\/l**(6\/13)*l)**(-12) assuming l is positive.\nAnswer: l**(-2616\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63206.9 rounded to the nearest 10?\nAnswer: 63210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**14\/c)\/(c\/((c*c**(1\/2)\/c)\/c)))\/(c*c**(14\/9)*c**(-4)\/c))**(-7\/5) assuming c is positive.\nAnswer: c**(-1757\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 18*k**5 - 5*k**5 + (1 - k**3 - 1)*(37*k**2 + 43*k**2 - 19*k**2).\nAnswer: -82*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sspskkkezkpppky. Give prob of picking 2 s and 1 e.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**3 - 8*x**2 + 40*x**4 - 32*x**4 + 2*x + 3*x**3 + 5*x**4 wrt x.\nAnswer: 312*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 - 1082701.3004?\nAnswer: -1082701.6304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(5*q - 5*q + q**5 + (3*q**3 - 2*q**3 + q**3)*(3*q**2 + q**2 - q**2)).\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4 - l**2 - 5 + 15*l - 3*l + l. Let s be 2\/(-2) - (-22)\/2. What is the tens digit of u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058793 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2 + 10*p - 6. Let t be o(4). What is the third derivative of 12*u**4 - 2*u**2 - 2*u**t + u**4 - 3*u**4 wrt u?\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u**3 + 9. Let x(w) = 6*w + 35. Let a be x(-5). Let m(o) = -23*o**3 - 14. Determine a*m(q) + 8*b(q).\nAnswer: 5*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -a - 0*a. Let f = -121 + 126. Suppose -f*d = -5*u + 235, -3*u - d - 3*d + a = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 14*j**2 + 17*j - 20. Let f be x(6). Suppose f*q + 1 = 11*q. Which is greater: 18\/25 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.525928 rounded to 3 decimal places?\nAnswer: 1.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 6*n - 26355 = 7*n, 5*n = -x + 6615. Calculate the greatest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 28 + v - 10 + v. What are the prime factors of x(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2690001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 14\/3*o + 2\/3*o**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5452 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7419 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162.95 - 156. Let v = q + 0.05. Let d = v - 6.9997. What is d rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l + 0*l + 3*l**3)*(-7*l - 13 + 13) + l**4 + 3*l**4 - 5*l**4)*(-2 + l + 2).\nAnswer: -22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/314 and 53\/65970.\nAnswer: 10357290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22652\/32 - (-4)\/32. Let p = v - 351. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09604 - 0.098. What is h rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1737*o + 1739*o + 1749*o + 1736*o - 6997*o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 64*j - 11. Let w(o) = -21*o + 4. Calculate 8*w(q) + 3*z(q).\nAnswer: 24*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -125?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -93, -45, 3, 51?\n\"Answer: 48*j - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 953678 and 5038?\nAnswer: 218392262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*((sqrt(1700) - -2*sqrt(1700)) + 1 + -3 + -3 + sqrt(1700)) + 2.\nAnswer: -25 + 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3576 = -8*v + 3584 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*v + 4550, 3*h = -4*v - 2*h + 4562. What is the second derivative of v*g**2 - 1138*g**2 + 15*g - 26*g**4 wrt g?\nAnswer: -312*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051076151.\nAnswer: 3, 116786239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t + 11*t + 15*t - 1 + 5*t to the form z + o*t and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1.8719.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -9381236343?\nAnswer: 9381236342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*h**2 - 245*h + 310 = 0. What is h?\nAnswer: 2, 31\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 75567090*n + 2. Let w be o(1). Suppose -8*l = 50112908 + w. What is l rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 10 = 0, -2*c + 8 = -g + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695 at least as big as 3695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301199?\nAnswer: 2301199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215.56 + -215.56. What is the closest to 4\/11 in -5, j, -0.1, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhcg when four letters picked without replacement from whghhgcqgggqwqghq.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*k - 14 = -0, 4*y - 2 = 2*k. Let f = 0 + y. What is the second derivative of -2*c**4 - 5*c - 2*c**4 + f*c + 2*c wrt c?\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/4 - (-2)\/(-8). Let q = 104 - 57. Suppose -4*b + 327 = q. Calculate the highest common divisor of v and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14227885 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 prob of picking 1 u, 1 h, and 1 y when three letters picked without replacement from {y: 4, h: 2, u: 2, v: 3, r: 2, a: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1137*m. Let p(g) = -186350*g. Calculate p(j(t)).\nAnswer: -211879950*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {f: 3, w: 1, i: 1, b: 3, y: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-320)\/(-120) + 10\/(-6)). Sort t, -1, -7, -4 in descending order.\nAnswer: -1, -4, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**(-8\/7)))\/u)\/u)\/((u*u*u**0)\/u)*u*u\/(u\/(u**(-2\/7)*u)*u*u)*u**(-1\/2))**(12\/5) assuming u is positive.\nAnswer: u**(-222\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3193 to 2 decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-3)\/sqrt(12) - (sqrt(825)*-5 - sqrt(33)))\/((sqrt(726)*1)\/(-1*sqrt(72))).\nAnswer: -138*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4. Suppose -4*l = -b*l. Let w(s) = s + 4. Is w(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8774 + 22469. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:07 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 2*s + 2*s + (3*s**4 + 24*s**4 + 25*s**4)*(28 - 3 + 18).\nAnswer: 2235*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*r**2*z - 3308*r**2 - 4*r*z**2 + 11*z**2 wrt z?\nAnswer: 4*r**2 - 8*r*z + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19898686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l**3 + l**2 - 88*l + 957.\nAnswer: -15*l**2 + 2*l - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159076321 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 4*w - 3*w)*(-12 + 2 - 3 + (-1 - 3 + 2)*(-5 + 1 + 2) - 2 - 2 + 2).\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + u + 1. Let b = -46 + -7. Let s = b - -55. Let w(h) = -54*h**2 + 2 + 41*h**s + 5*h + 3. Calculate -9*l(j) + 2*w(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 672175575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 44 = 12. Let q = 15 - 4. Let w = j - q. Solve -5*k + 9 = r + 3*r, 3*k = w*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i**3 - 11*i**3 + 12*i**4 + (-2*i**2 + 3*i**2 + 0*i**2)*(i**2 + 2*i**2 - i**2).\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -84, -3, 16.\nAnswer: -84, -3, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122 (base 4) in base 16?\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.892 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h - 5. Let x be y(-2). Solve 0*k = k + x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 4*h**2 + 13*h - 2. Calculate x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 5)\/((-4)\/8). Let x = 4 + l. What are the prime factors of (x\/(-6))\/((-2)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 - 151. Suppose 0 = -l + 11*l - f. Find the second derivative of -15*i**5 + l*i - 76*i**2 + 76*i**2 wrt i.\nAnswer: -300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*h - 81*h**2 + 36*h**2 + 11*h - 10*h**2 - 65*h**2 as m*h**2 + l*h + z and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 3*f + 8759 = 0. Is 2307\/5 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208098 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 2*f**2 + 2*f + 18. Let a be j(0). What is the greatest common factor of a and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:59 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1515 - 1200. Let d be 249\/o + 15\/105. Factor 0*p**2 + 2\/15*p**3 - d*p - 4\/5.\nAnswer: 2*(p - 3)*(p + 1)*(p + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356130936 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -88649*t + 6560031. Calculate o(74).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-1)*(2 - 1). Let v(w) be the first derivative of w**4\/4 + 4*w**3\/3 - 3*w**2 + 5*w + 217. Calculate v(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2067 or -64100\/31?\nAnswer: -2067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 580 and 362225?\nAnswer: 42018100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - q)*(488*q**2 + 19*q - 1058*q**2 + 487*q**2) to c*q + s*q**2 + b*q**3 + l and give b.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 + 2*y**4 - y**3 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:57 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((192\/(-28))\/6)\/((-297)\/693)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 + 95 + 0 + 2.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*y = -5 + 13, 3*i - 20 = -5*y. Let b(p) = -4*p**3 + 56*p**2 - 16*p + 226. Let a be b(14). Solve -3*x + 3 = 12, 2*r + 4*x + a = i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/4 + v**3\/3 + v**2\/2 - v - 1. Suppose 20 = -5*t + 5*b, 0 = -3*t - 9*b + 4*b + 20. What is u(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -472*r*s + 268*r wrt s.\nAnswer: -472*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 23771 + 0*o - 22046.\nAnswer: 9*o - 45817","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3172*j = -3173*j + 5*d + 5, 2*d - 5*d + 39 = -9*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1592, 4, 1 in descending order.\nAnswer: 1592, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18843 = 32*z - 28837. Suppose 5*w + 385 = z. What is the greatest common factor of 39 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1936, -4459, -6982, -9505, -12028?\nAnswer: -14551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, i: 4, a: 2, c: 1, n: 4}. What is prob of sequence aann?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/11 + 536*d\/11 + 404010\/11 = 0.\nAnswer: -335, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i - 4. Let q be ((0 + 0)*-1)\/(-2). Suppose -x + 7*x - 216 = q. Let k = x + -25. Let w(l) = 5*l - 2. Determine k*w(z) - 6*s(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2*i**3 - i**3)*(3 - 3 + i) - 4*i**4 + i**4 + 2*i**4 - 3*i**2 + 21*i**4 - 20*i**4 - 2*i**2.\nAnswer: -2*i**4 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-10)*x*x\/((x\/(x\/(x\/(((x\/(x\/(x**(-19)*x)))\/x)\/x)))*x)\/x))**(-41) assuming x is positive.\nAnswer: x**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374442?\nAnswer: 2, 79, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + 536\/24. Suppose -5*g + 4*o = -d, -3*o = -0*g - g + 11. What is the smallest common multiple of 5 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -564 + 300. What are the prime factors of (4\/(-8))\/(2\/l)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (57\/(-15) - -1)\/(3\/105). Let u = w + -44. Let n = u - -145. Solve -5*f - 3*p + n = 0, -2*f + 3*p = f + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24971 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 - 1.2. Which is the third biggest value? (a) -1 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxccgxcggxxxgxxggccg. Give prob of picking 2 g.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -941195.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-2*k + 2*k - 7*k) - 3*k - k + 5*k + (0*k + 2*k - 4*k)*(1 + 1 - 3) + 2*k + k + 0*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026983712 rounded to six decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11890700999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**3 + u**2 - 9*u + 9. Let k(h) = -3*h**3 - 4*h + 4. Let q(r) = -3*i(r) + 7*k(r). Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 2*r**2 + 3*r - 6*r**2 + (-r - 5*r + 3*r)*(0 + 0 - r) - 4*r**2 - 3*r**2 + 5*r**2 to the form h + m*r**2 + a*r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1667.\nAnswer: -166.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844287722.\nAnswer: 2, 1422143861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202\/3 - -203\/3. What is the closest to k in 1\/2, 1, -2, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89\/8 + -695\/56. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 4:44 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**8\/1344 - o**7\/2520 - o**6\/720 - o**4 + 7*o. Let q(y) be the third derivative of h(y). Determine q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 7*i - 74 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(98) + 1))**2.\nAnswer: 56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*j + 15, 2*h - 11 = -3*j + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 38464a0 (base 11) to base 16\nAnswer: 65c79b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.109 + -0.256. Let l = y - -0.917. What is l rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**3\/18 - 5*p**2\/6 - 25*p\/6 + 10. Factor o(s).\nAnswer: -(s + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00140441815 rounded to five dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**7\/35 - 11*d**6\/60 + d**5\/60 - 4445*d**4\/24 + 7950*d**2. Find the second derivative of g(m) wrt m.\nAnswer: -72*m**2 - 132*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 260595892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1 - 2*o - o - o**3 - 5*o**2 + 5 + 3*o**2. Is j(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(162))**2 - sqrt(162) - sqrt(162)) + sqrt(162) - (1 + sqrt(2)*2)*-3 - (-4 + (sqrt(2880)*1)\/(sqrt(160)*-1)).\nAnswer: -18*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*h - 32, -2*f - 5*h = -19 - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:55 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*b + 182*b + 21571 = 5149 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 3, n: 2, q: 1, c: 1}. What is prob of sequence kjq?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**3 + 1 - 1 + 12*g**3 + 2*g**3.\nAnswer: 65*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 100*o - 100*o + 5*o**2 - 3 to v*o + d*o**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 40551.\nAnswer: 40551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(897\/108)*15\/((-315)\/14)\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 11956?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-5 - 0) - 43. Let i = 210 - 137. Let a = i + y. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from jnnnniinnjnjjnnjnnjj?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 5799671*y**2\/2 - 2899836*y.\nAnswer: y*(y - 5799672)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.9 - -41. Sort h, 0.05, -2, 1 in descending order.\nAnswer: 1, h, 0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17600370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 11*v**2 - 6*v - 40. Calculate the smallest common multiple of 16 and t(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r - 16 = -4*w - 91*r, -29 = -5*w + 4*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4*k = -4*x - 10, 5*k + 15 = 3*x. Suppose -x*y - 10920000 = -7*y. What is y rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27591110*s**3 - 27826909.\nAnswer: 82773330*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13*(10\/(-75))\/(156\/(-130))\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-10)*w*w*w*w**(-1))**39 assuming w is positive.\nAnswer: w**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 5 = -24*j. What is the closest to -1 in 0.6, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 233*m\/2 + 697\/3.\nAnswer: (m + 2)*(m + 697)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -10, -23, -36, -49, -62?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70202, 1, -3\/7, -26 in increasing order.\nAnswer: -70202, -26, -3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19127528 and 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - z + 1. Let r be x(5). Let q be (11\/22)\/(2\/20). Find the second derivative of -r*b**q + 34*b - 11*b + 56*b**5 wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19403, -38795, -58201, -77627, -97079?\n\"Answer: -n**3 - n**2 - 19382*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -4\/7 (c) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 + 2170094*f - 2170094*f - 9*f**3 - 1.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from wuwpwuupu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*t - 2*t**4 - 18717*t**3 - 2 + 9356*t**3 - 3*t**4 + 9363*t**3 to the form p*t**3 + h*t + z*t**2 + j + m*t**4 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 8*h + 4. Solve -5*u - 3*q = -3*u - 7, -h*u = -q + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -103\/5 and 6686 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6 - (-17 + 34 + -31)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 18 = 2*a, 20 = 4*b. Let n = a + 28. Are 28 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. What is the nearest to 2\/11 in p, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Suppose 2 = -f*k + 10. Suppose -4*u + z = -9, 5*u - 9 = -k*z + z. Solve -4*s + 8 = -u*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 0.5 (b) 4 (c) 5.8 (d) 2 (e) 0 (f) -114\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 8*y**3\/3 + 60*y**2 + 450*y + 470. Factor d(l).\nAnswer: 2*(2*l + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 115168093?\nAnswer: 115168093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -15.1. What is the second biggest value in w, 0.3, -3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/850*4\/14?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z + 4. Let w be c(0). Does 5 divide w\/((-5 - -2)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 52, 0, -5, 29.\nAnswer: -5, 0, 4, 7, 29, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 times -12.33642?\nAnswer: -11.3495064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1310142300 (base 5) to base 11\nAnswer: 18a2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2617 + -1351. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e6 + -36c53?\nAnswer: -3645c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 3*d + 3*d + (3*d - 2 - 2*d + d)*(481 - 481 - 102*d) in the form g*d**2 + l + n*d and give n.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*y**2 - 1)*(-3 + 4 + 0) + 1164*y**2 - 1156*y**2 + 397*y - 311*y + 774*y.\nAnswer: 10*y**2 + 860*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 199517256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -133.\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 282. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 406 - 16. Suppose w + 5*w = -c. Let n be 39\/w + 116\/10 + -1. Calculate the highest common factor of 70 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g - 21*g + 4037 = 266*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478686 is divided by 313?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12120111 (base 3) in base 4?\nAnswer: 333133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7374 and 63206241?\nAnswer: 3687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.14.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/7 - 393148992*c\/7 + 19320766238827008\/7 = 0. What is c?\nAnswer: 98287248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 5*m + 1. Let w(b) = 5*b**2 - 14*b + 4. Let i(v) = 8*q(v) - 3*w(v). Calculate i(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 51, 41, 27, 9, -13, -39?\n\"Answer: -2*g**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-783114)\/1880)\/((-8654)\/(-4) - -1). Let m = 15\/74 + w. Let q(y) = -y + 5. Let h be q(4). Is m > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9009, 8959, 8943, 8955, 8989?\n\"Answer: -n**3 + 23*n**2 - 112*n + 9099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/199 - 517\/3980. Let i = 17248 + -1034909\/60. Let d = i - h. What is the closest to -2\/3 in -3\/5, d, -3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 9 - 15 + 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 1. Suppose 5*i + 2*y = 7, 4*y + 1 = 2*i + 3. Suppose 0*n + 4*n = 20. Let o(x) be the first derivative of -x**2\/2 - 2. What is i*q(k) + n*o(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 482*a**4*f - 2*a**3*f + 6*a**3*p - 8880*a*f - 2*a*p wrt a?\nAnswer: 5784*a**2*f - 12*a*f + 36*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + (123 - (-53 - -87))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34870108 divided by 383188?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(0 + sqrt(7) + sqrt(7)) + sqrt(14)\/sqrt(2) + 1 - (-4 + sqrt(252)*-2*-6))**2.\nAnswer: 43687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*482\/3. Let m = -172 - d. Calculate the highest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 13*a - 25. Give i(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3485*w + 3489*w = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 150759 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0. Which is the closest to 2? (a) r (b) -2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.702291 centimeters to kilometers.\nAnswer: 0.00003702291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 6. Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1173 times 623\nAnswer: 730779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -264641, -264636, -264629, -264620, -264609?\n\"Answer: w**2 + 2*w - 264644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -46\/5 (b) 5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -249 in 0.7, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -631, -1306, -1971, -2626, -3271?\nAnswer: -3906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = -3*n, 13*t - 9*t = 2*n - 4. Let z = 8 + -11. Let m(w) = -w**2 - 6*w + 11. Let s be m(-8). Put s, z, n in decreasing order.\nAnswer: n, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1432 + 261. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/15*3\/(18\/(-4)). Which is bigger: -19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 - 128. What is the remainder when (528\/w)\/(-1 + (-24)\/(-20)) is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829.87km in centimeters?\nAnswer: 82987000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 14. Let o be t(-6). Let c be (-4)\/o*(-1 - -1). Suppose 0 = -3*g - 4*z + 18, -11 = 2*g - 3*g - 3*z. Solve c = -g*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 0 (c) 2\/11 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-76)\/(-20) - (-4 - 0) and -25\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8916409?\nAnswer: 853, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 9*x = 5*f, 8 = x - f. Let h be 1\/((1\/(-3))\/(-1)). Suppose l = -b + 22, -29 = -x*l + h*l + b. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4. Let k(f) be the first derivative of f**2\/2 - 7*f - 11. Determine 5*a(u) - 3*k(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, m: 3, s: 3, z: 2, g: 1}. What is prob of picking 1 g and 3 i?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, r: 3, n: 6}. Give prob of sequence zz.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.37065 micrograms in kilograms?\nAnswer: 0.00000009937065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awww when four letters picked without replacement from {w: 3, a: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 2615 = 15*n. Suppose -2*k - 3*q + n + 190 = 0, -3*q = -4*k + 1417. Suppose 11*v = 16*v - k. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 + 7*a**3\/3 - 11*a**2\/2 - 8*a - 3. Let f = -4 + -4. What is the units digit of g(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*x - 16, -4*m - 2*x + 6*x + 8 = 0. Put m, 2, 21 in decreasing order.\nAnswer: 21, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(12\/7)*w**(-1\/3)\/((w*w*w**(-1\/5)*w*w)\/w) assuming w is positive.\nAnswer: w**(-149\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*q**3 - 17*q**2 + 3 + 92*q**3 - 3.\nAnswer: 4*q**3 - 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 20 = -2*o. Suppose 2*m - 12 = -8. Let a be m\/(-1) + 7 + -10. Sort a, 4, o in ascending order.\nAnswer: a, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 4. Let f(g) = 2*g - 3. Let y(a) = 3*d(a) - 4*f(a). Let b = 6 + -4. Let k(n) = -2*n - b*n**2 + 2*n. What is y(k(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 516.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 10*q + 2. Let l(s) = 8*s**2 - 20*s + 5. Give 5*k(i) - 2*l(i).\nAnswer: -i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -w + 1, -7 = 2*l - 11. Let p(u) = u + 2. Let x(i) = 2*i + 3. Give w*p(m) + 3*x(m).\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 12*q**2 + 10*q + 4. Calculate b(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - h = 620, 4*l = 23*h - 22*h + 2480. Is 62 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 + 69 - 36 + 45*d)*(-13 + 32 - 439*d + 442*d)*(-2*d**2 + d - d) to the form m*d + i + b*d**2 + r*d**3 + w*d**4 and give r.\nAnswer: -1698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 14 = -5*p - 4*x, -3*p + x = -16. Find o, given that 8*o**3 + 0*o**2 - 6*o + o**2 - p*o**2 + 3*o**2 = 0.\nAnswer: -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 985*r. Let a(h) be the third derivative of 7*h**4\/24 + 2*h**2 + 27*h - 3. Give z(a(n)).\nAnswer: -98*n**2 + 6895*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2038 and 47\/10190.\nAnswer: 10190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z + 93. Let q be w(-7). What is the third derivative of -10*f**5 - q*f**2 + 18*f**2 + 52*f**5 + 32 - 19 wrt f?\nAnswer: 2520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147424 (base 8) to base 4\nAnswer: 30330110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(4\/11) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-40)*(0 - 1). Let h(w) be the first derivative of 0*w - 1 + l*w**2. Let t(r) = r**2. Give h(t(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**3 - 69*d**2 + 17*d + 36. Calculate v(17).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 27.02. Let p = k - -25. Sort 1, p, 15 in descending order.\nAnswer: 15, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/3, 4, 456, -4299, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w - 2. Let h(c) = -25*c + 197 + 0*c + 225 - 424. What is i(h(q))?\nAnswer: -125*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = -20*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 + -170 + 102 + -29?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f**2 + 2*f + 1. What is the least common multiple of 3 and i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*j**3 + 133*j**2 - 3479*j**3 - 133*j**2.\nAnswer: -3419*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-8) - (0 + (10 - 6)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 5*y + y**3 + y - 4*y + y as g*y + c*y**2 + q + r*y**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 35, 4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.431us in nanoseconds?\nAnswer: 9431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 9*k - 17. Suppose 5*o - 2*o - 54 = 0. Suppose 5*x = 2*x + o. Is 23 a factor of f(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, 165, 1 in descending order.\nAnswer: 165, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 344*y**3 - 12*y**2 - 1024*y + 688.\nAnswer: 4*(y - 1)**2*(y + 2)*(y + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 + 3196\/(-36). Let z = d + 99. What is the remainder when 37 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 22021102?\nAnswer: -22021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1949 and 71216460.\nAnswer: 71216460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2580 + 1733. Let d = i + 997. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:00 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -46*h + 96*h - 50*h - 15*h**2. Let a(r) = -r + 0*r + 3*r + 0*r. Give l(a(x)).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -755*l + 21137. What is w(28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 379728 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 19. Let k(j) = j - 1. Let p(u) = 2*u**3 + 5*u**2 + u. Let t(i) = -2*i**3 - 6*i**2 - 2*i + 1. Let c(o) = 6*p(o) + 5*t(o). Give f*c(b) + 5*k(b).\nAnswer: 2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 82 and -119333178206.\nAnswer: -119333178124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206\/21 + 2308\/231. Let a = -21 + 17.88. Let v = a + 0.12. Is u <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7020 = -15*x + 5820. Calculate the greatest common factor of x and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.465 + 0.255. Let u = z - 0.59. Let s = 3.04 - 0.04. What is the fourth biggest value in u, 2, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (231\/(-36))\/((-31)\/(-124)))*42\/(-28).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**3 + 757*j**2 + 116*j - 36 wrt j.\nAnswer: -30*j + 1514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (65 + (-139 - -66) - (1 - 19)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -857.184 + 857. Let v = r - 4.816. Which is the second smallest value? (a) -4\/9 (b) 6 (c) v (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/382850 and -131\/66690.\nAnswer: 10336950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 (base 3) in base 7?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155412643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (12 - 2 - 2) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p = 69283 - 61795 for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3657555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153365688 and 4410?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 2. Let v be c(2). Let x = v + 0. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104.9445 + -0.0555. Sort 0, 0.2, j in increasing order.\nAnswer: j, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1277*z**2 - 4*z - 61. Let n be r(10). Suppose 7*o + 35570 - n = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7423 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340.75 + 344.75. Let y = 0.11 + -0.21. What is the smallest value in 1, g, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 27*t**4\/8 - 1207*t**3\/4 + 12611*t**2\/2 + 21367*t - 65596 = 0?\nAnswer: -124\/27, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 804, 7584, 26306, 62940, 123456?\n\"Answer: 995*h**3 + h**2 - 188*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26764 or -2244?\nAnswer: -2244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50278 - -6999?\nAnswer: -43279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -935\/194 - 4\/291. Let g = 3092 - 18509\/6. Calculate the common denominator of u and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -80. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 29.3, 385, -0.3 in increasing order.\nAnswer: -3, -1, -0.3, 29.3, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(2448)*-2 + sqrt(17)) - (-1*(sqrt(1377) - (sqrt(1377) + 1)))**2) + 0)*5.\nAnswer: -575*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 95321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.7 + -142.3. Let p = 0.4835 + 1.5165. What is the nearest to 0 in 0.3, l, p, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.06 - -7. Let w = -1524.8 - -1525. Which is the nearest to w? (a) -0.4 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 - 2*f**2 - 2*f - 1. Let v be q(-1). Solve 0 = -4*s + i + 1, v*i + 2 = -2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.3 - 26.51. Let q = z + 0.01. Let c = 1.1999969 + q. What is c rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024866572 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j**2 - 12*j.\nAnswer: -4*j*(4*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2645554304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c - 397c?\nAnswer: -3710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*p*r + g*p + 4*g*r + 54*g + 2*p*r + 508*p + 7 with respect to p.\nAnswer: 2*g*r + g + 2*r + 508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(270\/(-48)))\/((-2)\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - (67 - 162)) + 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/5)\/i**1*i**(-3\/8)\/(i**(-1\/4)*i) assuming i is positive.\nAnswer: i**(-101\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 - 0.18. Let w = -0.14 - a. Let o = w + -0.22. What is the closest to 1\/4 in -0.1, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -366*d + 1979*d + 581*d - 166744 = 0 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*v + 1, 3 = 3*h + 4*v + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 84179215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -7*w**6\/60 + w**4\/24 + w**3\/6 + 6*w**2. Let t be c(-2). Suppose 0*a + 449 = 4*g - 3*a, 2*a + t = g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.178 + 0.657. Let d = -0.021 - h. What is the fourth smallest value in d, 3, -0.4, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) 0.069 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 104950, 105001, 105114, 105319, 105646?\n\"Answer: 5*p**3 + p**2 + 13*p + 104931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*y + 1007 = -2546, 2*f + 3*y = 2397. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 14\/(56\/36)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*x**2 - 7*x**6 + 2*x**2 - x**6 - 2*x**2 - 208*x + 207*x + 8*x**5 wrt x.\nAnswer: -960*x**3 + 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - y + 5*y = -204, 5*y = s - 71. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, x: 1}. Give prob of picking 1 x and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i = 52*i + 40*i + 2714 for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n - 227 = l, -n - 1159 = 5*l. Let y = l - -241. Calculate the lowest common multiple of 55 and y.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*d - 155 = -145 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-144) + 4\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 119*y**3 - 8*y**2 - 8*y + 8. Let m(p) = -79*p**3 + 5*p**2 + 5*p - 5. Give -8*m(z) - 5*o(z).\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - b. Let n(p) = -7*p**2. What is n(j(q))?\nAnswer: -63*q**4 + 42*q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 3. Let z be b(5). Let h(g) = 2*g + 1. Let j(s) = -3*s - 2. Let k(a) = z*h(a) + 5*j(a). Let f(d) = -d**2 + 1. Calculate -2*f(o) - k(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -1\/14 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -3*l**5\/4 - 5*l**2 + 21*l. Let r(v) = 4*v**2. What is r(m(k))?\nAnswer: 8100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w - 7 + w**3 + 7 to v*w + r*w**3 + n*w**2 + b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2587793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 18*k + 149. Determine u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3*c**4\/4 + c**3 + 8. Let y(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3 - 136*d**2 - 1218*d - 1516571?\nAnswer: 3*d**2 - 272*d - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 460 - 312. Let b be ((z\/(-3))\/4)\/((-16)\/(-48)). Is b bigger than 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6665519*w**3 + 652 - 421*w**4 + 6665519*w**3 wrt w.\nAnswer: -1684*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let g(t) = -t. Let r(x) = -x**2 - 4*x - 1. Let o(z) = 5*g(z) - r(z). Let j(k) = -6*k**2 + 3*k - 3. Let v(n) = j(n) + 3*o(n). Give v(i(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6*f - 4. Determine j(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Let n be 6\/(-14) + 19\/77. What is the second biggest value in -0.5, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + -74. What is the common denominator of -55\/12 and (-1)\/(-12)*k\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 218, 498, 902, 1436, 2106?\n\"Answer: c**3 + 53*c**2 - 4*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 296 = -11 + 97. Suppose -25 = -5*w - 0. Calculate the highest common divisor of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:31 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*s**2 - 3 - 13*s**2 + 6 + 9*s**2 - 6 as a*s + l + x*s**2 and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 - (-37)\/7. Suppose -2*b + 1 - w = 0. Let o = b + 9. Let f(k) = k**2 - 7*k - 6. Calculate f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 2\/7 (c) -2\/15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65857 - 88\/(-55)*5?\nAnswer: 3, 5, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*i = -1291 - 6238 - 87 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(15\/(-2)))\/(2\/(-12)). Suppose n*g + 145 = s - 0*s, 2*g - 2*s + 68 = 0. Put 3, g, 2 in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bic when three letters picked without replacement from ybsxcci?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from lylltye?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n = -66. Let k(l) = -5*l. Let s be k(-11). Calculate the greatest common factor of n and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -145\/2. Let u(c) be the first derivative of -1\/2*c + 3 + r*c**2 - 1\/6*c**3. Find a such that u(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(750))\/sqrt(10) + 5.\nAnswer: -5*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z - 1. Let g(s) = -s**3 - 7*s**2 + 7*s - 8. Let m be g(-8). Let j(x) = -6*x**2 + 2 + 3 + 4*x + m. Determine j(u) + 4*q(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:12 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*c = 203*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -28*m**2 - 4*m - 3. Calculate l(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**3 - 477*g*v + 2376*v wrt g?\nAnswer: -6*g**2 - 477*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, -0.4, -0.1, 0.9634, 3, -4.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110 - -129 - (6 - (-4 - 9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-14) - -4)\/((-183)\/63 - (-12 + 9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 36*n**3 + 5*n**2 - 3*n - 14. Let f be i(-4). Is f\/(-3) + (-18)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*o - 7 = -2*s, 0 = s + 3*o - 13. Suppose 0*v = 3*v + 12. Let r be ((-40)\/14)\/(v\/14). Solve -7 = 4*w + 3*h - 0, r = -5*w - s*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -5*x**2\/2 + 223*x - 228. Does 3 divide k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -5\/3 (c) 130 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 471*f + 33364. What is a(-62)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(-1*sqrt(7))**2 + (sqrt(112)*-2)**2.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2185 = d, -d - 453 = -j + 2*d. What are the prime factors of j?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584466219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29384006*i**2*s**2 - 16*i**2*s + 60*i*s + 64*s wrt s?\nAnswer: -58768012*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13.769g?\nAnswer: 13769000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 936, 3667, 8250, 14691, 22996, 33171?\n\"Answer: d**3 + 920*d**2 - 36*d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/12)\/((-6)\/27). Suppose -u + 1451 = 3*k - 0*k, 2*u + 1436 = l*k. Suppose 37 = -5*m + k. List the prime factors of m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (sqrt(300) + 1*sqrt(300))**2 + -3 - (1 + sqrt(300) + 1)) + 2.\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*r + 67*r - 15. Let s be (-1)\/((-7)\/4 - -2). Put s, -1, 0, r in decreasing order.\nAnswer: r, 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x + 12. What is the third derivative of 6*w**2 + 16*w**3 - 10*w + 10*w + x*w**2 wrt w?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -85.1. Let o = v - 19.1. Let m = o - -26. Which is the closest to m? (a) -2\/9 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444583324 is divided by 4863?\nAnswer: 4859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 290 = -1951. Calculate the highest common divisor of 21 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 - 12*p**2 + 4*p + 59. Let a(f) = 39*f**3 + 60*f**2 - 21*f - 294. Let l(j) = -5*a(j) - 24*u(j). Determine g so that l(g) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/3 (c) -0.1 (d) 6 (e) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*y + 24224 = 178*y - 100*y + 3797 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**6\/30 + 184*h**5\/25 + 373*h**4\/10 + 1124*h**3\/15 + 751*h**2\/10 + 188*h\/5 + 612. Find z, given that l(z) = 0.\nAnswer: -1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -998*g + 1001*g + m, 4*g + 28 = 4*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*l - 16 = 0, 2*u - 4*l + 8 = -0*u. Factor 1 - 4*s**4 + 4*s**2 - 2*s**3 + 4 - 5 + u*s**5.\nAnswer: 2*s**2*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - 12.2138367?\nAnswer: 60.7861633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6 - -2)*(-90120)\/12016.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -398\/23 and -0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (1 - -2) + -3. Suppose f = 4*q - 16, 3*o - 4*q + 3*q = 2. Suppose o*g = -32 + 152. Calculate the highest common divisor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from ohooffofoxopfpo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.94. Let k = 0.02 - g. Let o = k + -0.96. Which is the second smallest value? (a) 2\/7 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 1. Let i(y) = -3*y - 1. Let l(r) = -3*i(r) - 4*j(r). Let g(b) = 7*b - 9. Give -g(z) + 6*l(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*t + 133*t - 64*t**2 - 68*t + t**3 in the form m*t**3 + z*t**2 + g*t + j and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-4\/3)\/(b**(-8\/9)\/b**(4\/5)) assuming b is positive.\nAnswer: b**(46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 + 112647892*h**2\/5 - 793096554280864*h\/5 - 2379290676673728\/5.\nAnswer: -4*(h - 14080988)**2*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z + 3*z)*(-1609 - 3440 - 172 - 2497 - 229) to l + w*z and give w.\nAnswer: -15894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 4 = 2*i, 4*i + 4*n = -1 + 12 - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34001, 34044, 34163, 34394, 34773, 35336?\n\"Answer: 6*g**3 + 2*g**2 - 5*g + 33998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 10) to base 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-1)\/4 + 1\/(-2). Suppose 0 = -4*x + 3*l - i, 4*x + 4*l - 6 = 6. Which is bigger: 168 or x?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 55. What is the units digit of 4\/(-6) - n\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -6 + 2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/15 and -61\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -20*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 7865 - 7874. Sort y, 3, 2, -12, -3.\nAnswer: -12, -3, y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 4. Suppose -2*i + y = 2*i. Suppose -4*z - 14 = -3*t + z, i*t = 4*z + 8. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 19, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*u = -4*c + 83*u + 160, -2*u - 80 = -2*c. What is the common denominator of 9\/224 and (-23)\/(-8) + c\/(48\/(-6))?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m - 24. What is the units digit of v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0 + 2*g + 0*g**4 + 23\/30*g**6 - 1\/6*g**3 + 0*g**5 + 0*g**2. Find the second derivative of q(h) wrt h.\nAnswer: 276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4131422399 to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -104 (b) -3 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45019, -2\/5, -3, -1 in increasing order.\nAnswer: -45019, -3, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.7, 2, -4, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 18*k - 175. Let a be i(-25). Which is bigger: a or -3\/2366?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + -11 - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 1766400.\nAnswer: 1766400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - 176. Suppose -11 = -r*v + 2*v. Solve 4*w = 5*w - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*j + 5*g, 52 = -4*j + g + 4*g. Let n = 88 + j. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((-78)\/(-12)*2 - -1). Is -21 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 - -136. Let n(p) = 0*p**3 - 1 + p - 2*p - p**3. Give n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-10)*-2 - (-8 - (-810)\/(-25)). Calculate the greatest common divisor of 12363 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26214684.\nAnswer: 2, 3, 2184557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048 = -14*k - 884. Let o = k - -140. Solve 5*a + 0*a = o*f + 23, -28 = -4*a + 4*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*p = -0*p - 1924, 1900 = 4*n - p. Let q = n + 87. Let b = 1082 - q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -16*m + 210. Let x = 678 - 456. Calculate the remainder when x is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4312.9 rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/14 and 6\/21 + 2\/((-28)\/(-13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3248654 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 122 - 32 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -18, 6, 46, 108, 198?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1715 = -g - 4*g. Let j = -1365\/4 + g. Let x = -2967\/4 - -735. Find the common denominator of x and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1714564042580 - -0.3\nAnswer: -1714564042579.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 6694906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -3*n, 4*n = -4*s - n + 36. Let k(q) = -q**3 - 19*q**2 - 65*q - 75. Let g be k(-15). Solve g = s*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmrm when four letters picked without replacement from {m: 3, b: 1, r: 12}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2876775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duxj when four letters picked without replacement from fuxxxfxuxuxxxrrjdfx?\nAnswer: 3\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0, -3, 3, 0.4, 106?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32166, 32752, 33336, 33912, 34474, 35016, 35532?\n\"Answer: -k**3 + 5*k**2 + 578*k + 31584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2353 is divided by 144.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00702 to four decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 29 + 14)*(-508 + 508 + 10*y**3).\nAnswer: -400*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 658717 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101011100 + 10?\nAnswer: 100101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(605) + sqrt(605)*1)**2 + -1)*-2 - ((5 + -1 + sqrt(125))*6 + -2).\nAnswer: -30*sqrt(5) + 29006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -23, 3 in decreasing order.\nAnswer: 3, 0, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 - 2 + 2)*(2 + 0 - 4) + 0*d**2 + 6*d**2 + 4*d**2 to the form z*d + p + u*d**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/19 - 66140*g**2\/19 - 860158*g\/19 = 0. Calculate g.\nAnswer: -13, 0, 33083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -45, 4, -20, -9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 2. Let s = 16 - 11. Let b be j(s). Suppose -b*u + 5*m = -4*u + 17, 4*m - 13 = 3*u. Let q(v) = v**3 + v**2 - 2*v - 2. What is q(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, l: 3}. What is prob of sequence ld?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/11 and 23\/199409?\nAnswer: 2193499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11501 - -11500.99981509. Round t to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*a**3 + 2*a**2 - 2*a**2 + 102*a**3 - 163*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2938546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 28571.\nAnswer: 3\/28571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159980, -319956, -479932, -639908, -799884, -959860?\nAnswer: -1119836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55345 - -52500?\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 90735 and 90727 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 4*v + 1092 = -6*t, 2*v = -2*t + 728. Calculate the highest common divisor of 56 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 801*a**3 + 799*a**3 + 801*a**3 + 810*a**3 - 3240*a**3.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 13 + 2*u**2 + 12 + 14.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 15. Suppose y*i = 20 + 4. Suppose i*d - 40 = 3*d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(6\/7)*i*i**(5\/2))\/(i**(-4)*i*i**8))\/((i*i*i**0*i*i*i)**(7\/6)\/(((i**(-1)\/i)\/i)\/(i\/(i*i\/(i**(2\/3)*i))))) assuming i is positive.\nAnswer: i**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242\/7 - -24456\/707. Which is the closest to h? (a) -9 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/360 + j**5\/60 - j**4\/36 + 2*j**2. Factor f(z).\nAnswer: -z*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/11 - 98*j**2\/11 - 1552*j\/11 - 3720\/11.\nAnswer: 2*(j - 62)*(j + 3)*(j + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6320 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13722465 - 4.\nAnswer: 13722461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t**3 + 3*t**2 - 12*t - 24. What is the hundreds digit of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 11, 1570 in descending order.\nAnswer: 1570, 11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -48. Is 4 a factor of (3 - 78)\/p + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 7. Let d be c(-6). Let r = -37 + 36.77. Let t = r - 0.27. What is the nearest to d in -2\/3, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 47*b**7\/42 - 590*b**3\/3 - 863*b. Find the second derivative of i(k) wrt k.\nAnswer: 940*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/2227 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8659606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 + 91284*q**2 + 2783240511*q\/2 + 85929917637.\nAnswer: 3*(q + 62)*(q + 30397)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 436\/5450 + 2\/(150\/(-231)). Let j(v) = -v**3 - v**2 + v - 3. Let o(c) = -4*c**3 - 2*c**2 + 2*c - 10. Determine s*o(m) + 10*j(m).\nAnswer: 2*m**3 - 4*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 5*n**2 + 3*n - 4. Let h be t(3). Let d(v) = -2*v**2 + 28*v + 3. Let m be d(h). Suppose 0 = 3*g + g. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + -7 + (44 - 31 - (-1 + 12 + -3)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2684 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-15))\/((-3)\/(-90)). Let g = 39 + b. Solve 5*o + x - 2*x + 20 = 0, 0 = g*o - 2*x + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 6*q + 39. Give d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hajhshj. What is prob of sequence sa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 121 - 224 = 4*i, 0 = -2*i + 4 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294 is divided by 186?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3117581*p**2 + 6235168*p**2 - 16 - 3117575*p**2.\nAnswer: 12*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let b be v(0). Let r(f) be the first derivative of b*f - 1\/2*f**4 - 2 - f**2 + 4\/3*f**3. Suppose r(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l = 3*y - 13, 2*y + 4*l - 12 = 0. Suppose -2*a - 13 = 2*s + a, y*a = 4*s - 24. Which is bigger: s or -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*226.9.\nAnswer: -907.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 2*p. Let x be m(5). Let k = -181 + 346. What is the highest common divisor of x and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*g**3 + 2*g**2 + 2*g + 3 + 2*g**4 - 110*g**3 - 5 to j*g**3 + f*g**4 + m + c*g**2 + r*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 46, 11, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-2)\/32*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulne when four letters picked without replacement from eeufeefllnlu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1079, -481, -4 in descending order.\nAnswer: 1079, 2, -4, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226957393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327473?\nAnswer: 327473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 7 - 62, 2*k + 3*k - 2*n - 7 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 - 6*n - 1. Let b = 8 + -6. Let v be b\/7 - 264\/(-56). Give a(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*t - 5*t + 3*t)*(-1 - 5 + 4) - t - 1 + 1)*(2 - 1 + 13*t**2 - 44*t**2)*(-3*t + 6*t + 0*t).\nAnswer: 279*t**4 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**6\/120 - n**5\/30 + n**4\/6 + n**3\/2 - 8*n**2. Give c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffggfffffggfffgffff. Give prob of picking 2 g.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + (-58607)\/(-1957) + 56.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4472061*h + 4472053. What is d(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 5*o - 10*o)*(-2*o - 2 + 2) + (-5 + 4 + 2)*((o + 2 - 2)*(0*o + 0*o + 2*o) - o**2 + o**2 - o**2).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3\/2 + 443685*t**2\/2 - 221811*t - 4436820 = 0?\nAnswer: -4, 5, 147894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341 (base 8) to base 15.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304.6 - -280. Let c = 20.03 + p. Let h = -0.53 + c. Round h to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 980389563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 719056205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.02 (b) -142 (c) -1 (d) -0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 15*q - 18. Let p be n(17). Suppose p + 7 = k. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - r**2 - 1. Let x(o) = -o**3 - o**2 - 1. Suppose 0 = 4*a - q + 11, -4*a - q - 12 = 9. What is a*x(f) + 3*j(f)?\nAnswer: f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/((a*a**(2\/21)\/a*a)\/a*a))\/a)*a)\/a**22)\/(a**21*a\/a**(-18)) assuming a is positive.\nAnswer: a**(-1237\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 13*n. Let y be c(13). Suppose y = 2*u - 5*p - 0 - 5, -4*u = -4*p - 28. Let r(m) = 3*m + 4. List the prime factors of r(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/10)\/(y*y**(3\/2)))**6*(y**1\/(y\/(y**1*y)*y))**(4\/33) assuming y is positive.\nAnswer: y**(-2752\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 - 187. Let j be (-6)\/((20\/50)\/((-8)\/30)). Solve c + 2 = -2*f, -4*c - j*f + f - r = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3171 - 3094 - 3080 + 9151 - 4*b + 39*b in the form x + i*b and give x.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 7*n = 20. Suppose 2*o = n*o - 4. What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/16 + (-699795)\/72)\/(-1). Suppose 57*b + 1511 = p. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68772 + 68818.889. Let u = k - 46.7. Round u to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnsn when four letters picked without replacement from {n: 3, l: 2, s: 6, d: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 980 divide 1564644480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 2. Calculate the remainder when u(4) is divided by -1 + (-6)\/(-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (40\/14)\/((-8)\/(-644))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igfzzzfifmmmffifvzg. What is prob of sequence gmv?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.13091 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 - (10 - -20))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 48 = 2*r, -5*x - 3*r = -76 - 48. What is the remainder when 47 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((32\/(-66))\/(-8))\/((-10)\/15))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 3*u**2 + 8*u + 9. Give f(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 + -2 + 2)\/(-11))\/1243. Let c = 1244227\/109384 - l. What is the common denominator of c and 89\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42, -117, -192, -267, -342, -417?\n\"Answer: -75*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 28057*z**3 + 5 + 302003*z**3.\nAnswer: 330060*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 8*v - 13. Let r(j) = 2*j + 8. Let w be r(-9). Let c be u(w). Let l be 21\/(-3)*6\/c. Is -7 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m - 61. Let f be b(4). What is the remainder when 45 is divided by 25 + f\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00333846 rounded to 5 dps?\nAnswer: -0.00334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*65203.\nAnswer: -2608.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l. Let u be q(-1). Let z be (6\/u)\/(7\/14). Suppose -z*v + 0*v = -12. Sort 1, v, 5 in decreasing order.\nAnswer: 5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 87 = -4*f, -f - 97 = -2*i - 2*i. Let w = 27 - i. Find the third derivative of -12*x**2 + 0 - x**6 + 0 + w*x**2 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 16*g**2 + 3*g + 48. What is w(-5)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - 4*sqrt(190)*2) + sqrt(190))\/(sqrt(40)*2))**2 - (sqrt(931)*-2*5*5)**2.\nAnswer: -9309829\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrag when four letters picked without replacement from {r: 3, l: 1, g: 3, a: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*b + 1. Let m(x) = x**3 - 8*x**2 + 5*x - 1. Let h be m(7). Let k be (h\/(-18))\/(170\/17). Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 542 = q, -552 = 4*w + 2*q - 6*q. Let t = 140 + w. Suppose 0 = -0*i + 3*i + t*o - 1517, i = -o + 505. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(72)) - (6*(sqrt(2) - -1*sqrt(2)) + (sqrt(72)*-2)**2).\nAnswer: -288 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7889, 7866, 7841, 7814, 7785, 7754, 7721?\nAnswer: 7686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248\/5*w - 24 + 4\/5*w**3 - 134\/5*w**2 + 2\/5*w**4 = 0.\nAnswer: -10, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 14 - 2 = 0, -g + 6*f + 23 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 107\/6 (b) -4\/3 (c) 5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**2 - 2*y - 8. What is a(2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299111.\nAnswer: 113, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.3396 to 1 dp.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5) + 3 + 35 + 0 + -3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m**2 + m - 1. Let s(w) = -3*w**3 + 4*w**2 + 2*w + 4. Let t(a) = l(a) + s(a). Let p(i) = 4*i**3 - 5*i**2 - 5*i - 5. Calculate 3*p(d) + 5*t(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 3*s + 2. Let t be w(-2). Let g be 9*t\/12 + 90. Suppose -g = -4*l + 75. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxbo. Give prob of sequence oxxb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10534 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 24988*u + 949548. Give v(-38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -1\/2*n**2 + 0 - 1\/4*n**4 - 3*n + 0*n**3. Differentiate v(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.43 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkrrkrkkrkrkkrrk. What is prob of picking 1 k and 1 r?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 51*v + 84. Let t be u(-27). Let p(s) be the second derivative of -s**2 + 0 + 4*s - 1\/18*s**4 - 4\/9*s**t. Factor p(c).\nAnswer: -2*(c + 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 + 4*o + 7. Let s be 3 - ((-4)\/(-24) + 3\/(-18)). Let p be h(s). Which is greater: 9\/11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**2 + 0*c**2 - 86*c + 86*c - 73. Let m(f) be the first derivative of -f**2 - f - 5. Calculate 3*m(t) + 2*w(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108981401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9896433 divided by -2\nAnswer: -9896433\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -69\/28, -0.10593, -3 in decreasing order.\nAnswer: -0.10593, -69\/28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 13*r**2 + 13*r + 19. Let h be u(-12). Suppose h*d - 4*d = 15, -5*g = -4*d + 40. Put 2, g, 1\/5 in ascending order.\nAnswer: g, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 88, 260, 564, 1036, 1712?\nAnswer: 2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 37 + 51. What is the common denominator of -2 + -1 - s\/9 and 8\/25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 45 = -5*x - 64, 2*t + 4*x = 136. Suppose 0 = 5*z - 2*g - 191 + 48, 4*g - t = -2*z. What is the remainder when z is divided by 10 + 2\/(-4)*0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 5, x: 1, d: 6, l: 1}. Give prob of sequence aa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -71*z - 3407. Let a be j(-48). Let d be 11\/4 + (-2)\/(-8). Let g be (d*3)\/((-3)\/(-2)). Solve -i + a = -3*m, -4*i + g*i + 8 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1021047 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((3 - 2) + 0)*-9. Let v = 102.46 + -103. Let k = 0.44 + v. Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16588 and 25432?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4204 + -4190. What is the smallest common multiple of 1099 and d?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 + 2843 = 11*v. Let r = 455 - v. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 7 = -7. Let s = j - -35. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -6, -2, -19, 0.5.\nAnswer: -63, -19, -6, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-5 - (-17 + 10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*g = 180, -5*g + 37 = 4*r - 89. Let d be 2\/((-6)\/(-309)) + -1. Suppose d + 28 = 5*f. Calculate the highest common divisor of f and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 18533.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 16 = -18*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -337*w**2. Let x(n) = 11*n**2 - 96*n + 3. What is x(m(p))?\nAnswer: 1249259*p**4 + 32352*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -2 - (5 + -3)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8921*z**3 - 3 + 4311*z**3 + 4587*z**3.\nAnswer: -23*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 687 and 591?\nAnswer: 135339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2418 divided by 31.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 35, 45?\n\"Answer: 10*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, c: 2, u: 11}. Give prob of picking 2 c and 2 k.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 3*c + 1, 395*c + 12 = -4*b + 391*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwesnwnxxsewnnwanwww. Give prob of picking 1 s, 1 w, and 2 n.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/((sqrt(108)\/sqrt(3))\/sqrt(4) + sqrt(9)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -22. Let a = n + 30. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*6*253\/(-69) - -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30\/11, 2, 0, -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 + 2 - 2)*(31524*p - 17121*p - 16568*p) to r*p**3 + o*p**2 + m*p + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) -2 (c) 3 (d) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.92238827 to 1 decimal place.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-2 - 2) + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -30. Suppose -3*a + 747 = c*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*z + 953 - 1642 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 1:26 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -33\/128, -2\/7, 0.7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(5) - sqrt(320)*-3) - (sqrt(405)\/sqrt(9) + 5)) + -5.\nAnswer: -10 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168150 and 75667500?\nAnswer: 75667500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 49*x + 65*x = 25*x - 2432 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40617 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 3*j + 6, -3*r - 3*j + 10 = -8*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-1*34\/(-4642445)). Round c to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5302127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -1\/2*k**2 + 9 + k. Let q = -7 + 8. Calculate g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777422787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 4*n = -38 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 52 (b) -2 (c) 24707\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 at least as big as 1744\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 11*j + 19)*(0*j - 4*j - 15*j).\nAnswer: 209*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/21*(34920\/(-1164))\/((32\/1)\/(-1))?\nAnswer: -35\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8\/3*z**2 - 2\/3*z**3 + 0 = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eevvxvvuev. Give prob of picking 1 x and 3 e.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/27 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**7\/168 - d**6\/60 + d**3 + 6*d. Let v(h) be the second derivative of y(h). Find the third derivative of v(s) wrt s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 83.9. Let l = b + 83.9947. What is l rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7\/((p\/(p**(-2\/3)*p))\/p))**(-6))**(-7\/10) assuming p is positive.\nAnswer: p**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5287.615 milligrams in grams?\nAnswer: 5.287615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4*t**3 + 3 + (-2*t - 2*t + 6*t)*(t - t + t**2) - 10*t**3 - 11*t**3 - 10*t**3.\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 2\/101833, 2?\nAnswer: 2\/101833","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -18*a**2 + 8*a + 1. Let o(b) = -b. Give 6*o(x) + q(x).\nAnswer: -18*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1022201211 (base 3) to base 9\nAnswer: 38654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -406?\nAnswer: 48.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0*y**3 + 3*y**3 - y**2 + 2 - 1 to the form n*y**3 + p*y**2 + v + i*y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18 and -52\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -380369\nAnswer: -456442.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkg when three letters picked without replacement from {y: 1, x: 5, z: 1, g: 2, k: 1, b: 3}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 - 3*s**4 + 3*s**4)*((1 - 1 - 2*s)*(-1 + 0 + 8) - 2*s - s + 5*s)*(1 + 3 - 6).\nAnswer: -48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -312188.\nAnswer: 2809692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*f**3 + f - 45*f**3 + 47*f**3 to the form v*f**2 + s*f + i + j*f**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -338*g**3 + g**2 - 421*g - 851. List the prime factors of t(-2).\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -130\/3*x + 21*x**2 + 1\/3*x**3 + 0 = 0.\nAnswer: -65, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 + 13*z**3\/3 - z**2 - 17*z + 7. Let w be v(-13). Let n be ((-7)\/w - (-2)\/(-9)) + 2. Solve h + 0 = -n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211418952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 271 = -253. Let o be 5\/(-20) + 26\/8. Factor -d**2 - 3*d**3 + 3*d**o + 2*d**2 + d**w.\nAnswer: d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -36, 0, 1, 149, 2 in decreasing order.\nAnswer: 149, 5, 2, 1, 0, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.001 + -23.001. Let c = 73 - 93.3. Let s = m - c. Round s to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99805798430 + 13.\nAnswer: 99805798443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let a(c) be the second derivative of c**6\/360 + c**3\/2 + c. Let w(b) be the second derivative of a(b). What is w(k(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/26 - 120\/(-30). Let x = -3.2 + 3. Which is the biggest value? (a) x (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1452 (base 9) to base 5.\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/11)\/(-6)*(-6)\/(-138)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-133)\/(-361) - 238280\/5624) + (19 - -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d*d**(-1\/6)*d)))*d*(d*d\/(d*(d**(1\/9)*d)\/d))\/d)\/(d*d**(2\/11)\/d)**46)**(1\/7) assuming d is positive.\nAnswer: d**(-235\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -16*i + 3*w + 6, 2*i = -5*w + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 - -31 - 255 - (9 + 2 - -2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3332 from 181.04.\nAnswer: -3150.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 304, -20 in descending order.\nAnswer: 304, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.4. Which is the nearest to 2? (a) o (b) 3\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 5*s - 72 = 0. What is the highest common factor of s and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.2 - 9. Let g = -9 + 6. What is the smallest value in -0.5, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -7)*(88\/(-28) - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -28.57. Let o = 0.43 + c. What is the smallest value in 3, o, 0, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20258 at most as big as 20913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:21 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330 (base 9) to base 10.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnm when three letters picked without replacement from {o: 2, n: 2, v: 8, m: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 700 and 17444?\nAnswer: 436100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5259 is divided by 210.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 10*r**2 + 4*r - 11. Suppose -l = 3*x - 149, -8*x + 3*x - 562 = -4*l. What is the remainder when l is divided by m(10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 3, e: 3, y: 1, r: 1}. What is prob of picking 3 f and 1 y?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 119, 3.2, 2\/9, 1 in descending order.\nAnswer: 119, 3.2, 1, 2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 - 389474*r\/13 - 89880.\nAnswer: 2*(r - 194740)*(r + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/24264630 and -91\/5580?\nAnswer: 48529260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) -0.3 (c) 14007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -827ce - -3?\nAnswer: -827cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2 + 3\/2). Suppose 4*u - 29 = -3*p, 5*u + 6*p = d*p + 35. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 975 and 90.63.\nAnswer: 1065.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 - 326*c + 17499.\nAnswer: (c - 921)*(c - 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2652, 8857, 19204, 33699, 52348, 75157, 102132?\nAnswer: 133279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Determine v, given that -1 - 7*v + 1 + 2*v**5 - 4*v**p + 4*v**2 + 5*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(425) - (-3 + sqrt(425)*2)) + (-6*(sqrt(170) + sqrt(170)*2) + sqrt(170))\/(2*sqrt(10)*1))*-4)**2.\nAnswer: -1728*sqrt(17) + 49828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 477\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**30\/g**(-1\/18))**7 assuming g is positive.\nAnswer: g**(3787\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9240252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.6, 0, -32, 0.09 in descending order.\nAnswer: 5, 1.6, 0.09, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865, -884, -929, -1012, -1145, -1340?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -732*w + 90 + 737*w + 68 + w**2. Is b(0) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -534864953*j**2 - 827584*j + 310344. Let r(o) = 25852*o**2 + 40*o - 15. What is -5*m(d) - 103448*r(d)?\nAnswer: -12931*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -631, -644, -667, -706, -767, -856, -979?\n\"Answer: -y**3 + y**2 - 9*y - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -99. Calculate the greatest common divisor of 18 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/12 + 6 - 10. Sort 6, h, -31.\nAnswer: -31, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 19 + (16 - 28) + 173?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.6 and -29.\nAnswer: 481.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35165119.\nAnswer: 11, 97, 32957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-10))\/((-1)\/5). Let w(r) = -6*r. Let h be w(v). Let z = 7 + h. Put -3\/7, 1, z in decreasing order.\nAnswer: 1, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 + 3*z + 5. Suppose 4*i + 5*q - 15 = 0, 6*i - 23 = 2*i + 3*q. Suppose 9 = 3*m, 5 = 5*b + i*m - 0. Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (35\/14)\/(2\/(-5) - (-27)\/30). Solve k - 2*d = -4 + 1, -b*d = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opopoo. Give prob of picking 1 p and 1 o.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.9 + -374.9. Let n = 278.9 + m. What is n rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 3*m**3 + 73 + 9*m**3 + 34*m + 35*m - 7*m**3 in the form w*m**2 + g*m**3 + k + v*m and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 131?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-309)\/(-412))\/(6\/(-20))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 87\/2 (b) -2\/3 (c) -2 (d) 1\/2 (e) 8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let g(i) be the third derivative of -1\/30*i**5 + 1\/8*i**4 + 0 - 2\/3*i**3 + 0*i - 3*i**2. Let c be (2\/6)\/((-1)\/(-3)). What is c*g(x) - 4*j(x)?\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(30*u - 30*u - 8*u**3) + 7*u - 7*u - u**3 - 19*u**3 + 19*u**3 - 12*u**3 in the form z*u + q*u**3 + l*u**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568572795.1 - -19395.\nAnswer: 568592190.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(847)*-2 + -3)**2.\nAnswer: -88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*w + 35 = -w, 2*w - 15 = m. Let z = m + 3. Is 8\/(-10)*z\/2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o + 113. Let v be k(13). Suppose 0 = 5*c + 4*c - v. What is the remainder when c is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/(-3) - 24016\/9480\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2694740.3*-4.\nAnswer: 10778961.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y. Suppose 5*j - 3 = 4*j. Factor -6*d**j + 3*d**2 + 6*d**4 + y*d**3 - d**2 - 2*d**5.\nAnswer: -2*d**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 231. Let h be t(-73). Which is the fifth smallest value? (a) h (b) -4\/5 (c) 4 (d) 2 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 317*a + 320*a + 15 = 0, -l - 2*a + 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5 - 2*p**4 - 34*p**3 - 30*p**2 = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(1 + 12\/(-16)). Let o = -2 + j. Suppose m + 2*m - 63 = k, 0 = m - 2*k - 26. Solve o*z - 7*z + m = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398 by -199.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 2:23 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 6025 = k - 892, 5*v + 15 = 0. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(-14))*f**7*f)**24 assuming f is positive.\nAnswer: f**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-6)*-2*1\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404434.0068 rounded to the nearest one thousand?\nAnswer: 404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -173067?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40468*n**4 - n**3 - 85*n**2 + 292436553 wrt n.\nAnswer: -161872*n**3 - 3*n**2 - 170*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 + 7765384*f**3 - 15530780*f**2 + 7765392*f = 0 for f.\nAnswer: -1941348, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/(-7) - (-18)\/63. Suppose -y*t + t = -20. Calculate the remainder when 36 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + c**2 + 6*c + 7. Suppose -8*z = -11 - 29. Is 13 a factor of k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 4. Let r(i) = i**3 + 5*i**2 - 8*i - 8. Let b be r(-6). Let a be l(b). Suppose 0 = 21*j - a*j. Solve 0 = -p - j - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2686*s**3 + 99160*s**2\/3 + 72574*s\/3 + 1924\/3 = 0 for s.\nAnswer: -2\/3, -37\/1343, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476500*i + 1476496*i = -2*s + 232, 0 = 5*i + 3*s + 312 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1607\/248 + 9\/62. Let o = 385\/85004 + -1\/3228. Let z = 5693\/1185 - o. Find the common denominator of f and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*o**2 + 35*h**2*o + 2*h*o - 2*o**5 - 87*o**2 + 1 wrt o.\nAnswer: 4*h**2 - 40*o**3 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 534 - 540. Let p(x) = -x**2 - x - 1. Let c(y) be the first derivative of -4*y**3\/3 - 4*y**2 - 7*y - 12. What is u*p(d) + c(d)?\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.04748kg to nanograms.\nAnswer: 56047480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-586)\/14 + (-32)\/28 + 1. Let t = -46 - g. Suppose -29*n = -21*n + 88. Sort -1, n, t in descending order.\nAnswer: -1, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -7. What is the common denominator of c\/20*7*81\/(-7) and 25\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 76135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/21 + 1474\/18711. Let y = 7589\/3402 + s. What is the common denominator of 139\/12 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.392 - 231.13.\nAnswer: -231.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 5*t - 29. Let a be i(-9). Solve -a = g - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**5\/15 + w**4\/4 + 47*w**3\/3 - 143*w**2\/6 + 4716. Determine y so that h(y) = 0.\nAnswer: -11, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1450 = -3*a - 258, 2*a + 4*i - 776 = 0. Let h = a - 212. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s - 65. Determine x(-33).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + 103*l**2 - 74)*(-l**2 + l**2 + 2*l**2).\nAnswer: 206*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g + n - 89, 5*g = -3*n + 439. Suppose -g*t + 85*t = -1382. What is t rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-6))*l)\/(l*l\/l**(-2)*l*l))**(-16)*l**(-4)\/(l**4\/l)*(l*l\/l**(-4))\/l**(1\/6) assuming l is positive.\nAnswer: l**(1049\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let o be ((-2)\/s)\/((-2)\/9). Solve -20 = o*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/6 - 27*f**2\/2 - 52*f. Let s(w) = -2*w**2. Calculate m(s(u)).\nAnswer: 8*u**4 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*b + 88*b + 93 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 4:41 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -23, 1\/4, 4, -7\/67, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1398430654 to 4 decimal places.\nAnswer: -0.1398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4 + 1. Suppose -r = -2*o + o. Let y(p) = 591*p - 2366. Let u be y(4). Put o, -3, u in descending order.\nAnswer: o, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -1, -2\/6169?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 11*d**2 + 14*d + 6. What is m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/2 - 45878*q**2 - 1009213*q\/2 - 825705 = 0.\nAnswer: -91745, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -h - 24, b + 8 = -5*h - 8. Solve 0 = -x + b - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1 - (3 + -8 + 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.04, 0.3, 2, -3\/5, 17536?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 2*l**2 + l. Let u be x(2). Let s = 644 - 635. Let q be (-9)\/8*(95\/(-15) + 5). Which is the closest to 0.1? (a) u (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.75 + -1.45. Let q = u + 0.697. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (18 + 2)) + 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:37 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -220.6107*0.1\nAnswer: -22.06107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) -243 (c) -3 (d) -0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1662, 6, 1 in increasing order.\nAnswer: -1662, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 18\/7 - 12\/7*l**2 + 3\/7*l**3 + 3\/7*l = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.96+-31.4\nAnswer: -32.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094648719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 720, 1430, 2124, 2790, 3416, 3990, 4500?\n\"Answer: -2*j**3 + 4*j**2 + 712*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -292, -655, -1164, -1819, -2620?\nAnswer: -3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.1 + -21. Let f = -0.9 - y. Put f, 0.4, 2\/9 in descending order.\nAnswer: f, 0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 2*q = -2*u - 16, 23 = 4*u + 5*q. Find c such that -4*c**2 + 3*c**2 + 4*c**u - 4*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 0) + (124 - 138) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284287198 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5256*q**6 - 2*q**5 - 5*q**3 + 4*q**2 + 19*q - 1007.\nAnswer: -630720*q**3 - 120*q**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/4 + 21*x**3 + 351*x**2 - 33264*x - 627264.\nAnswer: -(x - 66)**2*(x + 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:27 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.33 + 11.67. Let u = m + -12.2. Let w = -0.6 - u. What is the smallest value in 0.4, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -9*f**4 - 18834*f**3 - 9821881*f**2 + 32896720*f - 27457600 = 0.\nAnswer: -1048, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q**2 + 3*q. Let p(i) = -i**3 - i**2 + 1. Let k(y) = 2*p(y) + s(y). Suppose 0 = 5*t - 0*t + 10. Give k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l**3 + 12*l**3 - 50*l**3 + 7*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, q: 2}. What is prob of picking 2 q and 1 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 14. Let g be a(19). Solve 0 = -g*m + 5*i + 5, -m + 6*i = 3*i - 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/((-2)\/(-20)). Let a = 1 - 0. Let h = a + 2. Put 2\/11, h, n in decreasing order.\nAnswer: n, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -16. Suppose -14 = -3*a - 2*k + k, t = 3*a + 3*k. Calculate the smallest common multiple of a and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238424302867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 511*j + 126*j - 6370 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/21 + (-221)\/(-91))\/(2\/(-16)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)*k*k**(2\/33))\/(((k*k\/(k*k**(3\/20))*k*k)\/k)\/k*k*k**(6\/11)) assuming k is positive.\nAnswer: k**(-551\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2868 and 8.\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -1)*(2 - (-38)\/4). Let v be (1 - i) + (-30 - -32). Are -45 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 19752?\nAnswer: 691320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (1 + 3)) + -2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43a483 (base 12) to base 4\nAnswer: 10012210203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6287713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 465 + -639. Let m = -171 - c. Solve 2*x - j + 11 = 0, -7 = -x + m*x + 3*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 + 21 = 0. Let l be (-2)\/5 + u\/15. Suppose -v = -5*v - 4. Are v and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1866*o**6 - 85399*o**5 - 19*o**2 - 6161007*o.\nAnswer: -223920*o**3 - 5123940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -119 in -2, 4, -4, 1, 9\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*o**3 - 600*o**2 - 369 wrt o.\nAnswer: -183*o**2 - 1200*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -5 in decreasing order.\nAnswer: 3, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245148 and 1860?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.84025 years to millennia.\nAnswer: 0.00884025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 4\/5, -0.5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 712663866 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**6\/30 + 8*h**5 - 5*h**4\/6 + 5037*h**2\/2 - 6850*h. Differentiate c(m) with respect to m.\nAnswer: 4*m**3 + 480*m**2 - 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*u + 130 = 120*u. Let p be 0 + (0 + -2)*6. Let d = u - p. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36375*n**6 + n**4 - 1010282*n**2.\nAnswer: -4365000*n**3 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 9. Suppose 3*p - 30 + 30 = 0. Calculate the smallest common multiple of y(p) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-36) + 19\/(-21). What is the closest to -1\/4 in -3\/4, d, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30267 or -30270?\nAnswer: -30267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.366, 21.9, -5, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 272 = -2*i - 185, -2*h + 4*i + 158 = 0. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -89*d - 10. Let i(f) = -43*f - 8. Let v(j) = -5*i(j) + 4*t(j). Let y(u) = -8*u**2. What is v(y(o))?\nAnswer: 1128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let c(l) = 29*l. Give g(c(p)).\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -17, 0.993, 1514 in descending order.\nAnswer: 1514, 0.993, -2\/13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 11*p**2 + p + 13. Let u be x(-11). Suppose -2 = -u*y + 4. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14411*p = 14221*p + 1900 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/5106 and -49\/1173006.\nAnswer: 998228106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/48*190\/(-114) + 6\/(-16). Is a >= -3\/4637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*3*1)\/(-4*(sqrt(5) + sqrt(5) + sqrt(1260)\/sqrt(7))) + -3.\nAnswer: -3 - 3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 52\/3*q - 4 - 5*q**2 - 50*q**3 + 125\/3*q**4 = 0.\nAnswer: -3\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = -3*l - 10, 0 = 5*l + d - 5. Suppose -n + 235 = -l*n. Let p = n + -108. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 34*d**2 + 483*d - 133. Is b(-67) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7310460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315081486 and 13878?\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 12 = -4*d, 141*d - 139*d - 5*i - 20 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 5*s**2 + 2*s**2)*(-1 + 1 - s) + 14*s - 14*s - 69*s**3.\nAnswer: -70*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 - 91. Does 27 divide ((-1380)\/8)\/y*6\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/47 - 121\/188. Let b be ((-6)\/36)\/((-335)\/804). Let s = 12.18 - 0.18. Sort x, s, b in increasing order.\nAnswer: x, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 19727 and 0.2.\nAnswer: 3945.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -27. Which is the nearest to -1? (a) 3 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -20*i**2 - 100825*i - 25205 = 0.\nAnswer: -5041, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-82)*93\/(1860\/80)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16368, -16335, -16298, -16257?\n\"Answer: 2*n**2 + 27*n - 16397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.27 + -18.17. What is the second smallest value in 3\/8, 5, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -337 - -37?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18515180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = f + 3*f. Let a = f - -40. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d1 - -4?\nAnswer: 8d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = -m + 18*r + 14, -2*r - 18 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -59.87.\nAnswer: 17.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 13625?\nAnswer: 13625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a + 136 = -109*a + 31*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6092*r**2 - 12066*r**2 + 6273*r**2.\nAnswer: 299*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 37*f**8\/56 - f**6\/10 + 3*f**4\/2 + 7*f**2\/2 + 177*f. What is the third derivative of m(t) wrt t?\nAnswer: 4440*t**3 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-48)\/598) + 0. Suppose 2608*r - 2615*r = 231. Let x = c + r. Calculate the common denominator of x and 87\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*y - 3*y. Let h be 2 + -25 + (-7 + 0)\/7. Let f be (6\/(-4))\/(h\/144). Solve -4*g = -f - y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 - a - 1. Let l be o(0). Suppose 3*m = -3*v - 9, 3 = -4*m - 0*m - v. Are l and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 - 174. Let l(i) be the second derivative of i**4\/4 - i**2 + 9*i. Let c be l(1). What is the highest common factor of v and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3060912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 82*t**2 + 40*t + 33. Let p be w(31). Suppose -14*b + p = 11*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -23*h + 2. Let z(f) = 12*f - 1. What is 3*u(v) + 5*z(v)?\nAnswer: -9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(2\/21))*a)\/a)\/(a*a\/(a**(6\/13)\/a)))\/(a**(-4)\/a*a)**(-10) assuming a is positive.\nAnswer: a**(-11587\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2 + (5 - 6) + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04426 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -112334443 (base 5) to base 11\nAnswer: -31a63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -15*j - 242. What is c(-11)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = 4*u + l, 2*l + 2 = -3*u. Let h = u + 8. Suppose h*a - 2 = 2*t, -10 = -0*t + t - 5*a. Sort -1\/3, t, 3 in decreasing order.\nAnswer: t, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -3. Let t be (2 - 2)\/(0 - -2). Let y be (t - -1)*(0 - 0). Sort d, y, 3 in descending order.\nAnswer: 3, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -42. Suppose i = m*i - 18. Suppose 0 = -4*p + i*p. Is 12\/19 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w = o - 14577, 14583 = o + 2*w. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*v + 246 - 0, j = 4*v + 131. Suppose 0 = -5*p + 2*d - 0*d - j, -4*p - 92 = -2*d. Let a = 51 + p. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7024521 kilograms?\nAnswer: 702452.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - b + 5 = 0, 9*w - 6*w = -5*b + 25. Solve v = 0, -2*u + 0*u - v = w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7406)\/36 - (-3)\/6. Let j = -205 - i. Let d = 4.87 + 0.13. Which is the biggest value? (a) j (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -576 - -636?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-99)\/(-55))\/(2\/20). Let i be (-6)\/n - (-30)\/9. Solve -i*c = -c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(3\/(3\/1))\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1634.\nAnswer: 8170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 45 - -24 - (0 + -3) - 14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*v - k, 3*v - k - 5 = -0*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.1, 2, -0.1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 15}. What is prob of sequence kk?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -57337*(6 - (-56)\/(3 + -11)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-20))\/((713\/(-31))\/322).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5261, 10501, 15725, 20927, 26101?\nAnswer: 31241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/104? (a) -0.2 (b) -3 (c) -3\/2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -16*q + 250. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:09 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/4, 33, 0.1, 0.3, 2, -0.3 in increasing order.\nAnswer: -9\/4, -0.3, 0.1, 0.3, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2 = -2*f + 6, -5*f = 2*r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - b = -9, -2*b - 5 = 3*b. Suppose l + 3*y = 2*l + 5, k*l = 5*y - 5. Calculate the greatest common factor of 9 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10587*v**4 + 3*v**2 - 82152*v.\nAnswer: -127044*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**4 + 9*d**3 - d**2 + 23*d. Let s(p) = 2*p**4 + 19*p**3 - 2*p**2 + 46*p. Let y(x) = 10*j(x) - 4*s(x). Find the third derivative of y(c) wrt c.\nAnswer: 48*c + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:20 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -366394.8938 to the nearest 1000.\nAnswer: -366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20026111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-26 - (-22 - -13)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-105)*-7)\/(4\/20)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805 = -71*p + 186*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 28 = 3*l - 7*l, 14 = 2*l + 3*g. Solve 27 = 10*s + l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107763546?\nAnswer: 2, 3, 11, 1632781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 547658 + -547658. Factor 9\/2*n**4 + 27\/4*n**3 + 3*n**2 + 3\/4*n**5 + o*n + 0.\nAnswer: 3*n**2*(n + 1)**2*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -9. Put q, -4, 3 in decreasing order.\nAnswer: 3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695338419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2344*r**3 + 5614*r**3 + 3584*r**3.\nAnswer: 6854*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2557.857 + 2557. Round z to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107583857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1461000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -60*l + 8231. What is x(137)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s - 16. Let r(f) = -2*f + 1. Give d(a) - 3*r(a).\nAnswer: -3*a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 - 512*n + 107. What is the units digit of z(-83)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29471693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2733 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268211 to the power of 1\/2, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1179 and 1179?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 43. Let r be n(20). Suppose -22*g - 100 = -r*g. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 3. Suppose 5*t - 51 = 29. Let y be -9 - (-42)\/(4 - 1). Suppose 8*u + y*r + 13 = 4*u, 2*u = 2*r + t. Determine v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 + 36. What are the prime factors of a(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x - 23. Let b(u) = 78*u - 3 + 1 + 3 - 77*u. What is -6*b(g) - q(g)?\nAnswer: g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d = -72*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b + 16 = 2*y, -b + 4 = 0. Let h(c) = c**3 + 3*c**2 + 2*c + 2. Let q be h(-2). Solve 2*u = -2*x + 10, -2 = -q*u + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evvv when four letters picked without replacement from {v: 6, e: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 315*w**2. Let d(i) = 2567*i - 8. Determine d(f(g)).\nAnswer: 808605*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 375*a**2. Let c(m) = 6*m**2 - 20*m. Let v(r) = 7*r**2 - 24*r. Let t(l) = 6*c(l) - 5*v(l). Calculate o(t(f)).\nAnswer: 375*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.1. Let q = 1.29 + -65.29. Let g = 66 + q. Put p, 2\/5, g in increasing order.\nAnswer: p, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211201 is divided by 242207.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2094.1, -0.42, -1\/2, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -414 and 0.1.\nAnswer: -41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 8*k - 39)*(-34 + 18 + 24).\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 - 36*c**4 + 32*c**3 = 0. What is c?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2374877 rounded to three decimal places?\nAnswer: -10.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(272) + -1*sqrt(272)) + -3)**2 - (sqrt(153) + -2 - (0 + sqrt(1377))).\nAnswer: 11 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7442 (base 8) to base 15.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5535 and 4276505?\nAnswer: 115465635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 273*m**2 - 4*m + 3. Let q be g(1). Suppose l - 5*b - 16 = 0, 0 = 2*l + 2*b - 9 - 23. What is the highest common factor of q and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - -80. Suppose c = -c + t. Find the common denominator of 12\/30 + c\/10 and -50\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2009692, -2009682, -2009672, -2009662, -2009652, -2009642?\n\"Answer: 10*u - 2009702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j. Let n(c) = -5*c - 1. Calculate -4*g(l) - 3*n(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 - 10*q - 3. Let t be (12\/2)\/(4 - 2). Suppose 2*w + t*w = -45. What is the units digit of j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 536 + -120. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -158 (b) -1 (c) 0.4 (d) -30 (e) 0.04 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**2 - 77*s + 5. Let g be k(7). Solve 25 - 10 = g*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 10*w + 3. Let j be r(-10). Let m be 1 + (3 - 5) + j. Let 0 - 2\/3*x - 2\/3*x**m = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.068 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2398 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349 - 377. What is the nearest to 2 in -3\/7, k, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -650 + 27*j**2 - 7*j**2 - 21*j**2 in the form x*j**2 + n + u*j and give n.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -900.6, -2\/13, 3\/5, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -2*s, -3*s - 7 = -3*r + 2*s. Suppose 3*m + 2*m + 3*j - 80 = 0, -16 = -m + r*j. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {d: 1, y: 1, u: 1, h: 2, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100.1 + -100.100000008. Round i to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (150\/(-2600))\/((-6)\/(-16)). Suppose 3*t - 4*o = 27, -7 = -2*t - 7*o + 6*o. Which is the nearest to g? (a) 0.4 (b) 16 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + j = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, 0.5, 3\/4, -1\/1513?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*o + 8 + 412 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from gissvsvlvsvsvv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100210 - 120?\nAnswer: 100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11904667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 112*l + 66. Calculate x(-14).\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 - 34*j**2 + 10*j + 14. Let l be s(11). Solve -5*k = -8 + l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x. Let n = -326 - -1069. Let z(s) = -n + 5*s - 25*s - 742 + 1485. Calculate k(z(m)).\nAnswer: 140*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r = -56*r + 6. Let p be 9 + (1 - r*(0 + -1)). Suppose -a = 3*t - p, -5*t - 5 + 17 = a. Solve -5*c + 15 = -a*i, -3*c + c + 5*i + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1644324824 rounded to three dps?\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.64 - 39.638605. What is p rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 + -41 - (-1 - 6)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 4*k + 4*k - 19. Let c be r(8). Let s be (-5 + 5)\/7 - (c + 1). Solve -s*a = -2 - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4441176 divided by -1480392\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7 - 42*n - 10 - 19. Is 22 a factor of r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -29. Let l(f) = -f**3 - 4*f**2 + 3*f. Calculate the smallest common multiple of l(-5) and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4537 + -3852. Calculate the lowest common multiple of 45 and l.\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:41 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651195 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 - 163*f**4 + 1730*f**3 = 0 for f.\nAnswer: -173, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 329 + -166. Let y(z) = 649*z - 36303. What is the remainder when c is divided by y(56)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 2. Let t(b) = b + 4*b - 4*b + 1. Let n = -61 - -68. Suppose -2*j - n = -9*j. Determine j*v(s) + 2*t(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8596098?\nAnswer: 2, 3, 7, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(-15) + 20\/50 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:47 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 21*x**4\/8 - 49*x**3\/3 + 35*x**2. Differentiate j(n) with respect to n.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 54. Let k = v - -45. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 + j. Let o(x) = x**4 + x**3 - 10*x**2 - 36*x + 32. Let a be 6\/(-8) + (-9)\/36. Let c(z) = a*o(z) - 4*g(z). Find s, given that c(s) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/15 - -1\/5. Which is the nearest to k? (a) -3 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 786433209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011000 + 12?\nAnswer: 2011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 560 - 541. Solve -4*x = -3*l + s, 3*x - x - l = -7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254562*-0.05.\nAnswer: -12728.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q - 3*q**3 + 1 - 165*q**2 + 171*q**2 + 2*q**3. What is the units digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 0*q - 16 = 0. Find the second derivative of 16*j**q - 86*j**2 + 55*j + 16*j wrt j.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/35*(11 + -1). Let b = -2 + g. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/11 - 34*d**2\/11 - 130*d\/11 + 3042\/11 = 0.\nAnswer: -9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 6\/4)\/((-7)\/(-20300)). Let q be (6 - (-6)\/5)\/((-3)\/z). What is q rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llr when three letters picked without replacement from {a: 1, r: 3, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79005028 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18434 - -18700. Calculate the remainder when q is divided by 244.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/80*14\/(-147)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372 + -91. Let n = v + 864. List the prime factors of n.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 4 (b) -20 (c) 3\/17 (d) 0.2 (e) -84 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.904 + 0.004. What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13235 = 1686*k + 23932 + 24709 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*j - 4 - 89, 0 = 4*h + 2*j - 194. Calculate the remainder when h is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 448950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/5*5*-1. Suppose -20*a + 384 = -8*a. Suppose -8*u = -16*u + a. Solve -u*z - n - g = -7, -n = -4*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 - -2) - (26 - 26)) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 5 + 33*i + 12 + (0*i - i + 3*i)*(-1 - 3 + 6) + 0*i + 2*i - i.\nAnswer: 38*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/28)\/((-4)\/14). Suppose o + r = -3. Let a be -1 - 12\/(o + 3). Solve 5*x - 2*x = -3*k - 3, -3*x + 21 = -a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - -3*(sqrt(200) + 1 + sqrt(200))) + sqrt(200) + ((1 + sqrt(200))*-4 - sqrt(200)))*4 - (5*(sqrt(200)*2 - sqrt(200))*1 + 2))**2.\nAnswer: -840*sqrt(2) + 9836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.434042?\nAnswer: 0.434042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.97 less than -0.7?\nAnswer: -4.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 73*d**2 - 67*d**2 - 233*d**2.\nAnswer: 2*d**3 - 227*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let m(n) be the second derivative of 1\/2*n**3 + 0 + 0*n**2 - 2*n. What is g(m(o))?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.7 + -61. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129713132963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228662*i**6 - 293652*i**2 wrt i?\nAnswer: -27439440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10 + 24*k - 36 - 23*k. Suppose 144 = 2*o + 10*o. Calculate n(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + sqrt(700) + sqrt(700) + sqrt(700))**2 + sqrt(70)\/(2*sqrt(10)) + -4.\nAnswer: -159*sqrt(7)\/2 + 11197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26096688 divided by 483272.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z - 1308 = -4*r, -4*z = -3*r + 977. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024556992 to five decimal places.\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 492689 - 498345.02. Let t = 5770 + q. Let u = -113 + t. Round u to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/175)\/(-4 + (-76)\/(-20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 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: Is -24 <= 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2840384 millilitres to litres.\nAnswer: 0.0002840384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14*b + 14*b + b**2. Let m(l) = -6*l**2. Calculate -34*a(t) - 6*m(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3232476*y**4 + 2*y - 59336.\nAnswer: 38789712*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 2. Let p be i(-5). Let a(t) = -t + 16. Let v be a(0). Let x = v - p. Solve x*y - 3 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.1 (c) -39\/7 (d) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*-1)\/((-40)\/(-960)*-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1144887632 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -3*l + 4*l. Suppose -t - 4*t = l. Solve 4 = n - t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/10 + (-398)\/(-10). Is 40 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 10:31 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 10. Suppose 3*p + 36 = 3*w, 5*p + 2*w + k*w = -60. Let m = 3 - p. Solve l - a - a = -m, 2*l - 2*a = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4683 (base 10) to base 12.\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/120*(-10)\/3 + 1116\/(-72)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 + o**2 + o - 1. Let t be s(1). Suppose 4*x = -2*n + 84, -4*x - x = t*n - 95. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -12638?\nAnswer: 1263a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*h - 10, 5*k - h - 2 = -0*h. Suppose 0 = -0*j + 4*j - 20. Let x(v) = -v + k + 0*v + j. What is x(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17639255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52528876 + 52528876 - 1058*n**2.\nAnswer: -1058*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.68 and -0.045.\nAnswer: 0.7956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*(t**46*t)\/t)\/t))**11\/((((t**(-18)\/t)\/t*t)\/t)\/t*(t\/t**(18\/7))\/t) assuming t is positive.\nAnswer: t**(-3300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/(-9))\/144*(-116)\/1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 6*d**2 + 4*d + 6. Let o be a(-5). Let u = -5 - o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 0 = -12*y - 9. Which is the nearest to -1\/5? (a) 1\/8 (b) -12 (c) 2\/7 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oopopp. Give prob of sequence popo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 15 = z + s, -33 = 3*z - 3*s. Let c(f) = -5*f**3 - 17*f**2 + 4*f - 17. Let l be c(z). Let q = -3766 + l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1225*d + 2600. Calculate s(2).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1529\/556*38\/(-11)*2\/(-5)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 990068 to the nearest 10000.\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.054 - 9.554. Which is the second smallest value? (a) -0.096 (b) 0.2 (c) 4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0 - 1\/6*a**3 - 12*a - 1\/2*a**2. Give u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 4. Let b(p) = 7*p - 5. Let d(h) = -5*b(h) - 6*o(h). Determine d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191293350 rounded to the nearest 1000000?\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -7. Let h be (k\/(-42))\/(12\/14). Find m such that -2\/3*m - h*m**2 - 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -8*x + 14*x - 904. What is the greatest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2158 + -371. Let o = 4030 + c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 984970 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:55 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-84) + 33\/21. Solve 3*v + 3 = -0*v + r*l, -5*v = 4*l + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21020230 (base 4) to base 6.\nAnswer: -445124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - a2?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, -29, -89, -167, -269, -401, -569, -779?\n\"Answer: -g**3 - 41*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*h + 56 - 36 = 0, 4*d = 4*h. Suppose -2*p = 2*a - 4, -5*p = -2*a - 2*a + 53. Let x = -2 + a. Solve 0 = x*k - d - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370496 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b + 5*b**2 - 5 + 2 - 3. Suppose -7*o + 24 = -18. Let a(p) = 9*p**2 + 11*p - 11. Let t(q) = o*a(q) - 11*c(q). Let k(n) = 6*n. Give t(k(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*3\/15.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 + -2 - (-7355 - -7375)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c**3\/c)\/c)*c**(2\/17)*(c**(-7)*c)\/c*c*c**(2\/23)*(c**5\/c*c)\/(c*c**(-6)*c)*(c**1*c)**20 assuming c is positive.\nAnswer: c**(16893\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -u, -3*v + 2*v + u - 5 = -8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 107*k**2 - 7*k + 3. What is the units digit of w(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p, -3*p = -3*q - 72. Find the common denominator of ((-43)\/q)\/(3\/12) and 19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -897795 divided by -1?\nAnswer: 897795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38268?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11381 > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/16 - -1) + 700\/1760\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2. Let i(f) = 113*f + 9. Give i(r(j)).\nAnswer: -565*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z = -3*p + 46, -2*z = -2*p - 12. Let w(j) = j**3 - 2*j**2 - 5*j. Let k be w(4). Suppose -z*b = -k*b + 60. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = 2*y + 24, 4*r + 3*y = 48. What is the highest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - 0.39. Let a = 2.4 + -2.2. Let f be (-5 - -1)\/(-2 - 0). Sort f, v, a in decreasing order.\nAnswer: f, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*u - 40 = 0, 12*m = 11*m + 4*u + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 5, 23, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 0*q)*(-1 + 0 - 2)*(1 + 1 - 4).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:47 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -36, -90, -166, -264, -384?\n\"Answer: -11*m**2 + m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*u + 437 = 2057, 3*z - 2*u = 1235. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(2 + (-1*sqrt(1944))\/(sqrt(120)\/sqrt(40)))*-4.\nAnswer: -144*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156043163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10313696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuyuuu. What is prob of picking 3 u?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345645248 by -92716.\nAnswer: -3728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 69202107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Suppose 3*q - 21 = -h - 5, -r*h + q = -80. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 388 + 18?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 4. Let a be l(1). Let i be (4 - -1)*(-2 + 0). Let t be (-15)\/i - a\/(-6). Solve 3 = t*n + 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 5*y + 6. Let d be p(10). Let g(w) = w**3 - 6*w**2 + 2*w - 1. Let i be g(5). Let n = i - d. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23210 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7*-736\nAnswer: 5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1 + o + 1. Let l(v) = 465*v**2 - 90. Let q(r) = 5*r**2 - 1. Let d(y) = -l(y) + 90*q(y). Calculate p(d(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1299 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 15 = 5*x, 18*t - 23*t = 3*x + 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 31*t + 94. Let u(x) = -31*x - 80. Give -5*n(f) - 6*u(f).\nAnswer: 31*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298049 (base 10) to base 15.\nAnswer: 5d49e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 5)\/(-2) + -9. Let o(t) = -t**2 - 13*t - 23. Let f be o(r). Let m(d) = d + 10. Let p be m(-5). Is p <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**5 + 40*t**4 - 72*t**3 - 256*t**2 + 548*t - 264 = 0?\nAnswer: -11, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 946 divide 29594664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 14 (b) 9 (c) 32 (d) 1\/2 (e) 1\/6 (f) -2 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5 in ascending order.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/488922 and 113\/209538?\nAnswer: 1466766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -5 (c) 0.4 (d) -107003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -288178 or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137135 is divided by 836.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 + 2837764*r - 36891101 = 0.\nAnswer: -2837777, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2289759837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 125*q - 1. Let o(i) = 302*i - 3. Let k(m) = -6*o(m) + 15*p(m). Let x(h) = -2*h. Determine k(x(c)).\nAnswer: -126*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4)*(-4 + 0). Let b be (-1 - a) + 2\/(-1). Solve 3*q + 15 = -3*g, -b*g = -0*q - q + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21703*v**6 - 185*v**4 - v**3 - 2*v**2 - 27550558 wrt v.\nAnswer: 2604360*v**3 - 4440*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*w - 153 + 159, 3*w + 24 = 4*u. Solve -28*r = -31*r - 3*q + u, 0 = -2*r - 5*q + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2856, 2851, 2846, 2841?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 0)*(-2 + 2*z + 2) - z + z + 2*z + 1 - 2*z - 1 + (-z + 4*z - 2*z)*(-2 - 5 - 10).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3584 is divided by 224.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01915254 to four dps.\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (100981907*z**2 + 180 - 100981864*z**2 - z + 0*z)*(-2 + z + 2) as d*z + a*z**2 + u + k*z**3 and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.01148nm to micrometers.\nAnswer: 0.06801148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 275d7c - -de?\nAnswer: 275e5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(560) + sqrt(35) + sqrt(35))*-4)\/sqrt(5) + 1.\nAnswer: -28*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 3*i + 301. Let j be 7 + (-72*1)\/(-9). What is the remainder when f(j) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1748*y**3 - 24*y**2 + 92*y - 16. Let r(z) = -2*z**3 - 2*z**2 + 3*z - 1. Let l(d) = 12*r(d) - x(d). What is the second derivative of l(q) wrt q?\nAnswer: 10344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 4. Let k be u(-5). Let y = -0.795 + 0.295. Which is the closest to -0.2? (a) 0 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w + 8, 3*w - 318 = -5*o. Suppose -2*s - o = -5*x + s, -5*s + 30 = x. Is x at most 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*n - 6031 - 1873 = 0. Calculate the highest common divisor of n and 2678.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 25*p**2 + 26*p - 54. Calculate l(-13).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16384230 and 720.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 1\/105*n**7 - 3*n**2 - 2\/3*n**3 + 1\/30*n**5 + 1\/4*n**4 - 1\/20*n**6 + 0*n + 0. Factor r(m).\nAnswer: 2*(m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31020755*x**2 + 11986350*x wrt x?\nAnswer: -62041510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 m when three letters picked without replacement from {m: 3, r: 2, f: 1, i: 6, z: 3}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14083388101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*n + 2*v, -3*v = -2*n - 8*v - 26. Let u be (3 - 1 - 0\/n)*1. Solve -3*z = -6, 3*b + 4*z = b + u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 45*h**2 - 27*h + 4. Let d be u(44). Solve -d*f = -750*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 1, -1.9, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 939 divided by -4.\nAnswer: -939\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/12 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41542 + -13521?\nAnswer: 25021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mma when three letters picked without replacement from {a: 5, m: 14}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -5. Which is the closest to n? (a) 5 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*h*z - 84*a**3*z**2 - 2*a**2*h*z**2 - 349*a**2*z**2 - 2*a*h*z - 2*a*h wrt a?\nAnswer: 6*h*z - 504*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -27*b - 41. Let c be y(0). Let h(l) = l**2 - 5*l. Let n be h(5). Suppose w + 40 = -n. Is c greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:38 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -15 (c) 0.06 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.86 and -34.\nAnswer: 63.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/(17\/((-714)\/18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*x\/(x*x**(-9\/5)))\/x)*x))\/x**(-6)*((x**12\/x*x)\/x)\/(x*x*x**(-7)*x) assuming x is positive.\nAnswer: x**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 1\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}