diff --git "a/data/dm_maths/full_data/2072_11255.jsonl" "b/data/dm_maths/full_data/2072_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2072_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Does 45 divide 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 - 10*o**3 + 2240*o**2 + 40*o - 8928 = 0. What is o?\nAnswer: -36, -2, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(1 + 0)\/(-2). Let v = -120 - -122.04. Let d = v - 0.04. What is the nearest to d in -0.4, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 90*k**3 - 2*k**2 + 3*k - 2. Let c be r(1). Suppose -92 = -4*j - 2*g, -4*g - c = -5*j - 0*j. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -600 - -157?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.725 - 53.575. Round l to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 18*l - 146. What is a(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let a(b) = -34176*b - 33816*b + 64056*b. Calculate j(a(r)).\nAnswer: -15492096*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(102)\/sqrt(2))\/(6*sqrt(12)\/sqrt(4)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - a + 6 = 4*a, 0 = 2*x - 3*a + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(4\/(-21)) - (-5)\/(-20). Let c = -0.23 - 0.07. What is the third biggest value in 6, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 + 188. Let p = h + -265. Suppose 235 = 2*t - p. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**3 + 3*d**2 - 4*d + 2. What is l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 1. Suppose 0 = 3*d + 5*d + 8. Let s(w) = -5*w + 6. Let y(o) = d*s(o) + 6*t(o). Let n(j) = -4*j - 3*j - 3*j. Give y(n(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1539) + sqrt(19)*1*2)*-2)**2 + 3.\nAnswer: 63919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 - a + 3. Let m be b(0). Let l be 5 + (-78)\/15 + (-42)\/(-10). What is the third derivative of m*g**2 + 54*g**l - 43*g**4 + 1 - 1 wrt g?\nAnswer: 264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*l = -25 - 22, -53*c + 16*c - 250 - 267 = -l for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9185 is divided by 2290?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xzxxzxxzxxx?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 13. Suppose -10*z + 12*z = 8. Suppose -z*w + w = -72. What is the highest common factor of w and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - -1.01. Let r be (15\/((-720)\/16))\/(4*2\/120). Which is the nearest to y? (a) r (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 2*x**2 + 7*x**2. Let d(n) = 3*n**2. Calculate b(d(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65547, -65559, -65577, -65601, -65631, -65667?\n\"Answer: -3*o**2 - 3*o - 65541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 + 180. Which is the second biggest value? (a) 0.5 (b) z (c) 31 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 859, 857, 853, 847, 839, 829, 817?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p + 10. Let h be (12\/(-2))\/(4 - 6) + 2. Let a(l) = -7*l + 19. Calculate h*j(u) - 3*a(u).\nAnswer: u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 0.07.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 4*k**5 - 2*k**4 - 40*k. What is the third derivative of w(v) wrt v?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**3\/3 + c**2 + 4*c + 6. Let k be g(3). Solve 0 = -3*u - 2*n - k, -3*u + 5*n - 15 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(6\/99). Let q be (-9 - j)\/((-2)\/14). Let t = 22 + q. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*m**2 - 30*m**3 - m + 1739*m**2 - 1286*m**2.\nAnswer: -30*m**3 + 84*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 49549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/3)\/b**(1\/4)*b**6*(b\/(b\/((b*b**(-1))\/b)))\/b assuming b is positive.\nAnswer: b**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110 (base 3) to base 8.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -33. Suppose 5*z + w - 13 = -w, b*z - 10 = -2*w. Suppose 0 = -5*l + z*a + 12 + 7, -4*l - 5*a = 7. Solve -l*g - 3 = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/4*60\/(-9). Let z be 2*(-145)\/l - -8. Which is the second smallest value? (a) -10 (b) z (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208357 or 208422?\nAnswer: 208357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 364, 1364, 2376, 3406, 4460, 5544, 6664, 7826?\n\"Answer: c**3 + 993*c - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/35*l**7 + 0*l**5 + 0*l**4 + 0*l + 1\/2*l**3 + 4*l**2 + 0*l**6 + 0. Differentiate b(v) with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -189?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.4, -3, 2\/11, 0.23 in decreasing order.\nAnswer: 2\/7, 0.23, 2\/11, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/21806088 and 81\/7952.\nAnswer: 305285232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -241, -246, -255, -268, -285, -306, -331?\n\"Answer: -2*d**2 + d - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 3 = 3*b + w, 0 = w + 5. Suppose -88 = -2*s + 3*r + r, -s - 5*r + 16 = 0. What is the greatest common divisor of s and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2625 and 882875?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(4 + 4 - 2)*(-4*f + 6*f + 9*f).\nAnswer: -132*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + 272 - 216 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 1. Let i be r(-2). Suppose -4*x + 2*x + 14 = 0. Let q = x - i. Solve -4*n + q = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 163.15 and -0.16145.\nAnswer: 162.98855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pphhp. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*121\/(-110)*((-7072)\/(-88))\/(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:53 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, -6, 13095, 4 in ascending order.\nAnswer: -6, 0, 1, 3, 4, 13095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4)\/v*v*v*v\/(v\/(v*v**(-3))))**(-1\/19) assuming v is positive.\nAnswer: v**(4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-y**3 + 6*y - 6*y)*(3*y - 4*y - y).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w - 47. Let t be r(6). Suppose -4*o - o - t = 2*d, 3*d = -3*o - 15. Which is smaller: d or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130087357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 - p**4 - p - 4*p**4 + 6*p**4 + p**3 in the form v*p**4 + t*p**2 + f + a*p + h*p**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(605) + sqrt(605)*-2) - (-3*sqrt(605)*1)**2 - (-3*(sqrt(605)*1 + sqrt(605) + 4))**2).\nAnswer: 6160*sqrt(5) + 109476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*r**2 - 7*b**3 + 5*b - 65*r**4 with respect to r.\nAnswer: 4*b**3*r - 260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 16. Suppose -i = 4*i + u. Let n(k) = k + 9. Let f be n(i). Sort 0, -5, f in decreasing order.\nAnswer: f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 251060 = -5*w, 3*w = 2*y - 4*y + 150641. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 4*u + 2. Let f be p(-3). Suppose 0 = 4*y - f - 16. Solve -5*r = -14 - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l - 4*g - 29, -g + 94 = 2*l. What is the second derivative of 79 + 8*t**2 + 120*t - 34 - l - 14*t**5 wrt t?\nAnswer: -280*t**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0.7. Let k = -0.7 - l. Let u = -144\/55 + 14\/5. What is the second biggest value in 0, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3064 is divided by 3041.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 537.88+-20.9\nAnswer: 516.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3003)\/819 + 7\/(-3). Let b = 10 + -6. Suppose 2*j + 5*n = -28, 2*j + 2*n = b*n. Put c, j, 0, 2 in descending order.\nAnswer: 2, 0, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -5*w, -2*w = -5*y + w - 31. Let r = -41 - y. Calculate the lowest common multiple of (-20)\/(-6) + r\/27 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-7) - 27\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1899, 2011, 2133, 2271, 2431, 2619?\n\"Answer: q**3 - q**2 + 108*q + 1791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/4 - 25*z**4\/2 + 1135*z**3\/6 - 495*z**2 - 3041*z + 2. Factor c(i).\nAnswer: 5*(i - 18)*(i - 11)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**8\/2240 - x**6\/360 - 5*x**4\/8 - 33*x**2. Let c(q) be the second derivative of j(q). Calculate c(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/135*10980\/(-8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -y. Suppose 0 = 2*w - 2 - y. Put -2, w, -11 in ascending order.\nAnswer: -11, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9952 + -6182. Let o = u - 22567\/6. Calculate the common denominator of o and 1\/(-4)*1848\/55.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/21 - 22\/77. Let r = -10275 - -81887\/8. Let p = -39 - r. Which is the smallest value? (a) l (b) p (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-11)*p**15*p**(-2\/19)\/p**(1\/36) assuming p is positive.\nAnswer: p**(2645\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-37)\/(-888)). Suppose 2*t = -z + q, 47*z - 49*z = -t - 4. Let i be (-12)\/(-15)*(-10)\/(-4). Solve -i - t = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 12511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*y + 133, y + 6 = -i + 85. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 87855, 176902, 265949, 354996?\n\"Answer: 89047*s - 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 19 = -16 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 11) to base 15.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((5\/(-1))\/(-505)). What is the remainder when 3 + (-4 - g\/3) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let u(c) = -44*c. Let w(m) = -m**2 - 42*m - 271. Let y be w(-8). What is y*u(k) - 2*o(k)?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -1064, -2378, -4208, -6548, -9392, -12734, -16568?\nAnswer: -20888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h + 111. Let l be y(10). Which is greater: l or 29?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(162) + sqrt(162) + sqrt(162))*2.\nAnswer: -2 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = -31*s + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3634*u - 4994*u + 17800*u + 3 - 3.\nAnswer: 9172*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9031*l**3 + 11398*l**3 + 22075 - 22075.\nAnswer: 20429*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53881 = 112*n - 455289. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1345 and 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) 6 (c) -19 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7775.523ug in grams?\nAnswer: 0.007775523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16550)\/(-327690))\/((125\/6)\/(-5))?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 3*y)*(2*y**2 - 4*y**2 - y**2) + 28 + 2*y - 3*y**3 - y**3 - 30.\nAnswer: -10*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 80843.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341205.\nAnswer: 3, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 - 20 = -5*v, -2*v + 32 = -4*j. Suppose -v*h = -h - 260. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7211019ml?\nAnswer: 0.0007211019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Suppose 5*x + 60 = 4*h, -3*h - 2*h + 120 = 5*x. Suppose 8*n = 3*n + h. Put 0, o, n in decreasing order.\nAnswer: n, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142 (base 5) to base 15.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/71470 and 31\/26945.\nAnswer: 385151830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -243*g**2 - 184*g**2 - 184*g**2 + 615*g**2. Let k(p) = -2931*p**2. What is d(k(n))?\nAnswer: 34363044*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179\/818973 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19328\/28 - 2\/7?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/((-221)\/((-6803485)\/2096)).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -19, -2, 5, -6, -4773 in ascending order.\nAnswer: -4773, -19, -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h = 24. Let l be (-15)\/(-2)*(-4)\/h. Solve 3*i - 20 = -l*g - i, 2*i = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -555, -554, -553?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*b - 3*p - 4, p = -2*b - 3. Let k(i) = -4*i**2 + 3*i + 4. Let m(r) = -11*r**2 + 8*r + 11. Let g(y) = b*m(y) + 8*k(y). Differentiate g(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -3\/8 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11250164 rounded to 5 decimal places?\nAnswer: -0.1125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + j**5 + 0*j**4)*(-2 + 3 - 2 + (-3 + 0 + 4)*(-3 + 0 - 3)) + 5*j**5 - 4*j**5 - 3*j**5.\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/209 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17155 and 228655.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:46 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533, -4203, -14191, -33665, -65793, -113743, -180683?\nAnswer: -269781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*f - 660*f - 181*f - 329*f to the form z*f + k and give z.\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {k: 1, b: 1, v: 1, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 - 21*z + 18*z + 18*z)*(z + 2 - 2).\nAnswer: -z**5 + 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 291 and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000078.8 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h*h**(14\/9))*h)\/h)*h)**(2\/51) assuming h is positive.\nAnswer: h**(64\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l - 5*l - 1 - 9*l)*(-142*l**2 - 227*l**2 + 122*l**2).\nAnswer: -247*l**3 + 247*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210212 (base 3) to base 12.\nAnswer: -1228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21553816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(2299)*-3 - sqrt(2299)) + -1)**2 - -6*4*(-5*(0 + sqrt(2299)) + sqrt(2299)).\nAnswer: 5296897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49 or -8408?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/4)\/(57\/570)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4239704522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004608 (base 10) in base 5?\nAnswer: 224121413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 610 - 610 + 2412*p as n*p + h and give n.\nAnswer: 2412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*j**2 + 192*j**2 + 785*j**2.\nAnswer: 727*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -120. Let r be m*-5*(-2)\/10. Solve r = -2*a - 2*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-6) - (1 - 11). Let a be (-16)\/6*(2 - (-332)\/h). Let t = a + 192. Is t a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - 10*t - 16. Let r be q(-7). Suppose -5*p + r = -177. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdhi when four letters picked without replacement from httdquii.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*k + 958095, 3*k - 18*g - 574913 = -28*g. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154 = -6*b - 3250. Is (-1)\/(1 - b\/(-733)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4))\/(sqrt(135)\/sqrt(3)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 12 - 4. Let f(m) = m**3 + 3*m**2 - m - 2. Let u be f(j). Do u and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-18) + (-4)\/15. Suppose v - 4*v - 5*k - 15 = 0, -v = -4*k - 12. What is the second biggest value in w, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(204) - -2*sqrt(204))\/sqrt(12) + 4)*5 - 4*(2 + sqrt(153)\/(sqrt(9)*-3))).\nAnswer: 11 + 49*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**5\/60 + 3*s**4\/8 + 5*s**3\/3 + s**2 + 2*s. Let o(l) be the first derivative of y(l). What is o(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x**3)*((14*x + 16*x - 8*x)*(-7*x + 2*x - 2*x) + (-x + 5*x - x)*(-5*x + 2*x + 4*x)).\nAnswer: 151*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -768. Let u = -701.99999723 - z. What is u rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + -221021?\nAnswer: -212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 1\/15*q**5 + 2*q**2 - 19\/6*q**3 + 0*q**4 + 0 + 0*q. Differentiate i(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + z**2 + 0*z**3 + 5 + z**3 + 3 in the form f*z + g*z**3 + i*z**2 + d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*1 + 0)*1*-5 + 2)**2.\nAnswer: -140*sqrt(11) + 13479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 less than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9987, -10240, -10479, -10698, -10891, -11052?\n\"Answer: z**3 + z**2 - 263*z - 9726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2 - 2*o**2 + 2*o**2 - 3*o**2 + 2*o**2. Let f(y) = -y**2 + 2. Calculate 2*f(p) - 3*n(p).\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -22*(6 + (-65)\/10). Suppose -i - o = -2*i - 4, -5*o = -2*i - 23. What is the first derivative of -2 + 2 + b*g - i wrt g?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -39 - 28 - (-1 - 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2688788 = 5*c - 4411212. What is c rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 806501.4 litres?\nAnswer: 806501400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122116 + -79687. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b, -5*l + b + 20 + 0 = 0. Find the third derivative of 2*m**5 - 2*m**5 + m**2 + m**2 - l*m**6 wrt m.\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/210 and -191\/82320?\nAnswer: 82320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -120274*i**2 - 10285*i - 2057. Let v(f) = 117*f**2 + 10*f + 2. What is -6*t(g) - 6171*v(g)?\nAnswer: -363*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + r - 21*r + 4*r + 15*r.\nAnswer: -r + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-7*28\/(-3822)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/4)\/((-72)\/(-976)) and 95\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -3*v**5\/40 - v**4\/24 + 2*v**3 + 7. Let d(r) be the third derivative of g(r). Does 17 divide d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrooffrr. What is prob of sequence ror?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -5)\/(4 + (-22)\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (111\/(-2))\/(12\/(-24)). Let l = c + -106. Let f(d) = d**3 - 10*d**2 - 10*d + 7. Let q(i) = -i**3 + 7*i**2 + 7*i - 5. Calculate l*f(k) + 7*q(k).\nAnswer: -2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = -3*z, -3*z = z + 4*r + 8. Let i be 2\/4*-2 - z. What is the remainder when ((-27)\/(-2))\/(2\/i) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 2:58 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 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: Solve -17*d + 27*d + 72 = 16*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 122*c - 34*c - 4 + 10*c**2 - 9*c**2 to w*c**2 + t + g*c and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*u, -2*j - 3*j = 2*u. Suppose -5*l + 2*s + 36 = -u*s, -s + 2 = 0. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 20 = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.002 - 4.102. Which is the closest to -0.3? (a) 5 (b) 1\/6 (c) 0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-6203*b**5 + 5022*b**5 + 7619*b**5).\nAnswer: -6438*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -357, -333, -289, -219, -117, 23, 207?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3126*g + 1543*g + 1582*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058016 rounded to three dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*c + 4, 2*c + 13 = 3*i - 2*c. Let m(l) be the second derivative of 0 - 1\/2*l**2 + 3*l - 5\/6*l**i. Find the first derivative of m(a) wrt a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = 2*n. Let l = 10 - n. Suppose 3*f + a - 20 = 6*a, l = -4*f + a + 4. Solve f = -4*z + 5 - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 10, 5*w = 5*z. Suppose -2*l - 3 = -5, -w*f = 2*l - 167. Calculate the common denominator of ((-3)\/f)\/((-5)\/(-180)) and 9\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 1 - (52 - 37)) + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 9 + 4)*(23 - 5 - 10)*(3*z - 2 + 2) in the form n*z + g and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23036, -23041, -23046, -23051, -23056?\n\"Answer: -5*y - 23031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -5 + 7 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -256*k. Let z(h) = 12*h - 2. Calculate 3*u(d) + 3*z(d).\nAnswer: -732*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*k - 725*k - 1964 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3088 + -2885.7. Let u = -194 + x. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133411 + -325?\nAnswer: -134140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 - 23160*m**3 + 744988*m**2 - 1327776*m - 2095920 = 0.\nAnswer: -5822, -1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1515 - 1494. What is the greatest common factor of p and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48195 and 128520.\nAnswer: 385560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r - 14 = -4*b, 0 = b + 4*r - 10. Suppose 3*j - 32 = p, -16 - 2 = -b*j - p. What is the tens digit of (j\/4)\/((-11)\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1041757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9.46, 1\/3, 5\/2, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13151 - 118229\/9. Let o = -928\/63 + m. Let u = -6 - -4. Which is the closest to 0.2? (a) u (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 9}. Give prob of sequence fcfc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/288*63*1*-2. Solve 5*j = 10*d + 5, 0 = j - d - 8 + m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 136*m. Let b(s) = -64*s**2 + 25*s**2 + 10*s**2 + 22*s**2. Give b(z(t)).\nAnswer: -129472*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-4)*(-8)\/(-4). Sort a, 5, -2 in increasing order.\nAnswer: -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3355)\/(-1155) + (16\/21)\/8. Solve -i + 46 = 2*v + 50, 3*i - b*v = -12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4874?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c3c + 18?\nAnswer: -3c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2216 - -8829. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*o = 3, 4 = -y + 5*y + 4*o. Suppose y*b + 5 = q - 5, 4*q + 20 = -3*b. Let f be ((-24)\/(-18))\/(2\/3). Put 4, f, b in descending order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l + 7205. Let p(m) = -21*m - 14413. Let b(v) = -5*f(v) - 3*p(v). Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 53*q**2 + 5*q - 52. Let x(p) = 52*p**2 + 4*p - 52. Let r(w) = -5*x(w) + 4*z(w). What is the first derivative of r(h) wrt h?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(1\/(-28)). Let r be 3289\/115 + (-1*(-18)\/(-30))\/1. Calculate the greatest common factor of h and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 57*u**2 + 15*u + 3. Let l(h) = -32*h**2 - 7*h - 2. Let c(t) = -4*j(t) - 7*l(t). Give c(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**2*b**3 + 41463*a**2*b - 24*a**2 - 23*a*b**3 - 209837*a*b**2 wrt a?\nAnswer: 12*b**3 + 82926*b - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5892 divided by -4.\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (459\/(-1428))\/(((-819)\/(-14))\/13)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 - 3 = 0. Solve -4*s + 16 = -z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -6, 238, 205, 1 in decreasing order.\nAnswer: 238, 205, 1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 43. Let p = r + -3. Is (-2)\/(-2 - (-38)\/p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.084, -1, -0.2, 0.96, -5 in ascending order.\nAnswer: -5, -1, -0.2, 0.084, 0.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + o**2 + 20. Let s(h) = 3*h + 2. Let c(v) = -v - 1. Let t(d) = 4*c(d) + s(d). Let p be t(-2). What is the tens digit of b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 23*p + 348. Let k = 31857 - 31872. Give j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*r = -70, -l - r + 2*r + 18 = 0. Calculate the remainder when 60 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 156182, 156196, 156226, 156278, 156358?\n\"Answer: y**3 + 2*y**2 + y + 156178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + u - 1. Let k(s) = 3*s - 4. Let z(p) = 6*p - 8. Let r(a) = 5*k(a) - 3*z(a). Let w(l) = -3*f(l) - r(l). Differentiate w(m) with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842 + 363 = 60*r - 3959 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 357660.4ug?\nAnswer: 0.0000003576604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.1 - -19.1. What is the closest to 2\/7 in 1\/6, 4, 3, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -1 - (-47 + 195 + -203)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 114257\nAnswer: 7\/114257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + u - 4. Let t = -367 - -361. What is j(t)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c**3 + 41*c**3 + 17*c**2 - 17*c**2 - 88*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 567369620 to the power of 1\/4, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118327 is divided by 1229.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -31*f. Let b = 2517 - 2517. Let j(p) be the second derivative of -5*p + b*p**2 + 1\/6*p**3 + 0. Determine y(j(l)).\nAnswer: -31*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3476 + -3427.81. Sort -3, s, -0.5 in ascending order.\nAnswer: -3, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/21, 14\/5, -0.04, -1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276825180.\nAnswer: 2, 3, 5, 4613753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44, -60, -76?\n\"Answer: -16*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 32 = 6*d + 3*t, -2*d + 3*t = -20. Let c be 2\/(d\/(-11840786)*1). Let w = c - -1720393. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (5 - 2))\/1. Suppose m*c + 15 = -5*c, -j = -2*c. Sort -2, 5, j.\nAnswer: j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*-13*(-1 + (-3 - -5)). Calculate the highest common factor of c and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahachae. What is prob of picking 1 e and 2 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(sqrt(76) + 2*sqrt(76)))\/(sqrt(48)\/sqrt(192)).\nAnswer: 5 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 20. Suppose -3*o = -c*o + 290. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.7*-93901\nAnswer: -2601057.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-150)*-105*20\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**2 - 4*g**2)*(-12 - 12*g + 12) + (-2*g**3 + g**3 + 4*g**3)*(-3 + 3 - 1).\nAnswer: 57*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(3 + 28\/(-9)). Which is the fourth biggest value? (a) 1\/4 (b) 5 (c) s (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(10)\/(5*(sqrt(45) - sqrt(5))) + 5*(sqrt(2) + -2)*-3)**2) + 1.\nAnswer: -67326\/25 + 1788*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -29, -60, -109, -182, -285?\n\"Answer: -y**3 - 12*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198800 and 19300?\nAnswer: 38368400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z + 12 = 0, 4*b + 5*z - 15 = 0. Let k be (2 - (0 - b))*12\/8. Suppose c + 8 = 4*m - 15, 3 = -c. Solve 4*i - m = k*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11751.\nAnswer: 3, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 58*u + 7*u**3 - 8*u**3.\nAnswer: 2*u**3 + 58*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/44 >= 1463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44073.2mg to nanograms.\nAnswer: 44073200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25 and -0.55453.\nAnswer: 0.1386325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1275 and 8\/20825?\nAnswer: 62475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 70253.32 kilograms?\nAnswer: 70.25332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -35*y + 67. What is the units digit of c(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36585, -36591, -36601, -36615?\nAnswer: -36633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssstsstttsssssesstss. What is prob of sequence ttt?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 4*m + 4*m + (1 + 6 - 4)*(m - 5*m + 7*m).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 8 + 7*q - 3 - 26*q - 5 in the form h + g*q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 3. Suppose -2*a = -5*i + 790, -4*i + 615 = 3*a - t*a. Let k = 46045 + -46025. Calculate the greatest common factor of i and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.39 + -0.41. Let k = 2.79 + o. Sort -5, k, -1\/9.\nAnswer: -5, -1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - 0.8. Let u = -1.7 - b. Let f = -189\/4 + 47. What is the nearest to f in u, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 + -19. Let m = s - 166.5. Let f = 0.5 - 1. Sort 1\/4, -0.3, m, f.\nAnswer: f, -0.3, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00886534846 to 4 dps.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = 2*t, 0 = -t - 4*t - 4*m + 28. Let v(b) = b**2 - 7. Let c be v(t). Let d be (0 + -1)\/((-1)\/2). Solve -d*f = -5*f - c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/2 + 183*u**3 - 144407*u**2\/2 + 568716*u - 1131448 = 0. What is u?\nAnswer: -607, 4, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-42))\/(2\/18). Suppose -4*f - 840 = -11*f. Let b = f - 118. Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2)\/(6\/12). Suppose 2*v - y + 0 = 0. Let g be (v - 1)\/(2\/6). Solve g*r - 8 = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007967709.\nAnswer: 11, 19, 59, 162839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 7:27 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*b**2 - 7*b**2 + 30*b**2 - 2 + 2 + b**2 + (-3 + 0 + 2)*(2*b**2 - 2*b**2 - b**2) + 3*b**2 - 2*b**2 + 0*b**2.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 6. Let a(c) = -c - 12. Suppose 7 - 1 = n + 4*b, 3*b = -9. What is the lowest common multiple of n and a(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {h: 10, x: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(1134)*3)\/(-1*sqrt(180)\/(sqrt(40)\/sqrt(4))).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 447440125 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -40*x - 3. Let a be u(3). Let r be 22\/77 - 1\/7*-19. What are the prime factors of 1\/(((-9)\/a)\/r)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2 + 0 - -12)*1 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249 + -245. Solve -d - 1 + 2 = 0, 0 = p*k - 3*d - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45196 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2 - 2. Suppose 3*o - s*o = -9. Is o greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4980258 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156817167.\nAnswer: 3, 13, 107, 37579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19739457 - -27715464. Suppose 0 = -0*i + 2*i + 2, 5*i - 3 = -2*d. Suppose -d*u + y = 136007. Round u to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12*c + 10. Calculate the remainder when l(4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-14)\/70\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32755701 divided by -3\nAnswer: -10918567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101412 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 105+152.58\nAnswer: 257.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 182559 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -65793459?\nAnswer: 65793453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69193694 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 - 2*x + 3. Let g be p(2). Let c = 18 + g. Let y = -4.94 + -0.06. Sort y, -4, c.\nAnswer: y, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, g: 3, x: 1, r: 5, l: 3}. What is prob of picking 1 x, 1 r, and 1 l?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 3, -5, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1166, 1331, 1768, 2609, 3986, 6031?\n\"Answer: 22*d**3 + 4*d**2 - d + 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6.6. Which is smaller: b or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let v(z) be the third derivative of 28*z**5 + 6*z**2 - 83. Determine v(p(w)).\nAnswer: 1680*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, x: 2, b: 1, k: 1, q: 2}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*f - 5988, -y + 2*f + 1801 = 308. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o + 0*o)*(-o + 0*o + 3*o) + (2*o**2 - 6*o**2 + 5*o**2)*(4 - 4 - 2) - 2*o**2 + 5*o**2 - 2*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1605 and -62\/12519.\nAnswer: 62595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*l - 820, -3*l + l = -4*a + 1128. Calculate the highest common divisor of 112 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-2))\/2*2301\/2124.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646533.\nAnswer: 7, 29, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3173200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21411 is divided by 433?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*j + 79, 0 = -5*v - j + 236 + 132. Let n(x) = 4*x**2 + 6*x - 1. Let p be n(-5). Suppose v*l = p*l. Solve 2*f - 2 - 2 = l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/30)\/(70\/(-28))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1658)\/(-12) + 2\/(-12). Suppose -5*s + w - 593 = -5*l, -464 = -5*l - 4*s. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281\/2 - 141. Which is the nearest to 1? (a) -8 (b) -0.1 (c) -3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.70694 rounded to 2 decimal places?\nAnswer: 94.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -5.8806\nAnswer: 0.58806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 235101074?\nAnswer: 235101069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-12)\/3) + 1. Suppose -o*b - 85 = -9*b. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 7*v + 3. Let k be p(8). Let a = -14.624 + 14.644. What is the closest to 0.1 in -1, k, a, 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*x + 421 = -141*x - 21. Suppose -y - 1 = 1. Let f = -18 - y. Are f and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:37 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and 18051185.1.\nAnswer: 18051184.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - 3*s**3 + s**4 + (s**3 + 0*s**3 + s**3)*(3 - 3 - s) - s**4 + 2*s**4 - 2*s**4 - 812*s**2 + 812*s**2 + 184*s**4.\nAnswer: 182*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d - 2*d)*(-2*d + 3 - 3)*(-d + 2*d + 0*d) + (-d + 2*d - 2*d)*(-2*d**2 + d**2 + 0*d**2).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 2. Let c be n(7). Let q(t) = 5*t - 11. What are the prime factors of q(c)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203289 is divided by 203283.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-3*sqrt(66))\/sqrt(3))\/((1*sqrt(22))\/sqrt(11)))**2 + 2 + -5.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33152 = 771*b + 761*b - 2481*b + 690*b for b.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-14 + 2 + 1 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/93375 and 34\/977325?\nAnswer: 14659875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 (base 11) in base 7?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-288)\/20)\/(((-1)\/(-1))\/(-15)). Let p be (89\/3 - -2)*-3. Let n = p + f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -83a26?\nAnswer: 83a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20211 (base 3) in base 13?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o + 14. Let q be p(-2). Find the common denominator of ((-1632)\/(-18))\/q*(-3)\/(-364) and 63\/22.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = -3*w - 37*c + 15, 0 = -5*c. Solve -2*n - o = -0*o - 10, w*o + 20 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u**2 + 3)*(5*u + 10*u - 34*u)*(5*u - 10*u - 3*u).\nAnswer: -304*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11564 divided by -4.\nAnswer: -2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94721, 94517, 94311, 94103, 93893, 93681, 93467?\nAnswer: 93251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -247571141.4 rounded to the nearest one million?\nAnswer: -248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -53*j**2 - 5. Let n(y) = 160*y**2 - 8233 + 4*y + 4121 - 4*y + 4128. Determine -5*n(k) - 16*z(k).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 45 - 17. Suppose 0*h = 5*h + 25. Let t = h - -7. Solve 0 = t*p - f*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-924)*-22 - (-350)\/(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + (-4)\/(-1). Suppose 3*j - j - 14 = 0. Suppose j = 4*a - 1. Solve u*d + 0 + a = -s, 2*s = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13913.4 to the nearest 100.\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 8 + -31 + -13 - -50.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 2}. What is prob of sequence iyi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*n - 1843 + 673 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43977*p = -44326*p - 23034 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - 224162?\nAnswer: -224135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 868 + -871. Let q be -4*j\/(-27) - (-17970)\/39825. Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/4)\/((-3)\/6). Find the third derivative of -j*h**2 + h**3 - 2*h**2 - 6*h**3 wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {s: 2, f: 1, v: 5, h: 1, z: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -51. Let d = -1 + w. Suppose 5*v - n - 80 = 3*n, 34 = 2*v - 2*n. What is the highest common divisor of d and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-6*1\/1. Let i(r) = -r - 2. Let m be i(g). Suppose -4*p - 7*t = -3*t - 188, -m*p + 200 = -2*t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11 - 37 + 451*g + 102 + 11 + 41. Is 36 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 87. Let o(n) = -36*n**2 - n - 1. Let x be o(-1). Let d = u - x. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (83\/(-216))\/((-88)\/12 - -8). Let q = v - -11\/16. Factor -2\/9*c + 0 - q*c**2.\nAnswer: -c*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/19)*i*i**4)**(-31) assuming i is positive.\nAnswer: i**(-2883\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123\/2, 3, 2 in descending order.\nAnswer: 3, 2, -123\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -1, 5, 10, -20 in increasing order.\nAnswer: -20, -7, -2, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/643 + 378397\/35365. Let s = 54\/5 - d. What is the fourth biggest value in -1\/3, s, 0.3, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-2)\/38*60\/(-120)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 3. Let b be j(-2). List the prime factors of -2 - -2*b\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyv when three letters picked without replacement from {y: 8, v: 5, n: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*b - 16, -o - 2*b - 1 + 9 = 0. Suppose -3*h + 18 = -o*h. Suppose -2*f = -0*f - h. Solve f*c - 5 = 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -4 (b) 4 (c) -0.3 (d) 1\/4992 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4208 (b) 0.2 (c) 5321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2212676255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10310170 and 520.\nAnswer: 41240680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13870 by 1387.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1032 and 49\/18348.\nAnswer: 1577928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 16 - 28 - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 921399131 to the power of 1\/3, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8806, 12, -2 in descending order.\nAnswer: 8806, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 - 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g**3 - 3644 + 3638 - 8*g**3 + 8*g**2 - 2*g**4 - 4*g.\nAnswer: -2*(g - 3)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100011 + -11111010?\nAnswer: 1000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88021235 rounded to 2 dps?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 1. Let z(d) = 7*d - 16. Let g(c) = 2*w(c) + z(c). Let l be (-376)\/(-376)*-3*(-3 + 1). What is g(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 532? (a) 4 (b) -0.1 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67615781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -102\/161?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -41. Suppose 2100 = -2*x - v*x - 5*s, -5*x + s = 2654. What is the common denominator of -33 and (-3 + 70\/25)\/(4\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 76?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-1 - -3) + 13 + -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/7)\/u**(-8))\/(u\/(u*(u*u**(2\/15))\/u)*(u**(-1\/2)*u)\/u))**(-47) assuming u is positive.\nAnswer: u**(-86621\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 72. What is the remainder when 22 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)\/((n*n*(n**7\/n)\/n)\/n)*n\/(((n\/(n*n\/n**(1\/9)))\/n)\/n)*n**11)**(-2\/9))**(1\/13) assuming n is positive.\nAnswer: n**(-4\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 10*j**3\/3 + 5*j**2\/2 + 14*j + 2. List the prime factors of w(3).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (38 + -13)) + 0 + (5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 1:01 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 127105 + 63561 = 2*g - 63553, 0 = -g + 4*o + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/2, 253, 19\/2, -3, 2\/3.\nAnswer: -3, -1\/2, 0.1, 2\/3, 19\/2, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.85 and 139?\nAnswer: 118.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45435\/368 - 2706\/23. What is the common denominator of 19\/32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -97*m**3 - 5*m**2 + 8*m - 5. Let s(z) = 49*z**3 + 2*z**2 - 3*z + 2. Give -5*s(u) - 2*x(u).\nAnswer: -51*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 7*d + 179. Calculate the remainder when 565 is divided by c(-14).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/18 - 88*r**3\/3 - 261*r**2 + 9867*r. Suppose b(c) = 0. What is c?\nAnswer: -261, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 5*d**2 - 3*d + 39. What is the smallest common multiple of b(5) and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/29, 2\/15, 2 in decreasing order.\nAnswer: 2, 2\/15, -8\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + 3*(-2 + sqrt(13) - sqrt(13)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -3*h + 92. Suppose 2*n - 2*k = 62, 0*n - 2*n - k = -h. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13289, 26577, 39865, 53153, 66441?\nAnswer: 79729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teteteettteteeeett. Give prob of picking 1 e and 1 t.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/27*((-153)\/36 - -5). Which is the closest to -1? (a) -26 (b) -2\/3 (c) u (d) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*b**5 + 164*b**5 - 4221*b - 224 + 4220*b wrt b?\nAnswer: 4600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*j - 4. Let d = j - 1. Let k = 2 + d. Solve -4*l = k, 8 = 4*a - 3*l - 2*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2 = 3*t, -2*t = -9*y - 3*y - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.28\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/158528 and 103\/36?\nAnswer: 1426752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10010111010111 (base 2) to base 15\nAnswer: 2d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86682 and 6906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6*((-8)\/96 - 0)*2*-98\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w - 2. Let c be f(1). Let j(p) be the third derivative of -5*p**2 + 0*p + 1\/30*p**5 - 1\/6*p**4 - 1\/360*p**c + 4\/9*p**3 + 0. What is n in j(n) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 8520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*x + 22, j = 6*j - 5*x + 5. Suppose -n - d = -8, -n - 3*n = 5*d - 35. Let c = n - 4. Sort c, j, 4 in decreasing order.\nAnswer: 4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s - 2*g, 0*s - 12 = 5*s - 3*g. Does 21 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 take away 5286736548?\nAnswer: -5286736548.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.22 + -2.72. Suppose 5*p = -5*k + 15, -5*p + 3*k - 27 = -2. What is the nearest to 2 in p, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:04 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 8}. What is prob of sequence sms?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -15*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 860.5 + -861. Let i = 0.39 + -0.28. Let x = -4.89 - i. Which is the smallest value? (a) z (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 7 - 3. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + o**4 - 1 + (2*o + o - 4*o)*(-5*o**3 + 0*o**3 + 3*o**3) + (0*o**2 + 2*o**2 - o**2)*(-o**2 + 3 - 3).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.5 (c) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66.8 + -77. Let p = 10 + o. Let r = 2 - 2.2. Which is the nearest to r? (a) -1 (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 0 (c) -1\/6 (d) 211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**5 - 4*h**4 + 39*h**3 - 19517*h**2 wrt h.\nAnswer: -540*h**2 - 96*h + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1164 = 102*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 68 = 5*c, 34 = z - 0*c + 2*c. Suppose 2 - 15*j**2 - 66 + 124*j + 5*j**2 - 16 - z*j**2 = 0. What is j?\nAnswer: 1, 20\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -b, 0*b = -3*i - b + 10. Solve -2*a + 5*q + 14 = 0, 0 = -i*a - 2*q - q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 685*-0.02\nAnswer: -13.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.1417 years to decades.\nAnswer: 6.01417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -8*p + 35. What is the remainder when 64 is divided by 152\/12 + 1 + p\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -754872 by 568.\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 8*l - 5. What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -2\/3 (c) 17 (d) 35917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 28 - 11*c**2 + 4*c**2 + 2*c**2 + 2*c - 2*c + 4*c - c**2 - 4*c + (1 - 1 + 2)*(0*c**2 + 0*c**2 + 2*c**2) - 4*c + 4*c - c**2 - c + c - 2*c**2.\nAnswer: -5*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6950 minus 0.013?\nAnswer: 6949.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -51*n - 88. Let w = 0.2 + -1.2. Let i = 0.8 + w. Which is the smallest value? (a) i (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 10. Let b = -6 - w. Let j(d) = -4*d - 9. Let q(g) = -g. Let u(r) = -j(r) + 3*q(r). Give u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.69 and 798818.\nAnswer: -1350002.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 9\/13 (c) 0.4 (d) 18 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*t - 14661 + 2971 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 37, 21, -33, -137?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104.25 - 102.25. What is the fourth smallest value in g, 16\/3, 0.01, -3\/8?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-7 - (-30 + 24)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 56.6.\nAnswer: -56.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22127c8 (base 14) to base 15.\nAnswer: -16491d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-231) - (2 + 4232\/(-132)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000880521595 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124*3.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let n = -2.8 - z. Let o = -0.80001 - n. Round o to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2246046, 4492296, 6738544, 8984790?\n\"Answer: -c**2 + 2246253*c - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**10\/j*j*j))\/j*j)\/j*j*j**(6\/5)*j*((j\/((j**(-2\/3)*j*j)\/j))\/j*j)**(-9) assuming j is positive.\nAnswer: j**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 1. Let r be y(-1). Let w = 8262 + -8267. Put w, 2, r in increasing order.\nAnswer: w, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-4)\/(-4155)) + -297 + 289 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 15 + (-3 - -7) - (13 + (-936)\/84)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from fqifqiuifiqffiqfufu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -152956087, -152956083, -152956079?\n\"Answer: 4*r - 152956091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -57 + 41. Suppose 5*y = -t*f + 69, 0 = 5*f + 5*y - 30 - 50. What is the remainder when 33 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 + 5 = 3*j, 4*j + 4 = -4*o. Let l = 0.18 + -0.18. Which is the nearest to l? (a) 2 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295341 + 562378. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-257 - -215) + 19 + 1 + 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43530 and 10.\nAnswer: 43530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. Suppose -w*t = -3*t + 24. Find the common denominator of (-3)\/2*99\/t and 33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6400 = -19*o. Is o less than 320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*u - 64048 - 80112, 3*v - 5*u - 108131 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.5 and 4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 203 = 4*s. Suppose 0 = 3*k + 16 - 1, 0 = 3*t - 2*k - 28. Suppose t*w - 342 = 5*w. Calculate the highest common factor of s and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -449*l**4\/24 - 485*l**3\/6 + 78*l**2 - 2*l. Find the first derivative of q(d) wrt d.\nAnswer: -449","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 912961 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 15*v**3 + 12*v**2.\nAnswer: 3*v**2*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a**2 + 45*a + 1890.\nAnswer: -20*a + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103342143 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 95\/101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 775006.18 take away 0.7?\nAnswer: 775005.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14365 or -933672\/65?\nAnswer: -14365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 233, 7 in increasing order.\nAnswer: -26, 7, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 2*x - 1. Let k(w) = w**2 + 2*w + 2. Suppose 1 = l + 3. Determine l*k(s) - 3*p(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(375\/10) - (-147)\/5. What is the second biggest value in 5\/2, -1\/4, -0.4, m?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 9}. What is prob of picking 2 p and 1 g?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4351 divided by 229.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1 + (-10)\/(-12)). Let k = 4 - b. Let l(d) = d**2 - 1. Let s be l(k). Put 1, 2, s in decreasing order.\nAnswer: s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020314.\nAnswer: 2, 3, 17, 29, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 538 = -824 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hohbqbuhoh. Give prob of sequence ooqu.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/34*(-464)\/(-638)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 7176?\nAnswer: 7175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*x**4 + 836701*x**3 + 95098121*x**2?\nAnswer: 600*x + 5020206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) 1 (c) 2\/191 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/194 and 133\/96.\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 523016483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 385438 - 385534 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 13*g = -8*g + 15, -2*l + 5*g - 3*g = -7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -51, 88, 30 in ascending order.\nAnswer: -51, -3, -1, 30, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.342 in 124, -0.2, -0.13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031967582.\nAnswer: 2, 3, 1021, 168457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127503089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*k + (-4 + 4 + 2)*(-3*k + 3*k + 2*k) + 4*k - k - k)*(-2554 + 1015*k**2 + 2554) to n*k + j*k**2 + r + o*k**3 and give o.\nAnswer: 4060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2342, -10759, -24788, -44429, -69682, -100547?\n\"Answer: -2806*b**2 + b + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (5*13\/(-1105))\/((-2)\/8*-2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -209. Let s = -574 + 579. Suppose s*q + k = 9*q. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 59 = z - 5*d, 4*d - 54 = -3*z. Let t = -22 + z. Solve 3*w + t = -12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2864436, -2864434, -2864432?\n\"Answer: 2*w - 2864438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 0 - 4*s**2 + 1 as b + m*s**2 + u*s and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 329*u - 1340*u + 3610*u + 4829*u + 6625*u in the form l + r*u and give r.\nAnswer: 14053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5585478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -102b91 + -10?\nAnswer: -102ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1938 (base 13) in base 8?\nAnswer: -7265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/(-288)*12\/9. Let g = 22 - 15. What is the closest to g in d, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**3 + 7*g - 1302 - 2*g + 1302.\nAnswer: -22*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from bvapcvaabab?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 2*k**2 + 2*k + 2. What is the tens digit of u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 419 - 5?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 0*d - 7*d + 2*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**7\/525 - 46*r**6\/75 - 374*r**5\/75 - 188*r**4\/15 - 1948*r**2. Solve w(l) = 0 for l.\nAnswer: -2, 0, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 2588*o + 10356. Determine u(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1. Let p(o) = o + 2. Suppose 3*w = 7*w - 4. Let s(n) = w*p(n) - 4*x(n). Find the first derivative of s(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*p = -0*b, 0 = -b + 3*p. Solve 0 = u - b*u - 4*w - 9, -3*u - w = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 5*n**2 + 1. Let q be w(-5). Let l(v) = -q + 6 + 1 - 4*v - 1. List the prime factors of l(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5676218*a**2*x**2 - 6*a**2*x + 5*a**2 + a*x**2 - 16490*a*x + 16*a + 2*x**2 + 11*x + 3 wrt a?\nAnswer: 11352436*x**2 - 12*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/33 and 179\/34671090.\nAnswer: 381381990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (9 - 41) - 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22579\/3306 - -2\/551. Find the common denominator of 34 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-12) - 45\/(-4). Differentiate -2*v**3 + 4*v**3 + 21*v**2 + d*v**2 + 51 with respect to v.\nAnswer: 6*v**2 + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.276 + 0.376. Which is the closest to 4? (a) 0 (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -10336788.\nAnswer: -10336797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-328)\/820)\/((-6)\/(-50))*(-2)\/36.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 173 - 623. Suppose 20 = -145*s + r*s. Which is the third smallest value? (a) -2 (b) 11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-3)*(0 - (-9)\/6). Let q = 40 + 44. Suppose -25 + q = x*s - a, -s = 5*a + 9. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2008568 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6*y - 7*y + 49 - 11 = -6*y + 6*y, 4*b + 678*y + 2768 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*u - 1540 = 396*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 340*o - 1016. Let x be g(3). What is the second biggest value in 5, 1, -3\/2, x, -105?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -29. What is the smallest value in u, 4\/7, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 21*x + 58. Let z(n) = -n**2 - 7*n + 20. Let c be z(-9). Let b be ((-182)\/(-42))\/(c\/(-6)). What are the prime factors of a(b)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93407.\nAnswer: 93407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*p - 14420, 4*p + 14*z - 16*z = 28864. What are the prime factors of p?\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125 is divided by 404?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-4*1\/58) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1 (b) 1\/7 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -185*n**2. Let k(l) = 14*l + 1. Let q(b) = 88*b + 7. Let p(d) = 7*k(d) - q(d). What is p(r(o))?\nAnswer: -1850*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/18 - 18\/9 and 35\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n - 34*n + 45*n + 261492 = 0. What is the greatest common factor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1133748 and 82\/1089.\nAnswer: 12471228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47560\/9 - -30344225\/5742. Find the common denominator of -145\/6 and z.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436881527 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 53.02. Let f = 0.22 + z. Let k be ((-1)\/3)\/(2\/(-6)). Which is the nearest to k? (a) 0.5 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, 9, 0, -12 in ascending order.\nAnswer: -12, 0, 1, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 254751 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 14*n + 2. Let p be g(13). Are p and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -159075304 and -815?\nAnswer: 159074489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 86 - (0 - (-8 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0*f**3 - f**3 - 3*f + 4*f + (-3*f**2 + 8*f**2 - 8*f**2)*(f - f + 3*f).\nAnswer: -10*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -2\/3, 1\/11, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -84 + 6*d + 9*d + 18 - 4*d. Let f be k(6). Solve -25 = 5*l + 4*v, 0 = 4*v - f*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1115 - -1233. What is the remainder when 6488 is divided by m?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668 - 20096 - 2131 = -229*a - 176*a for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 24 = 36*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - q + 1. Let b(g) = 3*g**2 - 2*g**2 - 2 + 2*g + 8*g**2. Determine 3*b(p) + 7*c(p).\nAnswer: -p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151623605\/14946 - -179\/2491. Let k = v - 10123. Find the common denominator of 3\/5 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 - -2?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/2 - (-9)\/(-6). Suppose -23 + 3 = -k*a. Suppose -r = a*r - 65. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*g + 11045 = 0, 6*x - 8*g + 3*g = 22025. What is the highest common factor of x and 1785?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + 0.18. Let i = y + -0.06. Let g = 0.039905 - i. Round g to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -z + 3, -5*c - 5*z + 15 = -4*c. Put 13, c, -1 in descending order.\nAnswer: 13, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/9 and -71\/15405.\nAnswer: 46215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27462 is divided by 6861?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 135, 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 4:58 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2907 and 2223.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 989, 1629, 2355, 3161, 4041?\nAnswer: 4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = -32. Let w be 51\/(-9) + (-3)\/b. Let m(a) be the third derivative of -a**6\/120 - a**5\/12 + a**4\/3 + 4*a**3\/3 - 6*a**2. What is m(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/13 (c) -1\/2 (d) -84 (e) 0.1 (f) 91.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222529*-7.\nAnswer: -1557703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4631*d**2*v*y**3 - 5*d**2*v*y**2 + 3*d**2*y**2 + 2*d**2*y + 3*d*y**3 + 266*d*y**2 wrt v.\nAnswer: -4631*d**2*y**3 - 5*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 57.2 + 1219\nAnswer: 1276.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -4. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -14*h. Let s(a) = 3*a**2 + 259. Let l(r) = -r**2 - 87. Let d(y) = 11*l(y) + 4*s(y). Let f(x) be the first derivative of d(x). Determine w(f(v)).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409 + -10.1.\nAnswer: 398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 2. Let s(d) = d**2 - 3*d + 26. Let b(a) = s(a) + 3*w(a). Is 28 a factor of b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 24*u - 300. Let p be b(12). Let x be 8\/p*(5 + (-259)\/14). Solve -3 + x = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5572 and 1839556.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a*a*a)**3*a**(4\/3)*a**(-9)\/a*a assuming a is positive.\nAnswer: a**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -5*x - 26, -1 = 3*n + 3*x - 5*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/11)*m**(-2\/19))\/(m*m**3*m)**(-2\/65) assuming m is positive.\nAnswer: m**(3343\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2)*y*y**(-4)*(y*y**(3\/2))\/y**(-3) assuming y is positive.\nAnswer: y**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11693 is divided by 2896?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 83362880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -1929.\nAnswer: -1929.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*w + 79 = 120*w - 2*k, w - k + 23 = 0. Let m(b) = -b**2 - 23*b + 54. Calculate m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12002112011 (base 3) to base 10\nAnswer: -100255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15*i**2 - 2\/15*i**3 + 2\/5*i + 0.\nAnswer: -2*i*(i - 3)*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 212\/(-2014) + 1317\/57. Is k bigger than 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -126. Suppose -2*c + q = 4*f, 0 = 4*f + 3 - 19. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*z - 940 = 0, -4*i + 376 = -3*z - 572. Suppose 3*k - i = 3*n, -3*n = 4*k + 189 + 79. Does 14 divide n\/(-10)*(-60)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 35. Let u(w) = w - 17. Let v = -2 + -4. Let b(f) = v*a(f) + 13*u(f). What is b(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.9955 millilitres in litres?\nAnswer: 0.2669955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:04 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -72. Suppose b + 5*f = 1049, a*b - 3*f - 3111 = 28*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 15*s = 20*s - 15, -3*o - 3*s = 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + p**2)*(-p**2 + 3*p**2 + 0*p**2) + (3 + 28 + 0)*(-2*p**3 + p**4 + 2*p**3) - 3*p**4 - 2*p**4 + 3*p**4 - p + p - 2*p**4.\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93571 + -14316418\/153. What is the common denominator of 70\/9 and u?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*s + 650*s + 618*s - 237*s - 1591*s.\nAnswer: 75*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -16. Suppose -h - 2*u = -24, 5*u = -a*h + 94 + 2. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -4.537\nAnswer: 18.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/(0 - (12 + -11)). Solve -2*f - 9*f - s = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**3 + y**2 + 3*y - 3. Let k be r(2). Let w = k - -113. Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 2 - 107. Solve k = -m + 1, -3*k = m + 2*k + a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2967*a**2*b**2 + a**2*b + 37*a**2 - 144*b**2 - b - 21961 wrt b.\nAnswer: -5934*a**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -3 - -4) + -1. Solve 2*g**2 + 11*g**4 - z*g**2 - 9*g**4 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c + 3. Let s = 3 - 7. Let n(w) = -w**2 - 6*w - 2. Let h be n(s). Let u(x) = -4 - x**2 + 2*x + 0*x - 4*x + 3*x. Determine h*t(z) + 5*u(z).\nAnswer: z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 112?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1af - d7df6?\nAnswer: -d7c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 10. Let m(k) = k + 9. Let w(v) = -7*m(v) + 6*r(v). Let j be w(-5). Solve 2*y + j*d + 16 = 0, -4*y + 5*d = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(637) - (sqrt(637) + 2 + sqrt(637)*1 + sqrt(637) + sqrt(637)) - (-1 + (-1 + sqrt(637) + sqrt(637))*3 + sqrt(637)))**2.\nAnswer: -140*sqrt(13) + 63701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 4 + 70\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10902862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 + -104.9.\nAnswer: -262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37269*g*v**2 + 5*g*v - 40047013*g - 2*v**2 + 9*v with respect to v.\nAnswer: -74538*g*v + 5*g - 4*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1958 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75578.\nAnswer: 2, 23, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 912194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -76807 at least as big as -75706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -5\/24*w**4 - 7\/120*w**6 - 33*w**2 - 1\/30*w**5 - 2 + 11\/6*w**3 + 0*w. What is the second derivative of n(q) wrt q?\nAnswer: -42*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 172802.\nAnswer: 1\/172802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13388 + 26?\nAnswer: 13414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170615 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9)*(-137 + -1). Let d = x + 92. Do -5 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 3. Which is the third smallest value? (a) -1 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t - 2. Let n(v) = v - 1. Let l be n(-2). Let p be (11\/(165\/42))\/(l\/15). Let i = -16 - p. Determine c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + 15*s + 2. What is p(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26973 and -9?\nAnswer: 242757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -16 + 3 - d**3 + 12*d**2 + 0*d**2 + 2*d + 3*d**2. Calculate the remainder when (2 + 15\/(-6))*(4 - 68) is divided by y(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:06 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**4\/4 - 98*i**2. Let r(k) = -4*k**2. What is o(r(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 26 = -4*x, 0*x + 4*x = 2*w - 34. Suppose 0 = -10*b + w*b. Let z = b + 2\/7. Which is bigger: 0.5 or z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*m - 123*m = 6. Let g = 447 + -447. Put -6, m, g in increasing order.\nAnswer: -6, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21130 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*y**3 + 8274892*f*y - y**3 + 405*y + 217 wrt f.\nAnswer: 2*f*y**3 + 8274892*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 9 - 3. Let k = -5 - -7. Calculate the remainder when v is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5789, 11650, 17579, 23576, 29641, 35774, 41975?\n\"Answer: 34*r**2 + 5759*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:17 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 8613*h**3 - 4626*h**3 - 2230*h**3 + 30.\nAnswer: -15469*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + -12 + 22 - -36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2669 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is eb2c9 - -29e?\nAnswer: eb578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 502\/(-2761) + (-262)\/11 - 30?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.5 + -40.4876. Let a = i - -0.3876. Sort -5\/4, 4, -1\/20, a in ascending order.\nAnswer: -5\/4, -1\/20, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -8121?\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10479.3 - 1328\nAnswer: -11807.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1 + ((sqrt(24)*-4)\/sqrt(12))**2 + 4 + -1*sqrt(14)\/sqrt(448))*5.\nAnswer: 315*sqrt(2)\/8 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 39*q - 42*q - 2 - 3*q**2 in the form j*q + h*q**2 + r and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -32. Suppose q - x*q + 24 = 0. Solve 3*u - 10 = -5*d, -q*u = -4*d - 2*u - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 16. Let t be h(-12). Suppose -4*m - 2*k = -16, 3*m - 5 = t*k + 7. Suppose -a - m*a = -1535. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -128026.4.\nAnswer: 768158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-13)*y*y**(-44))**(-8))**(1\/60))**(5\/3) assuming y is positive.\nAnswer: y**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 2\/7, -20, 62?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(70) - (sqrt(70) - (sqrt(70)*1 + sqrt(70)))) + sqrt(70) + sqrt(70)*1*3)\/(-5*(sqrt(40) + sqrt(360)\/sqrt(225))))**2.\nAnswer: 343\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 19769977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.16145, -172 in ascending order.\nAnswer: -172, -0.16145, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332002132 + -110?\nAnswer: 332002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421567964.\nAnswer: 2, 109, 311, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 4 - 3*k - 12*k + 0*k**2 + 8. Let o be l(-14). Let a be (-2)\/(-9) + (-4)\/o*1. Solve 3*j + 3*u + 6 = a, -3*j - 3*u - 18 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13621361 and 17563?\nAnswer: 95349527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16293*q - 8157*q - 8133*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04267? (a) -2 (b) -1\/3 (c) -0.2 (d) 67 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Let k = z - 2. Let x(s) = -2 - 34*s**2 + 3*s - k + 35*s**2. Determine x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - u - 23 = 2*u, 5*n + u - 19 = 0. Let z be -3 - (-238)\/n - (-1)\/2. Let j = z + -22. Calculate the lowest common multiple of j and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6664*a**3 - 13329*a**3 + 6664*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7503, 7510, 7529, 7566, 7627?\nAnswer: 7718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -22231*i**3 - 99*i**2 - 99*i + 99. Let m(g) = 889*g**3 + 4*g**2 + 4*g - 4. What is -99*m(a) - 4*w(a)?\nAnswer: 913*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -935 + 935 - 2*n. Let y(k) be the second derivative of k**4\/12 - k. What is i(y(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u - 1. Suppose 0 = 56*j - 145 - 23. Let o(l) be the first derivative of -l**4\/4 + 3*l**2\/2 + 2. Calculate j*k(b) + 5*o(b).\nAnswer: -2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785, -997, -1357, -1871, -2545, -3385?\nAnswer: -4397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*f = 24, -52 = 55*a - 58*a + 5*f. Suppose -3*c + 2 = -2*v, 12 + a = 4*c + v. Solve x - 3*x + c*y + 16 = 0, -14 = -5*x - 3*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 5*i. Suppose i = 3*n + 6*n + n. Suppose -2*x + 3*x + 5*d = 211, 5*d = n. What are the prime factors of x?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 21 = 2*j, 4*j + 477*h = 476*h - 31. Sort 0.94, -1, j, -4, -0.1.\nAnswer: j, -4, -1, -0.1, 0.94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*m + 3*m - 73, -q - m + 19 = 0. Let p = q + -10. Calculate the remainder when 23 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -50.2. Which is the third smallest value? (a) -2\/7 (b) 1\/4 (c) 0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3*w*w**(2\/3)*w*w*w)**(-1\/17))**8 assuming w is positive.\nAnswer: w**(-208\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 5*t = 0. Suppose t = 3*v - 3, -9 - 2 = -2*j - 3*v. Calculate the lowest common multiple of 10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75397 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002147526 to seven decimal places.\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 621333 = 9*d, -5*q - 207057 = 553*d - 556*d. What are the prime factors of d?\nAnswer: 2, 7, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u = -5*j - 32*u - 35, -j - 2*u - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*c - 113*c + 474*c - 119*c - 1620 - 113*c to the form u*c + n and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:31 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*o - 15, 19*r - 18*r = -3*o + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6 = v - 1, 0 = 5*w - 5*v - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*d + 4275*d = -2345*d - 372466 for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/3 + 1\/(-3). Let d = -10 + 20. Let n = d - c. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 51365009 = -5*c, 3*c - 7712300 = 4*f + 23106712. What is c rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11279 - -1?\nAnswer: 1127a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.479161 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 10. Let p be j(-10). Let t be p + 0\/(-4) - -2. Let w(s) = 0*s**2 - s**t + 2*s**2. Let b(l) = l**2. Give w(b(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2*m + 8*m**4 + 2*m**2 + 18 + 1 - 33 to the form h*m**2 + r*m + c*m**4 + t + x*m**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -605297, -1210585, -1815857, -2421107, -3026329, -3631517?\n\"Answer: q**3 + 2*q**2 - 605301*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9585 by -5.\nAnswer: -1917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*q**2 - 28\/5 - 26\/5*q.\nAnswer: 2*(q - 14)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**6\/30 + 51*x**5 + 115*x**2\/2 + 491*x. What is the derivative of j(p) wrt p?\nAnswer: 4*p**3 + 3060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.93 - -10. Let v = 3.33 - 0.4. Let i = v + f. Is i smaller than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 915, 928, 941, 954, 967?\n\"Answer: 13*c + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:35 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70, 0, -70, -140?\n\"Answer: -70*k + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(208) + 0 + 0)**2 + 5.\nAnswer: -24*sqrt(13) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**19*p)\/p**(-9\/8))\/(p**0*p**(-1\/6)\/p) assuming p is positive.\nAnswer: p**(535\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-4 - (-44)\/(-10)). Let t be (1\/6)\/(7\/v). Does 16 divide 7 - 3 - t - -38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/3)\/(48\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 13*n**2 + 24 - 53 + 28 in the form d + i*n + l*n**2 + r*n**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 14 = 4*k + 2, -2*g + k - 15 = 0. Let v(n) = -n**2 - 7*n - 4. Let h be v(g). Let t be (-16)\/h*6 - 3. Solve -t*s - 1 = 3*c, s + s = -3*c + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/11 - 128*w\/11 - 366\/11 = 0.\nAnswer: -61, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20132 = 60*r - 74*r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**7\/210 + r**6\/30 + 4*r**3\/3 - 3*r**2. Let l(w) be the first derivative of i(w). Factor l(v).\nAnswer: 4*v**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:59 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10213?\nAnswer: 7, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-192)\/45 + 1. Let j = -3\/5 - w. Which is the third biggest value? (a) 0 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 5*f + 4. Let z(k) = -k + 1. Let r(x) = -l(x) + 6*z(x). Suppose 3*q - 2*q = -4. What is the remainder when r(q) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3579, -7144, -10729, -14346, -18007, -21724, -25509?\nAnswer: -29374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 1 = 9*g. What is the closest to g in 4, 6, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25599 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 267, 366, 449, 510, 543, 542?\n\"Answer: -n**3 - 2*n**2 + 112*n + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79357939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -h - 4*v, -3*h - v - 5851 = -5843 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*h**3\/3 - 496*h**2 + 381*h\/2 - 18 = 0. Calculate h.\nAnswer: -12, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/2 - b**4\/12 + b**3\/6 + b**2 - 12*b - 2. Let d be w(-1). Let g = d + 72. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 12. Let m = 699 - 633. What is the remainder when m is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196553 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 2*b + 4*b)*(27*b - 12*b - 9*b)*(1 - 3 + 4) to g*b + p*b**2 + v and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctqtcchqqtqatcc. What is prob of picking 1 a and 1 c?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1381 - -1381.1. Let x(j) = j**2 + 5*j + 2. Let u be x(-3). What is the nearest to -3 in 0.5, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-6)\/(-3))\/(3 + -5). Let j(y) = -166 + 6*y**2 - y**a - y**2 - 2*y + 165. Let g(k) = -k - 4. Let f be g(-3). Give j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f**2 - 2*f - 8. Let v be d(-4). What are the prime factors of (-1 + v)\/(-3 + (-1068)\/(-357))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g - 6. Let h be b(-2). List the prime factors of h + (13 - 1) - -4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 4908080727444?\nAnswer: 4908080727443.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 5. Let v(d) = d**2 - 8*d + 6. What is the least common multiple of v(8) and t(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 2602.\nAnswer: -9\/2602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 45*u - 464. Let i be g(29). Put -3, -60, i in decreasing order.\nAnswer: i, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {e: 1, i: 1, n: 3, c: 1, m: 5, h: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 + 116. Solve k + w = -2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 7*h**2 + h - 4. Calculate the smallest common multiple of (8 - 1) + -1 + (-44 - -46) and u(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1957?\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -2.3. Let z be (266\/(-4))\/19 + 2 + 2. Suppose -u - 11 = -2*u + 4*d, -5*u - 41 = 4*d. Which is the nearest to z? (a) u (b) j (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 5 - 4 + 6. Let v be t(5). Let q be (-1)\/(-18) - v\/(-36). Is 1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*n*w - 15*b**2*w*y + b*n**2*y + b*w**3 - 4*n**2*w**2 - n*w**2 + 5*w**3*y wrt y?\nAnswer: -15*b**2*w + b*n**2 + 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 14, -188, 4, 5, -5 in descending order.\nAnswer: 14, 5, 4, -5, -8, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 24*a + 41. What is u(-25)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 0.1. Let m = 19 - 19.3. Which is the nearest to 0.1? (a) 4 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k + 14. Let v = -17 - -17. Let t be ((-60)\/10)\/(v + 2). Let r(n) = 6*n - 7. Let u(f) = t*x(f) - 7*r(f). Differentiate u(h) with respect to h.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(119) - (sqrt(119) + sqrt(119)*-1*3))\/sqrt(7)*-5.\nAnswer: 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6613381 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.96814 centimeters to meters.\nAnswer: 0.0696814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose 2*x = 2*m - 28, -u*m + 7 + 18 = -x. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u**4 + 15*u**4 - 20*u**4)*(0 - 1 + 4).\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552294 is divided by 169.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.301, 2, -46, 5, 4?\nAnswer: -0.301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 8*p - 7*p = 1, o - 4*p = -4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 45*t + 353. Give l(-52).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2341111 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 474c?\nAnswer: 4756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 3*d**2 - 11*d**2 + 6*d**2 + 15*d.\nAnswer: -7*d**2 + 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 + 4 = s, -c - 5 = -5*s. Let m(p) = -p**3 + 2*p**2 - p + 2. Let v be m(s). Solve 3*l + 2*d + 19 = v, -4*l + 4*d - d = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -32, -61, -88, -107, -112, -97?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Suppose 2*x - 4*u - 12 = -4, -g*u + 16 = 4*x. Let a = x - 1. Let h(r) = -r**2 + 3. What is h(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 60 (c) 5.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:38 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -87\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6367777.26\nAnswer: 6367773.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y - 2. Let c(v) = v + 5. Let r be c(-7). Let j be h(r). Calculate the highest common factor of j and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.877 - -5.87713907. Round u to six dps.\nAnswer: 0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 244?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 2*t**2 + 4*t + 3. Suppose -2*a + 7*a + 5 = 0. Let c(w) = w**3 - w**2 - w. Let s(n) = a*k(n) + 3*c(n). Give s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -317, -336, -373, -434?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180 and -125564.3.\nAnswer: -22601574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8\/(-12))\/((-242)\/(-246) + -1) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -20*v - 26. Let r(i) = -7*i - 9. Let a be 19 + 0 + (-28)\/7. Let k = a - -15. Suppose 3*b - k = 21. What is b*r(s) - 6*h(s)?\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158355 take away 6?\nAnswer: 158349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 7*z + 99 = 0. Sort z, 5, 3 in ascending order.\nAnswer: 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 785134*k - 1570254*k - 4 + 785120*k.\nAnswer: 10*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(1 + (-2)\/6). Let w = 2 + c. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5391*v = -4072*v - 80459 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 176, 0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5922542 times 0.42\nAnswer: 2487467.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-790)\/(-30) + 2\/3. Let m be (-2 - 3)*(-6)\/(-105). Are q and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0 - 18. Let c = 5 + w. What is the units digit of ((-6)\/c)\/(3\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (338\/5915)\/((-2)\/((-20)\/(-6)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.006 - -0.005832. Round m to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = t - 31. Suppose 5*n + 9 - t = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41425*l + 75556*l - 41787*l.\nAnswer: -7656*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p + 5*k = 221, -4*k = -p + 176. Let t = p + 71. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(45)\/sqrt(9)))**2.\nAnswer: -72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*v**2 + 7*v + 7*v**2 - 9*v)*(9*v**2 - 76*v**2 - 219*v**2).\nAnswer: 4862*v**4 + 572*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372556*h = -372574*h + 612 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 38. Let u be q(-16). Let k = u + 32. Calculate the lowest common multiple of 26 and k.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + 4. Is (-1)\/p + 43\/2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117771 (base 10) to base 4\nAnswer: -130300023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k - 3*k - 9*k)*(3 - 8 - 38*k + 3).\nAnswer: 494*k**2 + 64*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.8 + 14.53. Let y = x - -0.27. Put -3, 2, y in decreasing order.\nAnswer: 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 63, 131, 247, 423, 671, 1003?\n\"Answer: 2*u**3 + 6*u**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 25*c + 1109. Let f be z(23). Solve 12*o + 7*w + 29 = 14*o, 3*w = -f*o + 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -2. Let n = -15.64 + q. Let b = n + 0.6431. Round b to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6523, 6528, 6543, 6574, 6627, 6708, 6823?\nAnswer: 6978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d - 2*x + 629, -d - 5*x + 626 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-64)\/36)*4. Solve 0 = -5*b - 6 - s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3 - 3) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 - (-3)\/4. Let t = -0.5 + 0.8. Let d = 0.4 - t. Is q bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, d: 3}. What is prob of sequence ddds?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(208))*2 - (sqrt(208)*2 + -3))**2*1 + 3.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 - (-4 - -3). Let u = 18 - 15. Suppose -4*j + 16 = s, -u*j = -2*j + r*s - 4. Solve 0 = 3*g - j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*m*r**2 + m*r + 23*m - r**2 + 13 wrt r?\nAnswer: 70*m*r + m - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, q: 1, e: 1, r: 3}. Give prob of sequence rt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0 + 1\/15*i**6 + 9\/20*i**5 - 3\/2*i**4 + 84*i + 3*i**2 + 1\/6*i**3. Determine w, given that q(w) = 0.\nAnswer: -6, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.11145+-165.9\nAnswer: -136.78855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 1\/6*u**4 + 25*u**2 + 0 + 1\/40*u**6 + 0*u + 1\/60*u**5 + 0*u**3. What is the units digit of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*j - 194 = 0, 6*m - 2*j = 5*m + 91. Suppose -4*a = a - m. Find the second derivative of -19 - 2*d**5 + 2*d + a wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -50. Is (-10)\/5*487*z\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 303\/(-33) + (-190)\/(-1045)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 54*h - 2546. What is the ten thousands digit of l(-81)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 0 + -5.\nAnswer: -5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 13 = -1. Let t(d) = d**2 + 4*d + 10. Is t(h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21*i**3 + 46*i**2 - 26*i - 611. Let p(l) = 10*l**3 - 23*l**2 + 12*l + 305. Let c(s) = -13*p(s) - 6*q(s). Find the first derivative of c(n) wrt n.\nAnswer: -12*n**2 + 46*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - 288\/(-160). Let b = 5 - 3. Find the first derivative of -i*a**3 - a**3 - 4*a**3 - b wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 28376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - w + 57, 4*o - 18 = -3*w + 53. Calculate the greatest common factor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 145 - 141 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.972406 + -1.9908. Round s to 4 dps.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 1276\/7. Which is the smallest value? (a) -11 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/13)*t**(-1\/21)*(t*t**(-8\/7))\/((t\/(t\/t**17*t))\/t))**(16\/5) assuming t is positive.\nAnswer: t**(-65008\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:07 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04583177 and -1?\nAnswer: -0.04583177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -4*b + 3*n, -b = -2*n - 18 - 14. Let v be ((-45)\/10)\/((-6)\/b). Suppose z = -2*z + v. Calculate the remainder when 17 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367*l**2*p**2 - 33*l**2 + 7*l*p wrt p.\nAnswer: -734*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 - (2 + (-4)\/2). Suppose 3*b = -2*z + r, 3*z - 2*b = b + 33. Solve 0 = 2*n + n - z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(294\/(-18)))\/((297\/2457)\/(-11)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 56\/5 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -4 - -1 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 9*j**4\/2 + 343900*j**3 + 8760559548*j**2 + 74390129157936*j + 16530707196424 = 0?\nAnswer: -25474, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 331?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -27, -33, -33, -27, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*s**3 + 38*s**3 + 40*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 8577*y - 5 = d + 8572*y, 126 = -26*d - 3*y + 4*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-16 + 3) - (14 + 10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 106. Suppose -198 = -5*y + 4*b + 87, b - z = -2*y. Suppose w + 2*w - y = 0. Solve x + w = 4*g, x + 4*g - 16 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 4:19 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 608\/64 + 1\/2. Suppose -c*p - 697 = -27*p. Let x = p + 84. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*k - 121*k + 1 + 67*k + 153*k - 10 to t + v*k and give v.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.156 and -99432562.\nAnswer: -99432562.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 78397.71km?\nAnswer: 78397710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1283, -27.\nAnswer: -27, 2, 1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 2. Is q(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/105*20*7\/(-10)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgzzzzgzgzgggzggg. What is prob of sequence zz?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*w**2 - 59*w**2 - 50*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 5. Suppose 0 = -3*n, 3*z + 0*z + 2*n - 6 = 0. Calculate the remainder when i(-2) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-378))\/(34\/(-3094))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*a = 2329*a - 25369 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3, 50, -0.3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*g*h**3*n**3 - 389124*g*h**3*n**2 + g*h**3 - 583*g*n**3 + h**3*n - n**3 wrt n?\nAnswer: -234*g*h**3 - 3498*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/2*(-6)\/27. Suppose -r*a + 346 = -90. Suppose 0 = -6*t + t - 3*o + 272, -4*t - 2*o = -a. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = -f, 3*f + 3*a = 4 - 10. Which is smaller: f or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 92 = -4*d, 10*d - 19 = -4*m - 87 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -727549.629938 - -727549. Let y = 757.37 - 758. Let b = l - y. What is b rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19596, 78413, 176442, 313683, 490136, 705801, 960678?\nAnswer: 1254767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1535c (base 14) to base 10\nAnswer: -52806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -73 (b) 12 (c) -0.1 (d) 5 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-4))\/15*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 9. Let u = n + 5.17. Let q = u + 0.38. What is q rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 477.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)*d*d\/(d*d**(2\/5)\/d))**(-16) assuming d is positive.\nAnswer: d**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/1975 and ((-3)\/50 + 0)*8690\/(-198)?\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 14 - 8)*(-j**2 + 0*j**2 + 5*j**2) as t + h*j**2 + y*j and give h.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from albatzgz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9767.6l to millilitres.\nAnswer: 9767600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 261676505*o + 209690520 wrt o?\nAnswer: 261676505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m + 9*m - 27*m + 19. Let c be l(3). Put -1, c, -5 in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.5432ug in kilograms?\nAnswer: 0.0000005775432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*x - 22*x + 5*b + 7, 3*b = -2*x + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 3*c - 3. Let j(p) = -3*p**2 - 5*p + 6. Suppose 0 = 5*a + 32 - 7. Let t(g) = a*z(g) - 3*j(g). What is the first derivative of t(x) wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -2 + 4 + sqrt(300))*-1)**2.\nAnswer: 80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24512643 divided by 3.\nAnswer: -8170881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2 + 0*y + 1\/2*y**2. Give m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + 155\/(-30))*-6. What is the third biggest value in y, -4, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 + 3033066*s - 766624113363 = 0 for s.\nAnswer: 505511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -132*z**3 - 130*z**3 - 9*z**2 + 391*z**3 + 13 - 128*z**3. Calculate a(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (128\/(-12) + -3)*3. Let f = -6 - c. What is the remainder when f is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10323512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 889499?\nAnswer: -88949a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2601287067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 26\/4*-2. Let v be (-2)\/8 + (-42)\/24. Let l = h + v. What is the smallest common multiple of l and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114331398 < -114331403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhdhrhhrrgrgrddzdf. What is prob of sequence gz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**37\/l)\/(l*l**(-3\/32)\/l)*l*l**(-32)*l*l*l\/l**6 assuming l is positive.\nAnswer: l**(67\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 6 + 2 - 8*c. What are the prime factors of v(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7380.583 minutes?\nAnswer: 442834.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -21, -59, -131, -249, -425?\n\"Answer: -2*t**3 + t**2 - 5*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519263 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.065426 * -0.1\nAnswer: -0.0065426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -80?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -36. Suppose 3*c + 2*c - q = 0. Find the third derivative of -31*i**2 + 16*i - 3*i**4 - c*i - 13*i**4 wrt i.\nAnswer: -384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 871896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2. Let t(p) = 68*p. Calculate a(t(s)).\nAnswer: -18496*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 5*s**4\/8 + 124*s**3\/3 - 136*s**2. Let d be f(-16). Solve 2*r - r - d = p, 4*r - 27 = 3*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 7. Let i be n(3). Let j = -5 - i. Solve -5*f + j = -6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2 - -2) + -28 + 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - 18*o**2 - 56*o + 358. What is p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/90)\/((-13)\/(-156))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2349)\/1044)\/((5\/25)\/((-48)\/(-20)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 2:03 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14*x**2 + 8*x + 18. Let r(n) = -2*n**2 + n - 1. Determine -l(d) + 4*r(d).\nAnswer: 6*d**2 - 4*d - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425112?\nAnswer: 2, 3, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 24921*r + 6529308. What is k(-262)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.5 - 25. Let x = -0.4275 - -0.2275. Let s = -4 - -3. What is the nearest to s in d, x, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141361686 a multiple of 2805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-5)))\/(d\/((d\/(d*d*d**(1\/8)))\/d*d))*(d*d**(-5))\/d**6*((d*d\/(d**(1\/3)*d*d*d))**(-1\/13))**(-8\/3) assuming d is positive.\nAnswer: d**(-6925\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 5. Let s be ((-120)\/12)\/(2\/(-13)). Let w = s + -57. Calculate the remainder when x(6) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 391.147 - -126.483. Let d = -521 + f. Round d to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(76) + ((1 + sqrt(76))*-3 - sqrt(76)).\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22033 (base 4) to base 10\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 78\/21 + 4\/14. Suppose -y = 4*k + 3*o + o, 0 = 5*k + 2*o - 4. Suppose -k*s = -0*s - 422. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266769, -266767, -266763, -266757, -266749, -266739, -266727?\nAnswer: -266713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 3*d**2 + 43*d + 6. Let x(t) = -5*t**3 - 2*t**2 + 44*t + 6. Let y(c) = 4*g(c) - 3*x(c). Let l be y(-10). Solve 4*u + l = -14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6499592 and 443154?\nAnswer: 19498776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 + 109 = 9*y. What is the remainder when 53 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 3*k**2 - k + 3. Let g be l(3). Let w(m) = -1 + 0 - 1390*m + m**3 + 1391*m. What is w(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 + 344. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 smaller than -18817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*f**3*r**3 - 23*f**3*r**2 + 4*f**3 + 25078*f**2*r**3 - f*r**2 + 3*r**3 + 169*r**2 - 1 wrt r.\nAnswer: 702*f**3 + 150468*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 48 = -5*a, 5*r - 8 = -4*a + 13. Differentiate 10*c**2 + 7 + 0*c**2 - a*c**2 + 0*c**2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125 and 18750?\nAnswer: 18750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7898*y**2 - 3949*y**2 + y**3 + 3*y + 0 + 0 - 3949*y**2.\nAnswer: y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 + 85204*u\/13 - 766998\/13.\nAnswer: 2*(u - 9)*(u + 42611)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 1:13 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 123 in 1\/17, 5, -0.02, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 + 9*h**2 + 2*h + 1. Let c(q) = -3*q**3 - 10*q**2 - q - 1. Give 3*c(s) + 2*n(s).\nAnswer: -s**3 - 12*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-2*(-692)\/8304.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + q + 180. Let s be y(0). Suppose -6*t - s + 240 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -371\/6 + 62. Let p(n) be the first derivative of 3\/4*n**2 - n - 1 - j*n**3. Determine f so that p(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 - ((-12 - -8) + 14). Solve -j = -t*k + 4*j - 19, -4*k + 2*j = 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 80.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247855352?\nAnswer: 2, 191, 162209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/6 - 11*f**5\/4 - 65*f**4\/12 + 55*f**3\/6 + 30*f**2 - 34*f. Suppose h(s) = 0. What is s?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -10 (b) -2 (c) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r + 5 - 12 + 2 + 4. Determine x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2985940 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(75) - 5*sqrt(75)*1) + 5)**2 - ((sqrt(75) + (sqrt(75) - ((sqrt(75) + -2 + 1 - sqrt(75)) + sqrt(75))) - sqrt(75))*-1)**2*4.\nAnswer: -200*sqrt(3) + 1221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.92923 rounded to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/11531695 and 22\/11531695.\nAnswer: 11531695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 32. Suppose -7*q - q = -32. Suppose -3*u = 3*g, 0 = g + q*g + 2*u - 12. Calculate the highest common factor of g and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254552997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1545687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*g*p**5 + 3*g*p + 26439*g + p**5 + 518*p**2 - 5*p - 2 wrt p.\nAnswer: 2720*g*p**3 + 20*p**3 + 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6)*(-22)\/(660\/45))\/((-66)\/(-352))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((2 - -3) + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 0)*(-10784 - p**3 - 1572*p**2 + 10784) in the form c + k*p**2 + h*p**3 + q*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (-54)\/10. Let p(z) = 2*z**2 + 3*z + 6. Let y(c) = -3*c**2 - 6*c - 11. Let r(x) = j*p(x) + 3*y(x). Is r(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 252978.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -56 - 554*m**2 - 69 - 52 + 177. Let r(q) = 6*q. Determine r(f(b)).\nAnswer: -3324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-6)\/(-8) - 1\/4. Let l = -48 - -52.2. Let u = 4 - l. Sort u, c, 0 in descending order.\nAnswer: 0, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f**3 + 3*f - 3. Let m(x) = -66*x**3 + 16*x - 16. Let z = 1469 - 1466. Calculate z*m(u) - 16*r(u).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 33*i + 1. Let o(m) = m. Let t be -25*(-3)\/450*(-9 - -2 - -1). Determine t*g(h) + 5*o(h).\nAnswer: -28*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 6*i + 10. Determine j(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 - 2*g - 1. Let v(x) = 3*x**3 - 5*x**2 + 121*x + 4. Let c(a) = -4*p(a) - v(a). Find the second derivative of c(o) wrt o.\nAnswer: 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 5, 0 in decreasing order.\nAnswer: 5, 0, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1050.67 or 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -9137388286308?\nAnswer: -9137388286304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 116. Let d(g) = -793*g. Give d(h(b)).\nAnswer: 1586*b**2 - 91988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 5*28\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -206 and -22686?\nAnswer: 22480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 21857088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*v = -74, 0 = c - 3*v - 20 - 3. Let l(p) = -7*p**2 - 8*p**2 + c*p**2. Let o(u) = 13*u**2. What is l(o(a))?\nAnswer: 338*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1799230700 to the nearest one million.\nAnswer: -1799000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24390 and 533870.\nAnswer: 4804830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 159810 or 159801?\nAnswer: 159810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19088716.\nAnswer: 2, 4772179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*i - b - 68*b + 301 = 23*b, 0 = 8*i - b - 197 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 2, q: 2, e: 1}. What is prob of picking 1 v and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:23 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 13 - 13 + (-1 + 1 - j)*(58*j**2 - 20*j**2 + 18*j**2).\nAnswer: -54*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926849856 to the power of 1\/2, to the nearest integer?\nAnswer: 54100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 19, 56, 121, 220, 359, 544?\n\"Answer: r**3 + 5*r**2 - 7*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4080\/(-504) + 13 + 5\/(-1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -111617 and 0.22.\nAnswer: -111616.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*c - 84 = 0, -5*r - 6237 = 4*c - 6153 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1010 divide 1451749895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + -11 + -14 + (5 - (-21 + 19)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8773956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640887 - 640887 - 199*y**3.\nAnswer: -199*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.27 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4256*i - 395880 = -3685*i + 18102*i + 9633*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 3*h + 766 + 4*h.\nAnswer: -3*h + 766","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m + 6 = 0. Suppose -37*j - 190 = -47*j. Suppose j*c = 22*c - 33. Solve 0 - c = w + m*f, -w + f + 1 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffz when four letters picked without replacement from {z: 7, f: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -26*l - 32. Is 46 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-242)\/77)\/(4\/(-14)). Suppose 0 = 2*r + 4*f - 295 + d, -431 = -3*r - f. What is the remainder when r is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78024677.\nAnswer: 163, 478679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.1241 and -1448641341.\nAnswer: -1448641330.8759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {f: 2, k: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 4, s: 1, a: 2, e: 1}. Give prob of picking 1 e and 1 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 433 + -141. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + a**2 + 24*a + 36.\nAnswer: -(a - 6)*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w. Let n be l(1). Let b(h) be the third derivative of -h**5\/60 - 5*h**4\/8 + 19*h**3\/6 + 9*h**2. Let i be b(-16). Put -3, i, n in decreasing order.\nAnswer: n, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/834350 and -59\/3512.\nAnswer: 1465118600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 - 22*l**2\/9 - 4*l - 16\/9.\nAnswer: 2*(l - 4)*(l + 1)**2*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uluw when four letters picked without replacement from gwucllwcwlwuwuw?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036652 rounded to six dps?\nAnswer: -0.000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -41*i - i**2 - 137 - 127\/3*i**3. What is the second derivative of l(s) wrt s?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/741201 and 25\/33?\nAnswer: 8153211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/(-1)*(-22)\/44.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -94. Let y be n\/10 - 20\/50. Let k(a) = 0*a**2 + 0*a**2 + a**3 - 1 - a**2 + 3*a - 2*a. Let s(w) = -w**2 + 1. Give y*s(r) + k(r).\nAnswer: r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 23. Let q(m) = 2*m + 16. Let j(z) = -4*z - 28. Let b(l) = -5*j(l) - 9*q(l). Give b(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + 3. Suppose 0 = 2*k + 4*a + 64, -2*k + 3*k - 4*a = -8. Let b = -28 - k. Let n(c) = c**2 + 1. Give b*n(h) + p(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -908 = -5*v - 4*x, -2*v - 4*x + 2*x + 364 = 0. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0078 and -2326?\nAnswer: -18.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.1 + -10. Let v = 7.6 + -4.2. Let r = v - 3. Put s, 0, r in decreasing order.\nAnswer: r, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/(24\/(-18))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 7. Let c be (-2)\/(-4)*(16 + -4). Let i = c + -1. Give r(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*v, -2*n - 10 + 30 = -2*v. Suppose -2*f - 6*s + 3*s = -13, 3*f = -5*s + 21. Let r = n - f. Solve -r*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, 10, 91, 212, 379, 598, 875?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1058 and 7152609.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 4*(-4)\/(-16). Suppose p*z = 50 + 38. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*s**5 + 24*s**3 + 22607*s**2 wrt s?\nAnswer: -4020*s**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/(-14) + 2\/7. Suppose 95 = -58*y - 21. Sort z, y, 7 in decreasing order.\nAnswer: 7, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119837754, 119837756, 119837760, 119837766, 119837774, 119837784, 119837796?\nAnswer: 119837810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 835160*k - 34874611280.\nAnswer: -5*(k + 83516)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3 - 3 + 5 - 1 + g. Calculate the smallest common multiple of 5 and t(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58855, -2\/3, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 i when four letters picked without replacement from {q: 2, i: 1, y: 2, g: 1, o: 2, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 204995740 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -808733.9 plus 167?\nAnswer: -808566.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25351973, 50703909, 76055833, 101407739, 126759621, 152111473?\n\"Answer: -v**3 + 25351943*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 4. Let p be i(0). Suppose -p*z + 76 - 24 = 0. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -538, -3, -24, 13, 3, -8 in increasing order.\nAnswer: -538, -24, -8, -3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1482*j = -1488*j + 2142. What is the greatest common divisor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40704*q**4*s**2 + 125*q**4 + 504319*s**2 wrt q?\nAnswer: -162816*q**3*s**2 + 500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-4 + sqrt(7) + 4)*-1.\nAnswer: -4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 174*m + 2438. Let h(p) = -33*p - 487. What is 3*d(z) + 16*h(z)?\nAnswer: -6*z - 478","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011001100000100001 - -11100?\nAnswer: 111011001100000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1783 - p - 1781 + p**3 + p + 4*p**2 + 2*p. Give s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 1a4aa68?\nAnswer: 1a4aa72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 380.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*h*k**5 - 5*h*k**2 + 17*h*k + 11*h wrt k.\nAnswer: -480*h*k**3 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-15) + 32\/30. What is the nearest to 2 in -2, t, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.495 times -0.7?\nAnswer: 2.4465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 29 = 5*y, -3*j = -6*y + 2*y + 21. Let l be 0 + 6\/3 + j. Let g = l + 20. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from {m: 2, q: 2, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by (-12 - -6)*-2*22\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l + 8. Let d be o(0). Suppose -48 = d*k - 12*k. Suppose 0*f + 4 = 4*x + f, -4 = x - f. Solve x*w + 2*w = 0, 5*w - k = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000046636 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = r + 3. Is -14*(-2 - r\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 8*i + 25. Let k(m) = m - 1. Let t(z) = -f(z) + 2*k(z). Let a be t(-12). Does 26 divide (-111)\/6*2\/a*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -678434 + 1153615. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 216\/(-12) + 130\/22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/2 + 1755*l**3\/2 - 23418*l**2 + 155520*l = 0.\nAnswer: 0, 12, 15, 1728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -3 (c) 28.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 7*h**3 + 2*h**3 + 0 + (0 + 0 - 2)*(8 - 1 + 1)*(0*h**3 - 3*h**3 + 2*h**3).\nAnswer: 11*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6937267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226247.\nAnswer: 7, 32321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75530*k + 11*k**2 + 5 + 17339*k - 2*k**3 - 13*k**2 + 3*k**3.\nAnswer: k**3 - 2*k**2 - 58191*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.443*-3.\nAnswer: 34.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -452.857428 to one decimal place.\nAnswer: -452.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3 + 4*b + 2*b - 2 - 3*b. Let c be n(1). Let y be (-1390)\/(-35) + c\/14. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109224449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -8, -6 in descending order.\nAnswer: 5, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 - ((-72)\/60 + 52\/10) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -42. Calculate the remainder when 187 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 249, 10, -58 in decreasing order.\nAnswer: 249, 10, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -370, 6, -5, -3\/5, -3.1, 0 in increasing order.\nAnswer: -370, -5, -3.1, -3\/5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31 - 0.22. Let l = 1.09 - p. Let g be (-10)\/18 + (-2)\/(-6). Which is the smallest value? (a) g (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-42)\/(-140)*20*(-14)\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 23*x - 5. What are the prime factors of q(-8)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*m + 6, o - 13 = -4*m - 1. What is the derivative of -6*b**3 + 1 - b**3 + o*b**3 wrt b?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((338\/(-4))\/(-13))\/(2\/(-168)). Let p = 797 + x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*b + 2*r, -5*b - 4*r + 3 = -0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2046 = 8*z. Let v = z - -605. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(17))**2 - (sqrt(17) + 3 + -3)) + -2*((sqrt(153) - (sqrt(153) + 2*sqrt(153))**2) + 5).\nAnswer: -7*sqrt(17) + 2757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = -237 + 349 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t - 30 = 0. Let s(m) = 203332*m + 8. Let a be s(t). Round a to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -22 - (1 + (-2 - 8))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1026508.896 microseconds?\nAnswer: 0.00000169727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k + 1. Suppose -8*s = -11*s. Determine o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3072937252 and 0.2.\nAnswer: -3072937251.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(320) + 0))*4 + 4)**2.\nAnswer: -224*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**4 + n**3 + 0*n**4 - 2 + 0*n**4 - n as z + q*n + g*n**4 + t*n**2 + k*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 16000?\nAnswer: -1\/4000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*r*z - 288*p**3*r + 249*p**3*z - p**2*r*z + 59372*p*r wrt p?\nAnswer: -12*r*z - 1728*r + 1494*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 347427.3 micrometers?\nAnswer: 0.3474273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2236, 2233, 2232, 2233?\n\"Answer: v**2 - 6*v + 2241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4568 + 4568.688. Round b to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/7435278 and -35\/102.\nAnswer: 126399726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.498103 years to months.\nAnswer: 5.977236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/115, -3.4, 12 in descending order.\nAnswer: 12, -8\/115, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 54\/5)\/(5\/25). Let y = 108 - h. Calculate the highest common factor of 52 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431425 to the power of 1\/2, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-18) + 4)*8\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {a: 2, w: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86332812 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (9 + -7 + 1 + -2)) + -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h**(4\/9)*h)\/h))*(h\/(h*h**(-6)))\/h)**8)**7 assuming h is positive.\nAnswer: h**(2744\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 20 - 86. Let d = -8 + g. Suppose -4*q + 10 = 2*n + n, 3*n + 2*q - d = 0. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 28*y + 2. Let l be i(-2). Let s(g) = -g**3 - 14*g**2 - 12*g + 1. Let d be s(-14). Let o = l + d. What is the remainder when o is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41145 and 276?\nAnswer: 3785340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/728 and -7\/130.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 - 419 = -48*u + 254 + 433 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582 and 58394?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(96\/132)\/(-8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 678\/923?\nAnswer: 678\/923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.059, -100, 0.1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let z be s(-1). Let x = z - -1. Let r = -6 + 6.5. Which is the closest to 1\/2? (a) r (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1161 - 184?\nAnswer: b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 37*j + 166. Let d(h) = -53*h - 168. Let s(o) = 4*d(o) + 5*u(o). Determine s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzwrrwzjnwuwuj. Give prob of sequence uz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 47952 + 15142 = 0. Let q = l + -1040. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - 16*l + 8. Let q be s(7). Suppose 7*i - q = 6. Calculate the remainder when 77 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1\/25, -12\/77, 0.2, 2\/3?\nAnswer: -12\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)\/x*x)**(-23))**(-31\/4) assuming x is positive.\nAnswer: x**(-3565\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 8 = -c, 2*i - 4 = c. Let q(t) = 11*t**2 + 5 - c*t**3 - 6*t**3 + 11*t**3 - 15*t. Is q(-12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose -z + 4*i = 10 + 10, x*z + i = -80. Let d = z - -29. What is the highest common factor of d and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/5 (b) 1.23 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -52 - (-86 - (-48 + 33)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2134352 is divided by 2133739?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 3051?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0 + 10\/7*w**2 - 20*w - 1\/35*w**5 - 5\/21*w**4 + 2\/21*w**3. Find g, given that j(g) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.72841 decades in centuries?\nAnswer: 1.772841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z - 6. Let t be m(3). Let h(u) = -5*u - 4*u + t*u + u. Let y(o) = o**2. What is y(h(s))?\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/10 + 22*g**3\/15 - 48*g**2 + g - 1174. Factor o(w).\nAnswer: 2*(w - 6)*(3*w + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 54 = -5*f, 5*k - 2 - 95 = -3*f. Suppose -5*p + 40 = w - 31, -6*w - 5*p = -351. Calculate the remainder when w is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*d - 55 = 74, -d = -4*g - 133. Let n = -30 - g. Suppose -4*r + 205 = -n*a, 0 = -r - 0*r - 2*a + 43. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001969 rounded to six dps?\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -272 + 7911. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -8*u - 70. Solve -u*r + 0*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + c = 12, 4*c + 3788 = 2*h + 3794 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 14*h - 771 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - v - 39. Calculate p(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1779 and -97\/300.\nAnswer: 177900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:29 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(143) - -5*(-4*sqrt(143) - sqrt(143)))\/(sqrt(22)\/sqrt(288)).\nAnswer: -288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-6)\/(-84)*(714\/20)\/(-17)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, p: 4, y: 6}. Give prob of sequence ppyj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -13*c - 3. Let q be (-15)\/5*4\/c. Let d be ((-2)\/q)\/((-9)\/(-126)). Let i(y) = y**2 - 8*y + 6. Calculate i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 22559\nAnswer: 9023.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 171*c**2 + 1598*c + 67. Give x(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 1, s: 7, g: 3, n: 6}. Give prob of picking 1 n, 1 g, and 1 c.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74, 33, -20, -91, -186, -311, -472?\n\"Answer: -a**3 - 34*a + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = -3, v - i - 17899 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10477, 10102, 9751, 9436, 9169, 8962, 8827, 8776?\n\"Answer: 2*q**3 - 389*q + 10864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.9742 centuries in months?\nAnswer: 68369.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/19, -5, 0.8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 4 - z**3 - 339*z**2 - 2 - z**4 + 355*z**2 as v*z**4 + u + m*z**2 + s*z + y*z**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23377 is divided by 1948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*x + 17*x = -2675 + 8975 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2.4, -1.3, -3, -15, 2, -140?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 5*c**2 - 5*c - 5. Let u be o(-5). Suppose -u - 12 = -4*p. Let a(t) = -t**2 + 10*t - 3. Give a(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 15 = 0, 0 = 5*s - x + 4*x - 34 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-6) + 2)*-33. Let v be (-35)\/a + (-12)\/66 + 0. Let s be 3 + -3*v\/(-9). Solve -12 = s*y - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5524564474.\nAnswer: 2, 11, 13, 59, 327401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130216474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 81\/17711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -19, -14, -9?\n\"Answer: 5*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21387320 is divided by 62536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 8. Let u be q(3). Is 12 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -1\/11, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -221. Let o = -18 - r. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 times 1.226?\nAnswer: 71.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*l - 17. Let r(x) = 2*x**3 - 37*x**2 + 24*x - 87. Let w be r(18). Let t be l\/w + (-6744)\/(-1827) + -4. Sort 0.1, -3\/4, t.\nAnswer: -3\/4, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 19*t**3\/3 - 49*t + 18. What is the first derivative of p(k) wrt k?\nAnswer: 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3 + 20365*d**2 + 42144*d.\nAnswer: 6*d + 40730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:25 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**5\/20 + 5*i**4\/6 - 14*i**3\/3 - 33*i**2\/2 + 119*i. Is c(-7) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4410.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37\/5, 0.151, 64\/11 in ascending order.\nAnswer: -37\/5, 0.151, 64\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 295982 - 143821. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-882)\/(-70)*20\/6. Let k(b) = 10*b - 98. Let d be k(14). Suppose -d = -9*o + 6*o. What is the greatest common divisor of o and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(192\/(-9))*(-548)\/(-411).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30.1, -0.035, 14, 0.12 in descending order.\nAnswer: 14, 0.12, -0.035, -30.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 963007189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 10*g**2 - 8*g - 55. Let o be q(7). What is the highest common factor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 36 - q**2 + 4*q**3 - 6*q**4 + 19 in the form f + s*q**3 + t*q**2 + n*q**4 + m*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.4, -113, -0.3, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1517 + -1512. Solve -s + 14 = -z*c + 33, 2 = 2*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -8\/11 (c) 1\/32 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 131*r = -45*r - 16*r + 3318 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5728 - -16801. Suppose -g - 2291 = -4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l)*(l - 2*l - l)*(-6 + 6 - 6*l**2).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 3*x**2 - 2*x - 3. Let i(u) = -3*u**3 + 4*u**2 - 2*u - 4. Calculate -5*i(y) + 6*q(y).\nAnswer: 3*y**3 - 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2 + 1176782*f + 2353572 = 0.\nAnswer: -2, 588393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002144916214 rounded to 5 decimal places?\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19966443*0.3\nAnswer: -5989932.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -792, -1189, -1588?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -654 - -749. What is the second derivative of 68*b + 24*b**4 - 41*b**4 + 43*b + b**2 - p*b**4 wrt b?\nAnswer: -1344*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 35*s - 45 = 0. Let w be -1 + 3 - (-15 - (s + 0)). Solve -4*y - 14 = -w*n + y, -2*y = 5*n + 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6002188?\nAnswer: 2, 29, 59, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26675*o + 26673*o - 80023*o + 26675*o - 196*o**2 + 209*o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(55) + (sqrt(275)\/sqrt(5) - sqrt(55)))\/sqrt(5) + sqrt(11))**2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2. Let g be (-1 + 1\/(-2))*16\/(-6). Let z(o) = -3*o. Let h(r) = -r. Let k(l) = g*h(l) - 2*z(l). Give q(k(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -l + 9*l - n + 95, -n - 1 = 0 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103458289*j*q + 1199961*j - 68 wrt q.\nAnswer: 103458289*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 5*q. Let v = -5 - q. Let z = 0 - v. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*j + 66*j - 127*j - 289 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 55. Let m(g) = -3*g**2. Give m(s(t)).\nAnswer: -3*t**2 + 330*t - 9075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2347.536 - 104.25\nAnswer: -2451.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsrwsvdccccvvvdccdw. What is prob of picking 1 d and 1 v?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xexxxxxxxeexxx. What is prob of sequence exxx?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*o = -457*o - 496650. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/2)*p*p**(8\/11)*p**8\/p**(6\/13))**(3\/7) assuming p is positive.\nAnswer: p**(7521\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuhh when four letters picked without replacement from uhhuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/137 + 1224\/3425. Let u(i) be the first derivative of 0*i + 2*i**3 + 35 + n*i**5 - 9\/5*i**2 - 7\/10*i**4. Factor u(s).\nAnswer: 2*s*(s - 3)**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*t + 13940, 0 = t + 24 - 20. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44869, 1, 10, 0.5, -2, -2\/5 in decreasing order.\nAnswer: 10, 1, 0.5, -2\/5, -2, -44869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - 96\/(-9). Let d(s) = -2 - s + 3*s**2 + 2*s**2 - 3*s**2 + 3. Let y be d(-3). Calculate the greatest common divisor of i and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 5:28 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 3}. What is prob of sequence ppn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2563 (base 8) to base 7\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtttwwwwtwtww. Give prob of sequence tw.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552418928 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let q be (412\/204 + n)*6. Which is the smallest value? (a) 2 (b) q (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 2\/41613 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1200*w. Let b(r) = -3246*r. Give u(b(a)).\nAnswer: 3895200*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 8:46 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6010 + 165?\nAnswer: 6205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 56 = -4*g, 0 = -5*c + 6*g - 2*g + 128. Solve -9 = -5*i - c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(2736) + 5 + (-3 + sqrt(1900) + 4)**2).\nAnswer: -11436 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/8 - 255*p\/8.\nAnswer: -3*p*(p + 85)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 56 = 9*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-12) + 17\/(1836\/(-768))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 + (-6 - 24) + -64?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htptthh. Give prob of sequence th.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41885, -83705, -125525, -167345, -209165?\nAnswer: -250985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -185\/232803?\nAnswer: -185\/232803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12430.04 - 12277.0247. Let c = 153 - l. What is c rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1514*p**6 + 2 - 689*p**6 - 33528*p**2 + 33392*p**2 wrt p?\nAnswer: -264360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 67*l**6\/20 + 119*l**5\/15 - 56*l**2 + 3. What is the third derivative of y(b) wrt b?\nAnswer: 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -6, -11\/57?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 4. Suppose -54*i - x = -53*i - 13, 5*x = -4*i + 55. Suppose 3*s - 4*s = 0. Sort s, i, n.\nAnswer: n, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/((t**(-8\/13)\/t)\/t)*t)\/t)\/(t*t**(6\/13)))**(10\/3))**(-9\/8) assuming t is positive.\nAnswer: t**(-615\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -88172.4655 minus -0.3?\nAnswer: -88172.1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 21 - 17 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -1074, -1611, -2148, -2685?\nAnswer: -3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 523070*u - 13680111245.\nAnswer: -5*(u - 52307)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -813.81 - 1514.559719\nAnswer: -2328.369719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 divided by -11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*k + 2*i + 14, k + 10 = i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81257 and 7832.\nAnswer: 650056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (155835\/92200)\/(1\/(-4)). Let j = 28\/461 + g. Find the common denominator of 35 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*c - 17. Let o be c\/(-10) - (-1)\/(-2). Sort -5, 2, o in ascending order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 2 r when four letters picked without replacement from {c: 1, d: 1, p: 3, r: 3, x: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 1*(-3)\/(-9). Suppose m = -s + o + 8, s + 1 = -2*o. Solve 4*w - 25 = -3*z, s*z + 10 - 41 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)\/l)**(-3\/20)*l*l*l\/l**(-1\/6)*l*l\/l**(-14\/5) assuming l is positive.\nAnswer: l**(1213\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1876178.499989 + -1876199.5. Let c = x - -21. Round c to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -14, -71?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/324 and 55\/364036.\nAnswer: 29486916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*y + 12. Suppose y = 3*n - 1. Suppose -n*f = -2*f - 75. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 928 - 927.999597. What is i rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15154 - -2980?\nAnswer: 17b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117279 is divided by 724?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9543 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: Calculate the remainder when 52264 is divided by 13060.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3, 1\/2, -20243, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*60\/24?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -41?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 19*x + 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -711219 at least -710678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56000 divided by 8000.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 1, t: 4, s: 1}. What is prob of sequence sit?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3*1044\/8. Suppose -y - y - 3*i = -96, -3*y + 3*i = -l. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(17\/8211). Let v = n - -308. Is v a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(48)\/sqrt(6)) + sqrt(13)*4 + 5.\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/3*(-9)\/(-18) + -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6297978722156 and 24.\nAnswer: 6297978722180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7322 divided by -137\nAnswer: 7322\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1. Let h be j(-4). Let s(c) = -h*c - 23*c**2 + c - 5 + 24*c**2. What is s(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 9*p**3 - 2*p**4 + 2*p + 3*p - 10*p**3 + 3*p**2 + 1 to the form x*p**2 + y*p**4 + g*p**3 + m*p + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167 + 10. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = 84*a - 22*a. Let p(h) = -h**3 - 5*h**2 - 8*h - 12. Let l(i) = -i. Let c(t) = l(t) + p(t). Is c(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 9. Let d be s(-11). Suppose 0 = d*f + r - 19, -r - 5 = -0*r. What is the remainder when 46 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190 + (-276858)\/(-1458) + (-1 - 344\/(-342))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -13.7. Let v = -9 - i. Let w be 0\/46*(-1)\/2. What is the closest to -1 in v, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j + 177 = 3*n, -4*j = 2*n - 142. Suppose 69*p + 12 = n*p. Let z(c) = 5*c**2 + c. Let m(f) = f**2 + f. Give p*m(a) + z(a).\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -916, -1301, -1630, -1897, -2096, -2221, -2266?\nAnswer: -2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8682?\nAnswer: 2, 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/18)\/(-4)*(3 + 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/7)*q*(q*q*q**(9\/4))\/q*q*(q*(q**1\/q)\/q*q)\/q*q*q*q*((q\/(((q*q**(-2\/21))\/q)\/q))\/q)\/q)\/((q**(-1\/4))**(-32)\/(q**8\/q*q**2)) assuming q is positive.\nAnswer: q**(845\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 37366*u\/5 - 336456\/5.\nAnswer: 2*(u - 9)*(u + 18692)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9203.009 micrometers?\nAnswer: 9.203009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -36. Suppose 0 = 20*m - w*m + 55. Let c = 3 + 1. What is the biggest value in c, -16, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-60))\/((-25)\/300)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632839 (base 11) to base 16.\nAnswer: f788d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 6. Suppose -2*f = 5*o - 3, 4*f + 6*o - 11 = o. Let i be g(f). Suppose 0 = -i*l - 9 + 29. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1197 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*m*n*p**3 - 10*i*m*n + 213078*i*n**2*p**3 + 2*i*n*p + 4*m*n**2*p + m*n*p**2 - 23*n**2*p**2 - 2*n**2*p wrt p?\nAnswer: 12*i*m*n + 1278468*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -36. Suppose 0 = -3*j - 3*c - 15, 3*c = 5*j + x + 5. Which is smaller: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34617 is divided by 161.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -144, -11, -2 in decreasing order.\nAnswer: -2, -5, -11, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = 3*o. Let h(w) be the second derivative of 7\/36*w**4 + 0*w**2 + 0 + 1\/9*w**3 + o*w. Factor h(z).\nAnswer: z*(7*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -10*s + 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 28. Let s(p) = -10*p**2. Give b(s(i)).\nAnswer: 20*i**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*h + 40, -4*q + 18 = 3*h - 11. Suppose 3*c - 53 + q = 0. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by 11.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*j - 3*j = 10, -5*t + 3*j = -10. Calculate the lowest common multiple of (t + -2)\/((-6)\/(-6)) + 64 and 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1270396 + 1275946 = -150*z for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82442136 and 134514.\nAnswer: 741979224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4145, 16743, 37739, 67133, 104925?\nAnswer: 151115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 66*l**2 + 22*l - 3. Let o(t) = 265*t**2 + 99*t - 13. What is -6*o(b) + 26*p(b)?\nAnswer: 126*b**2 - 22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 571969136 to the power of 1\/2, to the nearest integer?\nAnswer: 23916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + g)*(2*g + 2*g - 6*g) - 5*g**2 - 2 + g**2 + 5*g**2.\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4. Let v(k) = -k + 3. Let n(b) = 3*r(b) + 4*v(b). Let j = -4 - -6. Let o(t) = -1 + t**j + 1. What is o(n(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18941, 75746, 170415, 302942, 473321, 681546, 927611?\nAnswer: 1211510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/65 and -103\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)\/(b**(-9)\/b)*b\/((b\/(b**9\/b*b*b))\/b)*b**8)\/(b**(-1)*b*b**(2\/29))**(-4\/11) assuming b is positive.\nAnswer: b**(6388\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 22*v**2 - 1274*v + 53. What is o(58)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.77 + -0.8. Let t = 0.08 + b. What is t rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h. Suppose 0 = 3*w - 3*a - 9, 2*a = 4*a + 2. Let q(j) = -4*j + j - j**w + 3*j. Give o(q(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 11. Suppose 2*w - 1383 = -l, 4*l - 8 = 4. Let p be w\/78 - 4\/(-26). Let g be o(p). Sort -1, g, -4 in descending order.\nAnswer: -1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a - 42. Let u = 333 - 337. What is the lowest common multiple of h(u) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6.7. Let y = -1.4 - -0.4. Let q = l + y. Which is the third smallest value? (a) -5 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 92\/10 + -4. Let m(a) be the first derivative of 1 + 0*a - z*a**2 - 1\/25*a**5 + 1\/10*a**4 + 1\/15*a**3. Factor m(c).\nAnswer: -c*(c - 2)*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/413 - 61\/4543. What is the nearest to -1 in 0.6, s, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from {s: 4, l: 2, m: 1, x: 8, e: 3, c: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 29267194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 55989659\nAnswer: 4\/55989659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 1*sqrt(72)*-5 + -3 + (sqrt(72) - (sqrt(72) - (-4 + (sqrt(72) - (2 + sqrt(72)))))))**2.\nAnswer: 840*sqrt(2) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 164\/8*(-8)\/(-2). Let y = -78 + v. Solve 0 = y*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2437*i**2 + 207145*i - 12. Calculate t(-85).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + p**2 - 7*p - 2. Let h = -39 + 25. Let x = h + 19. Is l(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 - 44*i - 4 - 52*i + 8.\nAnswer: -96*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 160*j**2 - 47*j**2 - 50*j**2 + (-j + 3*j - 3*j)*(-j + 4*j + 0*j) + 4 - 4 + 19*j**2.\nAnswer: 79*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10851 - -261. What is the hundreds digit of 2\/(-2 + 1)*f\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2 + 2)*(2*h**3 + 2*h - 2*h) - h**4 - 4*h**4 + 2*h**4 + (40*h + 16*h**4 - 40*h)*(3 - 4 + 0).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16 and 8.58.\nAnswer: 8.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -6*l + 3*l - 14, -2*l + 4*m + 24 = 0. Let o = -79 - -114. Suppose 6*k = 4*r + l*k, -4*k = 3*r - o. What is the closest to 0 in 3\/4, -3, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107700 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164978 is divided by 3658?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 286451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 12) to base 15.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 a when four letters picked without replacement from {a: 8, c: 8, w: 2}?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -82 in descending order.\nAnswer: 2, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -771\/11 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -40. Which is the third smallest value? (a) 1 (b) 1\/4 (c) -2\/15 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44604980?\nAnswer: 2, 5, 7, 37, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -24001?\nAnswer: 23440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*c - a - 25, a + 7 = c. Let f(l) = 167*l**2 + 0*l - 35*l**2 + 0*l - l + 17. Let z be f(c). Round z to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -12\/5, 4, 75.3, -4\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-8 - (1 + -7) - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 474*k - 1894. What is y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.661 * -5.\nAnswer: 8.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, -2, 1\/4, 2, 0.78, -0.2, 2\/29?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 + 3*g**3 + 0*g**3 - 13*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2153294343 to the nearest integer?\nAnswer: 46404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**5\/60 - 4*p**3\/3 - 1. Let s(q) be the third derivative of l(q). Let m(a) = -2*a**2. Determine m(s(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1296\/(-405))\/(-2 - -2 - (-2)\/(-5)) and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**3 + 9. Let q be 55\/25 - (-1)\/(-5). Suppose -5*s - 8 = q. Let l(o) = o**3 + 1. Calculate s*c(u) + 18*l(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 368141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089161137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 - 6*r + 6*r)*((17 + 33 - 9)*(6 - 5 - 4) + 0 - 4 + 5 - 1 - 2 + 0).\nAnswer: 500*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327\/7 - (-4)\/14 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 3*k - 60. Let p be g(0). Let n = 70 + p. Calculate the lowest common multiple of n and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 0.2 (c) -0.5 (d) 0.0536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-9\/4)*u)\/u)\/u*u**(13\/5))\/(u**27*u*u*u**(1\/11)*u) assuming u is positive.\nAnswer: u**(-6543\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 9:11 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4201138 to the nearest integer?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*m = -125*m - 12, m - 19695 = -2*a. List the prime factors of a.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 849771 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 18 + 17. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 6*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 61. What is the closest to 1 in 4, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f - 221 = 79 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8606 is divided by 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -364248377, -364248375, -364248373, -364248371?\n\"Answer: 2*l - 364248379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.2 + -26. Let w = 0.8 + n. Sort -2\/13, w, -1 in descending order.\nAnswer: w, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35940*j**3 - 49357.\nAnswer: -107820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 + 7 = 0. Suppose -2*v - 7 = -3. Let l = -9 - -9. What is the nearest to 1 in b, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*f*k**2*q**2 - 20*b**3*f*k*q**3 - 2*b**3*f*k*q + 3*b**3*q - 2*b*f*k*q**3 + 244*f*k**2*q**3 wrt k.\nAnswer: 4*b**3*f*q**2 + 488*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3090 + 3090 + 39*y**3.\nAnswer: 39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27836533 to the power of 1\/2, to the nearest integer?\nAnswer: 5276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/780*-12)\/((-1)\/(-35))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/477300 and 173\/2580.\nAnswer: 477300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by ((-116)\/(-12) - -2)\/((-10)\/(-30)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-4 - (-6 + 2)). Let w = -4 + a. Suppose -4*c - 3*f = -w*f - 16, 3*f = -12. Solve 5*z + 3*n - 28 = 0, -n + 16 = 4*z - c*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**4 - 6*j**3 + 3*j + 77. Let h(n) = -35*n**4 + 36*n**3 - 18*n - 462. Let q(b) = -13*a(b) - 2*h(b). Find the second derivative of q(k) wrt k.\nAnswer: -96*k**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnnnnntnntnnnnnnnnt. Give prob of sequence nnn.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 37.3. What is the second biggest value in 4, 2\/7, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 607*a**2 + 4256*a + 55. Determine v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 12*m - 2. Let z be s(-12). What is the units digit of (46\/(-3))\/(z\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 4)*(-3 - 4 + 5) + 3 - 1 + 1)*(m - 3*m + m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335*t + 7260 = -1005*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11690048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and 2686611.\nAnswer: -142390383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 2. Let h be r(-3). Let f = -22 - h. Differentiate 5 - 11*u - f - 9*u + 25*u with respect to u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Suppose 0 = -0*r - 5*r + 10. Let y be (0 - (-1 + 3))*r. Calculate o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*j - 9 + 17 = 0, -2*m - 4*j + 24 = 0. Which is the nearest to m? (a) -2 (b) 1\/2 (c) -1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:20 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 56. Suppose -118*i = -113*i - b. Calculate the remainder when 81 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16*p**4 + 5*p**3 + 11*p + 5. Let o(h) = h**4 - h**3 - h - 1. Let k(l) = 5*o(l) + r(l). Find the second derivative of k(y) wrt y.\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193272 = 4*r + 3*b, -3*b = -5*r + 115881 + 125763. What is the ten thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 392544.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 2*o**2 - 127*o + 127*o + 6*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 54a28 (base 16) to base 10\nAnswer: 346664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*a - 2*t = 253*a + 5, -3*a - 2*t = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59932 is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311 - 327. Let j be 1*(-2)\/2*-13. What is the units digit of ((-117)\/j)\/(6\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 577 = -2*u + 131, -2*u + j = -708. Let l = u + -224. What is the remainder when l is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 3*a - 16, -10*r - 5*a + 30 = -6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/5)*g*g\/(g**(-5\/3)\/g) assuming g is positive.\nAnswer: g**(79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*z = -4541752 + 4540348 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4608 and -71\/512.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, and 1 n when three letters picked without replacement from zlqngrn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 + 3*p - 4 + 3. Is 9 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 9*u = 39. Calculate the remainder when u is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 9faffe?\nAnswer: -9fb005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:49 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2524 + -1491. Suppose 3*x = 2*i - g, -533 - 524 = -2*i - 5*x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -3090?\nAnswer: -308a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 1:18 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/14224 and -107\/112.\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4186667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -38, -118, -270, -518?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - b = 55, 15516 - 3437 = d - 13*b - 268*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*l + 66, 0*k + 5*k - 4*l = 102. Suppose -k*i = -4*i + 84. Let m(a) = -a - 1. Let c(o) = 3*o**2 + 6*o + 10. What is i*m(u) - c(u)?\nAnswer: -3*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -249, -371, -503, -651, -821, -1019, -1251?\n\"Answer: -t**3 + t**2 - 118*t - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 2. Let z = 0 + o. Let y = -0.25 + 1.25. Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -302*r*w + 24*w - 3 with respect to r.\nAnswer: -302*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(468)*-2)**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*v**3 - 2*v**3 - 44*v**3 + (-5*v**2 - 4*v + 4*v)*(-v - 3*v + 3*v) - 2*v**3 + 2*v**3 + v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -30. Let l(r) = -49*r**2 + o*r**2 - 49*r**2. Let j(a) = -19*a. Calculate j(l(w)).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 31\/(-105) + (-28)\/210. What is the fourth biggest value in -0.4, 2, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66900329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5648 = -2*k + 888. Suppose 0 = -w - 3*x + 647, -13*w - k = -18*w - 4*x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 46, 76, 106, 136?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (0 - -7 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/15 - 11*i**4\/24 + 2*i**3 - 44*i**2. What is the units digit of s(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**5\/20 + 3*l**4\/4 - l**3\/2 - 2*l**2 - 3*l. Let s = -4 + -3. Is j(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.9 + -39.899671. Round f to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-40))\/((-129)\/2). Let w = 4513\/860 + o. Calculate the common denominator of (2434\/168 - (-60)\/(-105)) + -2 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17666926 divided by -17666926.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 288 + -2?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, w: 5, v: 1, r: 7}. What is prob of picking 1 s and 1 w?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35.581 * -5713\nAnswer: -203274.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*u - 144 = -398*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 7*v. What is c(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2*r + 2*r)*(-r**3 - 2*r**3 + 4*r**3 + (0*r + 0*r + 3*r**3)*(6 + 2 - 7)) to o + y*r**4 + q*r**2 + k*r + i*r**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from sus?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3. Let d(a) = a + 1. Let h be d(-4). Let v(n) = -4*n**3 - n. Let l(p) = h*v(p) - 7*i(p). What is the second derivative of l(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 115.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from nnnnnnnbnbnnnb.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -282*p**3 - 5*p - 5. Let v(r) = 18612*r**3 + 329*r + 329. What is 329*k(c) + 5*v(c)?\nAnswer: 282*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/7 + 3471994*k**2\/7 - 8928054*k + 281234430\/7 = 0. What is k?\nAnswer: -1736015, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1079327 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.287 tonnes in milligrams?\nAnswer: 866287000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = -66. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130537, 130531, 130525, 130519?\nAnswer: 130513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.40151*0.0037\nAnswer: 0.001485587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1270730 and 50?\nAnswer: 6353650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose -5*k + c = -k - 58, a = 5*k + 3*c - 64. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*((l\/l**(-2\/5))\/l)\/l*l)**(-8))**(-37\/5) assuming l is positive.\nAnswer: l**(3552\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 730143499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-27))\/((12\/18)\/(6\/(-3))). Sort h, 17, 2, 5 in decreasing order.\nAnswer: 17, 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwb when three letters picked without replacement from bwwwddw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, 9, 223, 2, -2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 4*o + o - 13*o + 23 + 10*o + 6*o + (-4 + 6 + 0)*(2*o - 1 + 1) - 5*o + 2*o + 0*o as m + q*o and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -1522?\nAnswer: -1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4929 + -24646\/5. Which is the closest to -4? (a) k (b) 13\/6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2. Let k(h) = -26 - 28 + 54 + 4*h. Calculate j(k(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 + 2 - 4*n**2 + 7*n - 9*n. Let y be o(1). What is the nearest to -1 in y, 1\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/143820 and -35\/918.\nAnswer: 431460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = -3*f + 9, -12 = 2*g - 4*f. Sort 3, -2, g, 640 in ascending order.\nAnswer: -2, g, 3, 640","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 276 + -270 + -11 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14. Suppose 0 = c - 3*m + 10, -z*m - 2*m = 5*c - 7. Is (-3 - c)*(-1341)\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*s - 3*s. Suppose 0 = -s*x + 10*x - 2. What is the second derivative of 26*m - 9*m**x - 2*m**2 - 15*m + 2*m**2 wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25875 - -37226. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3959 or 19\/2?\nAnswer: -3\/3959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 6*b**2 - 8*b + 4. What is s(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2066128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73323684546 from -0.3.\nAnswer: -73323684546.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 5*l + 53 = 383 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 24\/89 (c) 0.1 (d) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 18 = -5*v - 5*n + 12, 7*n - 27*n + 120 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 10*k**2 - 8*k + 9. Let o be u(-9). Let t be (6 - o)\/(1\/(-7)). Let p = t + 376\/9. What is the closest to -4 in p, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 31 + 43 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/13)*p)\/(p\/((p**(-31)\/p)\/p))*p**(4\/33)\/(p**(-15\/4)*p) assuming p is positive.\nAnswer: p**(-52229\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/107 or -4?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7531699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31533*d*l**3*o**2 + 373*d - l**4*o - 76*l**2*o**2 - l**2 wrt l.\nAnswer: -189198*d*o**2 - 24*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:40 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/18*18\/8. Let p(f) = -t + 3 + f**2 + 2*f**2. Let z(s) = -6*s**2. Calculate p(z(b)).\nAnswer: 108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-3 + 3)) + -61. Let p be w\/(-12) - 2\/(-3). What is the third derivative of m**4 - p*m**2 - 3*m**4 + 7*m**2 + m**4 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*h, -3*m = -4*m - 2. Suppose -2*g + g + 26 = -3*u, -3*u - 40 = -h*g. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 - 4*s - 5. Let x be b(4). Let i = -8 + x. Let m = 14 + i. Put m, -3, 3 in descending order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -c - 3*z, 4*z = -4*c + z + 569. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-16)*1*2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 575871019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 610.0972 days?\nAnswer: 52712398080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4482*z**4 - 21*z - 2053. Let g(d) = -6723*d**4 + 33*d + 3075. Let h(c) = 7*g(c) + 11*o(c). Find the first derivative of h(m) wrt m.\nAnswer: 8964*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57360*b*q**3*t*y + 909*b*q**3*y + 2*b*q*t*y + 8*b - 5*q**3*y wrt t?\nAnswer: 57360*b*q**3*y + 2*b*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 13, -1\/3, 1\/5, -1848\/19?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27045152489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.104 times 2653\nAnswer: -275.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 46, 113, 208, 331, 482, 661?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 8:57 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/9 (b) -49\/13 (c) -0.1 (d) -2\/7 (e) 0 (f) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.149 (b) 0.1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from {d: 3, q: 5, k: 1, x: 1, j: 4}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 22. Let x(h) = 13831*h. Determine b(x(s)).\nAnswer: 191296561*s**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 22 - 10) + (0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7450*b - 1577?\nAnswer: -7450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -89*x**2 + 857*x + 337. What is f(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/30 - (-206)\/30. Solve -2 - o = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 3*b**2 + 5*b + 7. What is the tens digit of o(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (4\/(-8) - (12 - 1)). Let c = u - -61\/6. What is the smallest value in 29, c, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -78) + -102 + 29\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {h: 1, j: 1, w: 1, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -7. Let v = 554 - 3882\/7. Let p be (-1)\/(2*(1 - 0)). Which is the biggest value? (a) n (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 19 - 45 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344890974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2. Let o be -4 - 1 - (-9 - 2). Let l(q) = -393 + 393 + o*q**2. Determine l(g(v)).\nAnswer: 96*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00224 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/6 (b) -1\/7 (c) 20214 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suuuuuuuuuussuu. What is prob of picking 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a = 12 + 138 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -30\/11 (b) 0.3 (c) 47\/6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**3 + 3*l**2 - 3*l + 2. Suppose 616*w = 2*x + 615*w + 4, 4 = 4*x - 4*w. Let p(h) = 12*h**3 - 5*h**2 + 5*h - 3. Determine x*q(j) - 3*p(j).\nAnswer: -6*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -175, 3.\nAnswer: -175, -81, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7174, 7211, 7272, 7369, 7514, 7719?\n\"Answer: 2*y**3 + 23*y + 7149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 + 52*b**2 - 637*b\/3 + 160.\nAnswer: (b - 3)*(b - 1)*(b + 160)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0.235, -0.21, -0.3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6966876 divided by -14.\nAnswer: -497634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5991253 centimeters in meters?\nAnswer: 0.005991253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07887 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -637*k - 12. Let d be t(-3). Let f = d + -1194. List the prime factors of f.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(9\/6 + 2\/(-4)). Solve -2*r = -j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.2. Let a = -61 + 34. Let c = -23 - a. What is the nearest to 1 in u, 4\/9, c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -52.4. What is the nearest to 0 in 1, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-1212361*m**2 - 1155*m**4 + 1212361*m**2).\nAnswer: 2310*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 82*h - 1893. Is 22 a factor of x(-64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiaikiiabia. Give prob of picking 1 b and 2 i.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 12*f - 14. Let c be l(10). Suppose 5*h + 2*s - s - 331 = 0, 5*s - 71 = -h. Calculate the greatest common divisor of h and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skxuxxsusaaxsk. What is prob of picking 1 k, 2 x, and 1 a?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 14570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65771.\nAnswer: 89, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2016.33 - -2026. Let f = g - -2.03. Let x = -10.7 + f. Which is the third biggest value? (a) 1\/5 (b) x (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -30. Factor 39*b**4 + 8*b - 4*b**5 - 43*b**4 - 12*b**3 + 20*b**2 + q*b**3.\nAnswer: -4*b*(b - 2)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 35 - 167 - 4 + 12*h - 15*h.\nAnswer: -3*h - 331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 2\/9*n**3 + 0 + 4\/9*n**4 + 0*n**2 - 2\/9*n**5.\nAnswer: -2*n**3*(n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*w**2 + 4*w**2 - 25*w**2)*(-37 - 25*w + 37) in the form s*w**2 + a*w**3 + j + v*w and give a.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -224*m - 1. Let i be k(-3). Suppose 5*g - 19 = -4*j - i, 4*g + 3*j + 522 = 0. Is (-24)\/g + (-22581)\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*l - 16 = -1, 5*y - 2*l - 20 = 0. Suppose 3*u = 1087 - 121. Let x be u\/6 + (-2)\/(-6). What is the highest common divisor of y and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {v: 1, q: 1, a: 1, e: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/16, 92, 3\/7, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -601498 and 0.1?\nAnswer: 601498.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o - 2. Let b(d) = d**3 - 12*d**2 - 2*d + 24. Let n be b(12). Suppose 2*y - 3*y - 2 = 0. Let r = n + y. Determine s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*t + 3479 = 76*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.46? (a) 0.08 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -233 - -8b?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {b: 1, f: 2, w: 1, z: 9, p: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 - o**4 + 3*o**4 + (2*o**3 - o**2 + o**2)*(-3*o + 4*o - 3*o) + 9*o**4 - 2*o**4 + 0*o**4.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 8*h - 17. Let f(i) = i**2 + 7*i + 16. What is -6*f(v) - 5*n(v)?\nAnswer: -v**2 - 2*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61693947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 8 = 12*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/13605732 and -83\/47992?\nAnswer: 27211464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (750\/(-9)*57)\/(1\/160). What is n rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211121 - -2020111000?\nAnswer: 2022022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = q + 3*b - 49, 4*q = 5*b + 170. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343532312 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*y + 8*y. Suppose -4*r - y - 3 = 0. Sort 3, r, 2\/3.\nAnswer: r, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*g + 4*g - 17*g + 79. Suppose -1 = -i + 1. Suppose -i*c + 3*k + 45 = 3*c, -2*k = 2*c - 2. Sort g, c, 0 in decreasing order.\nAnswer: c, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 16*a + 14*a - 2.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 2*t + t + 3*t - 2*t - 521.\nAnswer: -t - 521","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 123*b**3 - 130*b**3 - 2*b + 7*b**2 to q*b + w*b**3 + l + d*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.98 + -0.02. Let v = -119.94 + 121. Let f = 0.06 - v. Which is the nearest to f? (a) q (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 4. Suppose 3*y + 7 - 16 = 0. Let o(q) = -2*q - 3. Let k(z) = y*u(z) + 4*o(z). Let j(w) = 7*w**2. Give k(j(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3848 and 7139002?\nAnswer: 28556008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) -10 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - u - 4. Let c be h(2). Let i be 1*8\/12*c. Suppose 0 = -i*r - 0*d + 4*d + 84, 16 = -4*d. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 12 = 0, 3*f + 2*j - 1299 = 9. Calculate the greatest common divisor of 73 and f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**8\/2240 + i**5\/120 - i**4\/6 + 5*i**2. Let y(b) be the second derivative of o(b). What is the derivative of y(v) wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 2, -1, -10, 4 in decreasing order.\nAnswer: 4, 2, -1, -10, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -12. Solve p - d*p = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-360)\/(-270)*(-36909)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -4\/7 (c) -0.02 (d) -4\/43 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15671030753.9999163 + 15671032309. Let d = -1555 + q. Round d to 6 decimal places.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*f + 2. Suppose 5*g - 27 = -f. Solve 1 = m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 1 - 1)*(469*s - 685*s + 541*s + (-2*s + 0*s + 0*s)*(1 - 1 - 2) + (-2 + 2 - 2)*(-3 + 2*s + 3)).\nAnswer: -975*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -18. Suppose -n + x = -14. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i - 71*i - 7 + 40*i.\nAnswer: 9*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 21*c + 8. Let h(x) = -2*x**2 + 7*x + 3. What is 8*h(r) - 3*i(r)?\nAnswer: 2*r**2 - 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322592855 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100190 by -10019.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 17664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**7\/2520 - t**6\/180 - t**4\/6 - 26*t. Let h(m) be the third derivative of q(m). What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 30. Let r be y(-19). Let t(z) = -z**3 - 3*z**2 - 3*z - 3. Let q(m) = -4*m**3 - 8*m**2 - 8*m - 8. Give r*t(a) + 3*q(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112, -743, -1894, -3559, -5732, -8407?\n\"Answer: o**3 - 266*o**2 + 160*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -38 - 546\/6\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -20. Which is smaller: -1\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (0 - 6)\/(-2). Let x = 1 + s. Are -2\/7 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(170) + sqrt(170))*-3 + sqrt(170))\/(sqrt(10) + sqrt(200)\/sqrt(5) - sqrt(10) - sqrt(10)).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16739 + -217601\/13. Which is the biggest value? (a) -2 (b) j (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c - 7*c - 17*c + 2*c - 69*c.\nAnswer: -122*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 124. Suppose -v - v = -b. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-1 - -1) + -382 + -5. Let a = -248 - i. Calculate the remainder when a is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 16\/6 + 3\/9. Suppose m - 2*z - q*z = 3, 3*m = 2*z + 9. Solve 0 = -m*g + 12, 0*c = -c - 2*g + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 3 + -1*sqrt(99) - sqrt(99)) + 3 + -5 + 4*(sqrt(99) + 1) + ((sqrt(99) - (sqrt(99) + -1)) + sqrt(99))*-3 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2100 - -2097.871. Let x = -45.971 + 46. Let m = x + p. Round m to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**3 - 204*o**3 + 394 - 394.\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208 + 6*s**2 + 204 - 2*s**2 - 7*s)*(-2*s - 21 + 21).\nAnswer: -8*s**3 + 14*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 11) to base 8.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 407\/(-55))\/(0 + 1 - 4929\/5035).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-1)\/b)\/b)**(2\/13)*(b**(-1\/4))**(-38))**(1\/15) assuming b is positive.\nAnswer: b**(239\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/71418 and -1\/52873126?\nAnswer: 158619378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkqkkkkqqkkkkkkkk?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2761 - -2761.4. Which is the closest to -0.03? (a) q (b) -4 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22011 + 11?\nAnswer: -22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16884*b**5 + 2*b**4 - 32*b**2 + 28*b - 11 wrt b?\nAnswer: -1013040*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 5, 0.5, 3, 338?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388928 or -388769?\nAnswer: -388769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from uzue.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3371743137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61800300 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a - 2*a)*(-10*a + 10*a + 5*a**3)*(-5 + 4 - 4)*(0 + 0 + 2).\nAnswer: 150*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -141.05 < -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -24. What is the smallest common multiple of a and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5054 and 171?\nAnswer: 45486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - (560 - 522)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 + 3726*i**2 + 74556*i\/5 + 74568\/5.\nAnswer: -3*(i - 6214)*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(504)*-1 - sqrt(504))\/(sqrt(512) - (sqrt(512) - (sqrt(512) - (-2*sqrt(512)*-6 + sqrt(512))))).\nAnswer: -sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 817994\nAnswer: 1\/817994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + 7. Suppose -z = -n + 29. Suppose a = -3*y + 11, 2*y - z = 3*a + 19. Solve 5*b - y = -20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o + 1. Let g(v) be the first derivative of v**3\/3 + 5*v**2\/2 - 3*v - 1. Let f be g(-5). What are the prime factors of h(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -24*o + 3175. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(33)\/sqrt(3)*-1)**2*4.\nAnswer: -160 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2175, -5828, -10951, -17538, -25583, -35080, -46023?\nAnswer: -58406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8312825 to 2 dps.\nAnswer: -7.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (25 + 14 + -55).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/2*(-11 - 119\/(-34)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = 4*h - 2, 2*h = -4*x + 12. Suppose -2885*j + 3153*j = 21708. Calculate the greatest common divisor of x and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6309, -6314, -6333, -6372, -6437?\n\"Answer: -x**3 - x**2 + 5*x - 6312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-22)\/33*(-1)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -2. What is the lowest common multiple of ((-45)\/(-12))\/(k\/(-40)) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 8584*l - 85868. Determine f(10).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.83 - -92.07. Let q = -100 + f. Which is smaller: -19 or q?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a century in years?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**2 - 71640. Let k(y) = -21*y**2 + 4*y + 4. Let o(v) = -105*v**2 + 21*v + 21. Let q(d) = 21*k(d) - 4*o(d). What is f(q(a))?\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148328, 148322, 148316, 148310, 148304, 148298?\n\"Answer: -6*q + 148334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j - 12 = 0. Let o be -2 - 25*(j + 2). Suppose -q + o = -4*z + z, 4*q - 78 = -2*z. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3780 and 2016?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w + 2210 = -10*w - 26*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 198694512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -19912122.6?\nAnswer: 39824245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23923885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -172, -171, -176, -193, -228, -287, -376, -501?\n\"Answer: -r**3 + 3*r**2 - r - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5934.\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-56)*21*12\/14*(-224)\/72.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + i**4 + (-4*i**2 + 4*i**2 - 2*i**2)*(-117*i + 117*i + 8*i**2) + 4*i**3 - 4*i**3 + 2*i**4.\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(2 + -3 + 2). Suppose 20 = -c*o, 2*d + 5*o + 28 - 7 = 0. What is the third derivative of -w**2 + w**2 + 0*w**6 - 6*w**d + w**6 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrnruhfzfhzfnnhuu. What is prob of sequence huu?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 671046773 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) 0.8 (c) 12\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 0*u = u - 4*w - 94, 0 = -u - 4*w - 86 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 10 - 2*u + 3*u - u.\nAnswer: u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037844607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 126314564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*(-13)\/546)\/((-4)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -109?\nAnswer: -5\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1129696, -1129721, -1129746?\nAnswer: -1129771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = -3*q, -q - 12 = -4*d - 15. Solve 2*z - b - 13 = -7, 3*z + q*b = 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 15 + 21. Let x = o - -29. What is the remainder when 41 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29125*h**2*n**3 + 3*h*n**3 - 5*h*n - n**3 - 4*n wrt h.\nAnswer: -58250*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 - z - 5. Let s be f(-8). Let x be 55\/60 - (-2 + s). Which is the closest to 1\/4? (a) x (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 380 = -5*u, 5*s + 5*u - 248 = -678. Let f be ((-2)\/(-5))\/((-2)\/s). List the prime factors of -2 + f*(-3)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfy when three letters picked without replacement from lmpmpyf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:22 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -271, -79 in descending order.\nAnswer: 4, -4, -79, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65 - -64)\/(280\/30).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 10. Let n(b) = 55*b**2 + 3*b - 4*b + m - 56*b**2. Calculate n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from zzwzzjwzzzjwwzwwzzz?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-358)\/20 - (8 - (-215)\/(-20))*4) + 6.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -13*b**9\/36 - b**5\/60 + 2*b**4 - 218*b**2. What is the third derivative of o(v) wrt v?\nAnswer: -21840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -966380 divided by -241595.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148.6 + 130. Let m = p + 23. Let g = -4.39933 + m. Round g to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 250346, 74, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + a07ca?\nAnswer: a07cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -2 (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5 - -2\/5. Let k be 68\/(-85)*(-6 + 1). Suppose -11 = -k*g + 9. What is the closest to 1 in q, -4\/3, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81884325.82 rounded to the nearest ten thousand?\nAnswer: -81880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2866 - -2884. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 9*k = -16. Suppose k*h = 20, v + 0*h - 31 = -5*h. Suppose -v*t - 248 = 16. Which is bigger: -42 or t?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/10)\/(1\/5). Let g = 0.020604 + -0.320604. Put j, g, 18 in descending order.\nAnswer: 18, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 4*n**2 + n - 1. Let u be g(4). Solve 2*c = 2, -x + 2*c - u = 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k - 27. Let m be (k\/6)\/(-3)*-2. Suppose -m*i + 59 = 23. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + -12 + (-22 - (-23 + 4))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 1, e: 1}. What is prob of sequence ew?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62969.\nAnswer: 62969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 2 - 2)*(-2*y**2 + 0*y**2 + 3*y**2) - 3*y**4 - y**3 + 172*y - 90*y + 2*y**5 - 86*y.\nAnswer: 4*y**5 - 3*y**4 - y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96706, -96687, -96668?\nAnswer: -96649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/18)*j**(-2\/73))**(4\/5) assuming j is positive.\nAnswer: j**(74\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12*(-200)\/(-525).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 - -0.8?\nAnswer: -261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:43 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1733, 3464, 5195, 6926, 8657?\nAnswer: 10388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**(-3\/29)\/((a\/a**7)\/(a**3*a))*((a*a**5\/a*a)\/(a**(-1\/2)*a))**(1\/4) assuming a is positive.\nAnswer: a**(13147\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + t = -2*c + 23, 0 = -5*c + t + 61. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 13. Let l be c(9). Let f(y) = y - 10. Let r = 39 + -26. Let t be f(r). Solve -l*o + 21 = -q, t*o + o - 40 = -5*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 58*r**2 + 106*r + 337. Let q be l(56). Put -14, -7, q in increasing order.\nAnswer: -14, -7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -39969916.\nAnswer: 559578824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 120631530 + -1867\nAnswer: 120629663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875, 1785, 2699, 3617, 4539, 5465, 6395?\nAnswer: 7329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 1771, -97, 13?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d)*((-5 + 2 + 0)*(-1 + 3 + 0) + 1 + 1 - 1 - 26 + 8 - 5).\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -59, -110, -175, -254?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 135\/54*(-3)\/2. Let f be ((-4)\/(-78))\/(6\/3). Let k = f + -125\/312. Sort 2, k, o in ascending order.\nAnswer: o, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:47 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 273*g**2 + 0 + 0*g + 2\/3*g**4 + 1\/60*g**5 + 3*g**3. What is t(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/96 - (-250)\/(-16)*-126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1676 or 1670?\nAnswer: 1676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16790*f**2*j**3 - 1434*f*j**3 - 2*f*j**2 wrt f?\nAnswer: -33580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -244, -245, -244, -241, -236, -229?\n\"Answer: f**2 - 4*f - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 + -182. Let t be 3\/36*-3 - 3\/x. Find i, given that -1\/8*i - t*i**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3404 - 13615\/4. Which is the closest to -12? (a) 0.14 (b) f (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157845 divided by 255.\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 22*p - 21. Let d be m(21). Let b be (-15 + (18 - 4))*3\/(-1). Factor -9\/4*w**2 + 3\/4*w**4 + 3\/2*w**b + d + 0*w.\nAnswer: 3*w**2*(w - 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/((-2730)\/(-5184850)) + (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -4*g**5\/5 - 3*g**2 - 8. What is the second derivative of d(q) wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - (-2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1477 - -114?\nAnswer: 158b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.3*181.\nAnswer: -2950.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-20) + 1\/(-5). Suppose -2*i - 8 = 0, 2*i + a*i - 4 = -4*y. Is (-9)\/y + 2 + (-588)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -1\/14*w**7 - 1\/12*w**6 + 7*w**2 + 1\/6*w**5 - 5\/336*w**8 + 5\/8*w**4 + 0*w + 0 + 5\/6*w**3. Find t such that b(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34846\/(-7467)*(-5)\/((-455)\/2).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(1*sqrt(65)*2 + 1*sqrt(65)*-1))\/(5*(sqrt(20) + sqrt(20)*1)*-1).\nAnswer: sqrt(13)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(11 + -2 + (-12)\/4). Let h be (4\/(-6))\/(-1*(-2)\/z). Solve 0 = -j - 3*j - h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-379)\/(-4)*-2 + 3. Let k = -5198 + 15071\/3. Let f = t - k. Find the common denominator of f and -95\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = -11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 45*p + 625. Calculate d(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*s. Suppose -5*w + 16 + 9 = 2*g, 20 = 4*w + g. Put s, w, -4 in ascending order.\nAnswer: -4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29147*d**5 + 2*d**4 - 4*d**2 + d + 7926 wrt d.\nAnswer: -582940*d**3 + 24*d**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/180 + 119*j**5\/18 + 1187*j**4\/36 + 593*j**3\/9 - 3301*j**2. Determine g, given that i(g) = 0.\nAnswer: -593, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 29. Are 1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (6 - 2 - (-42 + 39)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 - 5*o**2 + 6*o**2 + 26 + 11*o + o**2. Let d be z(13). Suppose 3*f - 6*f = 3*u - 279, 2*u - 2*f - 182 = d. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.225 - 1.025. What is the closest to 2\/7 in g, 5\/4, -0.5, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2925 divided by -96.\nAnswer: -975\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swcs when four letters picked without replacement from {a: 1, c: 4, w: 1, s: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 768888.4 weeks?\nAnswer: 465023704320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 32044*h**2 + 32053*h + 9 = 0. What is h?\nAnswer: -1, -9\/32044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1360 and -79\/12478?\nAnswer: 499120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 = -8*z + 263 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*s + 2. Suppose -4*v = 5*v - 4*v. Suppose v + 6 = 4*z - j, 4*j - 8 = 0. What is the remainder when s is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 3) + (-162)\/(4 + -7). Suppose 33 = 12*u - y. Calculate the highest common factor of 161 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0558 and -0.5328.\nAnswer: 0.02973024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69401054?\nAnswer: 2, 43, 523, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(2*v + v - v)*(13*v + 20*v - 29*v)*(3 - 8 + 7).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 32 = 18*g. Suppose 0 = -g*c + 4*n + 960, -n = 37*c - 36*c - 230. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2917, -2926, -2949, -2992, -3061, -3162, -3301?\nAnswer: -3484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26021a (base 13) to base 15.\nAnswer: 130d93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6 and ((-27)\/(-252))\/(1\/(-60)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = 18. Let g = p + 9. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/(10\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1785, -3552, -5319, -7086, -8853?\nAnswer: -10620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143 and 7?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7616 or -7611?\nAnswer: -7616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 17. Suppose 3*w = -4*b + 84, -2*b - g + 54 = -w. Is b at most 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -114) + (23 + -25 + 23 - 17 - 8)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -11*p**4\/4 + 13*p**3\/3 - 9*p**2\/2 + 977. Let k(x) = -5*x**3 + 6*x**2 - 4*x. What is -9*k(j) + 4*q(j)?\nAnswer: j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1715)\/70)\/49*(2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9088*r*x - 68226*r wrt x?\nAnswer: -9088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 - 2*v - 19. Let w(n) = 2*n**2 + n + 9. Let o(y) = -3*b(y) - 7*w(y). Give o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**1*i*i)*i*(i\/((i**(3\/7)*i)\/i))\/i*(i**0)**(-1\/33) assuming i is positive.\nAnswer: i**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/(-1110))\/((-23)\/((-1150)\/40)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/5 - 1169*r**2\/5 + 13006*r\/5 + 6136 = 0. What is r?\nAnswer: -1180, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 30*q - 26. What is the remainder when 208 is divided by h(17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16856 and 21172312.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2635*o**5 - 938*o**2?\nAnswer: 158100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22.98781 and 2.\nAnswer: -20.98781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c - 8 + 9*c**2 - 2*c - 2 + 2*c**3 - c**3. Let j be n(-8). Suppose 3*s = 4*b - j, -s = -b + s + 6. Solve -5 = 3*q + b*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(1 + sqrt(605) + sqrt(605)) - (sqrt(605) + 2*sqrt(605)*6)))**2.\nAnswer: 1254*sqrt(5) + 218414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 101, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1234 - 1844. Let p = b - -778. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2288 + 2281. Which is the closest to s? (a) 3 (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/36, 5, 3.\nAnswer: 5\/36, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43b4 (base 16) to base 5.\nAnswer: -1023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - 2. Let p be (-15)\/9 + (-4)\/12. Let f be 1*(p + 7\/3). Which is the closest to r? (a) -0.3 (b) -1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1032 and 127123050?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r + 16*r**2 + r**3 + 7*r**5 + 16*r**4 + 23*r**3 - 3*r**5.\nAnswer: 4*r*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {f: 5, i: 3, h: 8, r: 2, m: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -21496?\nAnswer: 21498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5155 - 31973 = -119*t. What is the remainder when t is divided by (15\/2)\/(3\/42)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5*s**2 + 8*s + 15. Let l(i) = 2*i**2 + 32*i - 6. Let u be l(-16). Let z = 1 - -2. What is the remainder when z is divided by w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 758*n. Let o(z) = 2944832*z. Let q(t) = -23312*d(t) + 6*o(t). Let v(r) = 2*r**2. Calculate q(v(j)).\nAnswer: -3008*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 170 = -4*y + 2*h, 3*y = -5*h + 142. Suppose 0 = 8*g - 4*g - y. Let z(f) = 5*f**2 + f + 15. Is z(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -1 - 7. Let n = -26455 - -26454. What is the second biggest value in q, 1\/4, -18, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 935*k - 35?\nAnswer: 935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*-43.\nAnswer: -1849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24831066*j**3 + 4*j**2 + 2192125 wrt j?\nAnswer: -148986396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884885.\nAnswer: 5, 176977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*l + 2 - 6 = 0, 3*v + 12 = -5*l. Let p be ((-13)\/4 + 2)*4. Put v, -1, p in ascending order.\nAnswer: p, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 23*t + 375. Give i(18).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 16*a - 14. Let w be ((-7)\/((-28)\/24))\/((-96)\/(-240)). Calculate y(w).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3573 and 180238.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4475 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: Expand -9*m**4 + 18*m**4 + 0*m**4 + (0*m**3 - m**3 + 3*m**3)*(-2*m + 2*m - 2*m)*(5 + 2 + 1).\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12201668*p - 12201671*p = -t + 13, 27*t - 43 = 4*p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*l - 7*l = 0, 4*j - 30 = 2*l. Suppose 0 = -i - j + 10. Suppose x = -i, -4*x + 2*x + 14 = 4*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 - 40*a**2 + 12*a + 20. Calculate k(4).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34232 + -33753. What is the remainder when a is divided by 472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oohhoooshhhhhshohf. Give prob of picking 3 o and 1 h.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4014 is divided by 2006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -165, -288, -437, -612, -813?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12 - 7 - b**2 + 19 + 3*b**3 wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*n + 10, -3*n = 4*o - 0*o + 5. Let y(d) = 13*d**3 - 12*d**3 + 10*d**3 + 3*d**3 + d**2. Calculate y(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.685 - -0.325. Let w = -13.01 + 13. Let v = d + w. Sort v, -4, 3.\nAnswer: -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 4*p, -4*t + 4*p + 47 = -p. Suppose 5*j - 87 = -4*n, t*n = 4*n - 2*j + 78. What is the greatest common factor of 198 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3794*s**5 - 13*s**4 + 6*s**3 - 2*s**2 + 161550 wrt s?\nAnswer: 227640*s**2 - 312*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50, 219, 670, 1541, 2970?\n\"Answer: 23*m**3 + 3*m**2 - m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, -912, -2779, -5382, -8721, -12796, -17607?\nAnswer: -23154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + sqrt(1500)*-4)\/(sqrt(72)\/sqrt(6)*-4 + sqrt(12)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2220021222220 (base 3) to base 8\nAnswer: 5701757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 5351935 in ascending order.\nAnswer: -4, 3, 5351935","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48373 is divided by 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let c(i) = 80*i - 5. Let w(q) = c(q) + 2*p(q). Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19748 + -113. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11740414 and 1596.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c6b1 (base 14) in base 9?\nAnswer: 247068","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from rrbcmb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Let n be 3\/((u\/82)\/1). Suppose 5*x - 11 = -2*l, -4*l = x - 3*x - n. Solve 0 = 5*r - 2 - l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 6, 3, 0, -1, 1.\nAnswer: -1, 0, 1, 3, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 82 - 58)*(5*y + 13*y + 1 - 43*y).\nAnswer: 2750*y - 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3420 + -673. What is the remainder when a is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(66) - 5*-1*sqrt(66)))\/((sqrt(2592) - (1*sqrt(2592) + sqrt(2592)))\/sqrt(3)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 3*j - 15, 10 = 5*j. Let z(f) = -f - 4. Let y be z(r). What is the units digit of y\/3 - (-3)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 0 - 28\/13*z**3 + 2\/13*z**4 + 0*z**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1 + 2 + 4*k + k**2 + 1. Let n(m) be the third derivative of 1\/8*m**4 + 1\/2*m**3 + 0 + 26*m**2 + 1\/60*m**5 + 0*m. Determine -3*d(y) + 4*n(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4764, 37369, 125860, 298179, 582268?\nAnswer: 1006069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**5\/30 + b**4\/12 + 11*b**3\/6 - 13*b**2 + 15. What is s(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2461339 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5660768?\nAnswer: 2, 176899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 25*x**2. Let s(f) = 126*f. Determine p(s(l)).\nAnswer: 396900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 0*o + 0*o - 2*m = -4*m + 35, 0 = -o + 4*m - 59 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w - 8 = 0. Suppose 0 = 2*f - 3*f + w. Suppose -7*o + 51 = -f*o. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 22, -2\/19, -17?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 3*v**3 + v**3 + 0*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3\/(k\/(k\/k**(2\/23)))*k**(-2)*k**(-1\/9) assuming k is positive.\nAnswer: k**(166\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9349426 a multiple of 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 125*w**2 - 9*w. Let u(i) = -1058*i**2. Give h(u(l)).\nAnswer: 139920500*l**4 + 9522*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 335 = -5*f, 5*g = f + 474 + 404. Let l = 556 + -264. Let w = l - g. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 297 and -70.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**8\/6720 + g**7\/504 + g**6\/120 + g**5\/20 - g**4\/4 + 10*g**2. Let i(v) be the second derivative of d(v). Determine i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 943, 3\/28, 0.4, 3, -0.5?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 9*r**2 + 10*r + 7. Give h(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z + 23. Let p be k(10). Suppose 105 = r + 5*d, p = 4*r + 5*d - 212. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -267, 7231, -5 in increasing order.\nAnswer: -267, -28, -5, 7231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063740301 rounded to three decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 2329372825.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/9076862 and 56\/49922741.\nAnswer: 99845482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -612\/1189 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20794 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 - 133. Which is the closest to -0.3? (a) 6 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325*d**2*m**3 + d**2*m**2*r + 31581*d**2*m + d*m**3*r + 18*d + 33623*m - r wrt d.\nAnswer: -650*m**3 + 2*m**2*r + 63162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 5:41 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(-2*l**4 + 2*l**4 - l**5) + (-l**4 + l**5 + l**4)*(5 - 2 - 1).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*154*1 - 1. Suppose 0 = 5*i - o - 137. Suppose -119 = -6*w + 61. Calculate the remainder when i is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103330013000 + 23?\nAnswer: -1103330012311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -5\/4*w**4 - 17\/3*w**3 - 4*w - 8*w**2 - 105. Determine b, given that r(b) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15 + 1 - (12 + 0 + -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893774421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) - (sqrt(12) + sqrt(72)\/sqrt(6))) + 0.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 6*w - 2. Let n be r(-4). Let p be ((-6)\/4)\/(3\/n). Is 4 a factor of (-25)\/p - 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 184*u - 1.\nAnswer: 184*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33\/4 - -107\/12. Let r = -12767 + 12762. Which is the third smallest value? (a) r (b) -42\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 74, 69, 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34 and 33\/7069144?\nAnswer: 7069144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*h + 1, -109*h - 30 = 6*o - 103*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3732\/1555)\/((-12)\/(-140))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - q**2 + (11 - 11 + 5*q)*(8*q + 2*q - 2*q).\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 4*o. Let m(s) = s**2 - 3*s. Let p(c) = -4*m(c) - 3*n(c). Let x(l) = 11*l. Give x(p(y)).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7054709.\nAnswer: 43, 359, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.6 (b) 0.3 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/55*(-3)\/32*10\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 + 9*j - 40. What is u(7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**4 + 47*u**3 - 41*u**2 - 29*u - 22. Let s(j) = -2*j**4 - 21*j**3 + 21*j**2 + 15*j + 10. Let w(r) = 5*b(r) + 11*s(r). Factor w(n).\nAnswer: -2*n*(n - 5)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 12989*m - 13007*m + 3)*(-m + 3*m - 5*m).\nAnswer: 54*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8248 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 plus 8211.596841752?\nAnswer: 8289.596841752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -23*d**5\/30 - 40*d**2 + 194*d. Let j(x) be the second derivative of x**3\/6 - x. What is z(j(v))?\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from uuuluuubuulullululul.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/o*o*o**(-13)\/o)**(-2\/93)\/(o\/(o**(-3\/2)\/o)*o**11)**20 assuming o is positive.\nAnswer: o**(-80824\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - 2*y - 2. Let o be n(5). Suppose -j - 20 = -4*z + 3*z, -2*j = -3*z + o. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j - 409. Let h(p) = -p + 14. What is c(g) + 6*h(g)?\nAnswer: 6*g - 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {u: 1, g: 5, n: 3, l: 3, r: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + -15 + 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 839754 and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1189)\/(-57) - (-10)\/15. Let y = -1\/38 + g. Calculate the common denominator of y and (-685)\/40 + (2 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s**2. Let f(n) = -4*n + 6. Let p(t) = 3*t - 5. Suppose -4 = -x + 1. Let a(q) = x*f(q) + 6*p(q). Give w(a(d)).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3)*s**9)\/(s**1)**26 assuming s is positive.\nAnswer: s**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 3*r**4\/4 - r**3\/3 - r**2 - 26. Determine m(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125534340*f**4 - 47*f**2 + 1590067?\nAnswer: 3012824160*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 30*w - 338. Calculate the lowest common multiple of w and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.73 + -56. Let n = 0.2 + v. Let y = n - -1.07. Which is the third biggest value? (a) y (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82380050, -164760100, -247140150, -329520200, -411900250?\nAnswer: -494280300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143169\/2925 + 228\/4275?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -51.764. Let y = d - -9.736. What is the second biggest value in 0.3, -0.2, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, x: 1, u: 1, l: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 84 - 4*u**3 - 85 + u**3 in the form i + g*u**3 + z*u**2 + a*u and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 1. Let q be x(-2). Suppose v = -q*f + 70, 40 = 7*f - 5*f - 2*v. What is the highest common divisor of f and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 62, 53?\n\"Answer: -9*n + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28535.\nAnswer: 5, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(10\/11)*o**(-3)\/o*o**(-3\/32)*o\/(o\/(o\/(o*o\/o**(2\/15)*o*o)*o)) assuming o is positive.\nAnswer: o**(-26671\/5280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -104.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 3264144.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*c*f**3*r**2 + 336*c*f**2*r**3 - 2*c*f*r + 2*c*r**3 - 5*f**3*r**3 wrt f?\nAnswer: -150*c*r**2 - 30*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/((3\/(-2))\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-12 - (-6 + 10) - -25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1 + 3 + 3*s**3 - 2*s**3. Let o(q) = -2*q**2. Suppose 3*m - 3 = -0*m. Let y be o(m). Give x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.513793 rounded to 0 decimal places?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-33)\/(-11))*2\/2. Suppose -3*l - 9*i + 8*i + 1630 = c, -2*l - i = -1085. What are the prime factors of l?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/60 + n**4\/4 - 2*n**2. Let w be c(6). Suppose -3*j + 19 = -w*j - 5*p, 41 = 5*j + p. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 990\/(-360) - 935\/(-20)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o**2 + 20*o + 192. Let w(i) = -15*i**2 + 22*i + 184. Let y(d) = -5*m(d) + 6*w(d). Solve y(l) = 0 for l.\nAnswer: -2, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878327099?\nAnswer: 13, 67563623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5049.12515 to the nearest 10.\nAnswer: -5050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (-125)\/(-20))*5628. Suppose -7031 = -5*a - 3*w, 0*a + 3*w = -3*a + m. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6067\/3 + 2023. Let j(q) be the first derivative of v*q**3 + 1\/2*q**6 + 0*q**2 + 9\/4*q**4 + 2*q**5 - 12 + 0*q. Factor j(i).\nAnswer: i**2*(i + 1)*(i + 2)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159940 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -40*b + 10*b - 87 - 12*b**2 + 204 - 87. Let w(f) = f - 1. Determine k(t) + 30*w(t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-72)*(-3)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -401, -606, -811?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 557664 (base 10) to base 11\nAnswer: 350a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6186394 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 14. What is the second derivative of -4 + j*t + 4 + 6*t**3 + t**3 wrt t?\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.17 + 2.\nAnswer: -13.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/15 (b) -1\/2 (c) -1\/17 (d) 1\/201 (e) -5\/2 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 10. Let g = r - -65.8. Round g to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1*3) - -85. Let m = v + -32. Let j = m + -215\/4. What is the closest to -0.1 in 0, 5, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(3 - 2\/2). Suppose r*d - 66 = 2*m + 2*m, 0 = -3*d + 15. Let j = m - -14. Solve 5*a + j*a = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810678847?\nAnswer: 11, 17, 29, 149489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -43. Let m be (-15)\/(-2) + (-15)\/p. Suppose 0 = m*u - 3*u - 125. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**3 + 304*v**2 + 18. Let t be w(-38). Solve -3*q - 16*g + t = -19*g, 0 = 3*q + 2*g - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*n + 11*n**3 + 2*n**2 + 191*n as p + z*n + r*n**3 + s*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115619034?\nAnswer: 2, 3, 61, 315899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171270 (base 9) to base 6.\nAnswer: -2134230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -274*s + 5134*s**3 + 554*s - 280*s + 2*s**3 + 1 - 1 + 5*s**3 - 3*s**3 - s**3 + (-2*s - 2*s + 2*s)*(2*s**2 - 2*s + 2*s).\nAnswer: 5133*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356327 is divided by 89.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3423.6 + -3424. Let g = 0 - 3. Which is the second biggest value? (a) g (b) 18\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -43.023. Let q = x - -0.077. Is q greater than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, d: 1, h: 1, p: 1, c: 2}. Give prob of picking 1 m and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = a - 84, -5*a = -7*p + 2*p - 480. Suppose 2*l + l - 33 = 0. Calculate the greatest common factor of a and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4323351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 12:25 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 4, 39, 1, -3 in increasing order.\nAnswer: -61, -3, 1, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnsstnsn. Give prob of picking 2 s.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3 + 18*l - 5*l**5 + 5*l**3 - l**3 wrt l.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*z + 592 - 82 - 83. Solve -5*o + 4*f = 8, -z + 22 = -5*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -48, 0, 0.1, -11 in descending order.\nAnswer: 2\/3, 0.1, 0, -11, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*a = 39, 7684 + 7653 - 15369 = -2*i - 4*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 4. Let l be s(0). Suppose 26 = 3*p - l*a, 0 = -p + 2*p + 3*a. What is the lowest common multiple of 16 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240.3 + 240.2. Let o be (0 + 1)*3\/6. Let v = -4 - -3.5. Which is the nearest to x? (a) o (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1)*(-4)\/(-4). Let a be (6\/(3 - h))\/2. Let w be (-1)\/(a*(-1)\/1). Which is smaller: 3\/5 or w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2346001, 4692087, 7038341, 9384847, 11731689, 14078951?\n\"Answer: 14*a**3 + 2345988*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-606)\/(3 + -6). Suppose 0 = -y - y + o. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7482?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkekkkkkxkkxxx. What is prob of picking 1 e and 2 k?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/5 (c) 16 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-806)\/(-403)*(8\/(-20))\/((-2)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5575 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91938942 to the nearest integer?\nAnswer: 9588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 - 747*-4*7\/42 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*q + 207 = 390*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -61, -66, -73?\n\"Answer: -v**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -59 (b) 2\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 6*v - 10. Suppose -3*z + 5*z + 4*c - 14 = 0, -5*c = 2*z - 14. Let u be g(z). Calculate the highest common divisor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.79098t in micrograms?\nAnswer: 14790980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146959519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 32 = 5*b, 20 = 5*b. Let c(u) = -3*u - 8. Let v(y) = -y - 3. Let s(q) = w*c(q) - 8*v(q). Let r(f) = -f - f + 4*f. Give r(s(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -100*g + 154. Is 7 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, 3\/7, 1\/6, 6, -1\/3, 4 in decreasing order.\nAnswer: 6, 4, 7\/2, 3\/7, 1\/6, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 286323, 575997, 865671?\n\"Answer: 289674*i - 3351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -864*j - j**2 + 368*j - j**2 - 1 + 2*j**2 + 1 + j**2 + 0*j**2 - 2*j**2 + (4*j - 3*j + j)*(3*j + j - 3*j) + 0*j**2 + 0*j**2 + 2*j**2.\nAnswer: 3*j**2 - 496*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6919479, 0.04, 6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 140 (b) 1 (c) -2\/17 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3680.356l?\nAnswer: 3680356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w**2 - 2*w - 2. Let c be p(2). Suppose 2*n = -22 + c. Solve 5*o = i, -3*i - n = -3*o - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193685 is divided by 562.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1)*d)\/d)**36\/(d**3)**(2\/41) assuming d is positive.\nAnswer: d**(-6\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v = -52*v - 10412. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 3. Determine g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5)\/((m*m**(1\/21))\/m))**28)**(-37) assuming m is positive.\nAnswer: m**(-8584\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2328, -4604, -6820, -8982, -11096, -13168, -15204, -17210?\nAnswer: -19192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-42 - (-67 + -21))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-1 - 3) - (-1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 3*d**3 + 1 - 20*d**3.\nAnswer: -22*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 22\/9197 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-1*sqrt(11)) + 0 + (sqrt(19) - sqrt(19)*1) + 1*(2*sqrt(209) - sqrt(209))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:45 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 11) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*6*12\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - (-11 - -1))\/(9 + -11). Which is greater: 118\/65 or f?\nAnswer: 118\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28493 = -4*g + j, 5*j = -5*g - 10661 + 46296. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52197686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86689.04 years?\nAnswer: 1040268.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(1 + -3 + (-2 - -3)). Suppose 2*u + 5*d - 2*d = -124, 0 = v*d. Let o = 68 + u. Solve 2*h - o*h - 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23255 - -23251.1874. What is v rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 98*j - 1814. Let h be v(16). Let p(d) = 3*d**2 - 33*d + 10. Determine p(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*a**3 + 18*a**3 + 4420*a - 63886*a**5 - 4420*a + 18*a**3 + (1 - a - 1)*(-2 + 2 - 2*a**4).\nAnswer: -63884*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0 - 10. Let g(z) = z**2 - 1. Let r be g(l). Solve -r*a - 4 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 132, 131, 130, 129, 128?\n\"Answer: -v + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -900, -2484, -5420, -10158, -17148, -26840, -39684?\nAnswer: -56130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1 + 1 + (sqrt(9)\/sqrt(3) + 5 - sqrt(3)).\nAnswer: sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, e: 8, a: 1, l: 5, w: 2}. Give prob of picking 2 e.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 707\/(-112) - 0 and -41\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/19 + -3\/76. Which is the closest to 5? (a) -2\/3 (b) m (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(288)*-2 + sqrt(288) + 3 + sqrt(288) + sqrt(288) + 1 + (-2*(-1 + sqrt(288)) - sqrt(288))**2.\nAnswer: 36*sqrt(2) + 2600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13 + -402 + 397\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvevevvvv. Give prob of picking 1 e and 3 v.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*h - 766 + 733 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 + q**2)*((3 - 3 - 2)*(-5*q - 3*q + 6*q) + 0*q - 62*q + 5*q)*(1 - 1 - q**2).\nAnswer: 106*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2448.8 - 2111. Let i = 10.2 + y. Let k = 348.167 - i. Round k to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23416 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 68. Suppose -i = 4*i - 55. Calculate the remainder when z is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470620.21149 plus -5717?\nAnswer: -1476337.21149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 + 6*n - 5. Let v be z(-7). Suppose -2*f - 4 = 2*f. Let t be (-4 - f - -3)\/(5 - 2). Solve t*c - c + v = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111186282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.9 - 558.\nAnswer: -531.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/8 + 58013*r**2\/8 + 116029*r\/8 + 58015\/8 = 0.\nAnswer: -1, 58015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2567*x**2 + 26967*x?\nAnswer: 5134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(153))\/sqrt(9) - sqrt(102)\/sqrt(6)*-4)**2 - ((sqrt(68)*1*5)\/(sqrt(8)\/(sqrt(10)\/sqrt(5)) + sqrt(4)))**2.\nAnswer: -357\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3.3 (b) -1 (c) -5 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17) + 5 + -4 + -5*-3*sqrt(17)*1.\nAnswer: 1 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*j = -185*j + 50. Solve 0*c + 0*c - j*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 17 - 31. Suppose -41 = 4*c + b. Let t be 1\/(-4) + (-15)\/c. Is 4\/3 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*y + 4588 = 0, 40*y - 43*y = -5*u + 5762. List the prime factors of u.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15314 and 63674?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 99*w + 47*w as d*w + v and give d.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 180.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 2*n + 3. Let x be q(2). Suppose -3*f + 171 = -x*t, 71 = 3*f + 4*t - 79. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1917513 and 4.3?\nAnswer: 1917508.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/12 - 5*b**3\/6 + 5*b**2\/2 + 2*b - 7. Let c = 40 - 24. Suppose 5*j = 9 + c. What is t(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 4 = 10*w, -20 = -2*k + 3*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 + -39. Suppose -6*g - d = -7*g. Suppose -47 = -4*s + 5*f, -4*s + f = 6*f - g. What is the smallest common multiple of 20 and s?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2982.36 millilitres?\nAnswer: 2.98236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - f + 48 = 0, -5*f - 91 = -3*d - 45. What is the remainder when 91 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {e: 2, h: 2, w: 7}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 11*q = -304. Let m = 106 - q. Suppose -3*r + 4*a + m = 7, -5*a = -4*r + 30. Solve 1 = -r*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/60 + a**4\/6 - 2*a**3\/3 + 2*a**2. Factor s(b).\nAnswer: -(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366 - -366. What is the closest to -6\/7 in -1, m, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*-4)\/(3*sqrt(243)) - ((sqrt(792) + sqrt(22))*-3)\/(sqrt(10)\/(-3*sqrt(5))))*3.\nAnswer: -571*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(-142260)\/168 + 1\/2. Suppose 149*v = 130*v + s. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x - 728 + 366 + 364 - 3*x**2 to the form d*x + o + n*x**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 9, k: 1}. Give prob of picking 1 z and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(425) - sqrt(68)\/(sqrt(8)\/sqrt(2)).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-32))\/((-114)\/152).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from dhpxxdm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.333101 take away -14?\nAnswer: 14.333101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1283*x**2 + 1085*x**2 + 643*x**2 - 444*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 8*a**2 - 7\/12*a**4 + 0*a - 2*a**3 + 0. What is the units digit of q(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 8947?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8179 + 8359 = 4*w + 5*t, 2*w - 5*t - 120 = 0 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 531 + -2?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8)\/((-5)\/(-20)). Suppose -5*q - 185 = -5*v, -5*q = -i*v - 0*q + 103. Suppose -5*p + 2*r = -90, -2*p - 2*r = 5 - v. Solve -p = 5*b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-893*t**3 + 3*t + 910*t**3 + 0*t)*(2*t - 4*t + 3*t + t + t - 3*t + (1 - 5 + 2)*(-2*t + t + 0*t) - 2*t + 0*t + 3*t + 0*t + 3*t - t).\nAnswer: 85*t**4 + 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43258*-10.\nAnswer: -432580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 5, 2\/13, -2\/9, -8, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 3*l**2 - 7*l - 12. Let v be j(-4). Let n = -26 + 26.4. Let s = -0.07 - 2.93. What is the closest to s in n, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*m + 0*m + 282 = 0, 2*m + 4 = 0. Let y = 140 - c. What is the common denominator of 59\/9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bbb (base 14) to base 16.\nAnswer: -911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:31 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31916375\/252 - -126652. Find the common denominator of j and 9\/2072.\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 34*g - 6. Let m(y) = -2*y**2 - 32*y + 6. Let b(o) = -3*m(o) - 4*t(o). Let h be b(20). Solve 0 = -h*l + 28 + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 581, 517, 453, 389?\n\"Answer: -64*y + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - 1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(2\/(-14)*2). Let x be (-1)\/(-2 - k\/9). Let f be 3\/(x\/(-1)) + 1. Put -2, f, 4 in increasing order.\nAnswer: -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 2*d**4 + 9413*d**3 - 9413*d**3 + 5*d**4 - 89*d - 5*d**4 + 3 in the form q*d + k*d**3 + m*d**2 + b*d**4 + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-22) - 336\/(-33). Let f be ((-4)\/d)\/((-1)\/(-5)*1). Let o = 79 + f. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 + 0.162\nAnswer: -1.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*u + 10, -4*f + 2*u - 5*u = 15. Suppose w = -f*w. Suppose w = -6*a + a + 75. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i\/i**(-9\/7)*i)\/i*i\/i**30)\/(i*(i**(4\/11)\/i)\/i)**(-41) assuming i is positive.\nAnswer: i**(-3835\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let m = -16 - -11. What is the closest to -0.1 in k, 0.2, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.193? (a) 0.5 (b) 82 (c) -0.5 (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1725 and 18745.\nAnswer: 281175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58431*g**3 - 58440*g**3 - 18 + 18.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8350922.\nAnswer: 2, 107, 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -269.657811 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-6 + -2 + (5 - (2 + 3)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 - -219. Suppose y = 4*m - 308. Calculate the lowest common multiple of m and 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 7, -3\/7, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from uqwed?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*u + 16*u + 22*u + 17*u in the form z*u + y and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-4))\/(-1))\/((-12)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:25 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 6*u + 3. Let f be a(6). Let w = 615 + -591. What is the highest common divisor of f and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x. Let j(s) be the second derivative of s**4\/4 + 12*s. Give j(l(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -31. Let k be 7 + ((-3)\/(-6))\/(2\/z). Solve k*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9835*-0.6.\nAnswer: 5901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/550 - -1191\/7150. What is the third smallest value in 4, -2\/15, -40, c, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.014 + -0.284. Let h = -0.03 + u. What is the third biggest value in h, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.2*-3.\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50*((-2)\/5 - 0). Let d = y - -23. Suppose 0*v = -d*v - 3, 0 = -3*h - v + 197. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 2. Give m(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 2:06 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42371611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -7*o**6\/120 - 23*o**4\/24 - 3*o**2. Find the second derivative of x(r) wrt r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*z - 150336 + 763802. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2285*i**3 - 435*i**3 - 3*i**2 + 2751*i**3.\nAnswer: 31*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s - 25*s + 18*s + 12*s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19889 - 11?\nAnswer: -1989a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 3*f + 3. Let g be x(0). Sort 4, g, -6, 5.\nAnswer: -6, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4634 times -13?\nAnswer: 45.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1*31\/2. Let r be (-1983)\/(-30) + 8\/(-80). Let g = r + n. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46013039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42017.\nAnswer: 42017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 15*h**2 - 47*h - 42. Let p be d(-4). Let x(j) = 2*j**3 + 61*j**2 + 31*j + 29. What is x(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1197054 - -4148054. What is q rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -73*l**3\/3 + l**2\/2 - 80. Find the second derivative of w(k) wrt k.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1886522 is divided by 235771.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 7*k - 6. Let q be s(5). Let j(m) = -1. Let a(w) = -w. Let d(y) = q*a(y) + j(y). Give d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -19 - 2 + 14*r - 10*r + 3. What is the remainder when q(14) is divided by (14\/3)\/(1\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 5*h + 8. What is m(5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.4 (b) 0 (c) 0.069 (d) 6\/17 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-26 + (-774)\/(-18))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678836 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18508630 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l + 374 - 159 - 216. Let q(c) = 3*c + 48. Determine q(b(r)).\nAnswer: 30*r + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 51503034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-216))\/((-40)\/((-1920)\/88)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -3, -41, 3?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/3)*m*m*m\/(m\/(m*m**5*m)))\/(m\/(m\/(m**(-1\/3)\/m)))**(3\/5) assuming m is positive.\nAnswer: m**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66553 * -0.2533.\nAnswer: -16857.8749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*h = 12, -4*b + 19 - 7 = 2*h. Suppose -2*z - 57 = -5*k, 2*k + k = b*z + 37. What are the prime factors of (k - 2)*(4 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3103, 6192, 9283, 12376, 15471, 18568?\nAnswer: 21667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 169, 1 in decreasing order.\nAnswer: 169, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 417414 and 657.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-10 - (1 - -2 - 7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**3 + 44*n + 0 - 13\/12*n**4 + 0*n**2. Let q(a) = 6*a. Determine q(z(c)).\nAnswer: -78*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 9. Solve r = 5*t - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 + -134?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.5 + -16. What is the third biggest value in z, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -125456, -250924, -376396, -501872, -627352?\n\"Answer: -2*b**2 - 125462*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {g: 3, y: 1, b: 7, m: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sev when three letters picked without replacement from {s: 2, w: 1, b: 1, e: 2, v: 8, c: 3}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -660*0.7\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - -2*(sqrt(13)*1)**2).\nAnswer: sqrt(13) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160 or 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 424631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83987 is divided by 3439.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32132231 (base 4) to base 13\nAnswer: 20cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5298, -5328, -5416, -5592, -5886?\nAnswer: -6328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-70)\/(-20) - 4)\/((-3)\/348)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 + 5092*q**3 - 15*q**2 - 5107*q**3)*(-q + 2 + 0*q - 2*q) + (-q**4 - 2*q**4 + q**4)*(-1 + 0 + 0) + 3*q**4 + q**4 - 2*q**4.\nAnswer: 49*q**4 + 51*q**3 - 54*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, -34 in decreasing order.\nAnswer: 4, -3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 9*p**2 - 9*p + 14. Let s be m(8). Solve 5 + 1 = s*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6294 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4440060)\/(-213297))\/((-6)\/28) - 2\/(-14)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -11 - (1 + -4) - -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.6446nm in millimeters?\nAnswer: 0.0001376446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -10. Suppose d*i + 10 = 21*i. Let x = 867 - 847. Solve 4*f = x, 0 = 5*a - i*a + 3*f - 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 9*s + 689325 = 0. Suppose -11*a = 8896 - s. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -i + 1, -9 = h - 2*i - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 69 + 33. Suppose 425 + 163 = 21*n. Suppose -19*o - n = -408. Calculate the lowest common multiple of l and o.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.06, 3, -5.\nAnswer: -5, 3, 8.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61293944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -14. Let g be 2 + h - 145\/(-40). Let l = -159\/88 + g. Which is the biggest value? (a) l (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x - 5*p + 12, 6 = -2*x + p. Is -2 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7947 or -3\/166339?\nAnswer: 2\/7947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2891.8 - 2889.3446. Round r to 2 decimal places.\nAnswer: 2.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -52*c + 4883. Let k(j) = j. Determine q(k(u)).\nAnswer: -52*u + 4883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = d + 95, 0*d - 76 = -4*l + 2*d. What is the greatest common factor of l and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -10 - (-12 + (3 - -3) - 14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -175106.4?\nAnswer: 175106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**4 - 8422331*g**2 + 252*g + 327231.\nAnswer: -48*g**2 - 16844662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 - i**3\/2 + 333*i**2\/2 + 1405*i\/2 + 1075\/2 = 0 for i.\nAnswer: -5, -1, 43\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 630692 or 630690?\nAnswer: 630692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2582, -5163, -7744, -10325, -12906?\nAnswer: -15487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 6:35 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + (-58 - -47) - (2 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 9. Suppose -4*d = 4*q - 20, 14*q + b*d = 13*q + 3. Calculate the greatest common factor of 66 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25244 (base 6) in base 10?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*d - 142, 2*d + 3225*b - 3214*b - 91 = 0 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 69905*b - 209948. What is t(3)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 8*o + 8*o. Let x(m) = 2*m. Determine x(t(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7157*q - 54 = 3*c + 7159*q, c = q + 32 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 368*u**7\/105 - u**5\/30 - 143*u**3\/3 + 1752*u**2. Find the third derivative of v(a) wrt a.\nAnswer: 17664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*v - 0*v - 1494, -3*t - 4*v - 1494 = 0. Let q = t + 1023. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2. Let m = -47 + 47. Suppose 0 = r - k, k + 15 = 4*r - m*k. Let w(h) = -18*h + 1 + 4 - r. What is w(g(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -719f - -3?\nAnswer: -719c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (2\/5 + 96\/(-40)). Solve 6 = 2*v - 2*t, x*v + 2*t = -0*t + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138147659 divided by 1.\nAnswer: -138147659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 - (-21 + (7 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 11*x + 958. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -626 (base 10) to base 13\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68.561895 + -0.007895. What is w rounded to one dp?\nAnswer: 68.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let c(k) = -k**2 + 24*k + 17. Let y(o) = c(o) - 6*i(o). What are the prime factors of y(12)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2780*k**2 + 2182*k*l**3 - 3469670*l**3 wrt k?\nAnswer: 5560*k + 2182*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -568 by 2.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1086*u + 3115. Is k(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 0.3, 203?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-3) - ((-9918)\/216)\/19. Let z = -13.254 + -0.146. Let x = 14 + z. What is the second biggest value in -3, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -817.151 + 818. Let r = k - 0.848983. Round r to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 3. Let s be v(5). Suppose 0*u = s*u + 4. Is u <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4965 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.5987237?\nAnswer: -0.11974474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -874946?\nAnswer: 57\/437473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2\/5, 15, -6292 in ascending order.\nAnswer: -6292, 2\/5, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from looooolooolll. What is prob of sequence ollo?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - 47) + -40 + 53 + (2 - 12).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17cb75 (base 16) to base 4\nAnswer: 11330231311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 - 524*k**4 + 6724*k**3 - 20020*k**2 = 0?\nAnswer: -143, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 r when four letters picked without replacement from {r: 2, e: 4, l: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280920?\nAnswer: 2, 3, 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**7\/1260 + 11*s**6\/3240 - s**5\/270 + s**4\/12 + s. Let r(y) be the third derivative of x(y). Factor r(b).\nAnswer: -2*(b - 1)*(9*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1151705 and -31\/65.\nAnswer: 14972165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 (base 11) in base 14?\nAnswer: -24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1425) - (-3*sqrt(1425) - sqrt(1425)))*-2)\/(sqrt(363) - (-5*(sqrt(363) + -2*sqrt(363)) - sqrt(363))).\nAnswer: 50*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 155.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 9066*o**2 + 7255584*o - 604409472.\nAnswer: 3*(o - 1464)**2*(o - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 0*z + 2*z = -29*j + 1080, 6*z - 2*j + 80 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/280 and -145\/12?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 15*q + 98. Let f(o) = -o**3 + 6*o**2 + 7*o - 9. What is f(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2653 - 2658. What is the closest to -4 in u, -1\/9, 3\/4, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*k**2 - 22*k**2 + 3*k - 35*k**2 to u + s*k + a*k**2 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2. Let l(d) = 7*d**2 + 6*d - 6. Let t(o) = -6*o**2 - 5*o + 5. Let g be (-28)\/5 + 4\/(-10). Let r(q) = g*t(q) - 5*l(q). Give r(i(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 8 = -5*l. Let k be l\/((1 + -7)\/(-3)). Suppose -4*r + 2*v + 18 = 0, -5*v + 1 - 10 = -k*r. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -95746, -94499, -92412, -89479, -85694, -81051, -75544, -69167?\n\"Answer: w**3 + 414*w**2 - 2*w - 96159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3754*q**2 - 11*q + 14*q + 1 - q.\nAnswer: -3754*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, s: 2, b: 1, j: 4, w: 10}. Give prob of picking 1 k and 3 j.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.497724 hours in minutes?\nAnswer: 269.86344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c + 5. Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12643433 - 1?\nAnswer: 12643432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 2*a - 2. Determine q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:36 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1319216955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -3.9. Let u = 1.341 - 1.441. Which is the closest to u? (a) x (b) 0 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/61034 and 29\/396721.\nAnswer: 793442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 352. Let y(c) = 2*c - 175. Calculate 3*l(u) + 7*y(u).\nAnswer: 2*u - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, -2204, -7896, -16648?\nAnswer: -28460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/7 - 72*r**3\/7 + 326*r**2\/7 - 72*r + 248\/7 = 0.\nAnswer: 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**4 - 4*u**2 - 76*u + 126*u - 3*u**3 + 0*u**3 - 65*u wrt u?\nAnswer: 48*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -760399, -4, -6 in descending order.\nAnswer: -4, -6, -760399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/(6\/2 + (-247)\/65)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 = 15. Let p(y) = y**2 + 1 + 0*y**2 - 8*y**2 + 2*y. Let t(r) = -10*r**2 + 3*r + 1. What is g*p(c) + 5*t(c)?\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 55 + 57 + 389 + 73.\nAnswer: 2*p + 464","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*u**3*z - 51*p**3*u**3 - 9*p**3*u**2*z + p**3*u + 2*p**2*u**2*z + 14*p*u**3*z + 5*p*z + 2*z wrt u?\nAnswer: -12*p**3*z - 306*p**3 + 84*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 19 = -14*x + 13*x, -2*x + 10 = 2*u. Let g(c) be the first derivative of -3 + 96\/5*c**2 + 8\/5*c**3 + 512\/5*c + 1\/20*c**u. Factor g(k).\nAnswer: (k + 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x**2 + 6*x**2 + x**3 - 31*x**2 + 10 + 12*x**2 to l*x**3 + k + a*x**2 + r*x and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1814870.8 + -1814870.95999966. Let i = 0.07 - 0.23. Let g = f - i. What is g rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004284545 to 5 decimal places.\nAnswer: -0.00428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -175?\nAnswer: -11\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/5 - 4896\/(-765). Let a = -4 + 6. Solve -u*j + a*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 - x + 1. What is i(-7)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(6528\/(-1024))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -15 - -5) + -28.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 8*k**2 - 9*k + 2. Let j be a(-9). Let r be (-4)\/10 + 44\/10. Factor -8*z + r - 4*z**2 - j - 2.\nAnswer: -4*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9846701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 7*v**3 - 7*v**3 - v**3 - 7*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.092 - -0.192. What is the biggest value in 8, -2, -5, z?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**(-5)*p)\/(((p**5\/p)\/p*p*p)\/p))\/((p\/(p*(p**(-1\/3)\/p)\/p))\/p)**18 assuming p is positive.\nAnswer: p**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-740)\/105 + -9 + 448\/28?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187213, -374426, -561639, -748852, -936065?\nAnswer: -1123278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (66*(-118)\/1520607)\/(2\/11)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.41 + -2.59. What is the closest to 2\/3 in 3, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r = 33*r - 511 - 94 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 - 11 = 0. Solve -f*x + 13 = -s - x, 13 = 2*s + 5*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 4*p - 36, 4*r + p = -108. Let b be 5\/(-30) - r\/12. Find the first derivative of -3*a**b - a + a + 4 + 0*a**2 wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(125)*1*-1)**2 + 3.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -167, -3, 12, 2, -504, -5 in increasing order.\nAnswer: -504, -167, -5, -3, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 2\/13 (c) 2\/11 (d) 0.1914 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = h - 22, -57 = -5*l - 2*h. Suppose l = 3*i - 53. Let c be -3 + 16\/i + 2. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1753867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 13)*4\/(-6). Let m = r - 3. Let k = 49 + -30. Calculate the remainder when k is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/728 and 85\/234.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y - 7*y - 14*y as c*y + u and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 9*f**2 + 8*f + 11. Calculate the remainder when 19 is divided by m(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 1202 + 481 + 2091)*(0*x + x - 2*x + (2*x + 3*x - 4*x)*(2 - 5 + 1)).\nAnswer: -11250*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = i + 4, -6 = -3*i + 6*i - 3*w. Suppose -6 = -3*n - i. Suppose -6 = -n*h + m, h + 2*h - 5*m = 2. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17872.82nm in meters?\nAnswer: 0.00001787282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8490 (base 11) to base 12\nAnswer: 65bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 191 + -381. Let c = 5891\/31 + h. Let d(j) = -j**3 + 5*j**2 + 7*j - 7. Let o be d(6). Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a. Give j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8547 and 1578423?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2*y**2 - 2*y. Let h be f(-2). Suppose -l = -0*l - h. Suppose l + 1 = 5*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*1)*-5)\/(2*sqrt(441)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(3\/5)*d*d)\/d*d)\/d*d*(d*d**(10\/7))\/d assuming d is positive.\nAnswer: d**(176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29098920 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1761*k - 591*k + 99946 = -260*k - 264*k for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-20)*(-6)\/(-30))\/(111969\/1716).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144444 and 108333.\nAnswer: 433332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -26, -4, -8, 0.4, -0.11 in decreasing order.\nAnswer: 0.4, -0.11, -0.3, -4, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1521, 3006, 4473, 5922, 7353?\n\"Answer: -9*z**2 + 1512*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.6, -4, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 9:27 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3056 is divided by 1018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let f(z) = 1382770*z**2 + z. Give f(i(t)).\nAnswer: 5531080*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(4032)*4)**2 + -3 - (-1 + sqrt(4032) + ((2 + sqrt(4032))**2 - sqrt(4032)) + sqrt(4032)))*-2.\nAnswer: -725688 + 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a - 11. Let b(l) = -7*l + 5. Let u = -76 + 52. Let j = u + 36. Let z(i) = -i - 1. Let o be z(j). Give o*b(v) - 6*d(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/11 + 287288*s\/11 + 10316799368\/11.\nAnswer: 2*(s + 71822)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**3 + w**2 + 1. Let n be j(2). What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626 = 69*j + c, 6*c - 76 + 185 = 79 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 810, 3214, 7210, 12798, 19978?\nAnswer: 28750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 - 157. Let w = 0.0404 - 0.0104. What is the second smallest value in p, -2, -5, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:18 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -5*s**4\/12 + s**3 + 4*s. What is the second derivative of r(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 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: Simplify (k*k**(-10\/7)\/k)\/(k*k**35)*((k**2*k)\/k)\/(k**29\/k) assuming k is positive.\nAnswer: k**(-444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -45\/2*p**2 + 0*p**3 + 1\/2*p**4 + 141*p - 80. Differentiate v(q) wrt q.\nAnswer: 6*q**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 192*r + 1570.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 270882 divided by -90294\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-3)*(-57)\/4*17\/34?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30589 and 1167959.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1835136, -1835016, -1834896?\nAnswer: -1834776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1307*l + 2351. Let b(m) = 1968*m - 3527. Let j(z) = -5*b(z) - 8*u(z). Find the first derivative of j(n) wrt n.\nAnswer: 616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30613763359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31790 is divided by 465.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 79*w - 54. Let s(n) = 80*n - 56. Let t(p) = -2*o(p) + 3*s(p). List the prime factors of t(7).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnauy. Give prob of picking 1 a and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521628 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152506700 rounded to the nearest one hundred thousand?\nAnswer: 152500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1040344, -1040352, -1040360, -1040368?\n\"Answer: -8*b - 1040336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21612 + -21610. Which is the closest to -1\/14? (a) -10 (b) 6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 6*k - 5. Let c(s) = -1027 - 1024 + 3067 - 4*s + 3*s - 1017. Suppose 5*q - 2*m = 3, -3*m + 6 + 1 = 4*q. Determine q*h(a) - 6*c(a).\nAnswer: -3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1481 * -71\nAnswer: 105151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 0.016336\nAnswer: 0.00065344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 5*c**2 - 4 + 0*c**3 - 2*c**3 - 2*c. Let w be -8*-2*12\/64. Let r be v(w). What is the greatest common divisor of r and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-3) - (-6)\/3) + (-135)\/(-25). Which is the nearest to s? (a) 4 (b) -1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14958 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51067466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -85, -127, -169, -211?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-4) - (-2)\/2. Let i = t + -4. Suppose 45 = 2*y + 5*h, 3*h = 3*y - 59 + 2. Solve -7*l + y = -i*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 970, 2183, 4218, 7087, 10802, 15375, 20818, 27143?\nAnswer: 34362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.0614118 to 2 dps.\nAnswer: -10.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 - h - 7. Let t(m) = m**3 - 8*m**2 - 9*m + 66. Let i be t(8). Is v(i) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9322838?\nAnswer: 2, 7, 95131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -3 + (-9 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0468 and 0.14?\nAnswer: 0.1868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233203 - -112?\nAnswer: -2233031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-16))\/((-27)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*((sqrt(98) + 0)*-5 + -4)*-3 + -1)**2.\nAnswer: 1569750*sqrt(2) + 13870651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 5. Suppose p*c - 4*z - 16 = -60, -2*z = -4*c - 52. Does 15 divide c*-1*(-1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**9))\/k)\/(k*k**(-3\/8)) assuming k is positive.\nAnswer: k**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80065*p**4 - 479*p**3 - 7*p**2 + 4498851 wrt p?\nAnswer: 1921560*p - 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 11*r - 7*r, 3*v = -3*r + 12. Let g = -39 + -1. Let t = 36 + g. Which is the third biggest value? (a) r (b) t (c) -0.2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124201 (base 7) to base 2.\nAnswer: -101101000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjg. What is prob of picking 1 j and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7071173752?\nAnswer: 2, 107, 229, 36073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060 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: Is 32922 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Let z(i) = -9*i + 28. Let g(b) = -2*t(b) - z(b). Let r be g(-9). Suppose -r = -2*l + l. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503608100.\nAnswer: 2, 3, 5, 5012027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -1\/12*g**4 - 1\/12*g**5 + 3*g**2 + 0*g - 1\/120*g**6 + 0 - 1\/3*g**3. What is u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14851605786\/109 + 5022575434688557\/36862056. Let g = 2\/6039 - z. Calculate the common denominator of g and 40\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**3 + 20*x**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/120 + i**5\/60 + i**4\/24 + i**3\/3 - 5*i**2. Let d be z(0). Solve d*o - 16 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125492 is divided by 30759.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12102311 (base 5) to base 2.\nAnswer: 11011100010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-10)*(-3831)\/(-12) - 24\/60. What is the greatest common factor of 1173 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/7, -25, -1\/3, 19613.\nAnswer: -25, -2, -1\/3, -2\/7, 19613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 100630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -78*o**2 + 19. Let i(d) = 14 - 24 + 52*d**2 - 3. Let n(j) = -8*i(j) - 5*q(j). What is the first derivative of n(k) wrt k?\nAnswer: -52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 2*f + 82. Give s(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)*x)\/((x**(24\/11)\/x)\/x) assuming x is positive.\nAnswer: x**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -131, -269, -433, -635, -887?\n\"Answer: -2*x**3 - x**2 - 121*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*v = -75, -57*v - 42 = -2*i - 53*v for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 - o - 2. Let t(c) = -2*c**2 - 2*c - 1. Let w(n) = 3*q(n) - 4*t(n). What is w(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134403 (base 9) in base 2?\nAnswer: 10100000000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*a = 9*a + 5735 + 19034 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124019910 divided by -918666.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 22*s**2 + 83*s + 58. Calculate v(-25).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -8, -22 = -4*u - 3*z - 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:10 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12220 (base 3) in base 2?\nAnswer: -10011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 b when four letters picked without replacement from {m: 1, s: 1, d: 1, c: 2, b: 4, g: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 33*l + 19. Let n be w(-16). What is the derivative of 7*f**4 - f**n + 12 + f**3 - 23 wrt f?\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 456*q - 87*q**3 - 706*q - 17 + 254*q in the form a*q**3 + z*q**2 + v + t*q and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -4. Suppose -t*o - 3*o = -10. Suppose -o*u = -0*u - 112. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3)*3*1. Let q(t) = t**3 + t**2 - 3*t + 3. Is 6 a factor of q(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 547*f**5\/20 - 335*f**3\/3 - 645*f**2. Differentiate a(w) wrt w.\nAnswer: 3282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -4*j**7\/105 - j**5\/5 - 18*j**2. Find the third derivative of h(y) wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362 - -409. Is q greater than 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 27 + 25 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 7584.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -a179?\nAnswer: -a180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -1, 19 in descending order.\nAnswer: 19, -1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -596579*v - 4 - 597326*v + 1196783*v to the form z*v + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**3\/3 + 23. Let c(u) = 18*u + 7. Let m(f) = 17*f + 6. Let d(p) = -6*c(p) + 7*m(p). Calculate r(d(h)).\nAnswer: 121*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 2)*(-2 + 1 + 2) + 4 + 2 + 5)*(-5*m + 3*m + 4*m - 5).\nAnswer: 20*m - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33800252631 + 2?\nAnswer: -33800252629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -74320349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 53, 102, 171, 260?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 9*x**2 + 18*x - 189. Give o(10).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -7890\/269?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15792 and 729160068?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2. Let h(j) be the third derivative of -31*j**4\/12 + 2*j**2 - 8. What is z(h(b))?\nAnswer: -3844*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269 is divided by 115.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. Suppose 0 = -0*j - 3*j - 9. Let s be 16\/10 + j\/2. Which is the second smallest value? (a) s (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*w = 374*w - 108 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3360 + -1547. Suppose -22*a = -15*a - s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 + 170. Suppose r - 4 = 3*w + m*r, r + 4 = -5*w. Solve 5*p + 2*l = 6*l + 7, -p - l + 5 = w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2*p**3 + p**3 - 5)*(2*p**2 - 20*p + 20*p - 4).\nAnswer: -2*p**5 + 4*p**3 + 6*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 22*l)*(-4*l**2 + 4*l**2 - 4*l**2) - l**2 - 2*l**3 + l**2.\nAnswer: 86*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 6*w + 5. Let q be h(-9). Suppose -5*j = -2*p + 63 + 56, -5*j + 4*p = q. What are the prime factors of (-2)\/(-9) - j\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/2 + 1. Let x = 261 - 257. Let a(f) = f - f**3 - f. Determine x*k(v) + 7*a(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3 - 16702*i**2 + 436*i - 77?\nAnswer: 6*i - 33404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + ((-3)\/9)\/((-2)\/294)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749057743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 10) to base 3\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 186083, 189417, 194975, 202757?\n\"Answer: 1112*m**2 - 2*m + 184973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4072687 is divided by 678761?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 1, 4, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 759, -4516, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*q - 30, m + q + 4*q = -16. Let g = m + 6. Let l be 0\/(-1*(-3 + g)). Solve -2*f - 3*f = l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.303 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3285*i - 435 = 3292*i, -313 = 4*o + 5*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s, 2*s + 796 = i. Let y be i\/(-12) + (-2)\/(-6). Let u = y - -99. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -45\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 4*n - 40. Let w be t(5). Suppose 0 = -83*d + 80*d - 18. Let c be 27\/(-15)*w\/d*4. What is the greatest common factor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 11 (b) 2 (c) 5\/6 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -7462\nAnswer: -29848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 + -176. Suppose d = 3*d - l. Calculate the remainder when d is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.66948 or 421?\nAnswer: -5.66948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 565212 = 72*u - 39588. What is the highest common divisor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -4 + 4 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75634367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-39)\/9) + (-10)\/30. Sort t, -5, 6, 0 in ascending order.\nAnswer: -5, 0, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.76 + 0.56. Put -4, -5, 2, z in decreasing order.\nAnswer: 2, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(sqrt(66) + sqrt(66)*3))\/sqrt(11))\/((sqrt(75) - -2*sqrt(75)) + sqrt(3) + sqrt(75)*-2).\nAnswer: 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7208816*o**3 - 7376450*o.\nAnswer: 43252896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1167 - -8690. What is the thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:56 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 12, -34*o + 38*o - 68 = -3*b. Solve -7*l + 5*t = -2*l + 20, -3*l + b = 5*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**2 - 6*c - 6. Let r(a) = 2 + 7*a - 5 - 6*a**2 + 10 + 14*a**2. Calculate 6*p(x) + 5*r(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258.1 - -259. Suppose i + 114 = 7*i. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2629\/40 - 425\/8. Find the common denominator of o and (0 - 93)\/(2\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 27. Suppose -5*v + v + 10 = -2*z, 0 = 5*v - 20. Solve -x = z*l + s - 9, 4*x = -l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*-2*(-27560)\/4240?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 + -138. Let g(p) = 18*p - 1. What is the remainder when g(1) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95728 is divided by 790.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 15*m**2 + 26*m - 8. Give p(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 5, l: 1, d: 2}. Give prob of sequence od.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/2 + 1337*h**3\/2 - 8479*h**2 - 168424*h + 365424 = 0. Calculate h.\nAnswer: -12, 2, 23, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1 + n + n**3 + 2*n + 4*n**2 + 2 - 4*n. Let x(a) = a + 1. Let c be x(-5). What is the remainder when 17 is divided by l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13))**0*(y*y**(-2\/17)*y*y)**(2\/47) assuming y is positive.\nAnswer: y**(98\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Let l(b) = -b**2 + b + 15. Let i be l(v). Suppose 5*a - 2*r - 10 = 10, -i = 3*r. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111101 (base 2) in base 11?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 102 - 63 = 0. Suppose -5*h = 26 + 1669. Let k = 471 + h. Calculate the highest common divisor of k and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*r = -6*s + 6, 25 = s - 3*r. Solve l + s = g + 5*l, 2*g - 3*l - 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -473924*l. Let f(s) = 4*s. Give b(f(y)).\nAnswer: -1895696*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2389 + 1.2229. Put -1\/14, z, -3\/4 in decreasing order.\nAnswer: z, -1\/14, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 925629503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - -54)\/(2\/(-10)*(-1 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -45, 15.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4482*a - 4486*a + 36 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -2*b + 37. Let c be ((-21)\/(-36) - 0) + 2\/b. Solve -4\/3 + 1\/3*v**3 + 4\/3*v**2 - c*v = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216357 - -252980. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 455*o**4 + 718*o?\nAnswer: 5460*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 837809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.058827 tonnes to milligrams.\nAnswer: 1058827000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.710351 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide ((-458)\/14)\/(576\/(-137088))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6)*(-6)\/4. Suppose 0 = 2*i + 2 - 26. What is the units digit of 0 + 0 + i\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96372 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244448629 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-27))\/(2\/(-12)))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4\/61, 1\/3, -1\/3, 3, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00639433 rounded to four dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 495439445.1 and -171.32.\nAnswer: 495439273.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let p = 1169 + -1174. Which is the closest to 1? (a) p (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 15) to base 13\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -9\/2*r**2 - 2*r + 0 - 1\/2*r**3 - 1\/12*r**4. Let g(s) = s**2 + 20*s + 0 + 6 - 18*s - 1. Give 5*g(b) + 3*n(b).\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108)\/(sqrt(192)*-3))\/((sqrt(480) + (sqrt(480) - (sqrt(480) - (-1*sqrt(480) - sqrt(480)))))\/(sqrt(40)\/sqrt(4)*-4 - sqrt(10))).\nAnswer: 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2 + 2*k. Let a(y) = -y**3 + 6*y**2 - 2*y. Let s(v) = -4*a(v) - 5*m(v). What is the smallest common multiple of s(-2) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 39. Which is the nearest to -0.1? (a) -2\/27 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -2*i - 4*j, 25 = -140*j + 135*j - 1 - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 + (-98 - (-9 + -62))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 126.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 316 - 311. Suppose 4*r + 217 = 3*l, 4*r = 3*l - 6*l + 209. Suppose -h*s = -l - 24. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(27) + -1)**2.\nAnswer: 18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0788 and 132026 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 24*i - 12. Let w be 3\/((-3)\/8)*(-18 - (60 - 77)). Give o(w).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 2, x: 1, h: 4, a: 2}. What is prob of sequence iahv?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -6. Is y\/4 + (-413)\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60725\/(-70)*36\/(-10) + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101253312 - -5?\nAnswer: -101253303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0373454834 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6801888 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*z + 23 = 4*z, -331*a + 330*a - z + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1502)\/(-22) - 19229\/287?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 bigger than -2663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8\/60*51\/(1683\/110)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 45 = 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19822, 19807, 19792?\nAnswer: 19777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 7*x**2 + 20*x**2 - 3*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(1\/4))\/o)\/o)\/(o*o\/(o*(o**(-8)*o*o*o)\/o)*o) assuming o is positive.\nAnswer: o**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 29780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 242783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 3\/7 (c) -0.06 (d) -0.0488 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*g - 944*g - 1 = r, -2*g + 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143252*b**4 + 2*b**2 + 2*b + 27792 wrt b.\nAnswer: -1719024*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = -9*h + 13. Let s(g) = 3*g + 40. Let a be s(h). Put 3, -0.3, a, 3\/2 in decreasing order.\nAnswer: 3, 3\/2, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160070711*d**2 + 210498303*d wrt d?\nAnswer: -320141422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 40205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217\/62*2\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -11629?\nAnswer: -11629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -6. Let p = -7 - g. Let r = p + 1. Which is the closest to -0.1? (a) 2 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r + 2*r, 5*t + 5*r + 205 = 0. Let n be -6 + 9 + t\/1. Let z = 86 + n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/(-3 + 93\/32). Suppose -14*r + f = -6*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22*(1 + 24514\/30 - (-416)\/(-3120)).\nAnswer: 2, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4541262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5 + 4 + 8 - 306*j.\nAnswer: -306*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -845.8 - -846. Which is the nearest to 0? (a) 0.14 (b) r (c) -4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 - 187\/255. Is 11\/6 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239799 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10089.\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/(((-4)\/(-6))\/((-4)\/(-6))). Suppose -5*w + o = -35. Let f be (-3 - 2) + w\/4. Which is greater: 1\/19 or f?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -1525.\nAnswer: -1525.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5979 - 1095 = 262*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15, z + d - 2502 = 3482. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 4*l + 5. Let g(j) = j**2 - 6*j + 4. Let p be g(4). Let c be w(p). Suppose 152 = c*k - 13. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22 + -11 + (-2618)\/242. Let h be (2\/21)\/((-2)\/(-6)). Which is the closest to h? (a) -2\/13 (b) o (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -111.\nAnswer: -11\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913332 = -73*n + 303505. List the prime factors of n.\nAnswer: 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f**2. Let b be y(-2). What is the second derivative of 10*d**4 - 95 + 115*d**b - 2*d + 16*d**4 + 88 wrt d?\nAnswer: 1692*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -287555, -287556, -287557, -287558, -287559, -287560?\n\"Answer: -h - 287554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 4*o**2 + 13*o - 6. Let w be j(2). Let f(n) = 11*n + 37. Calculate f(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(12\/6))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times 29?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j + 2*j**3 - 7*j + 1 - 1 - j**3 + 2*j**3 + 3*j**3 - 6*j**3 + 0*j - j**3 + 0*j + (j**2 + j**2 - 3*j**2)*(-4*j + 4*j + j) - 2*j**3 + 3*j - 3*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -51, 4, -0.1, 3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1612 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r - 1. Let s be (3 - 7) + (-4 - -14). Let z(o) = 8*o**2 + 8*o + 5. Give s*g(y) + z(y).\nAnswer: 2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-5)\/(-15)*-1). Suppose -36 = -15*f + 6*f. Is f != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45287 and 531300?\nAnswer: 95102700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*v**3 - 5)*(5 + v - 5) as y*v**3 + i*v + w*v**2 + m + r*v**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n**2 + 0)*(-21*n**2 - 36*n**2 - 36*n**2) + (3 + 2*n**3 - 3)*(-2*n - 2*n + 3*n).\nAnswer: -95*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 u when four letters picked without replacement from uuuyuyuvvbvvuu.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (35 - 7) + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 271*g - 270*g + 5, -2*i - 3*g - 18 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 79*i - 6. Let v(l) = 26*l - 2. Calculate -3*q(p) + 8*v(p).\nAnswer: -29*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.66937 millimeters in kilometers?\nAnswer: 0.00005666937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*n + 2*n**2 + 2*n**2 - 4*n**2 - n**2.\nAnswer: -n**2 + 62*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 47. Solve -4*p + 2 = -5*c + 19, -5*c + 3*p = -m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 643620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5 + 6*g**4 - 6*g**3 + 2*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - l + 2*l - 1, 4*l + 8 = -2*j. What is the greatest common factor of 41 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u - 2. Let h(v) = -v**2 + 5*v - 1. Let s(m) = 5*h(m) - 4*r(m). Let q be s(3). Let d(a) = -a - 6. Give d(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-5 - -2) - -66. Suppose -13*h + 61 + c = 0. What is the remainder when (-1 - 0)*(-74)\/2 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*310\/186?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = -0*o. Let z = o - -17. Calculate the remainder when 58 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 271 in -3.4, -0.4, -10\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20340 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2067320609 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*u**3 - 7*u - 27*u**3 + 20*u - 2*u**3 + u**3 + 3*u**3 + (-2*u + 2 - 2)*(-2*u + 2*u**2 + 2*u) + u**3 + u - u.\nAnswer: 4*u**3 + 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-183 - -1 - 0). Suppose x = 5*x - u. Suppose 103*l - 72 = 99*l. Calculate the highest common divisor of x and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 86*s + 7 - 100*s - 215*s - 9*s in the form o*s + k and give o.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -311, 304, 1313, 2716?\n\"Answer: 197*n**2 + 24*n - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 151347160 rounded to the nearest 100000?\nAnswer: 151300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 0*r**2 - 2*r + 2\/3*r**3 + 9. Let n(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -710183545338 from -0.2.\nAnswer: 710183545337.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/3)\/(-4))\/(1\/(-9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.68156 litres in millilitres?\nAnswer: 14681.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 3*y**2 - 6*y - 2. Let n be 6\/(-14) - ((-156)\/(-28) + -3). Let g be q(n). Let r = g + -18. What is the closest to r in 2, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1022, 11, -21 in descending order.\nAnswer: 1022, 11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 17.\nAnswer: -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 6*k**2)*(1 + 1 - 4)*(-2 - 1 + 4)*(14 - 47 + 3)*(3 - 4 - 1)*(4 + 0 + 0).\nAnswer: -2880*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 + 5 - 5. Let i(n) = 3*n - 3*n - n. Give i(v(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6820\/(-2511))\/(-44)*(27\/(-15))\/(-3).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 3*p + 963742*p**2 - 3 - 963542*p**2 in the form b*p + j*p**2 + s and give j.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10913 take away -0.1?\nAnswer: -10912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285793 and 830593.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -364.59 - -345.9. What is i rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -580*u**2 - 258*u - 10. Let n(d) = 193*d**2 + 86*d + 3. Let a(q) = 3*m(q) + 10*n(q). What is the second derivative of a(y) wrt y?\nAnswer: 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:30 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/3, -2\/19, 4, -6844, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 + 4*z - 2. Let t be f(1). Suppose 12418 = 4*l + t*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1950 - 1948. Let v be (1 - -1)*(-189)\/(-14). Suppose w*s - 5*y + 5 = 0, 7*s - 2*s + 2*y + v = 0. Sort -2, s, 5.\nAnswer: s, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52.25 + 37.6. What is y rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 9*f + f - 4*f + 3*f - f + (3 - 3 + f)*(-3 + 3 - 1) - 26*f - 1 + 17*f + 18*f + (-3 + 0 + 2)*(2*f + 10*f + 29*f) as w + t*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42131 = 612*a + 25607 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 5*d**2 - 4*d + 5. Let x be q(-4). Let s(i) = 5*i**3 + i - 1. Let k be s(1). Let b + 56*b**k + b - 34*b**3 - 24*b**x = 0. What is b?\nAnswer: -1, -1\/4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose 0*s = -k*s + 105. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 9*y**2 + 4. Let n be p(-9). Let c be 146\/n + (-3)\/6. Suppose -2*q = 5*s - c, 2*q - 3*s = -0*s + 4. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31.1 and 0.016?\nAnswer: 31.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - 89?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, -11\/7, -1, 2\/11, -3\/8?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (58029\/(-1620))\/(-29) + ((-4)\/16 - 1). Is 0 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 + -1.9. Let v = -2.7 - s. Let p = 0.9 - v. Which is smaller: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - n. Let a(b) = b - 2. Let r be a(4). Suppose r*q - 7 = -3*l, -2*l - 2*q + 1 = -5. Calculate s(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = -6*o + 3*o, 5*c - 2*o - 28 = 0. Solve 3*g + c = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -8. Suppose 3*d - 4 + 1 = u. Solve d = -s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 34*m + 45*m in the form p + u*m and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5\/2. Let z = -297 - -297.2. What is the biggest value in z, c, 1\/8, -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -3*r**3\/5 + 1029*r**2\/10 + 138*r - 1915. Find t, given that g(t) = 0.\nAnswer: -2\/3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -2. Let t = -8 - b. Suppose t = -5*n - 10 + 70. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*4\/1*1530\/(-1020)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdqq when four letters picked without replacement from {q: 3, h: 5, d: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 - -316. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3584 is divided by 181.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -161. Let b(m) be the first derivative of 6*m**2 - 3*m - 1. Is b(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 25 + 10 + 11 + 4.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2299) + 0)*2)**2.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -369*m + 1097*m - 366*m + 26*m**3 - 8*m**2 - 16*m**4 - 362*m to i*m**4 + f*m + u*m**2 + g*m**3 + n and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303548?\nAnswer: 2, 7, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 27734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/481 and -7\/222.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31122 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) 5 (b) -1.3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n - 6*n. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:12 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6339440 and -1?\nAnswer: 6339440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10937, -11098, -11259, -11420, -11581?\n\"Answer: -161*j - 10776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*c + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.2, 0.05, 0.2, -5, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 138740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*y - 31 = 0, -30*m + 4*y = 34*m - 63*m + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-8)\/2 - -2). Let w(a) = -5*a + a + 6*a. Let l be w(-1). Is b > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j. Let g be k(-1). Suppose -4*t + g*t = 3*b - 102, -2*t - 24 = -b. Let u = 7494 - 7466. Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 13 = 11*t + o, -3*t = -o - 18. Solve 0*f - t*y = 3*f - 5, -5*y = -4*f - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002588 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**3 - 5*n**2\/2 + 5*n. Let y(c) = -c + 1. Determine p(h) + 5*y(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g + 44 - 21 + 145 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14705915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0)**30*(w\/(w\/(w\/((w*w**(2\/9))\/w))))\/(w*w**(2\/7)\/w) assuming w is positive.\nAnswer: w**(1921\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 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: Solve -4*m = 8*z + 4, -m - 520 = -3*z - 514 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*g - 19 - 6 = 0, 5*j = 4*g + 25. Put 1, j, -569 in increasing order.\nAnswer: -569, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y - 175. Let u = 3747 + -3766. Give w(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = -2. Let n be 11 - ((-3)\/1 - a). What is the highest common divisor of 96 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2218 + 120a?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 4*t - 6. Let g be f(6). Suppose c = g*c - 20. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*m = -15, 2*l + 3*m - 6 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 20*v**2. Let h = -36 - -52. Let t(j) = -j + h - 16. Determine t(f(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = q - 7, 0 = 5*q + u - 9. Let n = 2 + -1.7. Let d = 4.04 + -0.04. What is the biggest value in q, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 10*j**2 + 2. Suppose -3*r - r = -o + 14, -2 = -3*o + 2*r. Let n(h) = h**3 - h**2 - 1. Let m(c) = o*n(c) - g(c). Suppose m(z) = 0. What is z?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59699*c = -59716*c - 425 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x = 0. Let y be 1\/((-16)\/(-1252)) + 2. Let c = y + -80. Which is greater: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-9) - 4\/(-6))*213\/639. Solve u + 49*p - 54*p = m, 0 = 2*u - 5*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t\/(t*t**(-14))*t*t**(8\/7)*(t**0)**(4\/3) assuming t is positive.\nAnswer: t**(127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1763171 divided by -10817.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (156\/(-16))\/(123\/164)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. What is the lowest common multiple of 16 and 1 - (-2)\/(j\/21)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -129.886 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182325 and 46310550.\nAnswer: 46310550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -542 less than -46074\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 148\/4 + (-182)\/(-14). What is the highest common divisor of 1055 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + (-282)\/30)\/((-16)\/20). Suppose 0 = z - 2*m - 1374, 0 = 3*z - w*m - 1110 - 3003. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7263.03 to the nearest 100.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3514072 (base 8) to base 15.\nAnswer: -13d5ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*q**3 - 6*q - 5*q - 342*q**3.\nAnswer: -5*q**3 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 u when four letters picked without replacement from {u: 6, f: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 1. Let h be x(1). Let m be h*(3 + (-102)\/33). Suppose 0 = 3*v - c + 1, -c + 6 - 3 = -5*v. Is m < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -864.\nAnswer: -864, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -210 - -651. Let l = -450 + p. Let n(o) = o**2 + 6*o - 21. Determine n(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/121980 and -79\/7980.\nAnswer: 853860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2229518*m**4 - 4867*m**2 + m - 23 wrt m.\nAnswer: 53508432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + 11 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371494067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 + -2 - -7 - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2685*(-3 - (-110)\/6) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -24 (c) -0.273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3970 - 3971. Is 1\/600 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-186)\/30 - -5) + 681\/5. Calculate the highest common divisor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -887 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -13*h**4\/12 + 5*h. Let l(k) = k**2. Calculate t(l(q)).\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from ezssszymmmvy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(14\/5)*y*y)\/((((y*y*y\/(y**(-2\/13)*y*y))\/y*y)\/y)\/y)*(y*y**9)**27 assuming y is positive.\nAnswer: y**(17917\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13146, -13104, -13064, -13026, -12990, -12956, -12924?\nAnswer: -12894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -211?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121 or 111?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 - 10*q + 4. Suppose 11*w = 63 + 36. Suppose 4*u + 11 = -w. What is the remainder when 56 is divided by x(u)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b - -82a?\nAnswer: 7cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3860, 99, 0, -9 in increasing order.\nAnswer: -3860, -9, 0, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*b - 201 - 209)*(-2*b + 0*b + 4*b) + 1 + 3*b**2 - 1.\nAnswer: -b**2 - 824*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -882, -6692, -22260, -52404, -101942, -175692, -278472, -415100?\nAnswer: -590394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36, -200, 1, 4, -6, -4 in ascending order.\nAnswer: -200, -36, -6, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164686018?\nAnswer: 2, 7, 97, 121271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4, 0 = -v + 71*r - 68*r - 11. What is the nearest to -1 in v, 0.33, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1299 = 4*q + 363, 2*r - q = 1671. What are the prime factors of r?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 68704 = 2*x - 70914, x + v - 69803 = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352344, -1409384, -3171118, -5637546?\nAnswer: -8808668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 56 - 56. Solve -5*r + 3 - 8 = s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, -1\/2, -0.1 in decreasing order.\nAnswer: -0.1, -1\/2, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83112127, 83112129, 83112131?\nAnswer: 83112133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27449 + 14284. Let x = z + 29592. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*p**3 - 40*p**3 - 42*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**5 - 136014*v**3 - 1723*v**2 - 2051 wrt v?\nAnswer: -240*v**2 - 816084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/5 - 458*c\/5 - 360 = 0. What is c?\nAnswer: -225, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 3401, 7726, 13781?\nAnswer: 21566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let c be 2\/3*3\/(-2). Let o(y) = y**3 + y**2 - y - 1. Let m be o(c). What is the nearest to m in n, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273 - -1910\/7. Let t = -0.29 + -12.71. Which is the smallest value? (a) t (b) k (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxaahsahhxhhzh. Give prob of sequence sh.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 824 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182852475 a multiple of 3311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 43, -88, -369, -848?\nAnswer: -1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2 - p + 5*p**2 - 2*p**3 + 3*p**3 - 4. Let x be u(-5). Find the second derivative of -x*b + b - b + b**4 + 0*b wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-49 + 44 - (-4 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/180 and -59\/268254?\nAnswer: 2682540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 605321569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3077.3 - 3238. Let w = 160.70000849 + u. What is w rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/40)\/(1\/(-6)). Let r = -0.09 - -11.09. Let h = r - 10. Which is the nearest to o? (a) -3\/5 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*y + 8 + 6, -y - 5*p - 5 = 0. Let o = 23 + -21. Suppose o*m + 82 = y*b, -3*b + 52 = -4*m - 0*m. Calculate the remainder when 29 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 0*b**6 + 0*b**5 - 2\/21*b**7 + 1\/6*b**3 + 20*b**2 + 0*b + 0*b**4 + 0. Differentiate k(l) with respect to l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/5414915 and 7\/1476795?\nAnswer: 16244745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50456, 50454, 50452?\n\"Answer: -2*p + 50458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -11\/6*a**3 + 0 + a**2 + 1\/12*a**4 + 0*a. What are the prime factors of j(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 10*f + 11. Suppose 5*v - 11 = -j, -j - 5*v + 3*v = 1. Let q be u(j). Suppose -5*s = q*k - 7, -k - s + 2 = -3. Is k 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 4:01 PM and 4:12 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 8*y - y**3 - 10*y**2 + 18 + 11*y. Is x(-12) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9539893*l + 9539893*l - 65*l**5 - 1494*l**2 + l**3 wrt l.\nAnswer: -3900*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 59*p**5\/10 - p**4\/4 + p**3\/6 + 95*p**2. Find the second derivative of r(k) wrt k.\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118566984?\nAnswer: 2, 3, 4940291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 4148 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 19, m: 1}. Give prob of sequence ddm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -356592418 and -0.4?\nAnswer: 142636967.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 1. Let u = -3462 + 3461. Let h(d) = 2*d**3 + 9*d**2 - 2. Determine u*h(k) - 4*a(k).\nAnswer: -2*k**3 - 13*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -591, 2\/9, 1\/6, -0.57, 1?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/120*(-3)\/(-1)*29\/(-174)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/8, 1\/121, 68, 1\/8, 1\/4?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -48 + 15. Let h be (-2)\/(-5) - (-12)\/(-30). Suppose -n - 4*m + 5*m + 101 = h, 2*n + m = 196. Calculate the greatest common divisor of r and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141077517 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + (-7)\/(-12). Let r = 4\/99 + 2\/11. Let a = 12.9 - 13. What is the closest to a in -3, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844, 839, 832, 823, 812, 799?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7159927*c**2 - 1052*c - 831*c**3 + 7159927*c**2 wrt c.\nAnswer: -4986*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 19*z**3\/3 - 9*z**2 - 13*z + 39. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -23. Let j = -3.4383 - 24.5643. Let l = j + f. What is l rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1398036, 2796040, 4194038, 5592030, 6990016, 8387996?\nAnswer: 9785970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214625 at most 213864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 6. Let q = 5 + -6. Put s, q, 4 in increasing order.\nAnswer: s, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jebibbu. Give prob of picking 1 e, 2 b, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36, -60, -92, -132, -180?\n\"Answer: -4*h**2 - 12*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*s - 41, b - 17 = -s - b. Suppose -2*p = -s*p + 40. Suppose 65 + 26 = 13*t. Solve -3*u - 4 = -h, 4*u = -3*h + t*h - p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 + 7*b**4\/24 - 2*b**2. Let v be j(-7). Suppose -i + 3*i - 20 = v. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*d + 393 = 217*d - 1637 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 30. Let u be (f\/(-312))\/(2\/16). Suppose 2\/13*n**2 - 8\/13*n + u = 0. Calculate n.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72576229 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46 and 2345.\nAnswer: 2391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 134025587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0011 (b) -4 (c) -13474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.7 times 321?\nAnswer: -6644.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.5, -5\/2, 1513 in increasing order.\nAnswer: -5\/2, -0.5, 0.4, 1513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*d - 7*d - 5*d + (-10 + 3 - 1)*(1 - 16*d - 1).\nAnswer: 105*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-10)\/((-74)\/(-555)*-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6 and 38\/3687.\nAnswer: 7374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 173\/2. Let n = 6.548 + 0.052. Let c = n + -6.8. Sort c, m, 0.2.\nAnswer: c, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/(b**(-2\/33)\/b)))*b\/(b\/(b\/(b**(-17)*b))) assuming b is positive.\nAnswer: b**(629\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97523868.\nAnswer: 2, 3, 13, 29, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 259.0215g?\nAnswer: 0.2590215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1552 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 15*s + 427. Give y(22).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*w**2 - 7*w**3 + 10*w + 114*w**2 - 12*w.\nAnswer: -7*w**3 + 209*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 5*z + 32. Suppose -3*t - 54 = -3*g, -2*g = -2*t - 3*t - 78. Is a(t) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 22 = 2*c, 5*t - 53 = 5*c - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 + -168. Let i be ((-9)\/t + 1)*12. Which is bigger: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/162 and 101\/108?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/12 + h**4\/12 + h**3\/3 + 15*h**2. Let q(l) = -6*l**2 - 3*l - 3. Give -2*q(o) - 3*u(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260 and 442?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18*69)\/((-175)\/525).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -905*x + 273373. Calculate l(302).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-60) + 1 + (-74)\/20. Is n equal to 27\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**1))**(-8\/17))**(-34) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**0\/f)*f))**(-23)\/(f*f**(1\/5)*(f**(2\/7)*f)\/f*f) assuming f is positive.\nAnswer: f**(1523\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1045.8? (a) 0 (b) -751 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v**2 + 13*v + 17. Let x = -54 + 50. Is l(x) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -352, -370, -404, -460, -544?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqtqttqtqtttttttqt. What is prob of picking 4 q?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120628317.\nAnswer: 3, 40209439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41223 * 0.5.\nAnswer: -20611.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 - 45*z**4 - 145*z**3 - 215*z**2 - 150*z - 40.\nAnswer: -5*(z + 1)**3*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 65. Calculate the highest common divisor of c and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h. Let r be m(2). Let k be (574\/6)\/((-15)\/r). Let j = 2407\/12 + k. What is the common denominator of -31\/4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + n - n - 5*n + 11*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*b - 2*x, -2*b - 5*x + 21 = -2*x. Let h = b - 7. Solve -w - 1 = h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/22*276\/(-345).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*l - 498 - 217 = 145. Solve -y - 16 + 36 = -5*d, -d - l = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w**3 + 3*w + 4. Let d be h(-2). Which is bigger: d or -109?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4513.423ml?\nAnswer: 4.513423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6170564 to the nearest ten thousand.\nAnswer: 6170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 2*p. Let d(a) = 8*a**2 - 2666*a - 881792. Let n(o) = -2*d(o) - 10*k(o). Determine b, given that n(b) = 0.\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose -4 = -c + 2*o + 4, 2*o = -c. Let z(l) = -l**2 + 4*l - 2. Let f be z(c). Sort v, 3, f.\nAnswer: f, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 195 = -5*c, 1 - 11 = 2*m. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s = -44*s + 78*s - 336 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 3*d + 25. Determine b(-9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u + 250. Let v(c) = -c**2 + c + 0*c**2 + u - 51. Let w be v(0). Is -1 equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 439. Let z(g) = g + 488. Determine 6*a(u) + 5*z(u).\nAnswer: -7*u - 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 4*v**2 - 42*v + 234. Let p be q(5). Put p, -698, 1 in ascending order.\nAnswer: -698, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025831884.\nAnswer: 2, 89, 5690539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(475) + sqrt(475) + (sqrt(475) - (0 + sqrt(475) + sqrt(475) + sqrt(475)))*-1 + sqrt(475)) - 1*(-5*sqrt(95)*-3)\/sqrt(5))**2.\nAnswer: 229900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 927, 567, -415, -2331, -5493, -10213, -16803?\n\"Answer: -52*c**3 + c**2 + c + 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468 (base 12) in base 15?\nAnswer: -a8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3056823 nanometers?\nAnswer: 0.0000003056823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -9*f**5\/4 - 35*f**4\/12 + 2*f. Find the third derivative of a(i) wrt i.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 815597.1g?\nAnswer: 815597100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 884.9955ml?\nAnswer: 0.8849955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 3, o: 1, z: 5}. Give prob of picking 1 b and 1 z.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, m: 1, e: 6}. What is prob of sequence vee?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/(-4))\/(3\/12). Suppose -p + 2*p = i. Calculate the lowest common multiple of 46\/p + 6\/(-21) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0, -16\/5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, 5, 4, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5131 * -29.\nAnswer: -148799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 3\/4 (c) -0.0074 (d) -1093\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 plus -57797163?\nAnswer: -57796910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l**3 - 5621*l - 35628?\nAnswer: 21*l**2 - 5621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) -2 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420378 and 10929828.\nAnswer: 10929828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26760.27 months to years.\nAnswer: 2230.0225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8644340203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2156*0.058\nAnswer: 125.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*q - 9, 2*s = -3*q + q + 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93c5b8 (base 13) to base 4.\nAnswer: 31023123120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Suppose 4*x - 13 = 3*x - 3*z, 0 = -5*z + 15. Let g be 3\/a*(-2 + x). What is the nearest to -2 in -2, -1\/4, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. What is the third derivative of -10*t**x - 15*t**2 + t**5 - 4*t**2 wrt t?\nAnswer: -540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105? (a) 4 (b) -5\/2 (c) -5 (d) 1 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -121080 and 0.0479.\nAnswer: -121079.9521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 31 + 311*t**2 + 14*t - 631*t**2 + 321*t**2. Let q be i(-3). Let s = -0.8 + 3.8. Which is the closest to q? (a) 3\/8 (b) s (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669361549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 863419, 863486, 863553?\n\"Answer: 67*p + 863352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -766798404 rounded to the nearest ten thousand?\nAnswer: -766800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5910, 5908, 5906, 5904?\nAnswer: 5902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 p when four letters picked without replacement from eppevegcgvvpeeev.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 - 4*g - 5. Let u be f(7). Suppose 8 = -4*a + 4*k - u, 0 = 4*a + 2*k. List the prime factors of 1\/(a + (-66)\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -49*i + 50*i - 1 + 8. Let d be n(-5). Solve -c**2 + 3*c**4 + 0*c**4 + 36*c**3 + c**5 - 33*c**3 + d*c**2 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1496 and 47774672.\nAnswer: 812169424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 2*r**2 - 25*r + 7. Does 65 divide j(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 12414?\nAnswer: 12423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(4)*-2))\/((sqrt(60)*-1)\/sqrt(12))*2.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 1. Let k be o(4). Let p = -5 - k. Suppose -3 = -p*t + 21. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s - 6. Let m be r(-4). Let c be m\/(-9)*15\/55. What is the second biggest value in -8, 2\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 381440203*y**3 - 80087422 wrt y.\nAnswer: 1144320609*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k**2 - 2*k**2 + 50*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 0.016, 0.1 in increasing order.\nAnswer: -0.2, 0, 0.016, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45982, -45906, -45832, -45760, -45690, -45622?\n\"Answer: -u**2 + 79*u - 46060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -38 - 82. Let r(p) be the second derivative of -7\/15*p**6 - 4*p**2 - 43\/6*p**4 + 3*p**5 + 5*p + q*p**3 + 0. Suppose r(h) = 0. What is h?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6602 is divided by 346.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from xwsxnxnxhhps.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45981 + -45223. Which is bigger: g or -4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -583*c + 634*c - 357. Let i(j) = -2*j**2 + 26*j - 86. What is i(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 199 = 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 32. Let k = 22.05 - b. What is k rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-4 + 15 - 12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229 + -239. Let c(x) be the third derivative of x**6\/120 + x**5\/5 + x**4\/2 - 13*x**3\/6 + x**2. What is the remainder when c(q) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14 = x, -33*x - 22 = -30*x - 5*o. Is -122\/27 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.042 + -16.042. Let v = o + 15.99999907. What is v rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*h**6*u**2 - 39*h**3*u**2 + 44*h**2*u**2 - 9*h wrt h?\nAnswer: -4200*h**3*u**2 - 234*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**3 - 2*s**2 - 6*s. Let z(j) = -4*j**3 - 2*j**2 - 5*j. Let k(h) = 5*l(h) - 6*z(h). Is 16 a factor of k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-15)\/12) + (-182)\/35.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 105117?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 h, and 1 l when four letters picked without replacement from luullhbhhfhhhlhhhhh.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 259322944 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63.2 - 60.2. What is the nearest to -0.1 in 16, 5, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 + p + 10. Let t(j) = -6*j**2 + j + 9. What is -5*o(h) + 6*t(h)?\nAnswer: -h**2 + h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/11, -71627, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:02 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 + 3*l - 7. Let h be u(-5). Let f(z) = 2*z - 1. Let b be f(h). Suppose -b*i = -81 - 754. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - 56?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*b - 79026291 - 6*b**2 - 332*b + 79026291.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -4 - 0) + (0 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 857*k + 7*k**3 + 857*k - 4*k**2.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 889, 1776, 2653, 3514, 4353, 5164, 5941, 6678?\n\"Answer: -g**3 + g**2 + 891*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4618*y**2 + 4774. Let g(s) = -s**2 + 20. Let n(w) = b(w) + 5*g(w). What is the derivative of n(x) wrt x?\nAnswer: -9246*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 324597, 324585, 324557, 324507, 324429, 324317, 324165, 323967?\n\"Answer: -o**3 - 2*o**2 + o + 324599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 26331.275934?\nAnswer: -26333.275934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*m*z**2 - 85*m + 4*z**2 - 1 wrt z?\nAnswer: -12*m*z + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5730.\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (49 + -1)\/16 + (-1 - 2 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 8. Suppose -3 = -x - t*o, 5*x - o - 15 = o. Solve -x*u = -2*k, 3*u + 5*k + 17 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465394 divided by -2?\nAnswer: 732697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 85*y**2 - 1300*y - 63. Let u be g(-99). Are -8578 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34537 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 6*c - 2*c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 566 + -568. Let j be 14\/16*(-9)\/21. Put 3, x, j in descending order.\nAnswer: 3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2346131 by 5.\nAnswer: -2346131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1147 + 1146.7895. Which is the biggest value? (a) g (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 4) in base 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 + 123 = -16*n - 72 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 2*a - h - 75, 0*h - h = -9 + 4 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4 + 2. Suppose -24 = -4*o + r*o. Calculate the least common multiple of o and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(39\/221)\/(-3).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -63*u + 4. What are the prime factors of q(-1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umkmkkq. What is prob of picking 1 u and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -60, 7, -3, 1\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 9*k. Let m be a(-9). Suppose m = 3*t - 5*t + 40. Solve -2*d - h - 4 = 4, -2*d - t = 4*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 r when four letters picked without replacement from dlddbrrobdro?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 390 - 384. Let w be (4\/(-6))\/((-2)\/24). Let r = w + -6. What is the lowest common multiple of c and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = 5*i - 5*s, -4*i + i = -5*s - 342. Suppose -4*n - 27 = -i. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 1, -0.6, -1, 0.3, -1.5.\nAnswer: -1.5, -1, -0.6, 0.01, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 0.979 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3882.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173117*z**4 + 164915*z.\nAnswer: -2077404*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59703107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 - 152*v + 12449 = 0. Calculate v.\nAnswer: -211, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/24 and 73\/620784.\nAnswer: 620784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 809.1 and 8.2.\nAnswer: 817.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1326*k**3 - 293*k**3 + 38*k**3 + 3310*k**3.\nAnswer: 4381*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 + 4*b. Let w be 0\/2 + 4\/2. Let m be 2*1*6\/(-4). Let l be w*m\/(-6) + -4. Calculate h(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 2 - (3 + -3). Let i be (m\/22)\/1 + 46\/110. What is the third smallest value in 0.3, i, 5, 1\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 43\/5*t**5 - 1\/4*t**4 + 0*t**2 - 115\/3*t**3 + 0*t + 123. What is the third derivative of a(g) wrt g?\nAnswer: 1032*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 13 = h + 1, -2*h = 4*b. Let g(l) = 7*l - 5*l + h*l + 2*l. Let t(p) be the first derivative of p**3\/3 + 2. Give t(g(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34489 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {q: 2, w: 3, h: 1, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.72 + -2.2. Let m = 4 + t. Let s = m + 4.92. Sort -4\/7, s, 1 in decreasing order.\nAnswer: s, 1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:07 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -548*v - 66*v - 658*v as p*v + j and give p.\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 34 - 106 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 49*z**2 + 27*z + 54. Let j be a(-25). Suppose 5*x - j*u = 2*x + 61, 4*u + 99 = 5*x. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 25, 59, 107?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6065 and -527?\nAnswer: 6592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-472276)\/(-303))\/(-167) - (-5142)\/549?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/4 + 585*p + 342225 = 0 for p.\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -3*q**8\/56 + 13*q**5\/5 - 61*q**4\/6 + q**2\/2 - 84*q - 1. What is the third derivative of u(g) wrt g?\nAnswer: -360*g**3 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 11*r - 10. Suppose 0 = -6*n - 50 - 22. Let v be z(n). Differentiate -1 + 33*k**v - 3 - 25*k**2 wrt k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 723*f**5*r - 2*f**2*r**3 + 6*f*r**2 - 8*r**3 - 2*r**2 wrt f.\nAnswer: 14460*f**3*r - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2918 = -4368. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 + 703*t**4 + 2761*t**2?\nAnswer: 120*t**2 + 16872*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-6)\/2 - -2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1030*j**3 - 6*j**2 + 12*j - 16. Let b(f) = -3087*f**3 - 21*f**2 + 35*f - 48. Let g(a) = -2*b(a) + 7*o(a). Find the second derivative of g(m) wrt m.\nAnswer: -6216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8465 divided by 5\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 16 - -5 - 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -15, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/(271 + 309626\/(-1143))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297912216 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*p - 32*p - 4123. Let f = 595 + p. Solve 6 = -f*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, 9, 26, 49, 78, 113?\n\"Answer: 3*r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 - -447\/5. Let k = -24 + 23.5. What is the closest to -1 in 2, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 4*d**2 + 120*d + 438. Let r be q(-4). Suppose -2*h + 3*h - 42 = 0. Let g = r + h. Solve u - 7*f + 3*f - 24 = g, -2*u - 3*f = 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*314584\nAnswer: -943752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12749 divided by -5?\nAnswer: 12749\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343 - -844. Suppose -3*c + 488 = -c. Let p = t - c. What are the prime factors of p?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**4\/24 + w**3\/6 - w**2\/4 - 170*w + 58. Let r(d) be the first derivative of p(d). Factor r(u).\nAnswer: -(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1630*f + 9*f**2 - 3254*f + 1631*f - 10 + 2*f**2 + 10 + (0 - 1 + 2)*(-3*f**2 - 4*f**2 - 3*f**2) in the form q*f + y*f**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 6 - -6 - 24.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = -223*h + 220*h. Let v = -125 + h. Solve -4*t + 5*s - 7 = 0, 2*t - 6*t + v*s = 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + 8. Let u(v) = -7*v + 16. Let n(y) = 5*a(y) - 3*u(y). Find the first derivative of n(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/4 + (-11)\/(-44). Let l(r) = 0*r**2 - r + 0*r**b + 1 + r**2. Let h(d) = -7*d**2 + 4*d - 6. Determine -h(v) - 6*l(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 1, y: 1, e: 1}. What is prob of sequence ey?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 525*b**3 - 36 + 264 - 24 wrt b.\nAnswer: 1575*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/14 - (-45)\/126. Which is the smallest value? (a) h (b) 5 (c) 0 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 - 3759*o**2\/2 - 77378*o + 1301570\/3.\nAnswer: (o - 11318)*(o - 5)*(o + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -149*p**4\/6 + 7*p**3 - 3*p**2 + 13. Is i(-1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 35. Let b be p(14). Suppose r - 11 = -o + 2, 4*r = -o + 43. Let y = b + r. Calculate the lowest common multiple of 9 and y.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235902, -235986, -236070, -236154, -236238, -236322?\nAnswer: -236406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 0*o**2 + 3 - 12 + 8*o. Let g(m) = m**2 + 1. Let r(i) = -f(i) - 4*g(i). Let y be r(-8). Solve 0 = -3*u + 4*j - 16, -4*u - y*j = 8 + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*a + 42. Let n be (a + 4 + -1)*2. Let h = -0.025 + 0.725. What is the smallest value in 2, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*x + 85 = 0, -83 = -4*o - x - 12. Let i = -16 + o. Solve -4*s = -3*p + 15, 0 = p - i*s - 8 + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 437, 1007, 1703, 2525, 3473?\n\"Answer: 63*a**2 + 381*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18374, -53894, -89414, -124934?\n\"Answer: -35520*l + 17146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 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: Let y(b) = -2*b. Let s(m) = 78960871*m. Determine s(y(j)).\nAnswer: -157921742*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*o + 171*o - 4395 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/5*32\/48. What is the second smallest value in g, -1\/3, 0.3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a + 11*a + 5*a - 2.\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310912?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -4 - (3 + 1). Let t(w) be the third derivative of w**5\/12 - w**4\/24 - 2*w**2. What are the prime factors of t(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64404 divided by 10734?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 32745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 113db6b (base 14) to base 4\nAnswer: 133112331303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*u**2 - 1424690*u + 1424690*u.\nAnswer: -152*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose -1 = -3*y - 5*a, -4*y + 0*y + 4*a = -12. Let j be ((-60)\/48)\/(y\/(-8)). Solve 0 = 5*p - j*f + 2*f + 6, -z*p - 3 = -3*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15*b - 6. Let d(m) = -2*m + 10. Let w(a) = -2*a + 16. Let j be w(5). Let r be d(j). Let h(i) = 3*i + 1. Calculate r*p(z) - 11*h(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 17*m + 13. Let o(n) = 2*n**3 + 5*n**2 - 2*n - 5. Let a(f) = -f**3 - 2*f**2 + f + 2. Let j(s) = m*a(s) + 6*o(s). Calculate j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180844 - -6?\nAnswer: -180837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 + -0.67. Suppose 0 = 2*q - 5*w + 28, -q + 1 = -4*w + 21. Let d = -0.09 + -2.91. Which is the second smallest value? (a) q (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18557 and 13496?\nAnswer: 148456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34709 and 11687829?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65024 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: Calculate 9 - (73 - (83 - -76)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662726630.\nAnswer: 2, 5, 66272663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4. Let q be (-3)\/(-15)*5 - -19. Let u be q\/14 - 24\/(-42). Let k(j) = -j**2. Let b(d) = u*k(d) + r(d). What is the first derivative of b(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -112.5, 5.9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12096689 by 4.\nAnswer: 12096689\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -33. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1195, 1186, 1175, 1162?\n\"Answer: -j**2 - 6*j + 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-5))\/((-26)\/10 - -2). Suppose -18 = -h*z - 3*b, b + 0*b - 4 = 0. Solve 4*m - 23 = -z*k, 0 = -3*k + 4*k - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 plus -2.6?\nAnswer: 341.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33132 and 652?\nAnswer: 5400516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-694*h - 4596*h - 64*h + 26*h)*(-h + 2*h + h) to o*h + t + n*h**2 and give n.\nAnswer: -10656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -56. Let c = o - 18. Which is smaller: 1.9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.88067 - -0.00933. Round s to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 9*d**2 - 4*d. Let g be c(5). Let l = g - 55. Let o = 128 + 97. Calculate the greatest common factor of o and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/26)\/((-25)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/180 and 9\/11?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 83. Suppose p - j = 3100003, -15500003 = -u*p - 0*j + j. What is p rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i + 4. Let p be i\/5 + (-5)\/(-225). Put p, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.339928 to 2 dps.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*12\/(-24) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 21*k**3 + 5*k**2 - 6*k - 8. Let i(b) = 40*b**3 + 9*b**2 - 11*b - 15. What is 6*i(x) - 11*o(x)?\nAnswer: 9*x**3 - x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -79. Suppose 2*k = -5*h + 33, -k - 5*h + 21 = -2*k. Let f(y) = 2*y**2 - 5*y - 9. Let s be f(5). Solve s = -j*n + k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 23*w - w**2 - 7\/3*w**3 + 1\/4*w**4 - 15. Let h be t(7). Let g(a) = a**3 - 9*a**2 - a - 5. What is g(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 13798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -254.15 to zero dps.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4768 less than or equal to -4763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3423.4 - 23375?\nAnswer: -26798.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 1, e: 2, q: 1}. What is prob of sequence uee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 8*m**2 + 6*m + 6. Let h(f) = 2*f**3 - 416 - 2*f**2 - f**4 + f**2 + 417 + 2*f. Let k(c) = 2*h(c) - w(c). Solve k(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 659239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -360745*w - 43868*w + 28 - 209556*w. Let m be t(12). What is m rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2544, 10186, 22914, 40722, 63604, 91554, 124566, 162634?\n\"Answer: -a**3 + 2549*a**2 + 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00122935 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147863813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let r = -20 - -29. What is the lowest common multiple of 6\/r - (-20)\/6 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 17 + 106 - 20 - 69. Let b(k) = 804*k**2. Calculate b(y(a)).\nAnswer: 804*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*b + 13, 2*b = 3*w - 8. Suppose 3*k - 3*l = -w*l + 4, -k + 23 = -4*l. Suppose -4*f = -35 + k. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/55154759 and -35\/45126621?\nAnswer: 496392831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 5, o: 1, e: 2, a: 10}. What is prob of picking 1 a, 2 e, and 1 n?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)*f*f)**(24\/7))**(-1\/48) assuming f is positive.\nAnswer: f**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -23284*z + 23280*z - 4, 4*z = 2*y - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v + 75 = -176 - 45 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21112221 - 1121210010?\nAnswer: -1220100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(-50))**35 assuming n is positive.\nAnswer: n**500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhihhhiiihhhh. What is prob of sequence hhih?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -41, -1, 0?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2016488, -2016532, -2016576?\n\"Answer: -44*y - 2016444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1 + (-8 - -1)). What is the remainder when 2\/k + (-10)\/(-3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*j = -0*o + 42, 2*j = 0. Calculate the remainder when 41 - 0 - 0\/4 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.20254 and -7830?\nAnswer: -1585.8882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 3 - 3)*(-4 + 1 + 2) - 4 + 1 + 2)*(-2*i + 2*i - i)*(-1658*i**2 + 1425*i**2 - 1010*i**2).\nAnswer: -2486*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-10)\/(-8). Suppose -t + 9 = 2*p. Suppose -p*g + 91 = 3*m, -g + 3*g = -3*m + 53. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k. Let a(y) = 2*y - 32. Give a(t(d)).\nAnswer: -8*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - 5*n**2 + 3*n + 11. Let j(h) = -6*h**3 + 9*h**2 - 5*h - 21. Let o(w) = -3*j(w) - 5*z(w). What is the third derivative of o(d) wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = c + 9, 21 = -4*c - 5*o - 0*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 8*g + 22 = 0, -25*l + 7*g = -24*l + 10*g - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 2*v**2 - 2*v + 1. Suppose 4*o + 4*m = -20, 3*m = -o + 5*m + 1. Let c be z(o). Let g be c\/(-4)*(-2 + -8). Sort g, -14, 4.\nAnswer: -14, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s - 0. Solve 0 = -s*i + 3 + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 18483616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 239715 and 287658.\nAnswer: 1438290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = 0, -4*c + 0*o = -4*o - 32. Suppose 0 = 4*r - 8, -3*p - c*r + 2*r + 14 = 0. Suppose -p*z = -0*z + 8. Is z at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 149. Solve -y*r - 8 = -6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12635000 to the nearest 100000.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 83380122?\nAnswer: -83380123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 3.3. Let s = -3 - m. Let b = -20460 - -20464. What is the nearest to -2 in s, b, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/14190 and 103\/2150?\nAnswer: 70950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:10 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 74*a + 2143. Let p be x(-29). Put 14, p, 0 in increasing order.\nAnswer: p, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Let i be (2\/(-5))\/((-1228)\/(-7675)). What is the nearest to 2\/5 in k, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.107mg in grams?\nAnswer: 0.506107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**2 + 28*w**2 + 21*w**2.\nAnswer: 76*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.52928 centuries in millennia?\nAnswer: 0.652928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*d - 404 + 404)*(5 - 4 + 6*d**2 - 8*d - 7*d**2).\nAnswer: -88*d**3 - 704*d**2 + 88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - (160\/2)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 49*d + 1)*(7*d**3 - 3 + 2 - 4*d**3) + (2 + 0 - 1)*(0*d - 2*d**4 + 0*d).\nAnswer: 145*d**4 - 3*d**3 - 49*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1127.5941 and -0.03?\nAnswer: 1127.5641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, t: 2, o: 1, u: 2, b: 8, y: 2}. What is prob of sequence uu?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 675 and 9150.\nAnswer: 82350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/108 + 791*r**4\/72 + 475*r**3\/27 + 118*r**2 - 3*r. What is i in b(i) = 0?\nAnswer: -2\/5, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 5. Let y(f) = 11*f - 15. What is -17*l(p) + 6*y(p)?\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + r + 26, -51 = 3*o - 2*r - 12. Let m be 12\/(-30) + o\/(-20). Factor 1\/2 + 1\/4*t - m*t**2.\nAnswer: -(t - 2)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -756 + 3025\/4. Are a and 133 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(-2*sqrt(1008) + -5) + 3)**2.\nAnswer: 2592*sqrt(7) + 36612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*v**4 + 3*v**3 - 28*v**4 - 9*v**2 - 30*v**4 + 112*v**4 - 12*v - 25*v**4 to the form s*v + o*v**4 + p*v**2 + f*v**3 + z and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -685311 + 685324.79607. Let d = 13.8 - h. What is d rounded to four decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13366 in -5, -2\/13, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22011112 (base 3) to base 8.\nAnswer: 13502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 7. Let d(x) = x**3 + 5*x**2 + 6*x + 3. What is the smallest common multiple of 4 and d(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 188484978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*(-8)\/4)\/(-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsssssqqssqq. What is prob of picking 1 s and 1 q?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76 - -94) + -2 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1161)\/920 + 42\/112 + 388\/485.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -10*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -0.210716929.\nAnswer: -4.210716929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -285a5 + 5?\nAnswer: -285a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -13, 10.39, 3\/5, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 31. Let x(o) = o**3 + 23*o**2 - 142*o - 47. Let y be x(-28). What is s(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 18 - 14. Let b(w) be the first derivative of -w**4\/4 + 2*w**3\/3 + w**2 - w + 1. List the prime factors of b(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x + 171. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/329 in -10, 1, -0.4, 4, -19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-30) + 1784\/120?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.10775, -7, 3, 12\/5, 4, -2\/3 in descending order.\nAnswer: 4, 3, 12\/5, 0.10775, -2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 11 + 4. Is 15 a factor of ((-25)\/t)\/(-5) + 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5964?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -76. Suppose 0 = -5*o + 53 + h. Suppose -8*p = -o - 3. Solve -n + p*s = 0, n - 1 = 4*s - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/100 and 59\/180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.7199761 - -5.72. What is c rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 37, 129, 267, 457, 705?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5687 (base 10) to base 11.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 688, -4, -9 in descending order.\nAnswer: 688, 18, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 99*u - 508. Give g(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-68)\/7854)\/((-1)\/(-1)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*t - 15, -g + 4*t + 4 + 0 = 0. Let y = 12 + g. Suppose -y*x - 2*j = -18, -5 = -6*j + j. Solve 0 = 2*i - 4*l - 10, -i - x*l = 4*i + 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**2))**(-3\/10))**(-3\/25) assuming z is positive.\nAnswer: z**(9\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -3*(sqrt(88)*2 + sqrt(88)))\/(sqrt(288)*1).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87.2 * -336.\nAnswer: -29299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -126458 (base 9) in base 13?\nAnswer: -29021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -111, -238, -351, -444, -511?\n\"Answer: w**3 + w**2 - 137*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 49*r**4*x**3 - 3*r*x**2 + 2*r - 21*x**3 wrt r?\nAnswer: 20*r**3 - 588*r**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 + 137. Let g(s) = -s**3 + 14*s**2 - 13*s - 5. Calculate g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*a**2 + 84551*a**3 - a**4 - 15*a + 18*a - 47*a**2 + 3*a**4 - 84553*a**3 + 1 to w*a**3 + n + q*a**4 + m*a + z*a**2 and give z.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-15)*390\/(-468). Let k be 7\/(-21) + (-10)\/24. Put -0.2, k, -5, s in ascending order.\nAnswer: -5, k, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60116)\/6441)\/((-14)\/(-72)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1324509, -5298121, -11920807, -21192567, -33113401?\nAnswer: -47683309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-2*c**3 - 49691*c**2 - 117*c**4 + 49691*c**2).\nAnswer: 234*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.41 - 0.41. Which is bigger: p or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269*l**2 + 170*l.\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (7 - (2 + 1))*-2. Suppose -4*g = -b*f + 21685, -f - 2*g - 2597 = -6934. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -7*u**3\/6 + u**2\/2 + 2*u. Let v be s(-1). Calculate the remainder when (1\/2)\/(4\/v) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1797164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -815135 + -5?\nAnswer: -815140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 5*t - 3. Suppose -12 + 54 = 7*w. Let x be s(w). Suppose 33 = 4*b - v, -x*b = -v - 24 - 2. Solve -3*g - b = 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:28 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/6 + 609*f**3\/2 + 661*f**2 + 4*f - 113. What is the first derivative of t(i) wrt i?\nAnswer: 4*i + 1827","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 973532.2g?\nAnswer: 973532200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66627283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.1. Let n = -76 - -103.1. Let g = n + -27.16. Which is bigger: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/30 - j**4\/8 - 2*j**3\/3 - j**2 + 274*j. Give b(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21.272g?\nAnswer: 21272000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/12 - d**2\/2 + 2*d. Let l(x) be the first derivative of y(x). Let u(r) = 7*r - 2*r + 2*r - 3*r. Calculate u(l(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1339 and 1784731.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14133, 28255, 42377, 56499, 70621, 84743?\n\"Answer: 14122*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 0*y**2 - 36 - y - y**2 - y**2 in the form i*y**2 + r*y + d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + y = 33, -5*u - 3*y + 20 = -6*y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4636 and 6344?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - b**5 + 21 + (3 + 2*b**2 - 3)*(-2*b**3 + 3 - 3).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 53440 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3706 + 7415 - 3709 + 5*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 10:43 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 8}. What is prob of sequence exe?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*2)\/((-34640)\/(-1080) - 32). Solve j = -9*l + 45 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -583, -2258, -5049, -8956?\n\"Answer: -558*h**2 - h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2)\/11 + (-70)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, -1, 5 in decreasing order.\nAnswer: 22, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -259, -378, -531, -748?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -573 + 573.4. What is the biggest value in x, -3, -2\/9, -0.054?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*d - 100*d + 4*q - 3500, 2*d + q = -d - 0*q - 170 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 36 + 1 = -5*g, g = 4*k + 19. Suppose 0 = -2*a + g + 5. Suppose a*v = 70293 + 13707. Round v to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5\/2 (c) -1737 (d) -0.04 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(27\/6))\/((-4)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 10:09 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 102. Suppose 5*k - 85 = -3*o, k - 4*k + z = -2*o. What is the greatest common divisor of 153 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10470.04554 - -10470. Round n to 4 dps.\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (6 - 2)) + -5 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263 - -318. Solve 5*u = -6*u + t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, j: 3, g: 1}. What is prob of picking 1 j, 2 d, and 1 g?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 31 - -65 - 66\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*a + 588 = -44*a. Let r = 6961\/5 - 1385. Find z, given that -3*z - a*z**3 - 2\/5 - r*z**2 - 12\/5*z**4 = 0.\nAnswer: -1, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.214 - -0.016. Let t = -0.33 + s. Suppose 0 = -3*f - 1 - 11. What is the closest to 1 in -3, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -653b - 67?\nAnswer: -65a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 84*k**2 - k. Suppose -7*v + 35 = -119. What is the remainder when m(-1) is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*z - 8, -3 = 4*b - 3*z - 12. Suppose -2 = -b*l + 13. Calculate the greatest common divisor of 55 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 4, -36 in descending order.\nAnswer: 4, -1\/2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 5. Let g(i) = -3*i**2 + 10. What is 3*g(l) + 5*z(l)?\nAnswer: -4*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -552*s + 102640 - 89944 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665419 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, s: 2, u: 1, k: 3, c: 1, l: 1}. Give prob of picking 1 c, 2 g, and 1 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 2*t**4\/3 - 19*t**3\/6 - 3*t. Find the second derivative of p(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 39*z - 6. Let m be b(-4). Let i be -1 + (-11)\/(22\/(-468)). Let w = m + i. What are the prime factors of w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p + 1368 = 2493 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 23*g**4\/4 - g**3\/3 - 59*g + 105. What is the first derivative of i(w) wrt w?\nAnswer: 69*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79\/5 + -15. Let r = 0 + -5. What is the smallest value in h, 4, r, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446527121.\nAnswer: 3, 13, 37090439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c936a + -5?\nAnswer: 3c9365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by ((-630)\/75)\/(6\/(-20)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21423.\nAnswer: 3, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110198745 to the nearest integer?\nAnswer: 10498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2972)\/(-27) - (-8)\/(-108). Let q be ((-22)\/v)\/((-4)\/5). Suppose 0 - q*j**5 + 1\/4*j + 1\/2*j**2 + 0*j**3 - 1\/2*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -10 + 66. Let z = 48 + t. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -187648, -375296, -563160, -751348, -939968?\n\"Answer: -18*y**3 - 187522*y - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 894737336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38817831 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/222 and 15028\/19656 + (-12)\/14?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = x - 467, -3*x + 827 = 3*z - 634. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i - i - 2*i + 4*i. Let b(j) = -8*j. Calculate k(b(q)).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 11\/5, -14\/13, 2\/81.\nAnswer: -74, -14\/13, 2\/81, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 8. Let v = g + -3. Solve 5*z = 5, 0 = 4*f - v*z + 2*z + 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvgx when four letters picked without replacement from {g: 3, x: 2, v: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by ((-24)\/(-28)*105\/3)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5\/13 + 192*w**4\/13 - 376*w**3\/13 = 0.\nAnswer: 0, 2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -305, -468, -629, -788, -945, -1100?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 9) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 13*y = -3. Let r(s) = -s**3 + 2*s**2 + 3*s + 1. Let g be r(y). Solve g - 11 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(3 - 5)*(-20)\/(-14). Suppose -w - 5*y = -y + 26, -o = 5*y. Let j = 42 + w. Calculate the remainder when 190 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 + 3*y**4 - 4*y**4 + (0 - 5 + 3)*(-67 + 67 - 13*y**4) to d + s*y**3 + u*y**4 + m*y + o*y**2 and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 894\/3874*884\/60\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*c + 11. Let t(m) = -2*m + 13. Let p be t(c). Let z(g) = -g**3 + 7*g**2 - 3*g + 4. Give z(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 6. Let p(a) = 2*a - 6 + 3 - a. Let o(d) = -2*f(d) - 5*p(d). List the prime factors of o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 760 - 705. Are r and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/418 + (-96)\/44\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010714602 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2691 = -143*v + 169*v - 143*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + 554.\nAnswer: 553.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 12*d**2 + 16*d - 39. Suppose 0 = 10*u - 7*u - 39. Let t be x(u). Determine z, given that t + z - 1\/2*z**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7691434243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 13. Give m(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008580873 to 5 decimal places.\nAnswer: 0.00858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 11*k)*(2 + 2 - 2)*(-1 - 3 + 3) + 13 - 11 + 2*k + 69 to the form m + n*k and give m.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -1\/3 (b) -0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(85) + sqrt(85))\/sqrt(5) - ((sqrt(612) - sqrt(17))*3)**2) + -5 - (sqrt(68) + -1 + 1 - (sqrt(68) + 2)*-2)**2.\nAnswer: -4458 - 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3397, 3, -6 in decreasing order.\nAnswer: 3, -6, -3397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, 5, 8\/5, -30, -0.027, -0.2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 9 = w, -2*s + 11 = 3*w - 6*s. Let i = -522 - -521.9. Which is the closest to -2\/5? (a) w (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*h**3 + h**3 + 11*h**3 - 4*h**3 - h + h + (-3 + 3 + 2*h**2)*(2*h + 0*h + 2*h).\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 183615?\nAnswer: 11\/183615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 14*v**2 - 15*v + 29. Let i be g(13). Suppose 2*l = 2*d - 6, 4*l = 1 + 3. Suppose 0*b - d*b = 0. Solve 0 = -i*f - b*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*g - 288*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/(-3402)*(-14)\/18.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 0.4, -11, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(204)\/(sqrt(300)*-2))**2.\nAnswer: -51\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*b**3 + 196*b**3 - 156*b**3 - 13*b**2 + 13*b**2.\nAnswer: -149*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 551104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 6:07 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0.2. Let r = -6\/85 - -52\/255. Suppose -22 = -2*m - 5*s, -2*s + 3*s = m + 3. Which is the closest to m? (a) g (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - s**3 + 0*s**3 + 10*s**3 - 8*s**3 - s**3 + (0*s + s + s)*(s**2 + 2*s**2 - s**2) + 0*s**3 - 5*s**3 + 3*s**3 + 15*s**2 + 6*s**3 - 15*s**2.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {y: 5, t: 3, w: 1, a: 1, m: 1, z: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 550925396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 2\/13 (b) -2\/5 (c) -0.1 (d) -416 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -674228 or -674225?\nAnswer: -674228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*k**4 + 10*k**3 - 321 wrt k?\nAnswer: 368*k**3 + 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -8. Suppose k*j - 6 = 8. Suppose -4*q - 2*o + 3 = -15, -5*q + 27 = -j*o. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1030 + -987. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3) + 0)*-9. Suppose -3*w - n = -r, -3*w - 4*n = -0*n - 12. Suppose c + 5*j - 25 = -c, 4*c - 10 = -2*j. Solve 3*k - 6 + w = c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 23*w**3\/3 + 3*w**2\/2 - w - 1. Suppose -u = 4*h - 16, -3*h = u - 14 + 1. Is s(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179*g*u**2 + 9*g + 9 wrt u.\nAnswer: 358*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w**2 - 5*w**2 - 9*w**2)*(-4 + 4 - 2*w)*(6 - 40 + 3).\nAnswer: 248*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 975 - 971. Let c(s) be the first derivative of -x*s**2 + 0*s**4 + 0*s**3 + 9\/5*s**5 - 8 + 0*s. Find the second derivative of c(j) wrt j.\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -522*i - 55. Is s(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**8\/84 - 10*l**7\/21 + 83*l**6\/30 - 31*l**5\/15 - 41*l**4\/3 + 112*l**3\/3 - l**2 - 857*l. Let w(m) = 0. Calculate m.\nAnswer: -28, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 3*h + 2. Let d be s(4). Let b = d - 4. Solve b*p = -0*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 10. Solve 10*y + u = 15*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*a**3 + 716*a**3 - 4*a + 4*a.\nAnswer: 186*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 138*c**3 + 1374*c**2 + 2390*c - 3900 = 0. Calculate c.\nAnswer: -5, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (-1 + (-1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkjjjjkkjjj. What is prob of sequence kkj?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -30, 3, -6, 0 in decreasing order.\nAnswer: 5, 3, 0, -1, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1240 - 13?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 20*h**5 + 18*h**4 - 6*h**3 - 4*h**2 = 0.\nAnswer: -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1420)\/(-30) - (-6)\/9 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (8 - -7) + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665030 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidzizbizbdibzddibb. What is prob of picking 1 z and 2 b?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -43945*a + 38 + 87869*a - 43943*a. Let s(m) = -m + 1. Determine 3*p(j) - 114*s(j).\nAnswer: 57*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41*432.4\nAnswer: -17728.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 57*x**2 - 264*x + 276 = 0 for x.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**2*z + w**2 + 180*w*z + 2*w wrt w?\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89187?\nAnswer: 3, 7, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from jjkgjjxdxxjddxjdjdx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110456 divided by 27614.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 8.07. Let c = 164 + -156.3. Let r = k + c. What is the biggest value in -0.1, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (-63)\/14)\/((-2)\/(-24)). Let m(h) = 8 + h**2 + 5*h - 3*h + 6*h. Determine m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986765 is divided by 505.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*r + 5, 52*r - 5 = -5*h + 42*r. Suppose -3*y - 6 = y - 2*b, 0 = 4*y + 5*b + 13. Put 64, y, h in decreasing order.\nAnswer: 64, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1086 - -1082.63. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -3*c**7 + 3*c**5\/20 - 529*c**3\/3 + c - 348. Find the second derivative of z(x) wrt x.\nAnswer: -2520*x**3 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 9. Let q be k(-9). Let l = q + 0. Suppose 0 = -l*c - 4*c + 44. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1053)*-2)**2 + -1 - sqrt(1053)) + -1 + -5 + -3*(sqrt(1053) - (-1 + sqrt(1053))**2) + -4.\nAnswer: -90*sqrt(13) + 7367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1001111 (base 2) to base 13\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 214326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -303332 (base 5) to base 15\nAnswer: -2db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -82124 - 6*b + 82100 + b. Give u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 600*q.\nAnswer: -q*(q + 600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20013457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5694\/(-108) + 4\/18 - -4. Is n >= -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j. Let u be (10*-1 - 2)*1. Let b = -11 - u. Calculate z(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {h: 2, q: 3, r: 3, d: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f - 2*f + 6*f)*(-f - 5 + 5)*(3*f + f - 2*f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 - w + 3 - w + 0*w)*(w - 5*w + 2*w) as x + a*w + d*w**3 + n*w**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 724*g + 2 - 622*g + 1399*g. Let x be (2*-1)\/(-1 - -2). Let l be q(x). What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.05. Let g = 1.65 + -1.3. Let w = s + g. What is the third biggest value in 2, w, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*g - 2 = 0, 155*w - 152*w - 2 = 4*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 67 and -15252 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 11.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -97 - 244*f + 27 - 30. What is the units digit of l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/88 (b) 11.53 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -71, 8 in ascending order.\nAnswer: -71, -14, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 192\/(-160) - 59\/(-45). What is the fourth smallest value in g, -1, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55ca (base 16) in base 5?\nAnswer: 1200322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 322461109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2320 - -102?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -546*l + 1105. Give u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/3 of a year in months?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 - -127. What is the common denominator of c*(60\/(-140) - (-886)\/336) and -73\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 389\/168 + -46\/21. Factor 0*t + 0 + 0*t**2 + 1\/4*t**4 - 1\/8*t**3 - q*t**5.\nAnswer: -t**3*(t - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*h = 158, -3*d + 4*h + 121 = 6*h. Suppose d*y = -6*y + 86. Find m, given that -33\/2*m**4 - 141\/2*m**y - 63*m**3 + 6 - 18*m = 0.\nAnswer: -2, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10374314933.99997 + -10373483900. Let w = -831026 + s. Let g = w + -8. Round g to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.83\nAnswer: 0.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(35\/25))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(75))**2 - (sqrt(180)*2 + sqrt(5)).\nAnswer: -13*sqrt(5) + 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-456*d**2 - 532*d**2 + 208*d**2)*(3 - 3 + 4) to h*d**2 + l + t*d and give h.\nAnswer: -3120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffrffrffffrffff. What is prob of sequence fff?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 9. Let q(k) be the first derivative of -3*k**2\/2 - 14*k - 1. Let s be (1 - -1)*78\/12. Let u = s - 5. Calculate u*j(f) + 5*q(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152723?\nAnswer: 152723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 633151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/12 - ((-6)\/12)\/(1\/36).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/4 - 14847*s**2\/4 + 4601628*s - 22915440.\nAnswer: 3*(s - 2472)**2*(s - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 22*d**2 - 3748*d + 75767. Give g(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (10 - 1) + -3. Solve 0 = w*v - 34 + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 31314*z + 93837. Give i(-3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/20*(-430)\/258?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 52\/32)\/(-3). Let l = -1.1 + 1. Let z(o) = o**3 - 4*o**2 + 3*o + 1. Let s be z(3). Which is the nearest to s? (a) l (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -15191014869943206*g**2\/5 + 201269404*g\/5 - 2\/15 = 0.\nAnswer: 1\/150952053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9510000 rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 11*y + 4*s = 0, 14 = -2*y - 5*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2185198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 749491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 11 = 4*b + u, 4*b + 4*u = 24. Suppose -4*k - 6 = 10, 0 = -4*x - k - 24. Sort x, b, 5 in increasing order.\nAnswer: x, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 divided by -240?\nAnswer: -877\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*n - 3*z = 198*n, 0 = -n - 4*z + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10899 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44609 + 44605. Which is the nearest to -22? (a) 2 (b) u (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278783.1 months in years?\nAnswer: 23231.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 + 1. Let k(y) = -3*y**3 - 5*y**2 - 4. Calculate 11*f(p) + 4*k(p).\nAnswer: -p**3 + 2*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = s, -7*z - 28 = -2*s - 2*z. Solve g = 3*g - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h + h + 40*h. Let q(p) = -2*p + 2. Let w(l) = 2*l - 3. Suppose -2 + 5 = k. Let f(u) = k*q(u) + 2*w(u). Give f(b(s)).\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 3*f**2 + 12*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*g - 885, 8*m = 12*m - 5*g - 3562. Calculate the remainder when 894 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -v + 15, -3*v + 423 - 330 = -3*r for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, -35, -10, 21 in descending order.\nAnswer: 21, 3, 1\/4, -10, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3293, -6599, -9905, -13211, -16517?\n\"Answer: -3306*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 9. Let w be u(-15). Is w less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4) - (-95222)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let a(j) = -j**2 - 10*j + 13. Let q be a(-11). Let z(i) = 11*i**q - 39*i**2 + 10*i**2. Calculate z(l(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.8 + -10. Let t = 3\/74 + 99\/296. What is the closest to 0.1 in 2, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -118*b**2 - 5*b + 5. Let j(q) = 119*q**2 + 6*q - 8. What is 2*j(y) + 3*l(y)?\nAnswer: -116*y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose -x - 4*k - 18 = -2*x, -2*k - 2 = -4*x. Sort w, x, 3 in decreasing order.\nAnswer: 3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2661185326.\nAnswer: 2, 311, 4278433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 28 = -4*r - 18. Sort -5, -1, 1, -16, r in decreasing order.\nAnswer: r, 1, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 66929583.\nAnswer: 13\/66929583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 21. Let a be f(-3). Does 80 divide (a + 24)*(3 + 8\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123 by -416.\nAnswer: 123\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - y - 80. Let v = y - 18. Let c be 2 + (-16)\/(-64)*(0 - 13). What is the closest to v in c, 2\/7, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.1 + 35.4734. Let j = 0.0334 - r. Put 4, -1\/10, j in descending order.\nAnswer: 4, -1\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/10 - 32*g**4\/5 - 27*g**3 + 5104*g**2 + 934351*g\/10 + 1170672\/5 = 0.\nAnswer: -32, -29, -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r. Let z(x) = 1664*x. Determine z(d(w)).\nAnswer: 6656*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaai when four letters picked without replacement from {a: 7, i: 1, m: 4, g: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let v = 67.9 + -67.6. What is the closest to 2 in 4, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1810188989\/24 + 75436471. Let t = 11926 - h. Let i = -2623\/2 - -1285. Calculate the common denominator of t and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -341, 1.\nAnswer: -341, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, 0.2, -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1927 in -2\/3, 2, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -27. Let b = h - -8. Let c(t) be the first derivative of t**2\/2 + 4*t - 94583. Calculate c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:05 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.14876859 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 11*l = l. What is the closest to -0.1 in 6, 1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10. Let l be (-5 + 3 + 2)*o. What is the second derivative of 2*c + 0*c**2 + l*c**2 + 2*c + 5*c**3 wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405 (base 15) to base 12.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3596631 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.1. Suppose 4*w = -4*u - 0*w - 32, 5*u - w + 16 = 0. Let v = 6 + u. Do v and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9411*r**3*t - 14*r**3 + r**2*t**3 + r**2 + 114*r wrt t.\nAnswer: -9411*r**3 + 3*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10100000110001011?\nAnswer: -10100000110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63742816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 715685832 and 6788348?\nAnswer: 5009800824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(1584) - (6*-1*sqrt(1584) + sqrt(1584))**2)*-5.\nAnswer: -60*sqrt(11) + 198004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + i = -6, 6*i - 3*i = -f - 2. Let o be f*(-4 - -1 - 3). Put -0.16, o, 0.3, 1\/5 in descending order.\nAnswer: 0.3, 1\/5, -0.16, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-2 - (5 - 6)). Let h(a) = a**3 + 6*a**2 + 6*a + 1. Give h(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11848.61256 to the nearest 10.\nAnswer: -11850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:29 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -13. Let k = -5 - -6. Which is the closest to k? (a) l (b) 3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b - 97. Let d(k) = k**3 + 19*k**2 - 23*k - 53. Let c be d(-20). Let h be y(c). Let f = -32 + -22. Are h and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 0 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*v - 3137 + 6721 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26658787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/17 + 2678*s**2\/17 - 16140*s\/17.\nAnswer: 2*s*(s - 6)*(s + 1345)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46284 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 8368*u + 0 + 4 - 22 - 5.\nAnswer: -8368*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*-1*(-16)\/(-2). Let i = -53 + h. Let t be 2\/7 - 99\/i. Solve 4*o - t*p + 5 = 0, -3*p + 3 = 2*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.6280015004 - -3\nAnswer: -9.6280015004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/80)\/(3\/10). What is the smallest value in 4, -124, -2\/5, m?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-24))\/(-2 + 6\/4). What is the closest to 1\/4 in -1\/10, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (105\/(-9) + 11)*1383. Let h be (0 - -4637)\/(10\/(-2)). Let u = h - b. Find the common denominator of u and -107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100448, 200898, 301350, 401804, 502260, 602718, 703178?\nAnswer: 803640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 55*d = -59*d + 19, 0 = 4*s - 2*d + 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1456 and 1872.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23246133 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from gzaaaaazagag.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1405471.\nAnswer: 1405473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46155 and 68961?\nAnswer: 5861685","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-3*1*sqrt(252) - sqrt(252)) - (sqrt(847) + (0 + (1*sqrt(847) - sqrt(847)) - sqrt(847) - sqrt(847)) + -3))*2)**2 + -3.\nAnswer: 3144*sqrt(7) + 480541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o, -5*k + o = -13 - 4. Suppose -4*u - k = -11, 4*u + 58 = 2*y. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219633, -878514, -1976645, -3514026, -5490657?\nAnswer: -7906538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6968249 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 2*k**2 - 5*k. Let u be c(4). Let y = u - 7. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 441981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6356.527t?\nAnswer: 6356527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 3*r - 4. Let a be q(4). Let j be a*4\/(-16) + 8. Let y be -10 + j - (-12)\/2. Solve 0*t + y = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*n + 20. Let o(t) = t**3 - 11*t**2 + 1. Let r be o(n). Let q be (r\/3)\/((-2)\/(-18)). Solve -q*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 7*v**5\/60 + 5*v**2. Let k(i) = -2 - 265*i**2 + 2 + 273*i**2. Calculate z(k(g)).\nAnswer: 448*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-504)\/5670) - 132\/(-8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46008.48ml in litres?\nAnswer: 46.00848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5673 - -12630. Suppose 2*z - u = 3*y, -2*y - 4988 = -2*z + 1970. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42912022.\nAnswer: 2, 43, 498977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/((x\/(x*x**(3\/4)))\/x))\/((x\/(x\/x**(1\/9)))\/x*x**(-2)) assuming x is positive.\nAnswer: x**(419\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7943999.\nAnswer: 7, 29, 39133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13539.43 + 13652. Let t = -113 + z. Let g = t + 0.42828. Round g to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1119 by -4.\nAnswer: -1119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -628 - -632.117. Let r = q + -0.117. Put r, -3, -1\/2 in descending order.\nAnswer: r, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5945490.9ms in hours?\nAnswer: 1.65152525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/75371 and -5\/161?\nAnswer: 527597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, d: 4, i: 1, z: 3, g: 5, w: 1}. What is prob of picking 1 z and 1 m?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**9\/h))**4\/((((h*h*h**(-5))\/h)\/h)\/h*h*h\/h**(-18\/11)) assuming h is positive.\nAnswer: h**(-282\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:49 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*b + 58*b - 13*b + 161 - 2*b**2 as n*b + q + i*b**2 and give q.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -6*s, -5*o = -3*s - 16. Suppose o = -3*m + 14. Suppose 6*z - 24 = -12. Solve z*v = m*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2133.2436 months?\nAnswer: 0.1777703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(291\/3492) - 25*1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + 3*a**2 - 3*a + 32. Let k be m(0). Calculate the greatest common factor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.2 - 18.3. Let k = -2.4 - 0.6. Which is the third smallest value? (a) k (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((24 - (-5 + 4 - -5)) + (-21 - -9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.498857747 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 22021012?\nAnswer: 22021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 72111*g - 3033954.\nAnswer: 3*(g - 24079)*(g + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70010 and 24195456.\nAnswer: 120977280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6963964728 to the nearest integer?\nAnswer: 83450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -746?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 take away 22974047.2?\nAnswer: -22974047.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 4, n: 1, x: 11}. Give prob of picking 1 z and 1 x.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5361 + 5?\nAnswer: -5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3\/5 - 399*b**2 + 170196*b\/5 - 3598356\/5 = 0?\nAnswer: 34, 62, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244\/15 + -28\/5. What is the common denominator of n and ((-1092)\/(-336))\/(2\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 948634520*a**4 - 359637852*a**2 wrt a?\nAnswer: 22767228480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 578.3 + -386. What is o rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + -5 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0139319724 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 6*b + 48*b**2 + 50*b**2 - 19*b**5 - 100*b**2 wrt b?\nAnswer: -380*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + -3 + 6 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 1082*r - 7617. Let l be c(7). Suppose y - 3*s = -0*y + 2, 0 = 2*s. Solve -l + y = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 308 + -204. Let j = 150 - s. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791466 to the power of 1\/2, to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15604106?\nAnswer: 2, 7, 367, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 15*x**2 + 6*x**2 - 6*x + 2*x**2.\nAnswer: 29*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g, -9*g + 5*g - 1308 = -2*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 139*a + 87*a + 47*a = 89, 2 = -4*a - 2 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199 and 0.05.\nAnswer: -9.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1122\/226 - 5)*((-105)\/(-30) - 4).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 10:00 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/238 and -85\/8.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*q**6 + 2*q**5 - 14*q**4 + 18*q**2 - 4*q - 24 wrt q.\nAnswer: -5520*q**3 + 120*q**2 - 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(475)*-4 + -3.\nAnswer: -20*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:10 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - d**5 + 2*d**5 + (2 - 2 + d**4)*(-2 + 2 - d) + 2*d**5 - 6*d**5 + 0*d**5 + (-d**2 + 2 - 2)*(0*d**3 + d**3 + 0*d**3).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 4*i - 8*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r - 5. Let b(z) = 1 - 7*z + 7*z - z. Determine -22*b(l) - 4*p(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*42\/(-28). Let z = 1 - i. Let d = -7 + 11. What is the second smallest value in z, 0.4, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -2\/62903, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*t + 25*t - 11*t - 11 to y + b*t and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32, 58, 94, 140, 196?\n\"Answer: 5*l**2 + 11*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 - g**2 - 9*g**3 - 2*g**3 + 2 + 11*g. Let d(b) = 56*b**3 + 26*b**2 - 56*b - 10. Let h = -2 + 18. Let u(p) = h*s(p) + 3*d(p). Factor u(i).\nAnswer: -2*(i - 1)*(i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 + 57\/4. Let r be 737\/7 - (-12)\/(-42). What is the greatest common factor of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4a213 + -1?\nAnswer: -c4a214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*a = 1265, 40*g - 2*a = 39*g - 252. Put -0.4, 5, g in increasing order.\nAnswer: g, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 - 5535*k**4 - 82800*k**3.\nAnswer: -k**3*(k + 15)*(k + 5520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -44, -4, 74, 202, 392, 656, 1006?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3102 = 4*j, -3*j = -8*v + 5*v + 9336. Let s(h) = h - 3130*h**2 + v*h**2 - h. Let l(o) = -4*o. Give l(s(d)).\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {j: 1, b: 1, t: 1, n: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6*g - 23 = 2*g, -5 = -g. Let f = 4 - r. Solve -o = -0*o + f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let q = -1 + h. Suppose 2*j - 16 = -q*j. Solve -4*p + j*b + 2 = 6, -4*p = 5*b - 32 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 - 488*z - 26 + 74*z)*(-4 + 5 - 2) as b + j*z and give j.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 104, 169, 238, 311?\n\"Answer: 2*i**2 + 55*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2)*-6 + 4 - (2*sqrt(432) + -5)**2) + -1.\nAnswer: -1750 + 234*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19 - -545)*2\/(-2). Let l be (-12)\/(-8)*(-40)\/b. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25 + (2 - 1)*-3. Let k be 4 - (108\/162 + (-194)\/(-6)). Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 3}. What is prob of picking 3 y and 1 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a factor of 21901762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410066 (base 9) in base 11?\nAnswer: 156483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.068 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1083280 divided by -20\nAnswer: 54164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 11449635*x\/2 + 131094141633225\/4.\nAnswer: (x + 11449635)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 6. Let k be i\/(2\/(-5200)*14\/(-105000)). Round k to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) - sqrt(84)*-2 - sqrt(84)))\/sqrt(7) - (5 + ((sqrt(72)*-1 - sqrt(72))\/sqrt(6))**2).\nAnswer: -53 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 10, 4, 1 in descending order.\nAnswer: 10, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(75))**2*-5 + 2 + -2)*6*-3.\nAnswer: 6750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 19 = o + 17, -4 = -v - 2*o. Solve 22*n + 6*n + 168 = v for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-49)\/980).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*u - 2*u + 16, -5*c = -4*u + 32. Suppose 56 = 3*q + 4*v, 28 = 4*q + 4*v - u*v. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 13*z + 7. Let w(n) = 5*n - 65. Let s be w(12). What are the prime factors of m(s)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4302 divided by -1434\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*h + 1 = 0, 5*r - 15 = 2*h + 3*h. Let m = 0.163 - 0.833. Let a = m + 0.17. Put 3\/4, a, r in decreasing order.\nAnswer: r, 3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(2*d + 0*d - d) - 2*d - d + 2*d + 388*d - 71 + 65 - 518*d.\nAnswer: -133*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + -1 - (99 + -92).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/9393101 and -6\/7.\nAnswer: 65751707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 3:54 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 57 = 6*d. Suppose 0 = -0*a - 4*a - 4*c - d, -a - 15 = 5*c. Sort -4, a, -6 in decreasing order.\nAnswer: -4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 63782.29\nAnswer: 19134.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = s - 20, 0 = 2*s - 23675973 + 23675981 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7336 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*2\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5 + 10. Let c = -15 - -17. Suppose 3*n - 8 + c = 0. Solve -y*p = -5 + n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 * 643\nAnswer: -69444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-400)\/25)*6\/(-378)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u**2 + 18*u + 9. Let d(i) = 4*i**2 - 4*i - 2. Let o(r) = -9*d(r) - 2*t(r). Let q(h) = -h - 183. What is o(q(l))?\nAnswer: 4*l**2 + 1464*l + 133956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-605)\/(-110) + 1\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3131 - 3125. Let o(k) = -6 - 4*k**3 + 6*k - 5*k + 5*k**3 + 0 - 6*k**2. Calculate o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180 + -178. Suppose -u*y + y + 3 = 0. Solve 0 = 2*b - 0*b + 6, -5*k - y*b + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (10 - 6) + 3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 26\/((1 - 0)\/((-4)\/(-8)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c85 + 1?\nAnswer: -4c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-7 - -10))*(-4)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -21. What is the common denominator of (-221)\/26*(-2 - -3) and (-3)\/n*1210\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -654 + 186*d + 2593 + 71 + 23*d wrt d?\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(252) - (-2 + sqrt(252))) + -3 - (0 + sqrt(252) + sqrt(252) + 0))**2 + 4*(2*sqrt(252) + sqrt(252) + sqrt(252) + 3)).\nAnswer: 240*sqrt(7) + 2042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/360)\/((-3)\/12). Suppose 4*i - 25 = -9. What is the fourth biggest value in 0.4, -37, i, o?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*g + 995*g + 16772 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 53 in decreasing order.\nAnswer: 53, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5)\/15*9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11719270915468 and -0.1.\nAnswer: 11719270915467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 53284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -724\/7491 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 17649194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193600238 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-69)\/(-21))*(11 + -18). Let x = 36 - d. What is the least common multiple of 27 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1024944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**5*u)\/(u**(-2\/7)*u))\/((u**6\/u)\/(u\/u**(-3\/2))))\/((u*u\/u**3*u*u\/u**(1\/6))\/(u**(1\/4)*u*u\/(u**(3\/5)\/u*u))) assuming u is positive.\nAnswer: u**(-2267\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -68.95. Let f = -987 - -985. What is the fourth biggest value in 5, f, 0.2, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -716032?\nAnswer: -716033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*v + 380*v - 182*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 106\/(-328) + 2\/8. Let v = -144\/287 - p. Let c = -3 + 2. What is the third smallest value in 2\/5, c, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(171) - sqrt(171))*-6)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -22*c**4\/21 + c**3\/7 + 13*c + 19. Factor z(h).\nAnswer: -2*h*(44*h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/58440 and -157\/14610.\nAnswer: 58440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/24)\/(1328\/(-26560)) - (165\/126 + 0)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15651 and 4418133.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 35752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:45 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/31, -3\/2, -1503, -0.5 in descending order.\nAnswer: 5\/31, -0.5, -3\/2, -1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*-7*3\/(-3). Let d(r) = r**3 + r. Let m(z) = 3*z**3 - 6*z**2 + 15*z + 8. Let t(v) = 4*d(v) - m(v). Let j be t(a). Solve s - j = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -486, -1833, -3858, -6381, -9222, -12201, -15138, -17853?\n\"Answer: 30*z**3 - 519*z**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:53 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 557\/2 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -61246344 at most as big as -61246341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 397759 + 22.317?\nAnswer: 397781.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2 - (-14 + 16)) + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5063 > -5063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(sqrt(833) + (sqrt(833) + sqrt(833) + 1 - sqrt(833))) + sqrt(833))*-6)**2.\nAnswer: -1620216 - 18144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -37. Let n = -102 - -101.4. Which is the closest to o? (a) 1\/8 (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -85 (c) -10\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 9*a**2 + 8*a - 10. Let k be x(-10). Let r = 21 - k. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let a(i) = 3*i - 4. Let r(u) = a(u) - 5*d(u). What is the remainder when 378\/(-12)*(9 - 75\/7) is divided by r(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44650478365 less than 29?\nAnswer: 44650478394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, 37, 0, 4666, 181.\nAnswer: -4, -3, 0, 1, 37, 181, 4666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -66. Let n be 0 - (1 + -1)*(-1)\/(-3). Let r(b) = b**2 + 2. Let v be r(2). Solve u = -n*t - 2*t - v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 14*k**2 - 34*k + 30. Let p be (2\/(-4))\/(4\/(-91 - -3)). Let y be m(p). Solve 0*a = a - 2*x - 10, 4*a - x = y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q + 5*q - 21 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxltpwe. Give prob of sequence ex.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7.442 (b) 1\/3 (c) 0.3 (d) -1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/4 + -2 + 3. Suppose -s - d*s = 0. Solve -z = s, -3*t - 2*z = -5*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 - 6. Let g(c) = -6*c**2 + 5. Let w(b) = 5*f(b) + 6*g(b). Suppose -2*a + 2 + 2 = 0. Let h(m) = -m**2 - 3*m**2 + 4*m**a + m**2. Give h(w(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 120853 (b) -0.1 (c) 4 (d) 1 (e) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56187.765ms in hours?\nAnswer: 0.0156077125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -628.6659019 minus -0.1?\nAnswer: -628.5659019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 96\/5 - 4\/5*r**3 - 112\/5*r + 8*r**2 = 0?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -9*k - 7. Let x = -5 - k. What are the prime factors of (-1)\/(4\/(-100)) - x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 349.0591 + -0.0591. Let v = i + -349.1294. Let l = v - -0.089. What is l rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/4784*48\/((-24)\/(-12))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 223200?\nAnswer: 223130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/18)\/((-1)\/(-42)). Let q = 57 - 82. Let a = q + h. Put -5, 5, a in decreasing order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(168)\/sqrt(7)))**2*4 + 2*(0 + sqrt(245) - sqrt(245) - (-3 + sqrt(15)\/sqrt(3) + sqrt(5))**2).\nAnswer: -53 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 58\/4*-2. Calculate the highest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 25*v**2 - 2*v + 56. Let a be s(25). Suppose -167 = a*b - 3695. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/13286 and 9\/7.\nAnswer: 13286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*i - 2 = -2*i, 3*i + 3 = 4*o. Let z = -8 + o. Suppose 4*j + 11 = b, 4*b - 15 = 3*j + b. Put z, 0, j in descending order.\nAnswer: 0, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074.45 plus -613?\nAnswer: 2461.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2322573315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.132697cm?\nAnswer: 0.08132697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1669 - -15853. Suppose 4*l - j = -4*x + 2670, 0 = -3*l + 4*x + 15165. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 divided by 22197.\nAnswer: -199\/22197","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 520 and 286.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 36 + 12 = 2*c, -4*c = 4*d - 108. Let o be (3\/5)\/(3\/c). Let j(r) = 5*r + 13. Is j(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5067 - -0.5\nAnswer: -5066.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*d - 1603 = 1367 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*h - 2 = 0, -6*v + 14*h + 1 = 13*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1125 + 1131. Suppose 0 = r - 3*r - m + 9, 0 = 4*r - 5*m + 3. Let t(j) = 4 + 7*j**2 - 3*j**2 - 7*j - j**3 + r*j**2. Determine t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + -2*sqrt(2736) + 1 + sqrt(2736) + -5 + 3.\nAnswer: -12*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huqvqvvqqhqqhvvhq. Give prob of sequence vuhh.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6935082, -6935083, -6935084, -6935085?\n\"Answer: -c - 6935081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 + 4*u + 5. Let q be o(-4). Suppose -m + q = 2*h, 0 = -4*h + h - m + 202. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/18594125 and 62\/5.\nAnswer: 18594125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*p - 0*l - 18, -5*l + 26 = 4*p. Let n(b) be the third derivative of 1\/60*b**5 + 0 + 0*b - 1\/2*b**3 + 1\/8*b**4 + p*b**2. What is n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, -52, 1, 11 in descending order.\nAnswer: 11, 4, 1, -2, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 6:51 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.1. Let z = -129.5 + -81.5. Let y = z - -200. Which is the smallest value? (a) 1 (b) 5\/4 (c) l (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/13)*m**(-2\/75) assuming m is positive.\nAnswer: m**(-176\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-1 + 1)\/1. Let b be (-33)\/(-15) + (-3)\/15. Suppose -b*n - 18 = -3*p, 5*n + 19 = j. Solve 4*t = -3*x - 8, -p*x = 3*t + x - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -31436.1, 3\/5, -67?\nAnswer: -31436.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 300*j**2 + 6048*j + 15552.\nAnswer: 4*(j + 3)*(j + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5310151 + -30?\nAnswer: 5310121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/11 + 100*w\/11 - 1250\/11 = 0. What is w?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4053)\/(-33775))\/((-1)\/(-3)*(-9)\/(-15)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7145 is divided by 256?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -134495, 1, 5.\nAnswer: -134495, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 281 - 412 + 373 + 361 - 2*s**2 + 287 to f + h*s + x*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5831379 to four decimal places.\nAnswer: -0.5831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4921*d - 9825. Calculate y(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*n**6 - 17*n**2 + 6*n.\nAnswer: -18840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112734089 to the nearest integer?\nAnswer: 10618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -98, -307, -712, -1379, -2374?\n\"Answer: -11*f**3 + f**2 - 5*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9*v - 18904 = -13*v, 5*v + 44181 = 7*w. List the prime factors of w.\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 0*(-3)\/12 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(294\/(-140))*(-8)\/(-90).\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -6)*(6\/(-10))\/((-729)\/(-405)). Suppose 5*p - v - 2*v - 6 = 0, 4*p - v - 9 = 0. Solve c + p = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 2?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 1, w: 1, a: 2, n: 1, i: 2}. Give prob of picking 1 h, 1 a, and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(-49)*(x\/(x**(-4\/9)*x*x*x))\/x*x*(x*x*(x\/((x\/x**(-2\/11))\/x))\/x*x)\/x assuming x is positive.\nAnswer: x**(1643\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10200002?\nAnswer: 10200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -35, 504 in ascending order.\nAnswer: -35, 153, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:12 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -3\/14*q**2 - 215 - 2\/7*q + 5\/21*q**3. Suppose h(d) = 0. Calculate d.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1) - (1 + (-10)\/5). Suppose 96 = 4*v + 3*d - 80, 5*d + 255 = c*v. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*o - 171*o + 20536. Calculate the remainder when o is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:00 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)*n**(-2\/7))\/(n\/n**(3\/5)*n**(-1)) assuming n is positive.\nAnswer: n**(169\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k)**38\/(k\/(k*k*k**(-2\/3)*k))**17 assuming k is positive.\nAnswer: k**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 2*q**2 - q + 2*q**3 - q + 2 in the form x*q + w + c*q**3 + l*q**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(2) + (sqrt(36)\/sqrt(3))\/sqrt(6) + 5 - (-1 + -4 + sqrt(8))**2).\nAnswer: -224 + 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*((5 + sqrt(1331) + 0 + sqrt(1331))*-6 + -5 + sqrt(1331) + sqrt(1331)*2 + sqrt(1331)*-2*1)*3)**2.\nAnswer: 686070*sqrt(11) + 13144356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, v: 1, q: 1, o: 7, c: 2}. What is prob of sequence vpv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*m**2 + 6)*(-6*m - 4*m + 3*m) + (-45*m - 24*m + 45*m)*(-m + 2*m**2 - 3*m**2 - 6*m).\nAnswer: 45*m**3 + 168*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 24. Let q be x(-13). Let f(l) = -1043*l**3 + l**2 + 7*l + 13. Is f(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.78 - 11.52. Let x = 12.19 + -0.19. Let s = x + c. Put -2\/11, s, 1 in ascending order.\nAnswer: s, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 434 - 22?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -h + 4*h - 14, 16 = 4*b. What is the units digit of ((-1)\/3)\/(h\/102)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 18. Let u(y) = 11*y. Let d be u(7). What is the greatest common factor of d and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -481 + 1408\/3. Let r be (18\/(-5) - 0)\/(24\/33). Let i = -34\/5 + r. What is the common denominator of i and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 0.33\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:30 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (-8)\/36*3 - (-392)\/12?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 102 + 6*a**2 - 105 + 4*a**3 - 3*a**3. Calculate t(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 + -143. Let t(p) = p**2 - 6*p - 5. Let z be t(7). Suppose -4*m + 30 = -m + 3*r, -r = -z. Is m less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330041.\nAnswer: 330041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 165 - 74 = 70. What is the highest common factor of 7329 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -208*c + 209*c, 70 = -2*i + 8*c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*c + 90 = -496 - 3632 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*j + 23 = 0, -133*l = -62*l - 66*l - 352*j - 1076 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 65 = -7*u. Let m be u + (-2 - -5) - 9. Let t be (2\/(-6) + 0)*1. Which is the second biggest value? (a) 4\/3 (b) 0.4 (c) m (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 169, 158, 143, 124?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933407 equal to 5933405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463952880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*i - 2*s, -3*i + 2*s + 2 = -2*s. Is (2436\/63)\/(i\/3 - 0) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926\/256325 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 + 223*c**4 - 2745*c**3 + 9801*c**2 + 4374*c = 0.\nAnswer: -2\/5, 0, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 - 4. Let k = 18 - 14. What is l(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -446253*u**5 - 66*u**4 - 97735692*u**2?\nAnswer: -26775180*u**2 - 1584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -412.776? (a) 2\/5 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - r**2 + 209 - 416.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24659*z + 5 - 49321*z + 24655*z + 4*z**2 - z**3 - 22 to n*z**2 + m + w*z + p*z**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*(-1 - 1). Factor -4*s**2 - s + 4*s + 2*s**2 - 2*s - l*s**3.\nAnswer: -s*(s + 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 6. Determine a so that -4 - 4 - 2*a**2 - n*a**2 + 6*a**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -14. Which is the nearest to 1? (a) -5\/6 (b) m (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 28 = -7*t. Let z be (-2)\/7 - 9\/t. Is (2 - 9)\/(z + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a9582 + 137?\nAnswer: 2a9709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20351 - -1c67?\nAnswer: -1b3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2568*z = 767*z + 10005 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-4)\/72)\/((-22)\/495*35).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z + 15*z + 12*z + 11*z**3.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**2\/4 + 95*f\/4 - 65\/2.\nAnswer: -5*(f - 2)*(3*f - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 5, z: 2, w: 1}. What is prob of sequence gazz?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2203 (base 4) to base 14.\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*f + 8 - 33 = 0, 5*f - 25 = 2*s. Let y = -12 - -13. Which is the closest to s? (a) y (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a0 - -1?\nAnswer: -119e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 21777 = 60*v. Calculate the greatest common divisor of 476 and v.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305363813 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1287433 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**3 + 14*y**2 + 14*y + 3. Let a(m) = -3*m**2 - m**3 - 1 - 5*m - 3*m**3 - 2*m**2. Let u(c) = -8*a(c) - 3*b(c). Give u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37\/7 + 2\/(-7). Let h = -11.939 + 12.97. Let l = h - 0.031. Which is the nearest to -1\/3? (a) 2 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/51 - 1960\/13566 - 520\/114.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 634, 2520, 5660, 10054, 15702, 22604?\n\"Answer: 627*d**2 + 5*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 38*j - 25*j - 8*j.\nAnswer: -77*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -64*m**5 - 6785*m + 7318. Differentiate x(c) with respect to c.\nAnswer: -1280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(10)\/sqrt(5) + sqrt(2)))\/(sqrt(11) - (sqrt(55)*-2)\/sqrt(5)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57560)\/6 + 1012\/(-276). Round j to the nearest 100.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*p + 249917, -16*i - 499843 = -18*i + p. Suppose -22*l = -13*l - i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3. Suppose 4*p = -16, -2*p = r - 0*r + 11. Sort 15, r, 3, d in ascending order.\nAnswer: r, d, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 14*c + 12*c - 35*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4787152.\nAnswer: 2, 299197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 310 + -5268\/17. Which is the closest to -2? (a) -5 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87540 is divided by 3750?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 6*c - 2. Let n be s(-5). Suppose 5*w - n*r = 468, -5*r = -5*w - 0*r + 460. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*w**3 - 289*w**3 + 135*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/17))**(41\/2)\/(((w*w*w**32)\/w)\/(w*w**(-1\/7))) assuming w is positive.\nAnswer: w**(-3538\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7006\/11 or 0.19?\nAnswer: 7006\/11","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149069898.\nAnswer: 2, 3, 1093, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = 78. Let v be i\/6 + -4 + (-116)\/(-6). Solve 5*g - 2 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277 = 148*r + 943 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/6880 and 101\/160.\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*o - 0*o + 2, 5*t = 4*o - 18. Let x = -0.2 - -0.3. Which is the third biggest value? (a) t (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38301 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 154 and 0.2.\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 81 = 22*q. Which is smaller: q or 10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -7*i**8\/72 - 107*i**7\/9 + 506*i**6\/15 + 2548*i**5\/45 - 1012*i**4\/9 + 208*i**3\/3 + i**2 - 516. Solve j(x) = 0.\nAnswer: -78, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(4\/5))*r)\/(r\/r**(1\/7)))**(2\/165) assuming r is positive.\nAnswer: r**(-46\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 5, -1, 16, -86 in descending order.\nAnswer: 16, 5, -1, -4, -23, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + sqrt(605) + -1 + 2)*1 + 1)**2.\nAnswer: -2310*sqrt(5) + 15566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0, 4, -0.1, 5\/3, -166.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2474 and -20.\nAnswer: -49480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/6 - x**3\/2 - 295*x**2. Determine k(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4834 is divided by 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let u = 3.1 + q. Let z = 0.1000001 - u. What is z rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 12*s + 4*g = 4, 15 = 5*s - 5*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 35. Suppose -m*j + 20 = -2*j + r, -j - 5*r = 0. Let i = 24 - j. Is -19 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2943302 (base 11) in base 5?\nAnswer: -2243234003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 0*a)*(3*a - a**4 - 3*a) + 19601836*a**2 - a**5 - a**5 - 19601839*a**2 + 3*a + 3*a**3.\nAnswer: -a**5 + 3*a**3 - 3*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.33 + -0.07. Put r, 5, -4 in increasing order.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 + 6*q. Let m(b) = b + 2. Let n be m(7). Suppose 2*v + n = 1. Determine y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:27 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 582072 divided by 24253?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -45.3. Let m = v + -26. Let b = -70.969 - m. Round b to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35972 - -95089. What are the prime factors of z?\nAnswer: 31, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**3\/3 + a**2 - 17*a + 19. Let y be u(0). Which is smaller: y or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 + 8*n + 1. Let f(o) = 8*o**2 - 3*o + 2. Let w be f(1). What is the least common multiple of 10 and c(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/35*11\/(1122\/(-85))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -1, 0 in decreasing order.\nAnswer: 94, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*k + 173*k - 109*k**2.\nAnswer: -109*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 8:42 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.244951cm?\nAnswer: 42.44951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 7) + (-1 - -3) + 102 + -90\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.8 + 31. Sort -5, 3, -0.3, x.\nAnswer: -5, -0.3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, -0.91, 0.1 in decreasing order.\nAnswer: 4, 0.1, -1\/4, -0.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 34 + 115*z + 43 + 536*z.\nAnswer: 651*z - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -294*p**4 - 2828*p**3\/3 + 1832*p**2\/3 - 272*p\/3.\nAnswer: -2*p*(7*p - 2)**2*(9*p + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 97\/(-33) + (-24)\/(-8). Let d(x) be the first derivative of -2\/11*x**2 + 1 + 2\/11*x + u*x**3. Suppose d(v) = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2 + -1 + 1. Suppose b + 2*b = 0. Let f(h) = h**3 - 2*h**2 - h + 5. Let g be f(b). Solve g*y - m = -9, -y + t = y - 5*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -0.02, -0.3, 3\/4, -3\/7, -18, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000742542957 to six dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243297.6kg to tonnes.\nAnswer: 243.2976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-1) + (-35 - -34). Let l(u) be the third derivative of u**5\/12 + u**4\/8 - u**2. Let c(h) = 26*h**2 + 16*h. Determine m*l(w) + 3*c(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/21, 732, -33.7 in descending order.\nAnswer: 732, 5, -2\/21, -33.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8*(-1 - 3). Let w(x) be the first derivative of -x**3\/3 - 5*x**2\/2 - 3*x + 27. Give w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) 2 (c) -0.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101000?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:52 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -476 + 721. Let c be 1\/(-4) - y\/(-20). Solve -3*x - x = c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4*s + 136 = 0. Let p = -3 - s. Let k be p + 2*(-6)\/(-3). What is the greatest common factor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-55)\/(-2) + -2)\/(54\/8). Let k = 134\/45 - g. Let v = 66 + -856\/13. What is the biggest value in k, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -181048 divided by 20\nAnswer: -45262\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from eeeeeeeeeeje?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2797 + -2780. Which is the second smallest value? (a) m (b) -1\/7 (c) -16\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -1\/3, 6, -6, 0.4 in increasing order.\nAnswer: -6, -3, -2, -1\/3, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 44 + 116 = 0. Solve -4*x = -x - 3, -4*x - g = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v - 7. Let j be l(-3). Let t = 15 - j. Which is the biggest value? (a) t (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -1 - 0)*(-25)\/1. Let m = y - -102. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 871 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 2*(0 + 1). Let f be 1\/3 + 64\/(-12). Let t = p - f. Solve -a - t*a = -20, a - 2 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2254 + 13?\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/215 - -131\/215. Let r(x) be the first derivative of -y*x**5 - 1 - 5\/3*x**3 - 7\/4*x**4 + 0*x - 1\/2*x**2. Factor r(t).\nAnswer: -t*(t + 1)**2*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -333 + 332. Let j(d) = -7*d**3 - 3*d**2 - 5*d + 5. Let v(m) = m**3 + m - 1. Determine i*j(r) - 5*v(r).\nAnswer: 2*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4*z + 3*t**4 + 39*t**3 + 2*t*z + 2*t + 845*z - 3 wrt t?\nAnswer: -24*t**2*z + 36*t**2 + 234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38052796 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-3 - y + 3)*(-6 + 7 + 15)*(-53 + 54 + 273).\nAnswer: -8768*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-148)\/16)*224\/(-4). Suppose q + 133 = 9*m. What is the remainder when m is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190232 divided by 79.\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*h - 3107 = -627, 3*h - 1977 = 4*l. Let k = l + 623. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 314.9 + -315. What is the nearest to f in 0, 3\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -189316 and -219.\nAnswer: 41460204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 90880.\nAnswer: -9088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/38, -2, -2\/7, -6\/43, -1\/1496?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*((-3 + 4 - 2)*(-433 + 759 - 618)*(n + 2 - 2) + 8 + 12*n - 8).\nAnswer: -608*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21588053 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 - 1157*x**3 - 331737*x**2 + 1704073*x + 4725854 = 0. What is x?\nAnswer: -581, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*r - 12 + 1, 0 = -3*r - g - 15. Let z be (r\/(-3) + -1)*(4 - 6). Let n(a) = -2*a**2 - 2*a + 3. Let p be n(-5). Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 109?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2538393242 take away -0.496?\nAnswer: -2538393241.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50924.\nAnswer: 2, 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o - 16. Give i(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43824530.\nAnswer: 2, 5, 4382453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2 - 2*g + 0*g + 90 - 107*g**4 - 75 wrt g?\nAnswer: -1284*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1016, 2041, 3070, 4103, 5140, 6181, 7226?\nAnswer: 8275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + h = 3*h + 257, -i - 2*h - 45 = 0. Let j(a) = -89*a**3. Let m be j(1). Let t = i - m. Solve -r + 6*r = 5*w, 0 = 4*w + 5*r - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8\/3, -3529 in descending order.\nAnswer: 8\/3, -3, -3529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/28 + 0 - 5\/42. Sort -29\/4, 0.1, y.\nAnswer: -29\/4, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-18))\/(80\/(-2400)). Let r(b) be the second derivative of 0*b**3 - 1\/105*b**6 - 25*b + 0 - 6\/7*b**4 + 6\/35*b**h + 0*b**2. Factor r(i).\nAnswer: -2*i**2*(i - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -2\/19, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ttiittttttttit?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9741 or 1?\nAnswer: 9741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 28*y**2. Let d(b) = 17*b**2. Calculate r(d(v)).\nAnswer: 8092*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -5*u**3\/6 + 4*u**2 - 11*u. Let s = 6 - 17. Let q(a) = -9*a + 15. Let v = -13 + 19. Calculate s*h(b) + v*q(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 266 - (-5 - (-288)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**4\/16 + 7*k**3\/8 + 27*k**2\/4 - 2*k + 145. Find t such that y(t) = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100010110111 (base 2) in base 12?\nAnswer: -1a75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.435872 rounded to 3 dps?\nAnswer: -46.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2 - 0) + (10 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115888833 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 24*o**2 - 63*o - 258. What is g(-26)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -5 - 2\/2. Let g(y) = -y**2 + 6*y + 3. Let b be g(6). Suppose t = b, 5*q - 2*t = r*t. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 - 7*h - 1. Suppose x + 5*x = -36. Give t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*w**4 + 0 + (-w**2 - 3*w**2 + 5*w**2)*(5*w**2 - 3*w**2 - 5*w**2) + 2*w**4 - 4*w**4 + 0*w**4 as y + o*w + v*w**2 + b*w**3 + m*w**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 24. Let f = 19 - x. What is the units digit of f*20\/(1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/(((-60)\/(-128))\/5). What is the greatest common factor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 0*y**2 + 0*y**2)*(37*y - 4 + 55*y - 177*y).\nAnswer: 170*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -49 (b) -0.6 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 1, 14\/5 in descending order.\nAnswer: 14\/5, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 8*w**3 - 5*w + 8. Differentiate c(o) with respect to o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 1, 0.07, 18?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47111?\nAnswer: 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 5, s: 6, b: 2, q: 2}. Give prob of sequence asq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5060.7215 rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 4*w**3 - 3*w**3 + 3 - 5*w. What is the units digit of c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68754955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + w)*(-4 - 4 - 1)*(8*w**2 + 9*w**2 - 13*w**2).\nAnswer: -108*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 499.040613 to 2 decimal places.\nAnswer: 499.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 72. Let m = o - 40. Let b be 81003 - -4*(0 - m\/16). What is b rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -51\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -10 + 17 + -38?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445633 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - c = 132 - 137, -2*v = 4*c + 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -22*i**3 - 16*i**2 + 26*i + 52. Let m(l) = 7*l**3 + 5*l**2 - 9*l - 17. Let v = 259 + -264. Let b(z) = v*j(z) - 16*m(z). Factor b(o).\nAnswer: -2*(o - 3)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(13\/(910\/10))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i + 43*i + 19*i + 18*i - 71*i.\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 109, 186, 283, 406, 561, 754, 991?\n\"Answer: t**3 + t**2 + 53*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -264 - -264. Sort -3\/2, -4\/15, -3\/4, f in ascending order.\nAnswer: -3\/2, -3\/4, -4\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18281821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 0.00924025595?\nAnswer: 7.00924025595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*o**3 + o**2 + 575*o**3 - o**2.\nAnswer: 387*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49.0744 millilitres?\nAnswer: 0.0490744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*i**3*j + i**3*m*y - i**2*j*m + 2*i**2*j - i*j*m*y + 3*m*y wrt i?\nAnswer: -228*j + 6*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.055843 and 41959.8?\nAnswer: 41959.855843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 137\/3, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20.2 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/5)*f**2*f\/(f**(2\/35)*f)*f**(-2\/17) assuming f is positive.\nAnswer: f**(1324\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -1137.\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -940\/7. Suppose 0 = 5*i + 4*q - 51, -18 = -2*i - 4*q + 3*q. Suppose -i*b = -4*b - 3. What is the nearest to s in -5, -2\/9, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -5, 16\/29.\nAnswer: -5, -0.5, 16\/29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1753021*v**3 + 4595*v**4 - 1753021*v**3)*(v + 0*v + 0*v) + (2 + 2*v**5 - 2)*(-2 + 5 - 1) - v**3 + v**5 + v**3.\nAnswer: 4600*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1827\/88, 1, 164?\nAnswer: -1827\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, e: 1, b: 6}. Give prob of picking 1 e and 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-20)*(2 - 7)*(-20)\/(-390)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.433663 and -35387.93?\nAnswer: 35387.496337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 70. Suppose -2*a - x = -a. Let l = -32 - a. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1) - -1*107. Suppose 11*u - s = 6*u. Factor 25*p - 3*p**2 - 41*p + u*p.\nAnswer: -3*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 1 q when three letters picked without replacement from {z: 2, o: 2, q: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 13*p**2\/2 - 10*p - 11. List the prime factors of w(8).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -2*b, 7*b = 6*b + 4*h + 11. Let k(i) = -7 - 24*i + b + 31*i - i**2 + 2. Determine k(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + m. Let d be (-144)\/(-56)*(4256\/12)\/4. Let h = d - 224. Calculate the least common multiple of h and s(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21155 + 48970 = -1214*n - 408*n - 33821 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -95*d + 4. Let l(s) = s + 4. Let u be l(-2). Let c be n(u). Let p = 265 + c. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486576490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(220) - sqrt(220))\/sqrt(11) - sqrt(20))\/(sqrt(16)*-1))**2 - 4*(-1 + sqrt(45)*3)**2.\nAnswer: -1604 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Let q be (-16)\/(-104) + (-16)\/104. Sort -4, q, 5, y.\nAnswer: -4, q, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6 + 4*m + 13 + 0*m. Let c(k) = k + 5. Suppose -8 + 7 = -u - 2*v - 4, 0 = -u - 3*v. Determine u*c(b) + 2*p(b).\nAnswer: -b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -6 + 4233\/391. Is o smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 11:20 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12186, 24732, 37278?\nAnswer: 49824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.597 + 0.217. Which is the closest to 0.1? (a) n (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996 + 17727 = -921*m + 88*m - 4094 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.6 (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(68) - (1 + sqrt(68)))**2 - sqrt(68)*-1*5).\nAnswer: -10*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*r**2 + 393*r**2 + 265*r**2 + 66*r**2 + 387*r**2 to the form c + p*r + f*r**2 and give f.\nAnswer: 1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.5. Let s = 88519\/2810 + -2\/1405. Let o = -33 + s. Which is the nearest to o? (a) -3 (b) g (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*h + 35. Is 444 + h\/3 - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -233847 + -7?\nAnswer: -233853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2359 rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9798976\/15 + 1976131\/3. Suppose 38*g + 414048 = 114*g. Let z = h - g. Find the common denominator of z and -2\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104.7 in 1, -1\/5, 10\/17, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2421 + -25?\nAnswer: -2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-252))\/(4\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 - (6 + -4 + 1). Which is smaller: 3\/14 or p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 988080\/1265 + (-12)\/11 and 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1715356677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558570 greater than 1558584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -300531499, -300531498, -300531497, -300531496, -300531495?\n\"Answer: v - 300531500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927429463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13425 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = -4. Let q(f) = 2*f - 6. Let i be q(6). Let d(t) = -7*t**3 + 6*t - t**2 + 1 - i*t. Give d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16347 and 408675?\nAnswer: 408675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -371, -554, -737, -920, -1103?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + (-3 - -3) + 5 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 399 = -22*b. Let j be ((-24)\/b)\/((-2)\/14). Suppose -2*o - 30 = -j*o. Calculate the smallest common multiple of 16 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689097618?\nAnswer: 2, 13, 103, 233, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 9. Let l = -6 + 27. Let c be l\/4 - (-2)\/n. What is the highest common factor of 15 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + -73.\nAnswer: -72.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - g + 671 + 290 = 0, 3*n + 4*g - 724 = 0. What is the highest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 5*g**4\/4 + 20*g**3\/3 + 25*g**2\/2 + 10*g + 18. Factor s(m).\nAnswer: 5*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 2017. Which is smaller: -1982 or r?\nAnswer: -1982","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 33. Let w(u) = -2*u**2 + 26*u - 3. Let s be w(11). Let y be s + (-2 - (3 + 16\/(-2))). Calculate the greatest common divisor of n and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 39 + 51. Suppose 3*x + 4*w + 0*w = -10, -5*x - 3*w - 2 = 0. Factor -x*g**2 - 2*g**2 - 12*g**3 - m + 38 + 12*g - 4*g**4.\nAnswer: -4*(g - 1)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399340, 399338, 399334, 399328, 399320, 399310?\nAnswer: 399298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -34*h**3 - 14*h**2 + 9*h - 10. Let d be (-12375)\/(-81) - (-2)\/9. Let f be 4\/(-34) - 1512\/d. Let r be p(f). Round r to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = -j + 3*o, 0 = -5*j - 2*o + 16. Suppose -3*k + 1339 = 4*x, 669 = j*x - 0*x + k. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((24\/156)\/2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*z**2 - 25*z**2 - 245*z + 247*z to v + b*z + l*z**2 and give l.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -41. Suppose 9*a + g*a = 38. Calculate the least common multiple of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/3, 2\/5, -5788, 4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31154 (base 6) in base 7?\nAnswer: 15112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + -2. Let s = b + 335. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-11)\/88)\/(((-42)\/7)\/174)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70918.91841 rounded to the nearest 10?\nAnswer: 70920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0)*(-122 - (-4 + 9)). Suppose 0 = 3*s + 6, 0*a + q = a + 3*s. What is the remainder when a is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 2696706108840?\nAnswer: -2696706108839.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6)*-2*(-4 - 5). Solve 3*o - 18 = b*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-981)\/18)\/((-3)\/18) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*m + 8 = 797*m + 5*b, 3*b = 4*m + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 428145\/(-140760) - 14\/(-12).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 0 - -9) + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235187 is divided by 117581.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -2 - 16. Suppose 3*r - 3269 = -2*g, -4*r + n*g + 1079 = -3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5 - 11 = 0. Suppose -12 = -g*k + k. Solve -k*l + 7 = 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-31)\/11 - (-12)\/(-66). Find the common denominator of 53\/2 and 6\/l*138\/48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 731258909 + -731259076.9999644. Let d = 156 + -324. Let l = d - h. Round l to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2416 - 2522 + 2*f - f.\nAnswer: f - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*(-15)\/1. Let k(p) be the second derivative of -p**4\/12 + p**3\/2 + 3*p**2 + 11*p. What is k(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t + 2*t)*(0*t + 0*t - t)*(2 - 2 - 2*t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*c**2 - 339*c**3 + 0*c**2 + 38 + 299*c**3 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7452\/(-46)*(1\/(6\/(-5)))\/((-1940)\/(-1552))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/4)\/(h*h**(-1\/45)) assuming h is positive.\nAnswer: h**(-221\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*b + 35, 6*d - 4*b + 40 = 2*d. Let h(k) = -126*k - 374. Calculate the remainder when h(d) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d**5*t**2 - 27*d**3*t**3 - d**3*t - d**2*t**3 + 228*d**2 + d*t**3 wrt d.\nAnswer: 420*d**2*t**2 - 162*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24902.54mm in meters?\nAnswer: 24.90254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -27*i + 15. Let x be d(-3). Let f = x + -90. Calculate the highest common factor of 66 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3764080560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -107, -112, -127, -158, -211, -292, -407, -562?\n\"Answer: -a**3 + a**2 - a - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 25 = -u. Suppose 2*b - 3*d - 70 = -7*d, 4*d = 5*b - 175. Calculate the greatest common divisor of u and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -602.19493 - -589.69. Let p = q - -18.504846. Let g = -6 + p. What is g rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2276463, -2276626, -2276787, -2276946, -2277103, -2277258, -2277411?\n\"Answer: n**2 - 166*n - 2276298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6434 + 6454. Solve 3*j - 13*j = -f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3762, -7793, -11868, -15993, -20174, -24417, -28728?\n\"Answer: -j**3 - 16*j**2 - 3976*j + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 6*z**2 - 3*z. Let b be q(-6). Let w be (-1 + (-64)\/(-12))*b. What is the remainder when 4\/(3\/(w\/2)) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 133*u - 19360400. Round u to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 97*l**3 + 17 - 145*l - 20*l**4 - 15*l**2 + 31 - 13 + 48*l**3 = 0.\nAnswer: -1, 1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-638 - 29*v + 638)*(7*v - 8*v - 37*v) in the form z + h*v**2 + y*v and give h.\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -59, -86, -113, -140?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2790, -2814, -2840, -2868?\n\"Answer: -y**2 - 21*y - 2768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -139\/3. Let k = -1 - -1.08. Let z = 5.08 - k. What is the second biggest value in z, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 14 - 12 = -3*m, -14*r = -m + 54 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258 + 266. Solve 0 = -x*b + 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/12 + (515\/(-30) - 391\/(-23)). Factor -q*f**2 - 5\/2*f - 25\/4.\nAnswer: -(f + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5798.\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -57. Let v = z + -3. Solve 4*i = 2*s - 16, 2*i = 2*s - v - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3943 + 3946. Suppose 0 = 5*t - 5, 2*a - 4*t = -0*a + 10. What is the smallest common multiple of a and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53707.46 minutes to milliseconds.\nAnswer: 3222447600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 + -0.21. Let g = -0.0386 + -3.0714. Let u = 0.29 - g. Is u < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/6120925 and 87\/100?\nAnswer: 24483700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264130 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 162646 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*j + 26 = -15, -5*j = 5. Let v(f) = f + 18. Let c be v(k). Solve 4*p = c*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.183739 minutes?\nAnswer: 0.00359981875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -8\/5, 3\/11 in descending order.\nAnswer: 0.3, 3\/11, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 19*m - 22*m - 8939, 0 = -i + 2*m + 1785. List the prime factors of i.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (24 - 25) + 1\/1344*1331 and 83\/1792.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/231 and 61\/1092.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 81895?\nAnswer: -8189.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 47. Calculate i(-29).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 + 16 - 7 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-10))\/(-2) - (-6633)\/(-55). Suppose 3*g = 4*p + 54 + 252, 3*g = 3*p + 228. Let c = p - b. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:34 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 14*t - 144. Calculate the lowest common multiple of 32 and d(22).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -35. Let o = 46 - q. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1543289, -3086583, -4629877, -6173171?\n\"Answer: -1543294*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 53*m**4\/12 - 7*m**3\/3 + 20*m**2. Let o be v(4). Calculate the highest common divisor of 41 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - 3*d**2 - 2*d. Let i be c(-1). Solve -i*y + 3*l = -14, -3 = 5*y - 2*l - 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k**2 - 4*k - 4. Let p be ((-35)\/(-70))\/(1\/2 + -1). Let s be h(p). List the prime factors of 4\/s*4*450\/(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 20*q - 42. What is p(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3302 - -3303. Let m = 0.1 - 0.1. What is the closest to m in d, 2\/7, 4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25001 is divided by 12491?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/6 - 3*t**4\/2 - 23*t**3\/6 + 3*t**2\/2 + 18*t + 18 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 2 c when four letters picked without replacement from zhfcczhhczfpzzfzzzm?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.4 + 32.2. Let y = -411.6 + s. Let n = y + 358.000454. What is n rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 2 + 3*y + 4*y. Let t = 29 + -19. What is the lowest common multiple of t and n(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2768385878 and -8809.\nAnswer: -2768394687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*1\/(-2) + 38?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 260445060 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7286 - 36?\nAnswer: 7250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 + 65 = 54*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(4 - (-4)\/(-2)). Let s = 22459 + -22408. Suppose b*p - s = -p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 783351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 3\/4*g**4 + 0 + 75*g + 1\/6*g**3 + 0*g**2. Let n be (1 + 0)*1\/1. Calculate k(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a9bfe (base 16) in base 14?\nAnswer: -529926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37976 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssssessssssssssese.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**5 - 34175*c**4 + 4*c**3 + 2423613*c**2 - 23*c + 2?\nAnswer: 60*c**2 - 820200*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 34832044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47812 (b) 0 (c) -1 (d) -0.032 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 3*v + 21. Let r be l(-4). What is the highest common divisor of 136 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:38 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 14, l: 1}. What is prob of sequence qlqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -16 - 24*f**2 + 4\/3*f**3 + 0*f. Factor o(p).\nAnswer: 4*p*(p - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -30.3\nAnswer: 393.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6759 + -1771. What is the common denominator of z\/(-880) - 4\/22 and 73*(-1)\/6 - -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 42887880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 4*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 3*v + 3. Let j(a) = 3*a + 1. Let o(l) = -3*j(l) + 2*z(l). Calculate o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d778c9 - -1?\nAnswer: -3d778c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(3078)*-2 + sqrt(3078))*-6)\/(sqrt(12)\/(sqrt(6) + (sqrt(6) - sqrt(96))*2)).\nAnswer: 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 156*k**2 + 9149*k\/4 + 4263\/2.\nAnswer: (k + 1)*(k + 14)*(k + 609)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4797 and 3015.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/((-5760)\/6060)*-2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(48) + -4) - (sqrt(3)*-2*2 + -1)) + 3)**2.\nAnswer: -1120*sqrt(3) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*h - 15, -h = g + 4*g - 41. Let u(k) = k**3 - 7*k**2 - 7*k - 8. Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-3) - 1)\/(-1). Suppose -21 = -y + d*y. Let u = -13 - y. Calculate the lowest common multiple of 10 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -17, 0, 4, -6, -53 in increasing order.\nAnswer: -53, -17, -6, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwk when three letters picked without replacement from {w: 3, u: 1, g: 1, k: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -1688, -841?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 23*z**6\/30 - z**5\/20 + z**4\/12 + 73*z**3\/6 + 17*z**2 - 5583*z + 1. Find the second derivative of s(y) wrt y.\nAnswer: 276*y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + x + 4. Determine y(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(2\/33)*b))\/b*b**(2\/39))\/(((b*b**(-4\/7))\/b)\/((b**(-4\/5)\/b)\/b)))**(2\/109) assuming b is positive.\nAnswer: b**(-127264\/1636635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -9, -15793.\nAnswer: -15793, -9, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 11*d**2 - 31*d + 68. Determine a(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 34730 = -0*b. Let m = b + -97283\/14. Let u = 5978\/15 + -2453\/6. Find the common denominator of m and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k + 0 + 4\/45*k**5 + 0*k**3 - 13\/630*k**7 - 1\/120*k**6 - k**2 + 1\/18*k**4 - 1\/252*k**8. Determine y, given that i(y) = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -170742671?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + f - 19 = 0, -4*f = 5*n - 31 - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39641*z**4 - 44064.\nAnswer: 158564*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36\/(-81) - ((-28848)\/27 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35297438 divided by 22\nAnswer: -1604429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -247281 divided by -6?\nAnswer: 82427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(114) + sqrt(114)) - sqrt(114)) + 2*sqrt(114)*-6)\/(sqrt(384) + (sqrt(600)*-1 - sqrt(600))) + 4.\nAnswer: sqrt(19)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -28, -28, -8, 44, 140, 292?\n\"Answer: 2*t**3 - 8*t**2 + 2*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301925 and 20650?\nAnswer: 249390050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1693161*i - 792954 wrt i?\nAnswer: -1693161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 - 24*a - 810 = 0 for a.\nAnswer: -15, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -78754*0.5\nAnswer: -39377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 10.8574.\nAnswer: -8.8574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {t: 3, h: 2, l: 3, w: 1, x: 4, c: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 248*h - 7074. Let g(j) = -5*j**2 - 249*j - 7076. Let t(d) = 6*g(d) - 7*s(d). Differentiate t(f) with respect to f.\nAnswer: 10*f + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 + 5*s**2 - 3*s + 5. Let a = 16 - 9. Let q(d) = -6*d**3 - 5*d**2 + 4*d - 6. Let p(i) = a*h(i) + 6*q(i). Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 16. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 50643 = -58617. What is d rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from ooooooogofoooooo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46330?\nAnswer: 2, 5, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -3*g + 4*g, 2*a = 6. Let x be 9*-6*(-1)\/g. Let j be (0 - -2)\/(2\/3). What is the greatest common factor of j and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 628 - 2573*b**2 - 6642*b**2 + 1854*b**2 - 626 in the form q + r*b + p*b**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-7722)*-11*143.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(3) + 5) + (2*sqrt(120)\/sqrt(10))**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - (23 + (19 + -13 - 17))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/4 - x. Let j(u) = -3*u. Calculate b(j(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuzzduuzizuzdzddu. Give prob of picking 2 z.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41605)\/49926)\/(1*35).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/9 + 15676*z\/9 - 15673\/3.\nAnswer: -(z - 15673)*(z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 20 + 16 = 0. Suppose -5*d + 0*t - 2*t = 1, -4*t - c = 0. Factor -1 + d - w**5.\nAnswer: -w**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 43. Suppose 0 = -g*p + p + 74. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n - 16. Let a be o(-10). What is the greatest common factor of 66 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + 2542.1\nAnswer: 2542.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6389 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 - 3*k**2 + 6*k - 349. Let o(f) = -2*f**3 - f**2 + 5*f + 1. What is o(y) - r(y)?\nAnswer: 2*y**3 + 2*y**2 - y + 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 29957*p\/4 - 179598.\nAnswer: -(p - 29933)*(p - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 - -1) - (-226 + 234).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooojjoojjojoooooooo. What is prob of picking 1 o and 1 j?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 426?\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (18 - 6) + 19 + -10 + -9 - 23.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -18. Let g(y) = 3*y**3 - 2*y - 3. Let c be g(-3). Let w = -78 - c. Solve 2*l - 6*l + 14 = 3*t, w = -u*t + 2*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 927 and 26471.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + 829. Does 94 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28352?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, 3\/83, 3, 0, 1\/44 in increasing order.\nAnswer: -2\/3, -0.2, 0, 1\/44, 3\/83, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/7 - 5350*g**3\/7 - 21432*g**2\/7 = 0.\nAnswer: -4, 0, 2679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m, m = -b + 1. Let w be (-1)\/(b*3\/(-9)). What is the third derivative of -2*i**w - 2*i**2 + 0*i**2 + 4*i**2 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 10 = -19*t. Suppose t*r = 8 + 2, 3*n - 2*r - 320 = 0. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 564117*s - 18615839. Give f(33).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0. Let r = 13.2 + -10.2. Which is the smallest value? (a) r (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l*l**(-1\/11)))\/l))\/l**(1\/9))**(4\/19) assuming l is positive.\nAnswer: l**(712\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -757.2 in -8\/9, -0.6, 7, 2?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*x - 16 = -42*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8570, 8602, 8636, 8672?\nAnswer: 8710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1224 + 1632. What is the units digit of t\/8 + (-5 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -446478452902?\nAnswer: -446478452862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 226 - 78 = 0. Suppose 0 = -4*p + l + 10. Suppose -2 = 2*r - p. What is the remainder when 23 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10\/333 - -11765\/3663. What is the common denominator of g and -43\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a40 (base 15) in base 3?\nAnswer: 21210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34.04952 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 - 2*d**2 - d + 1. Let w be h(1). Solve -3 - 9 = -w*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12363 - -12369. Let x(s) be the first derivative of -7\/2*s**2 + 8*s + f. What is the derivative of x(j) wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1093 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 4*t + 0*t**3 + 0*t**7 + 0*t**2 + 0*t**6 - 31\/4*t**4 - 9 - 12\/7*t**8 + 0*t**5. Find the third derivative of i(n) wrt n.\nAnswer: -11520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 26.91, -2\/5, -2318, 2\/15 in increasing order.\nAnswer: -2318, -2\/5, 2\/15, 0.3, 26.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 14 = -1550*p + 1548*p, -16 = -22*p + 26*p - l + 5*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - p**2 - 3*p + 2. Let a be k(2). Let h be a\/(-3)*9\/(-6). Suppose -8*y + h = -6*y. What is the highest common divisor of 16 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*m**4 + 4125*m**2 - 2062*m**2 - 11*m - 2063*m**2)*(-3*m + 3*m + m).\nAnswer: -122*m**5 - 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12225 divided by -5?\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1970048 and 512.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, e: 15}. Give prob of sequence ei.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 + -25 + -53 + 116?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33524 - 15076 = 418*j - 7218 for j.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264627*l**4\/7 - 2642706*l**3\/7 - 6315420*l**2\/7 + 85416*l\/7 - 288\/7 = 0.\nAnswer: -6, -4, 2\/297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/4))**(-1\/4)*((k\/(k\/(k*(k*k*k**(-1))\/k*k)))\/k)**(-1\/24))**36)**(2\/3) assuming k is positive.\nAnswer: k**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a millennium?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/9 - 522316*b\/9 - 34101750482\/9 = 0.\nAnswer: -130579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + (1 - (1 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51016641 (base 7) to base 11.\nAnswer: 2436759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4 + 27889207*m**2 + 184260823 wrt m.\nAnswer: 12*m**3 + 55778414*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + (3 - 0 - (-4 - -15)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 20*h + 8*h + 6*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-3579)\/10 - 4. Let x = s + -927673\/2570. Find the common denominator of x and 67\/9.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0 = 12. Suppose -5*s + d + d + 501 = 0, s - h*d - 108 = 0. Let w(f) = -71*f - 122. What is the remainder when s is divided by w(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*g - 77 - 18 = 0, 2*g = -c + 27. Suppose -q = 4*d - 29, -2*d + 8*q = 5*q - c. Solve 2*i - 6*i - d = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250454*q + 250491*q - 2960 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + 2*(2*sqrt(11)*-2 + -4).\nAnswer: -8*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (-2 - -8) - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18258, -18270, -18282, -18294, -18306?\nAnswer: -18318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 1, d: 1, n: 1, o: 7}. Give prob of sequence po.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 416 + 6835. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3330 is divided by 1630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/299 at least as big as -449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-1) - 6\/2. Suppose -2*f = -r*f + 125. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125378748.\nAnswer: 2, 3, 11, 107, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -125\/3. Sort -2, 2\/7, v, -3\/2 in descending order.\nAnswer: 2\/7, v, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**2 + d + 2*d**3 + 1\/4*d**4 - 4. List the prime factors of t(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1352 - 1469.5. What is v rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 6395206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2969836469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/((-209124)\/785)*(-4)\/155\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65509 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/1*(-1 + 24). Suppose 10 = 2*h, -4*h - d = -4*x - h. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/2 - 59*k**3\/2 + 33*k**2 + 180*k = 0. Calculate k.\nAnswer: -60, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557249022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m. Let k(u) = 197*u - 9*u**2 - 95*u - 98*u. Give k(g) + 6*p(g).\nAnswer: -3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 106. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2762626 divided by 1381313.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30965 and -1023.0657.\nAnswer: 29941.9343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 851421 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141651?\nAnswer: 7, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 - 48\/(-26). Which is the biggest value? (a) 6 (b) 1\/3 (c) 3\/4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t + 553 = 37 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58851847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 at least as big as 1625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2\/7 - 11884*j\/7 + 3876216\/7 = 0. What is j?\nAnswer: 373, 2598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 23988 = -3*i, 124*i = 128*i + 4*g - 32000. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.4, -0.1, 158, -41\/3, 1\/9?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/50)\/(2\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20224861 is divided by 636?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -375207752*s - 441834031 wrt s?\nAnswer: -375207752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.81 and 2.7.\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -97 + 22. Is 15 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.508099 rounded to 1 dp?\nAnswer: -50.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q - 5. Let c(x) = 3*x + 1. Let v(b) = -16*b - 3. Let l(r) = -4*c(r) - v(r). Calculate -2*j(h) + 9*l(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/8792 and -81\/17584?\nAnswer: 17584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49716, -5, -15, 1 in increasing order.\nAnswer: -49716, -15, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 - 1 = k, -4*i = -5*k - 9. Suppose 7 = n + 2*h, -5*n + 4*h + 6 + i = 0. Suppose n*f = 5*o + 1427, -f - 4*o + 21 = -466. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.11 + -10. Let d = 4.89 + n. What is the second smallest value in 0, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 15*b + 47. Calculate r(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**17\/(d*d*d*d\/d**(6\/7)*d)*(d**(3\/2))**(-1\/6) assuming d is positive.\nAnswer: d**(353\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -497 + -1416632831.2.\nAnswer: -1416633328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 3270.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.002 + 5.102. Let p = 5 - b. Let x = 5 + -7. What is the closest to p in -5, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-1)\/15*5. Let g be 16\/6*(-6)\/(-4). Solve x - g*x + 9 = -5*v, -5*v = -b*x + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = -1. What is the units digit of (-684 - r\/1)*(-4)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*r = 4*r + 144, 2*r = -3*p + 464. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by -3.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(77)*2*5)\/(-5*(sqrt(140)\/sqrt(10))\/sqrt(2)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 328*o + 5594. Give t(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.29 + 0.71. Which is the third smallest value? (a) -3.6 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 0.5, 5, -30.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -359, -577, -793, -1007?\n\"Answer: q**2 - 221*q - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 50, 120, 208, 314, 438, 580?\n\"Answer: 9*b**2 + 43*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/14 + 4\/2. Calculate the least common multiple of (14\/(-8))\/(g\/4) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -138. Find the third derivative of -r**6 + z - 29*r**2 - 3 - 34*r**5 - 1 wrt r.\nAnswer: -120*r**3 - 2040*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 27. Let t = r + 22. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -8. Let g(r) = 2*r - 8. Let i(h) = 3*h - 7. Let z(c) = -5*g(c) + 4*i(c). Let y be z(s). Solve y*w + 3*w = 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 2*r + 3. Let q(a) = 14*a**2 + 13*a + 3. Let z(x) = -9*x**2 - 8*x - 2. Let g(i) = 5*q(i) + 8*z(i). Give 7*g(n) + 3*o(n).\nAnswer: -2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*a - 3, -5*u + a + 50 = 17. Find the common denominator of -7\/2 and ((-4)\/u)\/(64\/2280).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = 5*p, -9 + 1 = 4*p. Suppose 0 = -s*v - 2*f + 6400, -2*v = 2*v + 2*f - 5118. Suppose l = -l + v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j + 5. Let i(l) = -5 + 5 - 1 - 6*l + 8*l. Give 11*i(k) + 2*r(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277\/6 - 46. Let v(c) be the second derivative of 0*c**2 + n*c**3 - c + 0. Let k(w) = -w. What is v(k(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 take away 438858477.58?\nAnswer: -438858477.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275 = -936*d + 937*d - p, -d + 4*p + 1260 = 0. Is 1284 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Let n = -3\/2 - -13\/8. Let q = -4.1 - -4. What is the closest to 1\/3 in j, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -146. Let c be (-21)\/(-15) - (-22)\/x. Let r(g) = -2*g**2 + g. Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 3}. What is prob of picking 2 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k, 3*v + 4*k = -60 - 35. Let u = v - -56. Suppose 0 = c - 2*s - 14, -s + 47 + u = 4*c. Calculate the lowest common multiple of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20 and 33\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -147867, -147865, -147861, -147855, -147847?\n\"Answer: z**2 - z - 147867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 2*m - 2*m)*(2*m + 10*m + 10*m).\nAnswer: -154*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.3299996857 - -7.33. What is b rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/6 - 4\/(-6). Let s = -11 + 19. What is the greatest common factor of q and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k - k. Let h be 67 + 0 - (1 - k). Suppose 4*c - h - 111 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7)*v*v)**35*(v**(-2\/9))**34 assuming v is positive.\nAnswer: v**(607\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -67. Put 5, -3, u, -2 in decreasing order.\nAnswer: 5, u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204414101 (base 6) to base 15.\nAnswer: -4aa757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6258 (base 10) in base 9?\nAnswer: 8523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 676541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 12*r**2 + 31*r - 4. Let y be d(-8). Suppose -y*z + z - 3*v + 1509 = 0, -z - 4*v + 509 = 0. What are the prime factors of z?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 1. Let j be i(1). Solve t - j = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 29. Let t be o(26). Let w = t + 59. What is the highest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 6*s - 132. Determine r(0).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 340*m**2 - 4655*m + 831. Determine n(155).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.06 - -6.06. Let m = 12 - 14. Is m equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - p - 125 = -3027, -4 = -4*p. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 105 + 14. Let h(d) = 10*d - 2. Let k be h(2). Let c = p + k. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 4*d - 217. Suppose 5*h - d = -2*f, -f - 3 = -h + 8. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -424, -495, -612, -775?\n\"Answer: -23*m**2 - 2*m - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*f = -29 + 795. Solve 2*x - 76 + 100 = -4*j, 2*x - 12 = f*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 25. What is the greatest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1.01. Let c = 0.007 - 0.997. Let q = c + b. Sort -2, q, -0.5 in decreasing order.\nAnswer: -0.5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 44 + 16 + 35 + 66 + r**2 + 139.\nAnswer: r**2 + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011100 + 1001110?\nAnswer: 10101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (18101 - (-2 - -1 - -2)) + -299 + 295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7173807469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 35.1. Let h = t + -1.2. Let x = h - 1. Which is the third smallest value? (a) x (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqznqqyyqzyyzyynnna. What is prob of sequence qyy?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*q + 4*q. Let m(o) = 18*o**2 - 5*o - 5. Let z be m(q). What is the greatest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from buubuzzbuzuz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12192*d + 15. List the prime factors of z(1).\nAnswer: 3, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.00401 rounded to one dp?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-34) - 142275\/(-595))\/(-1). Let q = r - -279. Solve 2*h + 5*g + 18 = -12, 0 = -4*h - 5*g - q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:19 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 + 12021*i**4 - 1397881*i**3 - 2477109*i**2 - 712471*i + 354732 = 0. Calculate i.\nAnswer: -1, 1\/4, 123, 2884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387 and 34443?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 8.8. Let o = i - -0.9. Let b be 32\/(-12) + 6\/2. What is the nearest to b in o, 3\/8, 2\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/10 - (-6)\/(-30). Suppose -1 - d = 2*i, 50 = 5*x - 5*i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -3, -4\/5, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 + 5*l**2 - 30*l. Calculate g(5).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 14*l + 4. Let h be w(-14). Suppose h*j - 6200 = -16*j. Calculate the remainder when j is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (80 + 3 - 0) + -3. Let j = 62 - c. Is (-4)\/(96\/4) + (-46965)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/913 + -48399\/4565. Calculate the common denominator of (-339)\/10 - (-8)\/20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481*l**4 + 2*l**3 - l**2 + 2.\nAnswer: 11544*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51307?\nAnswer: 51307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 74*q - 4. Let w be z(2). Suppose -5*l = -2*l - w. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v. Suppose -8*l + 3*l = -30. Let p(t) = 3*t. Let c(h) = h. Let i(r) = l*c(r) - 5*p(r). Determine m(i(a)).\nAnswer: -99*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*((-33)\/9)\/(-11). Does 0.1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19327, -19326, -19325, -19324?\nAnswer: -19323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 13. Let n be t(-7). Suppose -4*x - 18 = 2*x. What is the units digit of 2\/n + (-107)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/2 + 3*h**4 + 606*h**3 - 2403*h**2 + 3591*h\/2 = 0. Calculate h.\nAnswer: -21, 0, 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 3*b + 2406 = -5*y, y - 5*b = 790. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 1080?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = 1. Suppose -5*u + 93 = 2*c, -60 = -f*c + 2*u + 54. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 698034, 1396056, 2094078, 2792100?\n\"Answer: 698022*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3631*f + 4966*f + 1692*f - 2353*f.\nAnswer: 7936*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40285\/70)\/(1\/2). Let i = x + -769. What are the prime factors of i?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*p - 350, -4*a = 3*p - p - 290. Suppose -3*t + 0*t = -a. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -35. Let w = 21 + -18. Let r = w + -3.1. What is the third biggest value in -3, y, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {r: 2, t: 2, w: 2, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -2*t**2 - t**2 - 7*t**3 - 53*t + 9*t**3 - 4*t**3. Let c(v) = 25*v + 13. Determine 6*c(r) + 13*f(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4829, 9447, 13923, 18185, 22161, 25779?\n\"Answer: -12*t**3 + t**2 + 4699*t + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 - 277. What is the hundreds digit of (10632\/l)\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 5 + 2)*-1*1. Solve -4*g + 0 = i - 1, 5*g - 5*i - 20 = v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 2*w**4\/3 + w**3\/6 - 152*w + 28. Let r be (-2)\/9 - 22\/(-18). What is p(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/604, 3, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -471207*c. Let n(s) = 5*s**2 - 49. Calculate i(n(t)).\nAnswer: -2356035*t**2 + 23089143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/12 + r**4\/24 - 139*r**3\/6 - 140*r**2. What is the first derivative of x(a) wrt a?\nAnswer: 10*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-1)*27\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least as big as 103\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15608135 rounded to 5 dps?\nAnswer: -0.15608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 0 = -x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.40418 and 49?\nAnswer: 313.80482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**2*n))\/n)\/n**(-1\/4))**(-40\/9))**(30\/7) assuming n is positive.\nAnswer: n**(1100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7 + 0*i**2 + i**2 - 3*i - 2*i + i. Does 8 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5152149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:59 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 335 + 287?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + u + 1307, -1734 = -4*f - 3*u. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4, -2*m + 9 = -m + h. Let r(s) = 13*s - 11. Let o be 12\/1*(-2)\/(-4)*-1. Let a(f) = -2 + 10*f - 4 - 3*f. Give m*a(p) + o*r(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 - 2*r - 2. Let o be d(-2). Let v = 16 + o. Suppose v = 2*l - 8. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 799071 and 780.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 662513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-7)\/w*w*w*w*w*w*w)\/w*w*w\/(w*w**7))**34*(w*(w**(2\/3)*w)\/w)**35\/(w**(2\/7)*w*w*w\/(w**(1\/5)*w*w*w)) assuming w is positive.\nAnswer: w**(-15304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 2128 + 1129 - 2*k.\nAnswer: -3*k - 999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and -206 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.25 - -23.322. Let a = l - 0.032. Let j = a - 9. What is j rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 13 + 49 = 0. Let v = 17 - z. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*z**3 + 2*z - 2*z - 74*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -5) + 9 - 2 - (1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.58 * 406304\nAnswer: 235656.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -557*l**3 + 3988*l - 26925755 wrt l?\nAnswer: -1671*l**2 + 3988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/4 + 217*z**3\/4 + 15631*z**2\/4 + 373527*z\/4.\nAnswer: z*(z + 63)*(z + 77)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 276767.167 + -276558. Let t = -399 - -608. Let w = t - j. Round w to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 11*t**2 - 13*t - 3. Suppose -4*d = -5*d - 12. Let a be k(d). Let f = 23 - a. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 250, 5.\nAnswer: 0, 5, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*b + 13, -2*b = 3*o - 0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -983 - -974. Let j(k) = k**3 + 9*k**2 - k - 7. Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -45. Let n(c) = 8*c. Let z(l) = -20*l. Determine o*z(r) + 12*n(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (8 - (-4 + 6)) + -8 + 8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*f - 11, -8*f + 7*f + 4*d = 9 - 75 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a - 256*a + 2322713 + 8183958 = 0. What are the prime factors of a?\nAnswer: 73, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4265442, -8530882, -12796322, -17061762, -21327202?\n\"Answer: -4265440*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**2 - 26*g - 56. Is 20 a factor of c(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**5\/20 - m**4\/2 - m**3\/6 + 11*m**2\/2 - 36*m - 1. What is t(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.888676 and 0.024.\nAnswer: 0.912676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 16*w + 8. Suppose 5*g - 162 = -7*g - 174. Let p(f) = f + 1. Determine g*o(r) + 6*p(r).\nAnswer: r**2 + 22*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(448)*1.\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*v**3 + v + 9*v**3 + 2*v.\nAnswer: -40*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3555, -5392, -7239, -9102, -10987, -12900, -14847, -16834?\n\"Answer: -d**3 + d**2 - 1833*d - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 7 + 20*s - 37*s + 2 + 18*s.\nAnswer: s - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j**2. Let q(l) = -3 + 5*l + 3 + 0. Let v(h) = h. Let k(u) = 2*q(u) - 11*v(u). What is m(k(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213373.\nAnswer: 31, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99 - (-44 + 142))*(34\/8 + (-33)\/(-22)).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 101*j**2 - 110*j + 5. Let f(v) = v**2. Let r(w) = 4*f(w) + u(w). What is b in r(b) = 0?\nAnswer: 1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254040298?\nAnswer: 2, 19, 37, 281, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1786166, -3572328, -5358476, -7144604, -8930706, -10716776?\n\"Answer: f**3 + f**2 - 1786172*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, 91\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(13)*6 + (sqrt(390)\/sqrt(10))\/sqrt(3) - ((-4 + sqrt(1053) + sqrt(1053))**2 + sqrt(65)\/sqrt(45))).\nAnswer: -8456 + 832*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by -3.\nAnswer: -157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/36)\/(3 + (-58)\/18). Suppose -x*c = -f - 4, -1 - 11 = 3*f. Solve t = -5*n + 2*n - 13, c = 2*n + 4*t + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2058, 2150, 2242?\n\"Answer: 92*i + 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m - 49 + 49)*((2 - 4 + 1)*(5 + 0 - 2) + 0 + 5 - 3)*((-2*m - 2*m + 3*m)*(2*m + 1 - 1) - 4*m**2 + 0*m**2 + 3*m**2).\nAnswer: -123*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*-1*1 + -4 + ((sqrt(78) - 6*(sqrt(78) - ((sqrt(78) + sqrt(78) + sqrt(78)*1 - sqrt(78)) + sqrt(78))))\/(-1*sqrt(864)))**2.\nAnswer: -12*sqrt(13) + 1621\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3411?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-15708)\/(-1428))\/((-9)\/(-45))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i - 28. Let o be t(3). Solve -o*f - f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 528, 529, 530?\n\"Answer: q + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 7*x**4 + 10*x + 17. Differentiate m(p) with respect to p.\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -219, 50 in decreasing order.\nAnswer: 50, 28, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 11 + 0)*(2*d**2 + 0 + 2 + 1) - 2*d**2 + 0*d + 0*d in the form h*d + i + n*d**2 and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:22 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0126974501 rounded to four dps?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-8)\/1728*2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -206?\nAnswer: 205.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12020 + -12017. Let d(u) be the second derivative of -19\/12*u**4 + 0 + 9*u + 0*u**j + 6*u**2. What is the derivative of d(g) wrt g?\nAnswer: -38*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030 * -0.128609\nAnswer: -132.46727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(-13\/6)\/((x\/(x**(-7)\/x))\/(x*x*x**(1\/14)*x*x)) assuming x is positive.\nAnswer: x**(-389\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1492 + 1565. Suppose t - 2*i = 41, -2*t + 0*t + 88 = -2*i. Suppose 4*v = w + t. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 6*s + s**2 + 0*s + 9 + 5*s - 25. Determine l(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 2}. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6856.91000011 + 6856.96. Let u = -0.02 + 0.07. Let n = u - g. Round n to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31, -78, -149, -256, -411, -626?\n\"Answer: -2*c**3 - 33*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**14*((n*n*n*n**(-1\/6)*n)\/n*n*n)\/n assuming n is positive.\nAnswer: n**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1483 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*4*(-3)\/(-18). Suppose v + a*r = -2, -4*r - 1 = 7. Suppose v*x - 3*x = 27. Calculate the remainder when 16 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021695 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d. Let v be u(4). Suppose 0 = v*i - 20*i - 4. Suppose -i = -8*w + 7. Solve 8 = -2*l - h - w, 4*h + 12 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5. Let w = p + 3. Suppose 0 = -w*g + 5 + 3. Solve 4*b - 3*n = 0, 3*b - 8*n + g*n = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531277425.\nAnswer: 5, 61251097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 732*w*x + 2*x - 20 wrt w.\nAnswer: 732*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11028570.5 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -177969.99 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38246, 0.02, 0.8, -7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejxj when four letters picked without replacement from {x: 3, m: 1, j: 2, e: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3008 and 2068?\nAnswer: 33088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 5*q + 7. Let k(i) = -3*i + i**2 + 2*i - 2*i + 2*i. Let h(o) = c(o) - 5*k(o). Differentiate h(b) with respect to b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/270 + 71*o**4\/108 - 68*o**3\/9 - 994*o**2. Factor m(u).\nAnswer: -2*(u - 68)*(u - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 77. Put 4, q, -1, -3 in ascending order.\nAnswer: -3, -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137695.\nAnswer: 5, 27539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + h**2 + 1. Let m(f) = 1436*f**3 + 5*f**2 + 3*f - 2. Let l(y) = m(y) - 2*o(y). Let i be l(-4). What is i rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:22 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17517076073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w + 21*w + 3*w.\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 20*b - 14. Suppose -7*m = -m - 96. Is t(m) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*550\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86246315 to the nearest integer?\nAnswer: 9287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 + 11 = 0. Which is the smallest value? (a) 4 (b) -2 (c) 43 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + (5 - 31 - (-17 + -18))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 - 228. Let z(d) = 6543*d. Determine z(s(t)).\nAnswer: -26172*t**2 - 1491804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118061 in 0.2, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5*18\/(-15) + -9)*-1. Let t = -2 + 3. Let w be (0\/(t - n))\/(-1). Solve w*k = 3*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.47, 0.9, 7, 6 in decreasing order.\nAnswer: 20, 7, 6, 0.9, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/332189 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287995783 is divided by 1535.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 107, 233, 409, 635, 911, 1237?\n\"Answer: 25*c**2 + c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167 * -58.9.\nAnswer: 9836.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 6*x**2 - x + 2. Let f be 8*(3 - 33\/12). Suppose -8*h = -10*h + f. Determine m(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 3825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/4804877?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 9*p - 10. Determine x(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/1471490 and 69\/124635203.\nAnswer: 1246352030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/4)\/(4\/80*-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 5, -96, 2, -542.\nAnswer: -542, -96, -2\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 10182, 9, -5, -1\/6, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -5 (b) 10163 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226 + -229. Let j = -51 - -47.7. Let l = j - y. Which is the third smallest value? (a) -0.1 (b) 2\/21 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ael. What is prob of picking 1 l and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41002 and -5.\nAnswer: -41007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*a*m - 164*m wrt a.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -9, 85.\nAnswer: -81, -9, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*d + 2*d + 4 = 0, -d = -4*a + 16. Put a, -0.5, 1\/3 in descending order.\nAnswer: a, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37916, -77735, -117614, -157583, -197672, -237911?\n\"Answer: -5*k**3 - 39784*k + 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3637*t**2 + 3 + 3639*t**2 - 2 + 199*t**3 in the form b*t**3 + d + c*t + k*t**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + -4. Let h = -0.007 - 0.293. What is the closest to -0.1 in h, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - 6. Let q(l) = l**3 - 12*l**2 - 3*l + 38. Let j be q(12). Let g(z) = -7*z**2 - 12*z**j + 20*z**s - 3 - 2*z. Calculate g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-88)*(-918060)\/(-11235)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1175686253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/(-2)*54\/(-45). Let v = 32 + -25. Solve x = p + 2*x + v, 5*x = -p - b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -16206467.\nAnswer: 16206467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 35*k**2 - 6821*k - 280870. Give f(-40).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -735, -2965, -6683, -11889, -18583, -26765?\nAnswer: -36435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 - -101. Suppose -4*b + 2*l + 0*l = -508, 508 = 4*b + 5*l. Let f = b + -39. Calculate the highest common factor of n and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -89. Let d = -118 - u. Let m = -92.9999981 - d. Round m to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5559120 and 198540.\nAnswer: 5559120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*c - 8 = 467*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -91, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1463 - -253. Let c = 2173 + y. What are the prime factors of c?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6965695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 0.92?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 18*g + 7*g + 2 - 22*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c - 26*c**4 - 28*c**4 + 78*c**4 - 28*c**4 + 277 - 156*c**3 - 66*c**3 wrt c?\nAnswer: -48*c**2 - 1332*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -33.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4369.\nAnswer: 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:54 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1359.6 and -7.97?\nAnswer: -10836.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 2*c - c + (-1 - 2 + 4)*(4*c - 4*c + c) + 5*c - c - 3*c - 2*c + 0 + 0 - c + c - 3*c + 210*c + 6 - 402*c + 183*c as q*c + k and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2 = b, -4 = 978*g - 983*g - 2*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 20*s + 41. Calculate f(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(1*12\/(-120)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*4\/6)\/2. Which is the closest to t? (a) -4 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2 + 12\/5 - 3\/5*g**3 - 24\/5*g = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1649, 3289, 4915, 6521, 8101, 9649, 11159, 12625?\n\"Answer: -a**3 - a**2 + 1650*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 221, 226, 229, 230, 229?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -27*w**2 + 6051*w - 976. Determine v(224).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 336*x**3 + x**2 + 91*x + 90. What is i(-1)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163 + 5125?\nAnswer: 4632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5036335651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-11 + 10)) + -33.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 + 2 - 2*x - 2 + 1. Let s be ((-9)\/3)\/((-3)\/(-2)). What is q(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, l: 13}. Give prob of picking 1 l and 1 h.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/113 or -50?\nAnswer: -28\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4154*t + t**3 - 8279*t + 4125*t + 0*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, -54, -62, -70, -78?\n\"Answer: -8*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4686 divided by 6.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46646.7108 minus -65630?\nAnswer: 112276.7108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i. Let s be d(2). Let x = s - 0. Suppose -x*a + 110 = a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 0 - 2 + 2*r - 3*r. What is d(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**5 + 0*i**5 - i**5)*(1 + 2 - 4).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*y - 332*y + 600 = -521*y. Calculate the remainder when (0\/(-1))\/(-1) + 5 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 < 13271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 462106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by 5905\nAnswer: 189\/5905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoo when three letters picked without replacement from ohoohoho.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.59 + -0.76. Let c = g + -5.3. Let i = c - -28. Round i to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -25, -33, -43, -55?\n\"Answer: -n**2 - 3*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lduvfln. Give prob of sequence ndl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8391713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 663347169\nAnswer: -663347173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 201614303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 7*s - 5. Let y be o(-10). Suppose 4*u = -y + 97. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3021741479 to the nearest integer?\nAnswer: 54970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10336 or -10275?\nAnswer: -10336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 179, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*a = t + 1, -3*t = 4*a - 10. Let i(u) = -35*u + 285. Let b be i(8). Suppose -b*d = -t*d - 33. Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 13*d**2 + 7*d - 17. Let i be x(-14). Calculate the highest common divisor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14 = -6. Let v = h - 26. Let x = v + 41. Solve -2*i + 2 = 4*j, j + j + x = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 8 + -6 - (0 + -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.071 - -0.371. Let g = -2079\/4 - -1039\/2. Let j = -0.8 + 0.5. Put j, g, v, -6 in decreasing order.\nAnswer: v, g, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - -34 - (2 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -27\/37, 2\/19, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(192)*1)\/sqrt(6))\/sqrt(4) - (-3 + -2*(sqrt(8) + sqrt(32) + sqrt(8))))*-3.\nAnswer: -54*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3))\/f)\/((f\/(f**(-2\/41)\/f)*f)\/f)*f**12*f*f*f*f*f**(-2\/15)*f assuming f is positive.\nAnswer: f**(10958\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 11:27 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -20. Suppose a*r = 2*r + 116. Calculate the remainder when 113 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 15*h + 33. Let c be y(-4). Calculate the common denominator of 8658\/(-2470) + -1*(1 - c) and -91\/2.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/20*10\/(-4). Let t be 4\/(-10) - (-102)\/5. Suppose w*d - t = d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/136*(4 - 85\/15 - -3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027615 to four decimal places.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 10 = h, -3*h + 2*h = 3*t + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7) + (-2 + 5 - 2) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.11. Let w = j + 11. Let z = 12 - w. Is z at least 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2945152 divided by 112.\nAnswer: 26296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 443 + 8*z + 443.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 - q**5\/60 - q**4\/24 - q**3\/6 + 39*q**2. Let c be b(-2). Suppose -y = -c*y + 496. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*d - 6, 2*g + d = -4*d + 15. Let z be (-1 - g) + -1 + (-6)\/(-2). Sort -3, 4, z.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) -2 (b) -0.5 (c) -1 (d) -2\/11 (e) -1301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33587 + 47587. Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 50 = 3*r. Let i = r - 22. Let c(m) = -2 - 6 + 7*m + i. Let n(a) = 3*a - 2. What is -2*c(q) + 5*n(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 46. Let t be (2 + y)\/(9\/(-270)). What is t rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 9*w - 6. What is the units digit of f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 36. Suppose q - l - 30 = 0, -q + 4*l = w*l - 31. Let b = -6 + q. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 8. Let n(w) = 3*w**2 + 2*w - 2. Determine n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - -0.5. Let r = 2 - y. Let d = 148\/395 - -2\/79. What is the closest to d in 1\/4, 1\/7, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*c - 402*c - 154 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11532?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - (sqrt(80) - (sqrt(80)*1 - sqrt(80)) - sqrt(80))\/sqrt(2))\/((sqrt(64) + sqrt(64)*1)\/sqrt(8)))**2 + -6*(sqrt(50)\/sqrt(2))\/sqrt(5)*6.\nAnswer: -36*sqrt(5) + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.1. Suppose 5*i + 12 = 87. Let l be (8\/20)\/(-1 + 11\/i). Which is the closest to -1\/2? (a) 0 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 7:49 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 8 = 0. Let j = 13 + -7. Find y such that -6*y**r + y**2 + j*y**2 + y**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 2. Let w be m(6). Does 14 divide w\/(342\/(-87) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3544 - -5167. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401*x = -403*x - 7030 - 9070 - 866 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.0951 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**3 - y**2 - y + 1. Let i be p(1). Suppose -i*x + 3*r - 318 - 82 = 0, 0 = -x + 4*r - 97. Let o = -51 - x. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -28\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2678367043 to three dps.\nAnswer: -2.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -221?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-4) + -4)*4. Let p be ((-4)\/m)\/((-8)\/(-1504)). Let f = p - -1059. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 0.06, -2\/19.\nAnswer: -4, -2, -2\/19, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*u = 2*u + 18, -4 = -5*d - 3*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -2.3.\nAnswer: -29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, f: 3}. What is prob of picking 3 f and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/490 and 33\/24170?\nAnswer: 1184330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*6 + sqrt(19))**2*-4.\nAnswer: -27436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8149965 divided by -4?\nAnswer: -8149965\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2525686246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 1\/15*j**5 - 20*j**2 + 0 - 1\/120*j**6 + 1\/8*j**4 - j**3 + 0*j. Let u be g(4). Let h(n) = -n - 2. Give h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*t + 6379*t**2 - 2 - 571*t - 217*t.\nAnswer: 6379*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 s when four letters picked without replacement from {s: 3, g: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 10. Let p(q) = -712 + 365 + 356 - 2*q. What is p(g(c))?\nAnswer: -6*c + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 528688*j*s*w**2 + 2*j*w**2 + 7500*s*w**2 + 25*s*w + w**2 wrt j?\nAnswer: 528688*s*w**2 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1233 and 7794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p = 35. Factor -p*c + 5*c**2 - 6 - 7*c**2 + 0*c - c.\nAnswer: -2*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 5. Let p = k + 4. Let o = p + 13. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -148*v**5\/5 + 1350*v**2 + 1411*v. What is the first derivative of g(k) wrt k?\nAnswer: -1776*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 144581372.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 7 + 7*n - 11 + 12*n**2 + 5 + n**3. List the prime factors of y(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 9. Let s be d(-6). Let p = s + 66. Suppose p = -3*a + 8*a. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g + 0*g)*(-919 - 781 - 303)*(0*g + g + g).\nAnswer: 4006*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -2\/23 (c) -0.019 (d) 1\/5 (e) -0.1 (f) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -12948657?\nAnswer: -1294865.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, 2\/29095, 0.4, -3?\nAnswer: 2\/29095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 2.48\nAnswer: -24.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 16. Let j(q) = q - 12. Let k(a) = -2*a + 17. Let n(u) = r*j(u) - 5*k(u). Give n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -241\nAnswer: 21\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*2\/(-4)*((-730)\/(-2847))\/(-5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3115237.03 - -12.\nAnswer: -3115225.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r - r)*(-2*r**4 - 5 + 5) - 5*r**5 + 2*r**5 + r**5 + 3*r**5 - r**5 - r**5 + (2 - 2 + 2*r)*(0*r**4 + 0*r**4 - 2*r**4).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*i**5 + 72*i**4 + 3*i**2 + 205*i wrt i.\nAnswer: -480*i**2 + 1728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33131 (base 6) to base 3\nAnswer: -20022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1344 - 1413. Suppose i + 32 + 37 = 0. Are x and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -400223*a*g**3 - 77*g**3 + 8897*g**2 wrt a?\nAnswer: -400223*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 317881?\nAnswer: -317877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3 and 149\/1722.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2572*(-3 - (-6)\/((-96)\/(-44))).\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 52*i - 96.\nAnswer: -2*(i + 2)*(i + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**0*b)\/b)**(-22)\/(b**(1\/4))**(-3\/34) assuming b is positive.\nAnswer: b**(-8973\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-36))\/((-280)\/(-112))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2524*t + 28. What is the units digit of b(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 + (0 - -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 44 + 5 - (9 + -33 + 8 + 9).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*w - 88 = 0, 2*w = w - 3. Let h(c) = 18*c. Let p be h(8). Suppose -p = -3*z + z. Calculate the remainder when z is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 at least 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2875.91 + -2873. Round d to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 8. Let g = 2011 - 2003. What is z(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129453 and 10?\nAnswer: 1294530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3103*o + 0 + 8771*o.\nAnswer: 11874*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**2 + 2*j**2 - 4*j**2)*(2494*j - 1479*j + 847*j) to t*j**3 + s + q*j + n*j**2 and give t.\nAnswer: -11172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 849819*-0.4\nAnswer: -339927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) - (sqrt(500)*4 + sqrt(500))))\/sqrt(10).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052364 rounded to seven decimal places?\nAnswer: -0.0000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*3 - sqrt(99)) + sqrt(99) + 3 + (sqrt(99) - -4*sqrt(99)*4) + (1 + sqrt(99) + 4)*-2*-6)**2.\nAnswer: 12096*sqrt(11) + 105345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1299952 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -2*i**2 - 3*i + 6. Calculate f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:02 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**7\/5040 - w**6\/360 - 3*w**5\/4 - w**2. Let v(j) be the third derivative of d(j). What is v(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6912 + -0.0112. Let r = -0.91 + l. Is r greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 + 19)\/(1\/(2\/3)). Suppose -2 = -4*h - f. Suppose 4*j - 6*j + 34 = h. Solve -2*t + 5*m = -3, 0 = -3*t + 6*m - 11*m + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*g + 104202214 - 104202214.\nAnswer: -208*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5452 divided by -1.\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -6. Suppose -j*s - 8 = -2*s. Is (s\/(-8))\/(4\/2608) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**3 + 318*t**2 + 25*t**3 + 317*t**2 + 318*t**2 - 953*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -140.\nAnswer: -47\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*c + 4. Suppose 5*w - 10 = 2*f, 3*f - c = 3*w + 2. Suppose 4*h - 2*r + w - 12 = 0, -4*r - 6 = -3*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(4\/(-4)*1). Let v = -4.8 + 4.7. What is the fourth smallest value in i, -1, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768280927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n - 22. Let t be y(-4). Let d be -6 - -7 - (-6)\/1. Calculate the highest common divisor of t and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1849*m - 41925 + 57137 - 128001 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.4 - -28. Which is the nearest to 2\/3? (a) 0.2 (b) -3\/73 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3443723 = -4*p + 5*p, -3*c = -p + 3443735. Let w be p\/374*6\/8. Let d = w + -6906. Calculate the common denominator of d and 121\/6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.228 + -1124.772. Let s = f + 1125.01226. Round s to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.58 - 3904.\nAnswer: -3908.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h - h)*(3*h**2 - 2*h**2 - 4*h**2 + (2*h - 4 + 4)*(4*h - 4*h + 2*h) - 1 + 1 - 2*h**2).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.5 - -27.5. What is the second smallest value in -2.8, o, -3, 0.4?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 25020*d - 52166700.\nAnswer: -3*(d - 4170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2669*q + 4958*q + 65653 - 487935 = -749*q for q.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1\/12, 6 in ascending order.\nAnswer: 1\/12, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -380\/1131 + 1\/377. Put -175, t, 1 in descending order.\nAnswer: 1, t, -175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-56) + (-5)\/(-24) + (1 - 1)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/238)\/(3*(-3)\/36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9)*-2 - 666\/540. Let b = 5 - 3. Sort b, -0.3, r.\nAnswer: -0.3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.04. Let l = -425.835 - -426. Let d = l - 0.065. What is the closest to u in d, 1, -12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1\/2, 0.3, -0.08, 5, -5.\nAnswer: -27, -5, -0.08, 0.3, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 - 2*p + 1. Suppose 2*i - 1 = 4*i - n, -i + 4*n = 4. Suppose 0*x = 2*x + 3*a - 5, i = -2*a + 2. Let r be j(x). Solve r*m = 7*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = -7. Let y be t\/(-6) - (-150)\/9. Suppose -4*n - 2*h = -18, 3*n = -2*n + 3*h + y. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {d: 1, g: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53955.\nAnswer: 3, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18599 (base 12) in base 3?\nAnswer: -1210120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/588634 and -75\/1177268.\nAnswer: 1177268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 less than -5.254?\nAnswer: -33.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/38*(-1508)\/(-87)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -27. Let l(b) = 2*b + b**2 - 4*b - 3*b - u + 6*b. Let c(k) = k**2 + 8*k + 12. Let r be c(-6). Give l(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 18*b - 111. Let a be l(23). Suppose a*k + 24 = 2*g, 5*g + 6*k + 15 = k. Solve 4*x - g = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2015226027 rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 66*f - 17. Let g(p) = 13*p - 3. Let h(y) = 11*g(y) - 2*i(y). Give h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s**(-3\/8)*s))))\/(s*s\/(s**(-10)\/s*s)*s*s) assuming s is positive.\nAnswer: s**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*y*z**3 + 192*j*y*z**2 + j*y*z - 2*j*z**3 - 303*j*z**2 + 9*y*z**3 + 1372*z**3 wrt z.\nAnswer: 12*j*y - 12*j + 54*y + 8232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 930716 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*n = -8, 32 = -2*r + 5*n + 9. Let d be 3 + -3 - 0\/(r + 0). Let f(k) = -9*k + 159. What is the hundreds digit of f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 20*i**2 + 115*i - 3. Let c(w) = -17*w**2 - 114*w + 2. Give -6*c(u) - 5*m(u).\nAnswer: 2*u**2 + 109*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 570.5 to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.52 - 0.52. Let h = -165\/4 - -41. What is the closest to v in 0.1, -3, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7923 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by (-258)\/(-33) + (-38)\/(-209).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3eb41 (base 16) to base 13\nAnswer: -8cb95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 2, 38, 5, -5 in decreasing order.\nAnswer: 38, 14, 5, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -2, 1.36, -4\/99, 4?\nAnswer: -4\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 5. Let k be (-4)\/(-16) - (-2)\/v. Let q = -15 + 15. Is q greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -58. Let z = s + -7\/3. Let 2\/3*c + z*c**4 + 2\/3 + 2\/3*c**5 - 4\/3*c**2 - 4\/3*c**3 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3*(-220)\/(-55) + 2. Put 0.1, -14, 0.4, c in increasing order.\nAnswer: -14, 0.1, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8632 and -49\/260?\nAnswer: 43160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22638, -45313, -67988?\n\"Answer: -22675*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u + 11. Let j(h) = -12*h + 12. Let p(q) = -5*d(q) + 4*j(q). Let a be p(5). Suppose -2*o + a = o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(3*u + 0*u - u) - 2 + 2 + 6*u + (0 - 1 + 2)*(0*u + 7*u + 0*u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 7:48 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -c880cd (base 14) in base 13?\nAnswer: -1536721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -4*q - 0*q + 4*p, 215 = 3*q - 5*p. Suppose -4*m + 25 + 12 = 3*b, -5*m + 3*b = -q. Solve -7*o + 23 = -2*o + n, 0 = 4*o - n - m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-6)\/2) + (3\/12)\/((-62)\/496)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13965806*w**2*x**3 - 26*w**2 + 196*w - x**3 - 2064 wrt x.\nAnswer: -41897418*w**2*x**2 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 5*s**2 - 6*s + 14. Let x be p(7). Let n = 56 - 95. Let g = n + x. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 465 - 462. Suppose -5*i - o*f = -70, i - 2*f = -7*f + 36. Solve g + 2*a + i = 0, 4*a - 8 = -3*g - 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-1)\/27)\/(110\/(-1650)))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(6\/7))\/f*f*f*f\/((f*f**(-23)*f)\/f))**(-14) assuming f is positive.\nAnswer: f**(-362)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 17*d + 60. What is l(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 4*j - 3*j)*(-2 - 5 + 1) + (-6*j - 7*j - 6*j)*(1 - 2 - 3) - 2*j + 0 + 0 + (-j + j + 2*j)*(-3 - 1 + 2) + 2*j + 3*j - 2*j to k + w*j and give w.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319452603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 - (-7)\/(98\/154)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 = -12*f - 98*f - 1033 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6693 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*n + 178, 3 - 92 = y + n. Let t = 443\/5 + y. Put t, 1\/52, 1\/3 in descending order.\nAnswer: 1\/3, 1\/52, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 945\/18 - ((-1)\/2 - -1). What is the common denominator of 99\/2 and (-723)\/c - 20\/(-130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.3. Let q = -249\/5 - -742\/15. Put g, 3\/2, q in descending order.\nAnswer: 3\/2, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-two fifths of a millennium?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nllnnennenen. What is prob of picking 1 l and 2 e?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 24794751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 5*o**2 + 2*o**2)*(-53*o + 5 + 24*o + 2*o) in the form v*o + t + h*o**2 + q*o**3 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/9 + 3592*f\/3 + 1418409.\nAnswer: -(f - 11853)*(f + 1077)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1263485 - -2034388. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 549acc?\nAnswer: 549ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/7 in 2\/5, 2\/9, 15.7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkcpsqsccpccckcqccc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109\/3 - 1193\/33. Let n = -5787 + 329849\/57. Let k = 3\/19 - n. Which is the second biggest value? (a) k (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 3*f. Let y be (1 - 0 - 2) + 4. Solve -2*o = -y*o + f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, w: 1, h: 1}. What is prob of sequence ww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313731606 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 24*l**2 + 5*l + 127. What is i(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -51, -23, 41, 153, 325, 569?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20 (b) 60 (c) -4\/133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -7, -3 in decreasing order.\nAnswer: 51, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118509897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -36110000 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23812)\/24 - (-3)\/18. Let f = -131 - w. Let v = f + 94. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 239*f - 32938. Calculate z(99).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 1. Let m be ((-3)\/15)\/((-1)\/(-5)). Let x(v) = v**2 + 9*v - 12. Let a(h) = m*x(h) - r(h). Give a(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 34 + (-27 - -17) + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -235?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 312, 601, 900, 1215, 1552, 1917, 2316?\n\"Answer: y**3 - y**2 + 285*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = -a + 5*u, 4*a - 2*u = 36. Suppose -4*v - a*o + 16 = -4*o, 4*v - o = 21. List the prime factors of v\/30 + (299\/(-6))\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80649 divided by 623?\nAnswer: 80649\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -4, -2, 2, 8?\n\"Answer: y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 18 - -55 - 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 8, f: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 - -10011?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 10:58 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.861 and 2.\nAnswer: 1.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4583.64.\nAnswer: 13750.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 36. What is the remainder when 63 is divided by (-9 - d)*(-11)\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1696630269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.775 - -3.775. What is the second smallest value in 944, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3409, 6815, 10221?\nAnswer: 13627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5351.3041 or 3\/10?\nAnswer: -5351.3041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-71976)\/16*(-16)\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 + 1)*(2*w + 2*w - 2*w) + 244 + w + 243 - 395 in the form g*w + c and give c.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t - 1 + 0 + 0)*(-4 + 4 + 2*t) to the form i*t**2 + x + p*t and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 2.4. Let o = 11.1 + a. Let l = 10 - o. What is the second smallest value in l, -2, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = -11765 + 247745. List the prime factors of h.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/((-25118)\/(-9915))\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 1123, 1829, 2615, 3481?\nAnswer: 4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 12:43 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 15*k + 17. Let m = 243 - 259. Let p be z(m). Which is the fourth biggest value? (a) -0.2 (b) 2\/11 (c) p (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 18*s - 443 + 218.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*s + s - i, 5*i + 90 = -5*s. Let o(h) = h**2 + 16*h + 26. Let w be o(s). Let b(f) = f**2 + 4*f + 1. What is b(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8) - (-10)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*x + 316 + 84 = 0, 5*x = -4*g + 799. Suppose 7*z - g = 296. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 133*s - 287. Does 5 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274207004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/7 and -103\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -5, 3\/8, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + (-15)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11662131 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 262125.261us in days?\nAnswer: 0.0000030338571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798994 divided by 3038.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 5. Let h be (6 + -6)*(15\/6)\/(-5). Give u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 44*j - 72. Let b be t(12). Let o = b + 124. List the prime factors of o.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13450 and 190.\nAnswer: 255550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25a + 104d?\nAnswer: 12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -682 + 693. What is the remainder when 19 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*a = -q - 8, -3*q - 2*a - 20 = 0. What is the remainder when ((-94)\/q)\/(6\/12) is divided by ((-8)\/(-4))\/(-1) + 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 393752296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.28 + -9.6. Let d = -0.32 - q. Which is the nearest to d? (a) 5\/6 (b) 2\/9 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 133. Let d(y) = 33. Let h(n) = 9*d(n) + 2*f(n). Let u be h(14). Factor 8*k + 0*k**u + 3*k**3 - 8*k - 3*k**2.\nAnswer: 3*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199525 (base 10) to base 5.\nAnswer: -22341100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + -6 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001110 + -111000000000?\nAnswer: -111111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3394978759.99986 - 3394951091. Let p = x + -27674. Let g = -5 - p. Round g to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10. Let i(u) = u**2 - 10. Let h(o) = -2*i(o) - 2*j(o). Let w(r) = -1320*r. What is w(h(v))?\nAnswer: 2640*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 661056 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61743.\nAnswer: 3, 11, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h**3 - 2*h**2 - 8*h**3 - 7*h**3 - 4*h to the form u*h**3 + a + o*h**2 + r*h and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + 11?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*f - 22, 0 = -3*f - 0*l + 3*l + 30. What is the remainder when -5 + 46\/(5 + -3) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/5063678 and -13\/2836?\nAnswer: 10127356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 1751\/85)\/(-2 - 7\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.0821?\nAnswer: -0.9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -32909*i - 230354. What is f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 11*g = 0. Suppose -2*b + 0*a - a + 41 = 0, 4*b - 3*a - 107 = g. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = v + 14, -v + 0 - 14 = i. Let l be (6\/v)\/(4\/(-14)). Let r = -0.18 + -0.12. Which is the third biggest value? (a) l (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1567, 1546, 1501, 1420, 1291, 1102, 841?\n\"Answer: -2*q**3 - 7*q + 1576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 10*m - 17*m + 111 - 48.\nAnswer: -27*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -220110222201212?\nAnswer: -220110222201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 4\/(-7) + (-15)\/35 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or -238355?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/734 and 131\/6.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 20. Give j(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ldllllld.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -3\/2, -1.42, -3, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/7, 1263, -0.001?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m**4 + 49*m**2*o**3 - 14*m**2*o + 8588*o**3 wrt m?\nAnswer: -12*m**3 + 98*m*o**3 - 28*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37c (base 13) to base 14.\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-39)\/(-33) - 2). Put 0, -0.4, m in ascending order.\nAnswer: -0.4, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 5*w - w**2)*(0 + 5 - 6 + (0 + 4 - 3)*(67 + 65 - 134)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/495041 or 0?\nAnswer: -6\/495041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-13\/5)\/((j\/(j*j*j**4))\/j) assuming j is positive.\nAnswer: j**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4) + (-378)\/168)*16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14163129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97440795 a multiple of 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3944 + -35422\/9. Let x = -1024 - -672. Find the common denominator of a and (1 + -2)*232\/x*3.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35601 (base 9) to base 5.\nAnswer: 1230230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -1\/8*n**4 - 143*n**2 + 0*n + 0 - 1\/3*n**3 + 1\/60*n**5. What is g(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:57 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 + 0*p**2 + 0*p**2.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-1 - (1 + -5)). Let l be (12\/6)\/(x\/(-38)). Let n = l + -19. Solve 3*s + 0*s + 15 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 116*q**5\/5 + 11*q**4\/2 - q**3\/2 - 9*q**2 - 29*q. Find the second derivative of y(w) wrt w.\nAnswer: 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -6 - (-6)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4) + -1 + -2.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.046255 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 3 - 79)*(-911*v - 36 + 113 - 36 - 41) to c*v + w and give c.\nAnswer: 42817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31713557 and -418.\nAnswer: -31713975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25840 = -131*u - 318*u - 1100 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 8*f - 106. Calculate the remainder when c(-14) is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13862.\nAnswer: 2, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - -3 - (95 + -89))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202437 (base 9) in base 13?\nAnswer: 42772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 92, 236, 442?\n\"Answer: 31*f**2 - 11*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 6. Suppose -b - q = -2, 5*b - 19 = -4*o. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*n + 718 = -164*n + 316*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*x + 4*x - 16*x)*(-2 - 4 + 5)*(32 + 161 - 80) to the form a + l*x and give l.\nAnswer: 2034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 8 + 126. Let q = -8 - b. Suppose -2*x = -q - 67. What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - s = -16, -s = -2*f - 4*s + 8. What is the remainder when (5 - -43)*f\/3 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4 - 2433*j**3 + 649881*j**2 - 57539967*j + 56892516 = 0?\nAnswer: 1, 239, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*k = -6, 3*a - 4 - 2 = -3*k. Let d(n) = 1 - n + a*n + 0. What are the prime factors of d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25334 - -243502?\nAnswer: 313240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 8*k = 0. Let g(m) = k + 4 - 4 - 3*m**2. Let i(d) = -8*d**2 - 9. Let o(u) = 2*u**2 + 2. Let y(c) = -4*i(c) - 18*o(c). Calculate y(g(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*z - 0*d - 8, 3*z = -2*d - 26. Let y(p) = 4*p**2 + p - 11. Is y(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - y**2 + y + 1. Let i(p) = -5*p**3 + 10*p**2 + 5. Let d(n) = -i(n) - 3*w(n). Let k be d(-7). Solve -12*l = -k*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5abcc (base 16) in base 5?\nAnswer: 43343120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1, -5 in increasing order.\nAnswer: -5, -1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*u + 194*u + 168 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8822484955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/(-8) - -1 - -2 and (-1)\/(-6)*8544\/(-608)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351 (base 9) to base 11.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 458 and -0.4.\nAnswer: 457.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32+1196780679\nAnswer: 1196780711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 + -232. Let w(l) = -254*l + 254*l - y*l**2. Let p(r) = -7*r - 3. What is p(w(g))?\nAnswer: 14*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -300267909*j. Let v(g) = -3*g. Give i(v(b)).\nAnswer: 900803727*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2751 + 6.7249. Let s = 83 - 85. Let u = -16 - -11. Sort s, -0.2, u, h.\nAnswer: u, s, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712 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: Simplify (y**7\/y)**(-5)\/(y\/(y\/y**(3\/7))*y**(-2)) assuming y is positive.\nAnswer: y**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746525451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3283, -3282, -3281, -3280, -3279?\nAnswer: -3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 26. Suppose k*q - q = -3*n + 14, 3*q + 14 = n. Suppose 145 = -v + 6*v. What is the remainder when v is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16b5b + -46?\nAnswer: 16b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = y - r - 19, 5*r - 27 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-11 - (13 + -13 + -10))) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*3\/21*18. Solve v = 2*r + 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-30 - 4))*32\/(-28).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 + -155. Put -1, v, 5, -2 in descending order.\nAnswer: v, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 94. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41862 + 6.8.\nAnswer: 7.21862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.032.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 13.792.\nAnswer: -13.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (2 + -19)) + 32 - 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 + 54570*r**2 - 54570*r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5913 + 5967 = 10*u. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(4*p + 0*p - 3*p) + 0 + 0 - p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5788 - 3324. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 4*x**2 + 6*x + 6. Let l be h(-5). Let s be 15\/10*l*2. Let b be 19\/4 - 4\/(-16). Solve -4*z - c = 8 - 3, -s*z + 9 = b*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35702623 to the nearest integer?\nAnswer: 5975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3285.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21935 times 7.4?\nAnswer: -162319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*h + (-2*h - 3*h + 3*h)*(46 - 10 + 54).\nAnswer: -178*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/((-1220)\/(-549))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfc when three letters picked without replacement from gqfyykcck?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2390765, -2390766, -2390769, -2390774, -2390781?\nAnswer: -2390790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 4*k - 5*k)*(1216*k + 3609*k + 5370*k).\nAnswer: 20390*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -52*q + 466. Calculate the remainder when d(6) is divided by 57.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g**2 - g - 6. Let w(l) = 2*l**2 + 14*l + 15. Let y be w(-6). Suppose -4*q = -5*k - 15, 4*k = 4*q + y*k - 3. Determine a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - a = -0*a + 87, 0 = 3*k - 4*a - 123. Suppose k = 3*o + 6*o. Let d(v) = -v**3 - 2*v**2. Let j(m) = 2*m**3 + 5*m**2. Calculate o*d(r) + 2*j(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) + 436\/(-12). Let d = r - -83. Calculate the remainder when d is divided by (-356)\/(-22) - (-4)\/(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -442, -13, -4, 5, 3 in ascending order.\nAnswer: -442, -13, -10, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 + 2*h - 1. Give y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1374 in 4, 1.33, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207429*1.\nAnswer: -207429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, -0.3, -0.08?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 7840143.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 12*x + 2050 = 2*t, 2559 = 5*x - t. Is x a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*-4)\/(-1*sqrt(891) - sqrt(891)).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218301173 - 218301234.0000086. Let o = a - -61. Round o to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -353470 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130616.8 rounded to the nearest one thousand?\nAnswer: 1131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -g + 747, 0*g + 288 = 2*n + 4*g. Suppose -5*x - 5*j = -n, 4*x = 10*j - 6*j + 88. Solve -14 - x = 8*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.03, 0.3, 501?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109\/2 + -55. Which is greater: -5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o**2. What is the lowest common multiple of 8 and y(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 218*g + 27 = 217*g, -2*g + 21 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 12, w: 3, d: 3}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76512456 and 29.\nAnswer: 76512485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8515600 rounded to the nearest 10000?\nAnswer: 8520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45 + -2518?\nAnswer: -24a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572075895?\nAnswer: 3, 5, 23, 29, 57179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**3\/6 + m**2\/2 - 3*m - 1. Let k(v) be the first derivative of c(v). What is k(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from jypgpjurjggyryy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11709984097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p - 852. Suppose 0*m - p = -2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h + 1. Let q be l(-1). Let w = q + 10. Suppose -5*p = -u - 2 + 15, -5*u = 4*p - 36. Solve -w*g - u = -7*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + -62 - (2 - -93)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2055 - -2068. Solve 50 = -d*j - 37*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(65)\/(sqrt(15)\/sqrt(3))*-5)**2 - (sqrt(13) - 1*sqrt(117) - sqrt(117)\/sqrt(81))**2).\nAnswer: -2288\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/58*1*4\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d07 (base 14) to base 15\nAnswer: -b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 8:33 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0 + 0 + 2 + 2*o. Let j be n(5). Let f be 6\/(j\/(-8) + 3). Solve -f = -k + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/3)\/(6*8\/(-24)). Solve -3*y - 14 - r = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 5*x**2 - 2*x**2 - 2*x - x**3 - 4*x**2. Let c(w) = w**3 - 7*w**2 - 16*w - 15. Let n be c(9). Let l be (-1 - (-6)\/(-6)) + 12\/n. Determine z(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65197\/5 - -13041. What is h in -2\/5*h**2 - 2*h - z = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 5*z**2 + z - 1. Let g be m(5). Let r = g - 2. Solve 4*c + 15 = 5*s + 46, 0 = -3*c - r*s + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9750, 77852, 262704, 622680, 1216154, 2101500, 3337092?\nAnswer: 4981304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 2. Let r(g) = g**2 + 2. Let y(d) = -3*f(d) - 4*r(d). Let a be 0\/(0 + (-10)\/5). Calculate y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-28)*(23 + -15). Put a, 7, -2\/9 in decreasing order.\nAnswer: 7, a, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + z + z)*(45 - 60 + 34)*(75*z - 6*z + 17*z) + (-3*z + z + 0*z)*(4*z + 0*z - 5*z).\nAnswer: -4900*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 21. Let l be x(-15). Let p be 0 - l\/((-54)\/24). Suppose -2*c = p*c - 36. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, 2\/31, 2\/21, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -9.33.\nAnswer: 1.3995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8255, -16597, -25045, -33599, -42259?\n\"Answer: -53*u**2 - 8183*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 502958260.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/19 + 56*l**4\/19 + 17270*l**3\/19 + 632596*l**2\/19 + 6961344*l\/19 + 23751936\/19 = 0. What is l?\nAnswer: -39, -8, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uzuzzzuzzzubzuzuzzuu.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/10)\/(7\/14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - h. Let y(q) = 2*q**2 + 9*q + 9. Calculate the remainder when y(-6) is divided by p(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(i - 3*i**3 - i) + 0 + 0 + 2*i**3 + 2*i + i**3 - 2*i - 3*i**3 + 4*i**3 + 0*i**3 + (1 - 1 - 2*i)*(-2*i**2 + 3*i**2 + 2*i**2).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1323, -2650, -3977, -5304, -6631?\nAnswer: -7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13265 (base 7) in base 11?\nAnswer: -2760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -43 (b) -26 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = -8. Let z = y + 5. List the prime factors of z\/(-4) - (-34)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 22962684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 107. Let m(f) = -10*f**2 - 48*f + 16. Let a(h) = 2*h**2 + 9*h - 3. Let u(i) = 16*a(i) + 3*m(i). Determine u(s(o)).\nAnswer: 8*o**4 + 856*o**2 + 22898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27778794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(sqrt(14) - sqrt(84)\/((sqrt(24)\/sqrt(4) - sqrt(6)) + sqrt(6))))\/(-5*-1*sqrt(700) - (4*sqrt(700)*-1 - sqrt(700))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*h - 4*q, -7*h - 3*q + 5 = -2*h. Let z = 26814 + -26811. Let -13\/10*l**2 + 6\/5*l - 1\/10*l**h + 3\/5*l**z - 2\/5 = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -81, -159, -239, -321?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -346664?\nAnswer: 1\/173332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4344.715 tonnes?\nAnswer: 4344715000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by 381.\nAnswer: -101\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -101, 2\/17, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561 = 7*t + 1618. Let v = -130 + 24. Let c = v - t. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/((sqrt(11) - sqrt(11)*-1) + sqrt(11)))\/sqrt(3) + 2 + 5 + 2*sqrt(3) + sqrt(3))**2.\nAnswer: 140*sqrt(3)\/3 + 247\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbbe when four letters picked without replacement from {r: 3, a: 4, o: 4, e: 1, l: 3, b: 5}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*n*w - 13*n - 5*w**4 + 11 with respect to w.\nAnswer: -82*n - 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 5\/6, -0.6, -0.3, 45\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**6\/20 + 79*o**5\/40 - 225*o**4\/8 + 567*o**3\/4 + 729*o**2\/2 - 9*o + 9. Determine h, given that r(h) = 0.\nAnswer: -2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = -3*q, 0*q - 16 = 4*q. Solve 0 = -c - 3*s - 2, 0 = -4*c - z*s - 4*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6816*o**2 - 21*o + 2211. Let r(f) = -3*f**2 - 3*f - 1. Let b(q) = -g(q) + 7*r(q). Find the first derivative of b(u) wrt u.\nAnswer: -13674*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:26 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 145841 - 54178 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9177 and 24634127?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-20))\/(1\/(-14)). Put 1, m, -0.11 in descending order.\nAnswer: m, 1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12244 is divided by 5656.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10281, -20559, -30837, -41115, -51393?\nAnswer: -61671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/44462 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Suppose 3*d - 4*d + 15 = -2*x, -u*d + 95 = -5*x. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 190. Suppose -4*d = -g - t, -5 = 4*g + 7. Calculate the remainder when 447 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.61593 minus 3.511?\nAnswer: -416.12693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 217, 211, 203, 199, 205, 227?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 5665\/(-5) + (5 - 0). List the prime factors of (-2 - -23)\/((-36)\/z).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618.19766 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 34*u**2 + 68*u - 232. Is 33 a factor of f(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 7*x + 4. Let f be (0 - 8)\/((-10)\/(-55)). Let n be 212\/f + 2\/(-11). Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:21 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 10. Let b(i) = 4*i + 1 - i + 2 + 3*i. Is 14 a factor of b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 12:52 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 106.5. Let q = m + -106.00000163. What is q rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -475901370444?\nAnswer: -475901370443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 - 5*q**2 - 3*q**2 + (-2*q + 2*q - q)*(-47 + 47 + 9*q) to the form d*q + g*q**2 + x and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4589 - -0.1589. What is the fourth biggest value in p, -0.7, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 1 - 1)*(0*u - u + 3*u) + (-28 + 68 - u - 36)*(-2*u**2 + 0*u + 0*u) in the form n*u + t + y*u**3 + c*u**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2415 by 161.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2\/5*s**2 + 8\/5*s - 24\/5 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*h - 190*h - 3 - 162*h.\nAnswer: -46*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.7 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(112 - 36)\/38. Suppose -5*f + 45 - 15 = 0. Solve -2 = t*y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -8. Suppose 0*g + 4*g + 8 = -3*c, -10 = -c + z*g. Suppose -4*k + 316 + 332 = c. Round k to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + a + 14 - 3 = 0, -155*a + 2 = -157*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, 0.28, -226 in descending order.\nAnswer: 21, 0.28, -2, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105295251 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1196 + 93?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**4\/6 - 9*b - 21. Let l(s) be the first derivative of k(s). Let p(x) = x + 4. Give l(p(z)).\nAnswer: 2*z**2 + 16*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/39682935 and -89\/805161.\nAnswer: 277780545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, j: 6, u: 2, f: 3, w: 4}. What is prob of sequence pwfj?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 2140*h**3 - 7082*h + 2094*h**3 - 36*h**4 - 4232*h**3 wrt h?\nAnswer: -432*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*m - 2, 4*i - 398 = 4*m - 390 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(5\/7)*a*((((a*a\/((a**(3\/7)*a*a)\/a*a)*a)\/a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:02 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 491 + 419. What is the smallest common multiple of 180 and m?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48636.\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 9}. Give prob of sequence jkk.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 48, -4278\/5, 2\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-15))\/((51\/1054*-2)\/((-1)\/(-2)))\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 1, f: 2, z: 1, w: 4}. What is prob of picking 1 f and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 9) in base 12?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, m: 2, p: 1, t: 3}. Give prob of picking 4 l.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 201775.\nAnswer: 2219525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 8:28 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -49, -98, -179, -298, -461, -674?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*w + 16308 = -6438. What is the remainder when 1515 is divided by w?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54829993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -2\/3, -4\/239, 31\/9, -0.4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aat when three letters picked without replacement from tttttttttttttattttat?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 47353*j - 331463. Give r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*g*g**(-1\/2)*g)\/g*g*(g**(-15)*g)\/g*g)\/(g*g\/((g**(-3\/7)\/g*g)\/g))**10 assuming g is positive.\nAnswer: g**(-613\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26015479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -13*l**6\/360 - 17*l**3\/6 - 3*l. Let t(h) be the second derivative of i(h). Let u(c) = c. Give u(t(q)).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.563.\nAnswer: -0.1689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-6)*(-298)\/3. Let r be 1\/(-4) - (t\/20 - -7). Which is the smallest value? (a) -5 (b) r (c) 4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5188, -1\/36, -0.29 in descending order.\nAnswer: -1\/36, -0.29, -5188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(16\/(-48))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 364 + -363.08. Round h to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34\/51)\/(2\/72). Suppose -5*r - b = -16, 3*r - 6*b + 3*b = p. Let d be r\/10 - ((-818)\/5 + 2). What is the highest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x**3 + 5*x**2 - 15*x - 1480. Let m(r) = 9*r**3 - 4*r**2 + 12*r + 1481. What is -4*b(f) - 5*m(f)?\nAnswer: -f**3 - 1485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 0.09738, 8, -54.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1325 - 1326. Let b be (-2)\/3 - (-256)\/366. Is p equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -266. Let v = o + -98. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10025 + 17975 = 3*x - i, 3*x - 28040 = -4*i. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**7\/105 + o**6\/5 + 22*o**5\/15 - 40*o**4 - 1600*o**3\/3 + 1522*o**2. Determine z, given that n(z) = 0.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/(2\/16). Suppose p*o + 0*o = 12. Let u(y) = -y - 2*y + 4*y - 4. Calculate u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*l = -16, -a = -2*l + l + 2. Let r = -1 - a. Solve -r*k + 1 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**5 + 2*q**2. Let j(h) = 10*h**5 - 3*h**2. Let m(k) = 11*i(k) + 6*j(k). What is the third derivative of m(r) wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((4 - 1) + -2). Let q be -1 + (-2 + 4)\/g. Differentiate -q + 58*f + 0 - 58*f - 2*f**4 with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*a - 4 + 12*a + 10*a to k*a + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -53, -83, -135, -215, -329, -483, -683?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7922 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 4.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b**3 + 2*b + (b - 4*b + b)*(-7*b**2 - 75*b**2 + 25*b**2).\nAnswer: 116*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*l + 790*l - 46872 = 1518*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 46?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/192)\/((26\/(-84))\/13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {l: 5, c: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325600 (base 10) to base 2.\nAnswer: 1001111011111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s + 2*s - 6*s + s. Calculate the remainder when 33 is divided by c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) -5 (b) 0.1 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(2*sqrt(2)*4 - sqrt(2)) + (sqrt(33)\/(sqrt(44)\/sqrt(4)*-5))**2.\nAnswer: 3\/25 + sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 25 + -10 + 1 + (-8 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(9\/(-42)*119441\/755).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 947.2 - 951. Sort 5, -3\/8, f in decreasing order.\nAnswer: 5, -3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((144\/(-9))\/(-32))\/(15\/(-93))*5\/(-2)\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -11*d - 585. Let k = d + 61. Determine y so that 4*y**4 + k*y - 4*y**3 + 15 - 16*y**2 - 7 - 8 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634.4 rounded to the nearest 10?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.889 - -0.211. Let o = -80 - -92. Let c = p - o. What is c rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 108. Let r be ((-45)\/(-12))\/(h\/(-160)). Let q = -61 - r. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 + 0 = 0. Let o be 9\/(-288)*x*-1. Let p be 0 + 8\/(-4) + 1. Are o and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgjgjljgl. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1. Let a(r) = -r**2 - 2*r. Suppose 4*d = -0*d - 4. Let u = -2 - d. Let x be -1 + u + -2 + 3. Determine x*a(t) + 2*b(t).\nAnswer: t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 5*f**4\/6 + 3*f**3 - 2*f**2 - 13*f. Let d(t) = -43 - 44 - 43 + 3*t**2 + 6*t + 129. Let k(x) = -2*a(x) + 7*d(x). Give k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 7*y + 9. Let i be z(11). Let q = -42 + i. Is 3\/((q\/47366)\/((-1)\/(-6))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 20*f - 14. Give o(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 10.009.\nAnswer: 6.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 192 = 42*r - 70*r. Solve -r*t - 38 = -54 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/84)\/(3\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 753348682 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 664470 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1.005\nAnswer: -0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**4\/24 + j**3\/3 - 16*j**2. Calculate c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -16. Let x be ((-6)\/b)\/(1\/230). Let z = x - 82. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -249a + -1348?\nAnswer: -3826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -2.2. Put o, 4, 3 in decreasing order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13385 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17942*s**3 + 4 - 15 + 2 + 7.\nAnswer: 17942*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27a (base 11) to base 7\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7894.6184 - -7899. Let k = x + -4.27. What is k rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 4*a - 27*a**3 - 4*a.\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -189456 divided by -63152?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 - 202. What is the tens digit of -1*(-2 - z) - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202301 - -122?\nAnswer: -202113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.7*-85.\nAnswer: 2694.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3328)*-1)\/(-3*sqrt(256)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452353?\nAnswer: 11, 17, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/(-20))\/(3\/(-20)). Let h be 25001 - (-3 - o\/(-4)). What is h rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 10. Let n be i(-8). Suppose s + 3*c - 41 = -n*c, 0 = 2*s - 5*c - 37. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-15)*(-1710)\/10944)\/((-3)\/((-9)\/4)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, 52, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534635 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 166087?\nAnswer: -2\/166087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q**3 - 2*q**2 + 3*q - 10. Suppose 0 + 16 = 3*c - 2*w, 5*w + 33 = 4*c. What are the prime factors of b(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -73*g**4\/4 - 2*g**3\/3 - 2*g**2 - 4*g + 54. Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 32 = 3*b, -2*d + 5*d = 5*b - 53. Suppose 9*r - b = 4*r. Suppose -r*f + 20 = -2. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - 6) + (9 - 4) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292026 - 262698 = -2174*o + 21920*o - 100566 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a + 8. Suppose a - 9 = -z. What is the third derivative of -4*k**4 - 3*k**4 - z*k**2 + 4*k**4 + k**4 wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107607\/20 + -5379. What is the common denominator of k and 13\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/15, -219, 3.3, -1\/6, 0.05 in descending order.\nAnswer: 3.3, 1, 2\/15, 0.05, -1\/6, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9646003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((90\/40)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 257759859 divided by -4?\nAnswer: -257759859\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 9742.\nAnswer: 85\/9742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12586 divided by -9\nAnswer: 12586\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -26, -82, -180, -332, -550, -846, -1232?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 69571 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 3*q, -22 = -4*v - 5*q. Let h(d) be the third derivative of -d**4\/24 - d**3\/3 - d**2. Let f be h(-4). Solve -f*n = -9 + v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/56*12)\/(9*3\/(-126))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284 divided by 71.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/140 and 27\/10136.\nAnswer: 50680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(-1\/10))\/h)\/h)\/h*h\/(h\/(h*h**(-2\/31)))*h**0\/(h**(-9\/2)\/h) assuming h is positive.\nAnswer: h**(858\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n + 16442*n**3 - 16447*n**3 - 14*n + n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*u - 7 = -6*r, 2*r + u - 5 = 0. Let c = 127\/371 + -3\/53. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3110 by 311.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**4\/42 + 2*v**3\/3 - 7*v**2 - v. What is s in f(s) = 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 84724.46 days?\nAnswer: 2033387.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**8))**(6\/7)\/(k**(-7\/2)*k**(-25)) assuming k is positive.\nAnswer: k**(495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = 54*y + 48*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l + 327. Give a(-34).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from mxillxxlxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2966 + -989. Suppose 5*m + 2*z = s, -z + 480 = 3*m - 707. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w. Let i(o) be the third derivative of 3*o**6\/40 - 55*o**3 + 14*o**2 + 1. Let n(y) be the first derivative of i(y). What is f(n(l))?\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5) - 2\/(-10). Let c be 13 + 3 + 4*-1. Suppose 0 = x + 2*x + c. Sort x, y, 4 in decreasing order.\nAnswer: 4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 43*z - 13. Let t be u(5). Suppose 383 + t = -5*r. Calculate the remainder when 54 is divided by (-18)\/r - 180\/(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -12122401?\nAnswer: -12122404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 103, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223080077 rounded to the nearest one million?\nAnswer: 223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39811 = -351*c - 35248 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12128.3034 rounded to the nearest integer?\nAnswer: -12128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 172821539 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45\/2 + -15. Let m(x) be the first derivative of 0*x + 0*x**3 - 22\/3*x**6 + 0*x**5 + 0*x**4 + q*x**2 + 6. Find the second derivative of m(d) wrt d.\nAnswer: -880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15118, 15228, 15338, 15448?\nAnswer: 15558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 + -15 + 21 - (1 - -28)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 + 2*j**2)*(-2 + 1 + 0)*(-7 + 7 + 4*j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = n + 2*t, 2*t - 19 = -5*n. Put 0.1, 1\/4, n in decreasing order.\nAnswer: n, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8022688, -8022693, -8022704, -8022721, -8022744?\nAnswer: -8022773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, s: 1, t: 2, d: 3}. What is prob of picking 2 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337146 - 197564 = -22*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 664*c**2 - 8*c + 5. Let j(z) = -1994*z**2 + 25*z - 16. What is -6*j(k) - 19*x(k)?\nAnswer: -652*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.059, 0.02, -1373 in decreasing order.\nAnswer: 0.02, -0.059, -1373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 10*t - 13. Let x be c(-9). Put 0, x, 4 in decreasing order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 1544*x + 1540.\nAnswer: 4*(x - 385)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3219584727 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from nxpnnnwxgnx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-4)\/8)*28\/(-63). Let k = -7101\/14 - -507. What is the nearest to k in l, -1\/3, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/8 - 201*s**3\/4 + 11307*s**2\/8 + 18090*s + 48600.\nAnswer: 3*(s - 72)**2*(s + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) -21 (b) 1\/6 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -942558?\nAnswer: 942553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q*s**2 - 260755*q*s - 7*q + 319*s**2 + 9329883 wrt s.\nAnswer: -2*q*s - 260755*q + 638*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164223321?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g + 3*k - 34, 0 = g + 2*k - 6. Suppose -r + 30 = r. What is the greatest common factor of g and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 5. Which is smaller: n or 10\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -37*y**2 + 173*y + 28. What is k(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6214 by -312.\nAnswer: 239\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 13*m - 20 = 0. Suppose 0 = -m*l + 10*l - 25. Solve -5*x = l*a - a - 25, 3*a + 4*x = 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 0. Let w be 9*(0 - (-4)\/3). What is the greatest common factor of o and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-15)*18\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33752 is divided by 11077?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95 and -4.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37c (base 13) to base 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + r = j + 19, 2*j = 2*r - 6. What is the units digit of 2 + -2 - 2 - j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {m: 5, r: 6, q: 1, a: 3, j: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*a - 3*w + 6, 4*w = 0. Suppose -4*g + 12 = 2*r, -5*r + 0*g = -a*g - 17. Calculate the remainder when 6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 0, -9, 35, -27 in decreasing order.\nAnswer: 202, 35, 0, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*l = -8*l, 27 = -5*u - 4*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1\/7 (c) 1\/426 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -128? (a) -1\/2 (b) 1.62 (c) 1\/4 (d) 5\/4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggagggggga. What is prob of sequence aa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 + 1 + 9*u**4 + u**2 + 8*u**3 - 10*u**3 - 2*u**2 to s*u**2 + i*u**4 + a + m*u + o*u**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*t**3 - t**3 + 2785 - 3*t**3 - 2916 with respect to t.\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2610 divided by -145?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u + 23*u + 275*u**2 + 24*u + 25*u - 111*u + 17*u.\nAnswer: 275*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 1. Let q = 1 - d. Let y be (1\/q)\/((-2)\/12). What is the highest common divisor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m - 6. Let x(q) = -q - 1. Let w = -29 + 30. Let t(v) = w*g(v) - 6*x(v). Let f(d) = -11*d. Calculate f(t(h)).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**6\/6 + 11*t**5\/4 + 145*t**4\/12 - 65*t**3\/2 - 6*t + 8. Factor j(h).\nAnswer: -5*h*(h - 13)*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14861570.\nAnswer: 2, 5, 17, 87421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 3*k, 5*b + 5*k = 20. Suppose b*a + 20 - 8 = 0. Let z(r) = -41*r + 4. Is z(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 8*q**2 - 3*q + 6. Let h be w(6). Let z be -5*(-3)\/(h\/16). Which is the nearest to 2\/5? (a) -0.4 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 8*q - 7. Let y be i(-4). What is the tens digit of y\/(-45) + (-231)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7996, -18802, -29608, -40414, -51220, -62026?\n\"Answer: -10806*t + 2810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 749969, 749766, 749429, 748958, 748353, 747614?\n\"Answer: -67*g**2 - 2*g + 750038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c**(-6)*c*c*c\/c**(-1\/2)*c\/c**(1\/5) assuming c is positive.\nAnswer: c**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -6 - (2 + -23). Let f = p + -12. Solve f + 1 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*i = -133*i + 1885 + 405 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-16)\/4 + 3. Let w(o) = 7*o**2 + 13*o - 11. What is the tens digit of w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, -0.4, -0.3, -4, 0.021 in increasing order.\nAnswer: -4, -0.4, -0.3, 0.021, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1, 7.\nAnswer: -1, -1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2357564, 2357553, 2357534, 2357507, 2357472?\n\"Answer: -4*d**2 + d + 2357567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 + w**2)*(-2*w**2 + 2*w**2 - 3*w**2) + 0*w**4 - w**4 - w**4.\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98789113\/3478 + 28404. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2.6, -2, -22974 in decreasing order.\nAnswer: -2, -2.6, -3, -22974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/15080 and -97\/260?\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*w**4 + 176*w**2 wrt w.\nAnswer: 1512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/12 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5424 by -1808.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by -1024?\nAnswer: 199\/1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -49. Let m(x) = z + 4 - 16 - x. Calculate m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 11*v**4 + 19*v**3 - 24. What is the third derivative of y(w) wrt w?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 29*y**3 + 17*y - 11. Suppose 16 = 3*b + 2*j, 2*j = 5*b - 23 - 9. Let n(a) = b*a + 13 - 9*a - 11 - 5*a**3. Determine 34*n(q) + 6*z(q).\nAnswer: 4*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (-2 - 15)) + 8\/(-2). Suppose -c*h + 10*h = 0. Solve 3*p + 2*w - 2 = 0, h = p + 2*w + 4 + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 + w + 5. Suppose m - g = -2, 3*g = -m - 3*m + 20. Let u(s) = 3*s**2 + 2. Determine m*l(t) - 5*u(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:09 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**3\/3 + 4*d**2 - 5*d + 2. Let k be n(6). Suppose -k - 9 = -4*s. Solve 2*t - 11 = -3*t - 2*z, s*z = -4*t + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173 + 172.9999919. What is k rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59604347 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 457\/9 - 12\/(-54). Let m = 80 - j. Let s = -48 - -54. Calculate the remainder when m is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 259989472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5007 (base 12) to base 9\nAnswer: 12767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w**3 - 37*w**2 - 9. Determine x(-7).\nAnswer: 1265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02320956398 rounded to six dps?\nAnswer: -0.02321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -50. Let o = -9 - a. What is the remainder when 46 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277062019 to the power of 1\/2, to the nearest integer?\nAnswer: 16645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -82 - -74 - 73.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.274 - 14.574. Let u = 12.3 + q. Which is the closest to u? (a) -2\/13 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llln when four letters picked without replacement from lnnlnnl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - y - 7. Calculate q(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 12*n**2 - 7*n + 3. Calculate the least common multiple of 48 and z(5).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + 1.34. Let l = -7.1 + v. Let j = 1.9 + l. Which is the second smallest value? (a) -3\/5 (b) -0.04 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = -4*j + 30, -w + 3*j = 0. Let a be (-6 + 3)*(-6)\/w. Let v = 11 - a. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12081 is divided by 367.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 196641 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgdggdsgagaag. Give prob of sequence sgaa.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183\/4 - 46. Let p(j) = -j**3 - 4*j**2 + 1. Let k be p(-4). Suppose -k = -5*m - 6. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7487*j - 1130*j + 2058*j.\nAnswer: 8415*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -270 - -285. Let l(g) = 6*g**2 - 29*g + 15. List the prime factors of l(v).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 120026?\nAnswer: -120030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 4*d + 76. Let x(i) = -5*i**2 + 3*i + 57. Let l(p) = -3*n(p) + 4*x(p). Let o(r) = -132*r + 9. What is l(o(s))?\nAnswer: -34848*s**2 + 4752*s - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8679835 in -1\/7, -2, 35?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 659955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*m = -176*m + 65. Let s = 27 - m. Let p = s + -15. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 81321*d - 1. Let z be x(-2). Let c = z - -51643. What is c rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309.51666ns to hours.\nAnswer: 0.00000000008597685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*n**2 + 35*n**2 - n**3 + 3 - 3.\nAnswer: -n**3 - 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 1116?\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 3*n**4 - n**2 + 3*n + 2*n**4 - 3*n + 3 - 5*n**4 + 4*n**4 + 0*n**4 + 5*n**4 - 4*n**4 + 0*n**4 + (-5*n + 5*n - 2*n)*(-n + n - 2*n**3).\nAnswer: 9*n**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*x + 45, -37 = 3*v - 5*x - 84. What is the remainder when 758 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpqqqqqqqqp. Give prob of sequence qqp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**(-1\/10)*s))\/(s\/s**(-1\/13)))**2 assuming s is positive.\nAnswer: s**(3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -39, -60, -81?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 2:28 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0 - 5\/24*d**4 + 0*d + 1\/3*d**3 + 229*d**2. Let q(x) = -4 + 0 - 1 + 11*x. What is -9*k(h) - 4*q(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -26. Let p = 16537 + -16533. Solve 6*q - 2*q + 21 = h, p*q + 4*h + x = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-318)\/182 + (-1647)\/(-1281)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u + 7*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*((-2 + 0 + 1)*(0*u + 0*u - u**2) - 2*u**2 + 3*u**2 + u**2 - u**2 + 0*u**2 + 2*u**2 - 41*u**2 - 35*u**2 + 51*u**2).\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 equal to -3\/259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 475*h**3 + h**2 - 460*h**3 + 1208*h**3 - 274*h**3 + 2*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4020 - 4020. What is the nearest to -1 in u, 1\/5, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 37 = -2*c + 2, -15 = -2*j + c. Suppose 0 = -3*u + u + 3*b + 8, -j*u = b - 3. Is u\/(1\/(-22)*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*w = -48, m - 5 = -2*w + 1. Suppose -h - m = h. Which is greater: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 1 = -10. What is the remainder when 17 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let x(l) be the third derivative of -l**4\/12 + l**3 - 13*l**2 + 2. Give 3*d(s) - x(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2141 (base 5) to base 15\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 7. Let j be s(-2). Let y(l) = -15*l. Determine y(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3635 + 0.5027. Round o to 3 decimal places.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820 - 212 = 26*o + 6*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*6 + 3)**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -1 - 17. What is the lowest common multiple of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 12:28 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9 = -4*w - 35, -5*y = 5*w + 50. Let o(u) = -u**3 - 2*u**2 + 8*u + 7. Is o(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 10 + (0 - 1). Let i(t) = t - 2. Give i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782217 is divided by 7822?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 275.\nAnswer: 4\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -18*l. Let a be v(2). Let d = 9 - -5. Calculate the remainder when d is divided by (4\/(-2))\/(24\/a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*y + 425, 5*y - 120 = 4*y + 3*r. Calculate the smallest common multiple of y and 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632649.\nAnswer: 1632649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from dvcmhvccumum?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-6)\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16\/2800*50*(83 - 0) + (-2)\/(-7)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60319 and 2156?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 12*d - 42. Let v(i) = -2*i - 2. Determine f(x) - 5*v(x).\nAnswer: 2*x**2 - 2*x - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -3, 6 in decreasing order.\nAnswer: 6, -3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2. Let j(p) = p**3 - 4*p**2 - 1. Suppose 2*i = 13 - 3. Determine i*n(u) - 2*j(u).\nAnswer: -2*u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3*a**3 - a**3 + 11 + 0*a**3.\nAnswer: 2*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 774\/(-172)*((-33)\/(-18) - 2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5675 + 5849. Let z = -40 - -62. Suppose -g + z = -4*s. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.2563251 + -7.689875. Let v = 43.566471 - c. Let i = -48 + v. What is i rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = b + 36*q + 42, -b - 82 = -636*q + 639*q for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8812789 by -463831.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*t - 13553 + 1553. Let d = t + -472. Solve -2 = -d*q - 42 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497348612.\nAnswer: 2, 229, 577, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17689.36+760\nAnswer: -16929.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 60. Let h be r\/(-12) + (-1)\/(-2). Sort 0.4, h, 4 in decreasing order.\nAnswer: 4, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 85\/(-8))\/(5\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - p)*((p - 4 + 4)*(0*p + 2*p**2 + 0*p) - 2*p**3 + 0*p**3 + p**3 - 1 + 1 + 2*p**3).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 - 42*x + 26. Let l be m(-11). Solve -17 = l*k - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33064461*z - 33064460*z - 33064450*z + 99193374*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -44 + 63 + 35 + (-1 - (6 + 1))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 17*v**2. Let l be 8\/6*9\/6 + -3. Let s be 0\/(18\/(-15) + l\/(-5)). Let b(y) = s*y + 10*y - 8*y. Give b(t(q)).\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 1}. What is prob of sequence bqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -43 + (-18 - (-15 + 23 + -13))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 15*b + 12*b = -6, 2*b - 4 = 4*z. Solve z = 11*m - 31 - 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5157 - 4962. What is the remainder when 3506 is divided by k?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*b - 2*o - 5, 3*b = 5*o - 6. Suppose 1 + b = w. Let s(p) = -p**3 + 3*p**2 + 4*p - 1. Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/12 and -77\/989106.\nAnswer: 1978212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by -1*-40*(-4 + (-9)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let g be j(10). Suppose 3 - g = -3*b. Let u(o) = -815000*o. Let y be u(b). Round y to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 538.\nAnswer: -11\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8448 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**2 - 2*f + 1. Let t be y(1). Let i(g) be the first derivative of -5*g**2\/2 + 1. Is i(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**2 + 3*o - 8. Is d(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + -2*sqrt(2)) - (1*sqrt(200) + sqrt(162)*-2) - (((sqrt(200)\/sqrt(4))\/sqrt(5))\/sqrt(5) + 1 + 5))**2.\nAnswer: -1368*sqrt(2) + 2018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16686631287 + 0.02.\nAnswer: -16686631286.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4050910 or 4050906?\nAnswer: 4050906","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 >= 627.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/(-3) - -6) + (-85)\/(-3). Suppose -8 = 5*x - v, -2*r + 22 = 2*x. Solve 3*b + r = -5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -20. Let m = -6 - l. Let c = m - 7.052. What is c rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1043e?\nAnswer: -1043c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282\/32471 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.23 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a0b6 (base 14) in base 5?\nAnswer: -21300024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20113274 divided by -37?\nAnswer: 543602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 2. Let a be j(-2). Suppose 0 = 2*f - 5*f - 9. Let o = a - f. What is the remainder when 37 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -3*i**4\/22 + 218*i**3\/11 + 663*i**2\/11 + 666*i\/11 - 294. Determine r, given that w(r) = 0.\nAnswer: -1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 + 5.33. Let y = -5 + u. Let r = y + -0.52. What is the biggest value in 1, -5, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -121. Suppose -39 = -2*r - 3*h, h = -2*h - 3. Calculate the remainder when j is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 less than -113.38890936609?\nAnswer: -113.54890936609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077939 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 14*h = 9462. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112021110013 - 2?\nAnswer: -112021110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -534887*f**3 - 674606 wrt f?\nAnswer: -1604661*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 23*m - 1. Suppose 40 = -5*n + 155. Let p be r(n). Sort 3, 13, 0, p in descending order.\nAnswer: 13, 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26892863*a - 1733477?\nAnswer: 26892863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from lnbdnl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 363095769 a multiple of 1401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1751 and 8670.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 1. Let i(h) = 23*h**2 + 29*h + 6. Let f(w) = 6*b(w) + i(w). Find the second derivative of f(g) wrt g.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52609\/109032 + -1\/1848. Let a = -1\/59 + t. What is the third smallest value in 2, -1\/4, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*i**2 - 34*i - 26*i + 60*i to the form j + m*i + u*i**2 and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 15, -z + 2*s = -0*z - 9. Suppose 4*a - 20 = 0, -11 + 40 = z*n + 4*a. Suppose 10 = n*h - 17. What is the highest common divisor of h and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 10. Let p be ((-14)\/(-4) - -2) + (-15)\/(-30). Suppose 5*d - 4*v = 40, -p*v - 5 = -5*v. Let n be 10\/d*(-16)\/5. What is b(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/12885 and -24\/9449.\nAnswer: 141735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 10. Let n be 108\/o - (-1)\/(-5). Let x = 17 + n. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29829 - 0.00171. Let g = 1 - 3. What is the smallest value in g, 2, -1, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -51. Let l be ((-526)\/(-3))\/(7\/q). Suppose 3*j = -i + l - 2, -885 = -5*j - 4*i. Calculate the remainder when j is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1588 + 1588.03324. Round a to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, 61, 93, 147, 229, 345, 501, 703?\n\"Answer: u**3 + 2*u**2 + 3*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 84\nAnswer: -84.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.50655 minutes in hours?\nAnswer: 1.0084425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2\/9, -4.\nAnswer: -5, -4, -3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -13 + 8. Suppose 3*x - 137 = -b*i, -i + x + 29 = -0. Suppose -15*l - i = -19*l. Calculate the highest common divisor of l and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/7141404 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 13 + 213 = 0. Suppose 4*w = 0, 29*w - 28*w + p = -5*b. Suppose -2*h + 15 = 3*q, -2*q + 3 = -0*h - h. Sort q, b, -2.\nAnswer: b, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 7*w + 7*w)*(0*w - 3*w + 0*w)*(33*w - 14*w + 3 - 15*w) to the form m*w**3 + n*w**2 + o*w + j and give m.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911324269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145736011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-3) + (-1)\/(-2)*200\/300. Suppose l - 5*b = -b - 7, 4*b = 5*l + 51. Let w = -4 - -8. Put w, l, f in increasing order.\nAnswer: l, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2107, -3, -0.08, 2\/5, 1, 5, 2 in increasing order.\nAnswer: -3, -0.08, 2\/5, 1, 2, 5, 2107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4 - 10. Let s(v) be the first derivative of r - 3 + 40*v**3 - 43*v**3. Let f(w) = -w. Determine s(f(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7757, -31387, -70787, -125957, -196897, -283607?\nAnswer: -386087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*m - 5*d, -3*d + d = -2*m + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347 - -386. Let i(q) = a - 5*q + 5*q**2 + 2*q**3 - 96 + 53. What is i(-4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 38*h + 42. Let f be x(10). Let c = -413 - f. What is the least common multiple of c and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)\/(1 - 2). Suppose q = t + 4, 4*x = t + t + 28. Calculate the smallest common multiple of 11 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 120, 337, 756, 1443, 2464?\nAnswer: 3885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/71555 and -111\/91070.\nAnswer: 1001770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31255 by 47.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 417302396 to the power of 1\/2, to the nearest integer?\nAnswer: 20428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.36014 - 5.16064. Round c to two dps.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5101 - 0.7101. Suppose -5*k + 4*i - 29 = -0*i, 5*i = 5. Let x = k + 79\/16. Put a, 1, x in increasing order.\nAnswer: a, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**2\/2 + 13*i + 4. Let t be g(12). Let q(s) = s - 1. Suppose 2*a = 3*a + 2. Let v(r) = r. What is a*q(d) + t*v(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1748.46 and -0.13.\nAnswer: -1748.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 655390912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1575\/70*(-2)\/(-3). Let z(u) = u**2 - 15*u. Let k be z(y). Let s be 2\/12*(-3)\/(-3). Is k < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:40 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 425 = -131. Let x = n + 53. Solve 0 = x*r - 20, -3*h - 7*r + 11 = -3*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.9. Let u = 0.3 - i. Let f be 1 - -1 - (3 - 2). Is u equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a**2 + 344*a - 204. Give i(24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-22) + (23 - (1 - -20))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0837429 millennia?\nAnswer: 0.837429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124730823 is divided by 373?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 8. Let k be n(-8). Suppose k = -2*d, -2*d + 7 = -4*w - 9. Calculate the remainder when 43 is divided by 16 + (2 - (7 + w)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + z**3 - z**3 + (-z + z - z**3)*(-2 + 3 + 1) - 5*z - z**3 + 5*z - 146*z - 3*z**3 + 17 + 146*z.\nAnswer: -7*z**3 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 14 = -6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-332538)\/(-36) - 2\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16334642?\nAnswer: 2, 19, 409, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33731?\nAnswer: 89, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*k = -21*k + 5*z + 311, 4*k + 809*z = 816*z - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 - 4*k - 2. Let n(b) be the third derivative of b**5\/12 - 5*b**4\/24 - b**3\/3 + 6*b**2. Determine -5*g(i) + 4*n(i).\nAnswer: -10*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -671 times 0.04\nAnswer: -26.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13))**(-46) assuming g is positive.\nAnswer: g**598","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -17*i**2 - 6. Let w(h) = -17*h**2 - 7. Let c(r) = 5*q(r) - 6*w(r). Let v(t) = 4*t**2 + 3. Let f(p) = 2*c(p) - 9*v(p). Differentiate f(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*b + 24*b + 11*b)*(1 - 8 + 2) as r*b + l and give r.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*l = -3*l + 2, -x - 2*l + 2 = 0. Let u be 4\/10 + 156\/(-15). Let h be (2\/(-5))\/(2\/u). Solve 0 = -b - h, x = 4*d - b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6301473 and 1939?\nAnswer: 44110311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*h + 2*r, 9*h + 12 = 12*h + r. Suppose -d + 1 = h*l - 7, l = 3*d + 6. Let x(q) = 8*q**2 + 2*q - 2*q. What is x(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**5\/4 - 1615*v**4\/6 + 5*v**3\/6 + 1615*v**2 - 5188*v. Factor f(a).\nAnswer: -5*(a - 1)*(a + 1)*(a + 646)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12019760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 18554424 divided by -24?\nAnswer: -773101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, t: 3, s: 3, p: 1}. Give prob of picking 1 p and 3 t.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9325\/6 + -1560. Let r = -11889\/1870 + -64\/187. Calculate the common denominator of y and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18150614 is divided by 78574.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 366054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(j**3 - 3*j**3 + j**3) - 5*j**3 + 0*j**3 - 2*j**3 + (-29*j + 58 - 58)*(-4*j + 4*j + 3*j**2).\nAnswer: -96*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5518598 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/178405681?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 601476391 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 64*q - 2*q**4 - q**3 - 65*q - 2*q**3 - 5 in the form r + w*q**3 + y*q + b*q**2 + n*q**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 31*q**2 + 25 - 19 - 35*q**2.\nAnswer: -4*q**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5*(-24)\/60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87076 is divided by 407.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.272 less than 0.9?\nAnswer: -6.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 6*j**2 + 4*j + 5. Let x be a(5). Suppose x = m - 4, 2*d + 2*m = 3*m. Are d and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000480551 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130953 is divided by 901.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {d: 2, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*q + 19260 = 260*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + q)*(24*q - 6*q + 4 - 15*q).\nAnswer: -6*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -5*s - 4*i, 3*i - 5 = -2*s. Let j = 0.85 - 0.65. What is the second smallest value in -2\/13, s, j?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*n - 241*n + 298*n as o*n + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:16 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145 or -389550\/2683?\nAnswer: -389550\/2683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/49050885 and -4\/147152655?\nAnswer: 147152655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.1. Let d = -0.131 - -3.091. Let h = d + 0.04. What is the second smallest value in 2, b, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -25134164\nAnswer: -3\/25134164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (1 - -13))\/(2\/8). Let w be (4 + g\/8)*2. Let o(r) = r**2 + 4*r - 1. Calculate o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 334 and 2?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1078*v - 59769 + 59769)*(5 - 5 + 4 + (3 - 1 + 0)*(-2 + 2 - 1) + 1 + 3 - 2) + 1 + 2*v + 1 - 5*v to k*v + g and give k.\nAnswer: 4309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2 + 0)*(-3 + 1 + 1)*((-1 + 3 - 1)*(-5 + 5 - 2*c) - 80*c + 117*c + 2249*c) in the form b + m*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1110012312?\nAnswer: -1110012303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3.86. Let a be 22 + -27 - 19\/(-4). Are n and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfffnfifkfn. What is prob of picking 1 n and 2 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 464.7967 weeks in seconds?\nAnswer: 281109044.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q + 42. Find the common denominator of ((-114)\/(-48))\/(2\/20) and (-4)\/q*(-75)\/(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 219. Let i = 118 - y. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*h**2 + 61*h**2 - 25*h**2 to the form d*h + m + c*h**2 and give c.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7*u**3 - 2 + 5.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a factor of 367000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 1) + -3 - (126 + (-15 - (-28 + 26)))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/(b*b*b\/b**12))\/b*b)\/b*b)\/b*b*b*b**2*b**(1\/6)*b*b\/(b\/(b*(b**11\/b)\/b*b*b)) assuming b is positive.\nAnswer: b**(163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8325*f - 16148*f + 9236*f - 7 in the form u*f + m and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8467190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 4:40 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15803, -15802, -15801, -15800, -15799, -15798?\nAnswer: -15797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = 5. Suppose 30 = -10*p + d*p. Let n = p + 34. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -844 and 1009035882.\nAnswer: 1009035038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*y - 15, -r + 22 = r + 4*y. Let o(z) = 197*z**2 - 2 - 125*z**2 - 70*z**2 - 3*z. Give o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, b: 7, q: 2}. Give prob of picking 1 b and 1 q.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 37*y - 17. Let g be w(2). Calculate the greatest common factor of 456 and g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/2*(-4752)\/(-45). Suppose -96 = -4*j + h. Suppose j = 5*g - 3*y, -y = 3 - 1. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 44139*q + 1948251321\/2.\nAnswer: (q - 44139)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*y + y, 0 = 5*g + 5*y + 15. Suppose 2*v - 3*v + 5 = -g*p, 1 = -v - 4*p. Solve -5*j - 19 = -3*l, 23 = -v*j - 3*l - l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 - 36788*w**2 + 8038908*w + 8075700 = 0. Calculate w.\nAnswer: -1, 225, 8973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 1 = 6. Let g = 24 - 9. Let o be g\/(-5) + (-5099997)\/m. Round o to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 12 = -h + 5, b + 4*h + 439 = 456 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-91450)\/(-240) + 18\/(-432) is divided by 68?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t. Let m(r) = 3*r**4 + 6*r**3 - 6*r**2 - 3*r. Let i(p) = -m(p) - 3*o(p). Let i(q) = 0. Calculate q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5576787 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000037176875 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2847 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4835*o - 4992*o - 13929 = 8836 for o.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74883892*o**3 - 617006143*o wrt o.\nAnswer: 449303352*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1051 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4653000 and 94\/21375.\nAnswer: 88407000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 11*s**2 - 9*s + 1. Calculate the remainder when 21 is divided by b(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 10) + 0 + 1 - (2 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*o + 412*o + 22644 = 115*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94092555 from -10401.3.\nAnswer: -94102956.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -r + 106, 9*n = n + 12*n + 4*r - 36 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 394*b + 392*b, -70 = -11*j + 16*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 10, -7 in ascending order.\nAnswer: -7, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w - w + 8*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/(-8)*(-64)\/12. Let y = -173 + 235. Let z = x + y. What is the nearest to z in -3\/8, -9, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9825 - -17080. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 9, 23, 45, 75, 113, 159?\n\"Answer: 4*o**2 - 6*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-600) + 2742\/(-144)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/(-4))*49\/(539\/(-66))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 46 (b) 2\/5 (c) -2 (d) 17 (e) -0.4 (f) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*i + i - 1173, 5*i - 25 = 0. Let p = s + -206. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((5\/(-25))\/((-12)\/192))\/((-2)\/(-2270)). What is the greatest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.69759 times 0.3?\nAnswer: 8.609277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 12) to base 4.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3\/223, 0.1, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -59047235\/4 smaller than -14761809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 - r. Let l(x) = -2*x + x + 0*x**2 - 2*x**2. Let g be l(-1). What is h(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3504 is divided by 129?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10622506?\nAnswer: 2, 83, 89, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 349 times 0.07\nAnswer: 24.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(5) - sqrt(3)) + sqrt(432) - 1*(-2*sqrt(108))**2) + 4.\nAnswer: -428 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 1 - 1. Solve 0 = 2*q - 2*w + 4*w, 4*q + 3*w = r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by (6681\/(-459))\/(4\/(-36))?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -513 and 135.\nAnswer: -69255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -561 - -562. Is -25.9 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 51 - 10 + (-4 + 1 + 1)*(-7 + 3 + 3) - 4 - 5 - 10)*(-2*y**2 - y**2 + 2*y**2).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5035861*u + 11257573 wrt u.\nAnswer: -5035861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1544 and 11387?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 454 - 222. What is the highest common divisor of p and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13170 divided by -2.\nAnswer: 6585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 63 = 87 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-5) + (-43992)\/(-235) is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d73d1 + -1?\nAnswer: 7d73d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -3*k**3\/2 + 234*k. Let s(g) = -16*g**2. Determine s(h(a)).\nAnswer: -1296*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c - 2*c)*((-c + 0*c - c)*(0 - 1 + 2) + 1 - 1 - c - 335*c + 476*c + 177*c + (0 + 0 - 1)*(-c + 3*c - c) - 2*c + 1 - 1).\nAnswer: 312*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o**3\/3 + 4388*o**2\/3 + 349598*o - 150096 = 0 for o.\nAnswer: -159, 3\/7, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1154672 - -2057288.05.\nAnswer: 2057288.1654672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52935*j - 446*j**3 + 52935*j.\nAnswer: -446*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*p*u**3 - 20*a*p*y**2 + a*u**3*y**2 - p*u**3*y - 2*p*u**2*y**2 + p + 29*y**2 wrt a.\nAnswer: p*u**3 - 20*p*y**2 + u**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, l: 2}. Give prob of sequence hl.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n - 37. Let k be a(4). Is 7 a factor of (7 + -7 + 3)*65\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 11. Let d(u) = u**2. Calculate d(q(w)).\nAnswer: w**4 - 22*w**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -1)*(-12)\/8. Let w(a) be the second derivative of -1\/2*a**3 + 0 + 0*a**2 + 1\/6*a**4 + 1\/20*a**5 + a. Give w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 4*n**2 - 4*n. Let h be c(-3). Suppose -h*x + 3*u = 6, -x = -2*x - 3*u + 14. Solve -z - x*z = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121855*b**3 - 22302*b**3 + 83434*b**3.\nAnswer: 182987*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + i - 10, -9*k + 42 = -6*k - 5*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {m: 1, v: 1, e: 1, k: 1, a: 2, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*q - 103 = 0, 43*q = -y + 46*q - 72 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + v**2 + v + 14. Let q be k(0). Find the second derivative of -8*y**2 - 5*y**4 - 2*y + q*y**2 - 6*y**2 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.244 times -1.58\nAnswer: -3.54552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578173 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 17, 42, 79, 128?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -376*w - 13. Let b(g) = -751*g - 26. Give 3*b(j) - 5*s(j).\nAnswer: -373*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*m + 81, 6*m - 2*m = 3*c - 66. Solve c*r + 82 = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-32)\/(-80) - 104\/30*3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 29*v**3 + 13*v**2 - 8*v**2 as m*v**2 + p*v**3 + l*v + u and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.39963ml?\nAnswer: 0.00939963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -122*v**5\/5 - 1680*v + 3738. Differentiate l(m) wrt m.\nAnswer: -488*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = -3*z + 44 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from nwkkwwwwwnkkwwk?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1747\/(-2) + 19\/(-38). Let x = 1265 + u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2747*s**2 + 1250*s - 19. Let q(f) = -5490*f**2 + 2500*f - 47. Let u(h) = -5*c(h) + 2*q(h). Find the second derivative of u(z) wrt z.\nAnswer: 5510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 - 5 = 0. Suppose -4*m + 2*i = -14, u*m - m = -i + 8. Find the second derivative of 5*d**m + 5*d + d + 0*d**5 wrt d.\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 5*r + 62, r + 118 = -5*k. Let b = k - -50. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -35*y + 2 - 3\/40*y**5 + 0*y**2 + 1\/60*y**6 + 1\/3*y**3 + 0*y**4. Factor v(b).\nAnswer: b*(b - 2)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 3*i + t, -3*i - 2*t + 54 + 62 = 0. Let b be i\/6 + -2 + (-8)\/12. Let r(x) = -b*x**2 - 9*x**3 + 8*x**3 - x + 2*x**3 + 6*x - 2. Calculate r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6874307 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 264, 281, 320, 387, 488, 629, 816, 1055?\n\"Answer: g**3 + 5*g**2 - 5*g + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27729176 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3128 and 2024.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1356606 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.1 - 7. Let f = -3.1 + -3. Let x = f + p. Which is the second smallest value? (a) -4 (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 9*v**2 + 2*v - 9. Suppose 4*o = -2*u + 26, -4*u + 9 = 4*o - 7. Let b be j(o). Suppose 8*d - b*d = -8. Solve 8 = -4*l - d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 0.3 (c) -5 (d) -2 (e) 4\/16321 (f) -1 (g) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = -37*f - 798 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14426 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9*k**2 + 25*k**3 + 11*k**2 + 2 in the form g + d*k**3 + b*k**2 + x*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2440, 4853, 7200, 9445, 11552, 13485?\nAnswer: 15208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00944919 to four decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 6299 + 11543 = 0. Is n smaller than -8116\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206352 or -206462?\nAnswer: -206352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164827, -164861, -164895?\nAnswer: -164929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54386 + 91077. What are the prime factors of l?\nAnswer: 36691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -81*o + 30. Let h(w) = -8*w + 3. Give -2*a(i) + 21*h(i).\nAnswer: -6*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 9*v - 1. Let l(z) = -3*z - 2. Let o be l(-2). Let a(b) = -b. Let x(q) = o*a(q) + s(q). Suppose -105 = 59*u + 190. Calculate x(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*t**2 - 191 + 617*t**2 + 191.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 + -215. Let o = 201\/2 - 104. Let f = -45\/14 - o. Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 0 - 12*y**2 - 1 + 0.\nAnswer: -10*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 18*y - 23. Give f(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:54 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -1 - (3 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69.34749 millilitres?\nAnswer: 0.06934749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**4\/24 + r**3\/6 + 11*r**2. Let v(f) = f**2 - 2*f - 9. Let n be v(-3). What is d(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10205 and 442845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 442333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116.3400038568 - 116.34. What is w rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwnv when four letters picked without replacement from wnvnvnvnuuuny?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253 + -112. Does 47 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 251*v - 1372. What is the remainder when w(6) is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 744061\nAnswer: -54\/744061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:34 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3348, -13400, -30138, -53550, -83624?\nAnswer: -120348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302106*y + 302054*y = 1092 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b09 (base 14) to base 15.\nAnswer: -16c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10278*g - 4692. Let l(b) = 4111*b - 1885. Let x(k) = -12*l(k) + 5*t(k). What is the derivative of x(n) wrt n?\nAnswer: 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 + 0 + 1)*(7*y - y - 4*y) - y + 2*y + 0*y)*(5*y**2 + 5*y**2 - 3*y**2).\nAnswer: 147*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zze when three letters picked without replacement from {z: 3, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q - 4*q)*(-82 - 125 - 2 - 52).\nAnswer: 522*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.9. Let q = -1.3 - n. Let j = 102.399 + -102.899. Which is the second biggest value? (a) 4 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = -11. Let q(u) = 0 - u**2 - u - 2 - p*u + 0. Calculate the remainder when 37 is divided by q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*l**3 - 23*l**3 + 883038*l**4 - 883039*l**4 - l**2 - 2 + 29*l**3 + l to j + w*l**2 + p*l**3 + t*l**4 + d*l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c - 6*c - 2 + 9*c)*(3 - 4 - 1)*(-5 - 6 + 3).\nAnswer: -32*c - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g - 76 + 26 + g + 25 + 23. What is w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 230*n**3 - 660*n**2 + 650*n - 215 = 0. What is n?\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 72 - -25) + 26 - ((39 - 0) + 0).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 27. Determine k(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 9 + 11. Sort 2, -49, o.\nAnswer: -49, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 15569 + 15569 - 2*z + 2*z. Let p(n) = 135*n**2 - 8*n. Give p(k(d)).\nAnswer: 540*d**4 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 7*x + 363. Let v(w) = 13 - 14 - 32*w + x*w. Suppose -2*a + a + 6 = 0. Determine v(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.937988l?\nAnswer: 8937.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {u: 1, w: 12}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 7*x + 15. Let h be u(-8). Calculate the highest common factor of 46 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d - 44 = 388 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742.4 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 19464173*q**2 + 94713458983031*q + 473567781519605.\nAnswer: (q - 9732089)**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 + 3 = -5*z, -3*u + z = -16. Suppose b = u - 1. Suppose 4*n + 120 = b*n. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = q + 8, 5*b - 9 = 2*q + 10. Let u(j) = -j**2 + 3*j - 1. Let a be u(2). Suppose a = s - 7. What is the remainder when s is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10151 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 542, 1741, 3738, 6533, 10126?\n\"Answer: 399*a**2 + 2*a + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 16. Let j be d(0). Let a = 20 + j. What is the smallest common multiple of (-514)\/(-10) + 27\/45 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7941922 divided by -11?\nAnswer: -7941922\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6413)\/(-212) + (1 - 6\/(-8)). Suppose -64 = -4*l - 0*l. What is the greatest common divisor of s and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -641 - -641.1013. What is l rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29821.258 to the nearest ten.\nAnswer: -29820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 21*y**2 - 24*y - 42. Give q(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 20*o**2 + 7*o + 4. Let w(d) = -21*d**2 - 8*d - 5. Let i(p) = 6*g(p) + 5*w(p). What is the lowest common multiple of i(1) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a - 3*v - 39, 5*v = -2*a + 12. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose 4*g + 26 = 2*n, t = -n - g + 4*g + 14. Suppose 3*v = l + 2 - 1, -5*v = -l - n. Solve -2*m = -4 + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/12 + 7*q**4\/24 - 2*q**3\/3 - 2*q**2. Let i be z(4). What is the common denominator of 2\/(-7) - (-2420)\/i and -127\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 10:34 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4203*k**2 - 5*k + 11. Let j(m) = 2099*m**2 + 3*m - 6. Calculate -5*h(y) - 9*j(y).\nAnswer: 2124*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) - (0 + (sqrt(112))**2 - sqrt(7)) - (sqrt(7) + sqrt(7) + -1 + 4) - 5*sqrt(252)).\nAnswer: -114 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 19. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 386145 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k - 1. Suppose 4*h - 1 = 11. Let q be j(h). Calculate the highest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -6*p + 105, -11*p + 2686*b - 1343*b - 1346*b = -174 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136519116.\nAnswer: 2, 3, 11376593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/100)\/((-27)\/10). Let k = 3 - 2.9. What is the nearest to k in -0.4, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 148509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15653957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 140, 571, 1290, 2297, 3592, 5175, 7046?\n\"Answer: 144*c**2 - c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*l + 172*l - 6*l**2 - 4*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-466)\/(-3495) + (-262)\/(-60))\/(-2 + (-101)\/(-52))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -1\/3, 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1241, 1214, 1171, 1112?\n\"Answer: -8*t**2 - 3*t + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*m**2 - 10*m**2 + 501*m - 2*m**2 - 501*m + 212 wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104120394 a multiple of 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454 - 7716\/17. Let t = u - -181\/51. Find the common denominator of t and -45\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/8 + 76\/(-18) + -11 + 4.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5095188524?\nAnswer: 2, 17, 29, 2583767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, s: 8, q: 3, w: 1}. What is prob of picking 2 s, 1 m, and 1 q?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 + (3 - 2 + 1)*(-1 + 0 + 0) + 4 - 1 - 4 + 1 - 1 - 2)*(5*h**3 + 13*h**3 - 2*h**3).\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 3, g: 1, f: 3, w: 4, j: 3}. Give prob of sequence wjg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**3 + v**2 - 5*v - 12. Let r(b) = b**3 + b**2 - 1. Let a(l) = -p(l) + 6*r(l). Determine a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -37, -15, -10 in decreasing order.\nAnswer: -10, -15, -37, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 124?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 179 - 188 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 6*t**2 - t - 4. Let g be d(-6). What is the common denominator of (1\/3)\/(20\/(-498)) and (g\/32)\/((-2)\/26)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -32*w**2 - 81*w. Let l(y) = 6*y**2 + y. What is 5*l(i) + p(i)?\nAnswer: -2*i**2 - 76*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l + 0 + 1\/60*l**5 - 1\/24*l**4 + 0*l**3 + 8*l**2. Let q be b(-1). Solve 6*x - q*x + 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {z: 5, c: 2, o: 9}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/7 - 6050*g\/7 - 12092\/7 = 0. What is g?\nAnswer: -3023, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 36*o - 277. Determine h(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 190922 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 11*k + 35. Let i(q) = 5*q + 11. Let a be i(-1). Let l be m(a). Solve -l*o + 16 = -9*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 2.7. Let j = 0.05 - 4.05. Let u be (6\/(-20))\/(8\/10). Which is the third biggest value? (a) o (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 16) in base 11?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 126776.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1300*j + 87 - 46 - 43 - 264*j to i*j + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3728 (b) -3\/4 (c) -13\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1331406, 1331600, 1331926, 1332390, 1332998, 1333756, 1334670?\nAnswer: 1335746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 15*h**2 + 20*h + 13. Determine i(16).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1 - (-5 - 31). Let l = u - 18. Let a = l - 18. Let w(o) = 17*o**2 + 2*o - 1. Determine w(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 12. Let l = i + -7. What is the smallest common multiple of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 145*v + 1459. Calculate u(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/13)\/k*k*k*k*k*k**(2\/41))\/(k**(-14)\/k*k**15) assuming k is positive.\nAnswer: k**(2076\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 23\/4*d**3 - 5*d**2 - 7\/4*d**4 + 0 + d = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/75523811 and -21\/75523811.\nAnswer: 75523811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 - 0.17. Let p be -1 + 0 + -1 + 5. What is the smallest value in x, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 5940466.\nAnswer: -5940466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*b**5 - 3*b**4 + 6*b - 8 wrt b?\nAnswer: 2660*b**3 - 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 0, -807 in ascending order.\nAnswer: -807, -1, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160699519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 + 2584*r**2 - 17*r. Let c(z) = -z**3 + 431*z**2 - 3*z. Let x(u) = 6*a(u) - 34*c(u). Determine n, given that x(n) = 0.\nAnswer: 0, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 3. Let p(b) = -b**2 - 7*b - 5. Let i be p(-7). Let t(k) = -2*k + 3. Let z(x) = i*g(x) + 6*t(x). Let n be (-4)\/((1 - -1) + -1). Give z(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5383\/1044 + -35\/348. Calculate the common denominator of g and 5\/192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -295*s - 273*s - 77*s - 27*s as p + k*s and give k.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/2 - 396*y - 96558 = 0. Calculate y.\nAnswer: -154, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/234585 and -10?\nAnswer: 234585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 43*c**2 - 2*c + 139. What is q(20)?\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 7*u. Suppose u = -k - 2 - 3, -5*k - 50 = -f. Solve f = -5*p + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(80))**2 - (-1*sqrt(80)*2 - sqrt(80)).\nAnswer: -20*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 26 - (-6 - ((-148 - 9 - -11) + 7))?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*t - 6 = -6*t, 5*t = 5*p - 30. Suppose p*w + 0*w = 30. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*y + 1588 = 0, -2*u + y = 5*y + 638. Let z = 2\/183703 - 466421933\/1469624. Let j = u - z. Which is the smallest value? (a) -3 (b) -2\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*r - 35 = -132*r + 5*s, -3*r = 8*s - 61. Solve -n = 5*q + 14, -r*n = -11*n - 2*q - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 64*i - 485. Determine x(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/(-189) - (1 + (-71)\/36). Let r = -12 + 41. Let a = -53 + r. Sort b, 0.1, a in ascending order.\nAnswer: a, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29508451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p. Let f = -56 + 62. Let z(h) = -h. Calculate f*z(c) - r(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x, 20 = 5*g + 5*x. Solve 2*z + 11 = 5*f, -28 + 11 = -5*f + g*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 4 (c) -0.2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d**2. Let b(o) be the second derivative of o**4\/6 - 8*o. Determine b(r(j)).\nAnswer: 392*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 14, -4 in descending order.\nAnswer: 14, 5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -61*c - 8110. Let i be y(-133). Solve 6*r - 1 = 7*r + w, -i = r + 2*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 103990*w**3 - 26*w**2 + 286*w - 26. Let g(a) = 20798*a**3 - 5*a**2 + 55*a - 5. What is 26*g(u) - 5*i(u)?\nAnswer: 20798*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 6 = 4*s. Suppose -5*f - 38 = 7. Calculate the smallest common multiple of ((-6)\/f)\/((-2)\/(-3)) and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = k - 2*f, -68 = 3*k - 5*f - 52 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a factor of 360761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o**(-4)\/o)\/o)\/(o**(-2)*o*o*o*o))\/(o**(-2))**(-4\/5) assuming o is positive.\nAnswer: o**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 2. Let d be t(4). Let l be 470\/(d\/(1 - 0)). Suppose a + 0*a - l = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10326 + -10323. Solve m*r + 20*b - 15*b - 12 = 0, 14 = -2*r + 4*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 7*z + 189. Solve z*f = -9*f + 20*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgiw when four letters picked without replacement from {g: 1, w: 11, i: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 + -8 + 4 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399 + 408. Let w(m) = -1 - 2 + 9*m - 4*m + 7*m. Let o be w(x). What is the highest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10102200122120 (base 3) in base 5?\nAnswer: -431340212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + -21*(-5)\/45. Put 1, -0.2, -2\/5, k in increasing order.\nAnswer: -2\/5, -0.2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) -3634\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7125 and 241965.\nAnswer: 6049125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.2 + 7.884. Let h = -2.684 + y. Let l = -0.06 + 0.09. Put 2\/13, l, h in descending order.\nAnswer: 2\/13, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 224, 754, 1622, 2828?\n\"Answer: 169*u**2 + 23*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4874 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 469 in -2\/7, -7\/100, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2236, 4 in increasing order.\nAnswer: 0, 4, 2236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*x - 13 = 0, -5*u + 131*x + 71 = 127*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 147*h + 1742.\nAnswer: (h - 134)*(h - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 3822777400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54)\/9)\/(5\/(-3) - 5\/15). Solve 40 = -s*r + 11*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1027 + 1027.00081701. What is u rounded to five decimal places?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0359170854 rounded to 6 decimal places?\nAnswer: -0.035917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*h - 3*c - 13, 4*c - 4 = -4*h. Solve -h*w = 4*s - 4 - 7, -3*s + 2 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-48756))\/(0 - 1\/4). Let o = 93409\/81260 - y. Find the common denominator of o and -13\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1186.015 and 134.017.\nAnswer: -1051.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/291? (a) -87\/2 (b) -5 (c) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -35*v**2\/2 + 24. Let q(w) = 2*w. Determine y(q(j)).\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 7*g + 3. Let s be a(-7). Let c = s - 0. What is x in -5*x**4 - 5*x**3 + x**5 + 7*x**4 + 5*x**3 + x**c = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2. Let b(u) = -u + 12. Let i(n) = -4*n - 13. Let q(x) = -3*b(x) - 3*i(x). Calculate r(q(f)).\nAnswer: 900*f**2 + 360*f + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/35)\/4)\/((-1048)\/160*8).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -600588 + 1?\nAnswer: -600587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317931.329 rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88? (a) -313 (b) -3 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 5:01 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -6*sqrt(272)*4)\/sqrt(8))\/((sqrt(864) + 4*sqrt(864))\/sqrt(3)).\nAnswer: -23*sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*d - 13 - 2, 5*d + 25 = z. Let q(r) = r**3 - r**2 + r - 1. Let o be q(z). Which is the second smallest value? (a) o (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:39 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - 55. Let g be (-3)\/5 - 299\/w. What is the highest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1. Let p(u) be the first derivative of -u**2\/2 - 4*u + 85. Calculate 6*g(d) + 2*p(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u + 72*u = 765. Let f = u + -255. Suppose -7 - 5 = -4*h. What is the nearest to f in 1, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12693*w**4 - 6 + 15 + 1 - 35*w**2 + 205*w**2 - 86*w**2 wrt w?\nAnswer: -304632*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 262 = -4*t, t - 2*h = -3*t + 264. Calculate the remainder when (((-6272)\/12)\/8)\/((-11)\/33) is divided by t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 13*o**2 - 8*o + 74. Let q be w(-12). Sort -2, -4, -1, q in increasing order.\nAnswer: -4, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/32 and -23\/20144.\nAnswer: 40288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/((-2)\/(-18)). Suppose 2*d - r = 5*d. Is 7 a factor of 6 + (-1)\/d*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 - -100312133?\nAnswer: 100311300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*g**5 + 197502*g**4*k - 210*g*k + 3*g - 8 wrt g?\nAnswer: 220*g**3 + 2370024*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i + 15 = -2*q, -2*i + q + 6 = 0. Suppose -g = i*g - 436. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112111221 (base 3) in base 8?\nAnswer: 207777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 - 35*i - 3. Let f(q) = -5*q**2 - 70*q - 7. Determine -2*f(o) + 5*k(o).\nAnswer: -5*o**2 - 35*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/6 + -73\/12. Let q = n + -19\/20. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.08. Let l = v - 0.44. Let j = 6787 - 81445\/12. What is the fourth biggest value in l, 4\/9, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14 and (-84)\/(-40) - 8\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 1}. What is prob of picking 2 s and 1 f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3609 and 53\/27.\nAnswer: 10827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*n - 17 + 49 - 27 + (-20 - n - n + 37)*(5 - 4 - 3) in the form d + u*n and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*y + 90 = 0, 420 = 4*o + 508*y - 519*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l*p**2*x**3 + 3*l*p**2*x - l*p*x**2 + 4*l*x**3 + 5*p**2*x**3 - 3*x**2 - 1 wrt x.\nAnswer: 18*l*p**2 + 24*l + 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142022 is divided by 59.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/3)\/2)\/(3268\/(-172))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 1, z: 3, d: 1, k: 1}. What is prob of sequence zvz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krkq when four letters picked without replacement from xqxqxxqqgxkqxxqrqxxk?\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/8 and -83\/339148?\nAnswer: 678296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 904 and 68591?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-16))\/(2\/404). Which is greater: z or -304?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*b + 1429, -513 = -2*h - 2*b + 61. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 16 = 14*d. Suppose d*v - 815 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*q - 145*h**2 + 4*h + 23*q wrt h.\nAnswer: 4*q - 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -3.6. Let x(i) = -i - 10. Suppose -5*f + h = 18 + 18, 12 = -2*f + h. Let g be x(f). Which is the closest to -2\/9? (a) -0.1 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6416226167.\nAnswer: 13, 493555859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 5069*s\/3 - 4387120.\nAnswer: (s - 6960)*(s + 1891)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -25.89 in increasing order.\nAnswer: -25.89, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**1*i*i**7*(i\/(i**(1\/4)\/i)*i)**(-38))**(1\/24) assuming i is positive.\nAnswer: i**(-63\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5\/15*-8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1838909402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*10\/9*-3. Let n be ((-16)\/s)\/((-1)\/15). What is the tens digit of 1410\/27 + n\/(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + ((3*sqrt(3300) - sqrt(3300)) + sqrt(33))\/(-1*sqrt(12)\/sqrt(4)) + 3).\nAnswer: 2 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 27a2cc5?\nAnswer: 27a2cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -4 - (-2 + (-1)\/(-1)). Let d(g) be the first derivative of 2 + j*g + 1\/2*g**2. What is d(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 4*j + 1\/60*j**5 + 1\/8*j**4 - 13*j**2 + 0*j**3 + 0. Determine t so that w(t) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/121 - -15*703\/(-627)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 3*z - 2. Let j = -3 + -1. What is the tens digit of b(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 44184 = -2*q. Let m be q\/(-12)*-1 + (-2)\/4. What is the highest common factor of m and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/38883 and -35\/174?\nAnswer: 2255214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 40*l + 19. List the prime factors of f(10).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) + sqrt(16)\/(sqrt(12)\/sqrt(3))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 2, a: 3, w: 3, f: 3, i: 5}. Give prob of picking 1 f and 2 a.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -148.0607.\nAnswer: 4.441821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 - 4\/(-8))*2 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -21. Suppose 0 = q + k - 13. What is the nearest to 0.1 in 0, q, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 10*l - 3*l - 12*l + 6*l. Let o(s) = 469*s**2. Determine o(k(z)).\nAnswer: 1876*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(17)*2)*1*4 + -2)**2 + (-2*2*sqrt(102))\/((sqrt(66) + sqrt(66)*2 + sqrt(66))\/sqrt(11) - sqrt(6)).\nAnswer: -148*sqrt(17)\/3 + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h. Let j(u) = -44*u**2 - 34*u**2 - 37*u**2 + 133*u**2. Determine m(j(p)).\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**2 + 42*r**2 + 21*r**2 + 62*r**3 - 113*r**2 + 22*r**2.\nAnswer: 62*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 2*y**2 + 2. Let n(k) = -11*k**3 - 11*k**2 + 5*k + 7. Let f(s) = n(s) - 5*t(s). Find a, given that f(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 11 + -42 + (-2 - (-1 + 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let q(k) = 8*k. Determine -18*f(r) - 4*q(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14754 to three decimal places.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77217*j**2\/4 - 1042429*j\/2 - 27\/4.\nAnswer: (j - 27)*(77217*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.2 - 8.2. What is the second biggest value in 0.3, v, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c + 5*c + 2*c**2 + 12*c.\nAnswer: 2*c**2 + 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14419 + 4b9?\nAnswer: -13c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 20 = 11*q. Let l(g) = -5*g - 5. Let n be l(q). What is the common denominator of (-29)\/(-18) - (n - 20) and 121\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u + 10*u + 2 + 1)*(-12*u**2 - u**2 + 32*u**2)*(-4*u**2 - 14*u + 14*u).\nAnswer: 152*u**5 - 228*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1738 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16753?\nAnswer: -16753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -65613 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 90*n - 87*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/1 - 2)*1. What is the units digit of (-3 - n) + (-3 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36\/(-45))\/((-2)\/5465).\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 53 (b) -18\/11 (c) -3\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c*c**(6\/13))*c*c*c\/c**(-1\/19)*c assuming c is positive.\nAnswer: c**(640\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35807171*b**3*f*z + 28041*b**2*f*z - 37*b**2*f wrt b?\nAnswer: -214843026*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = 11 + 33 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5 - 117*g**4 - 198*g**3 + 888*g**2 = 0.\nAnswer: -37, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -95.64. Let s = w + -5. Round s to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/(((sqrt(55) - sqrt(110)\/sqrt(2)) + sqrt(55))\/sqrt(11)))\/(sqrt(15)\/(sqrt(20)\/sqrt(4)) + (sqrt(192)*2 - sqrt(3))).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28391663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:02 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - -2) - ((-4 - -3) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1034 (base 15) to base 16\nAnswer: d60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -72?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/120 + a**4\/8 + 7*a**3\/6 + 23*a**2. Let u be h(0). Let t = 7 - 6. What is the highest common divisor of u and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 2*l + 36, 14 = -z - 4*l + 19 + 17 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -m + 6*m + 35, 25 = 5*y - 3*m. Suppose 0 = y*i - 6 - 8. Suppose -i - 1 = -n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7078+-0.13501\nAnswer: -7078.13501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9813 + 235427\/24. What is the common denominator of 46\/2427 and z?\nAnswer: 19416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 805 + 2*g**2 - 399 - 392 to d + t*g**2 + v*g and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - 6.31. Let r = 6.5 + v. Put 0.13, 2\/15, r in descending order.\nAnswer: 2\/15, 0.13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/10 + 7*m**4\/12 - 35*m**3\/2 - 308*m**2. Does 23 divide k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 5055*l - 30222.\nAnswer: -3*(l + 6)*(l + 1679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.486, 2\/469, 0.3, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1710360 by -10.\nAnswer: 171036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5458290 rounded to the nearest 10000?\nAnswer: -5460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftn when three letters picked without replacement from ytfgntf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10) - 2\/10. Let s(k) = 9*k + 2 - 10*k + b. Let u be s(-6). Solve -2*n - 3 = 4*f + 1, -5*f = 4*n + u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6 - 38*j + 0 - 6. Is u(-1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/12 - 2*a**3 - 5*a**2 + 2264*a. Let d be -5*1*2 - -2. What is u(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 28*o - 160. What is the remainder when 314 is divided by w(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.19 + -0.19. Let p = 2 + -2. What is the nearest to y in p, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from {u: 3, e: 3, n: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*4\/1. Suppose -196 = -2*h + 3*f, 3*h - t*h = -2*f + 98. Suppose 0 = 3*z - 5*r - h, 4*r - 35 = -2*z + 45. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-5)*(21\/(-21))\/(3\/(-5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9414544103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 1575*b**4 + 2980*b**3 - 560*b**2 - 400*b + 80 = 0. What is b?\nAnswer: -2, -2\/5, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/120 + u**5\/30 - u**4\/12 + u**3\/3 + 3*u**2. Suppose m - 1127 = -1125. Let l be (-21 + 22)\/(-1 - -2) + m. What is z(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1134*z - 988 = 887*z. What is the fifth smallest value in -0.3, -2, 0.02, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzo when three letters picked without replacement from {k: 2, o: 1, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 6. Let f = 0.0294 + 5.5506. Let u = 0.58 - f. Sort u, 11, y in decreasing order.\nAnswer: 11, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 greater than 52\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/498305?\nAnswer: 13\/498305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 88395.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2031330231 (base 4) to base 9\nAnswer: 1075503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 6 - 5 - 3*y**2 + 4 + 5*y + 0*y. Differentiate c(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/27 + 4\/18. Suppose -39 = -j - l*g - g, g = 5*j - 171. Let q = 1 - -6. Calculate the highest common factor of q and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 + 77*t**2 - 35*t**2 - 29*t**2 - 24*t**2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 24. Let b = p + 9. Suppose 0 = d + 2*m - 12, -5*m + b*m + 23 = 4*d. Sort -5, d, 5 in descending order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 159*d**2 - 3187*d + 917. Calculate s(-177).\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 b when four letters picked without replacement from bnfreeerbbeeeenbr.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**4 - 2*f**4 - 2*f**4 + (6 - 6 - 6*f)*(-2*f**3 + 29*f**3 + 11*f**3) to the form o*f**2 + p*f**3 + y + h*f + w*f**4 and give w.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8835698 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -23.763?\nAnswer: 11.8815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6992, -17 in ascending order.\nAnswer: -17, 3, 6992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*a + 44 = 1 - 209. Calculate the lowest common multiple of a and 3509.\nAnswer: 10527","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2677571 (base 8) to base 10.\nAnswer: 753529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.3 + -7. Let d = r + 1. Let o(x) = 2*x**2 - 7*x - 4. Let f be o(4). Put 0.5, f, d in increasing order.\nAnswer: f, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9 + 2 + (-1025)\/420. Suppose 4 = -4*t + 20. Suppose -3*v = v - t. Is v bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**2*r**2 - 131*f**2 + 13*f - 122*r**2 wrt f.\nAnswer: -14*r**2 - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1418633, 1418617, 1418601, 1418585, 1418569?\nAnswer: 1418553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0445 to 3 dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21.617688805576 from 0.5.\nAnswer: -21.117688805576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -654.372 + 0.072. Round i to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 7 + 7)*(37*d + 29*d + 55*d)*(38*d - 22*d + 1 - 20*d) + 5*d**3 + d**3 - 4*d**3.\nAnswer: -2418*d**3 + 605*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 - 606*m - 604 = 0 for m.\nAnswer: -302, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 2*j**2 + 3*j**2 + 0*j**2 to the form d*j**2 + t*j + w and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, 3\/52, 4\/3, -283?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5*l**2 - 8*l - 6. Suppose w = -5*j + 76, -4*j = -2*w - 14 - 58. Calculate the least common multiple of p(-6) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -7955.3 (c) 4 (d) 3.7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -7, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 1. Let z(u) = -3*u + 5. Let d(s) = -4*l(s) - z(s). Let a = -3 - -5. Suppose g = -a + 1. Calculate d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 14*q - 17. Let d be z(-11). Suppose 25 = 11*m - d*m. Let p = m - -95. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - d + 2*d)*(1 - 1 + 2) - 12*d + 1 + 6*d + 5*d.\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 777, 1770, 3171, 4986, 7221?\nAnswer: 9882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 125.11501?\nAnswer: 125.41501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -23*l + 135. Let a be u(5). Solve -5*v + a = 6*i - 2*i, 2*v - 4*i - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 + 8*b**2 - 54*b + 254. What is g(5)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - 21*j + 4*j - 3*j + 6*j - 2*j + (-4 + 1 + 4)*(3*j - 4*j - j))*(-2*j + 2 - 2 + (1 - 1 + j)*(2 - 2 - 2)).\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpddpddpd. What is prob of sequence pq?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f = -15. Suppose -3*b = f*v - 36, v = -5*b - 2*v + 50. Suppose -3*m - r + 5 = -5*r, 0 = -3*m + 5*r + b. Sort -4, 5, 89, m in descending order.\nAnswer: 89, 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 9*g + 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3766312 divided by 8\nAnswer: 470789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 64 - (65\/(-2) - (-1989)\/306)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/248 and (-785)\/220 + 1*8\/32.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*d + 7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666 (base 10) to base 11.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 802207397 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*a + 1 + (-3*a + 0*a + a)*(-3 + 0 + 2) + 0*a + 0*a - 2*a)*(-a - a + 0*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 2751.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 2*p - 3. Let c be q(3). Suppose 261 = 4*y + 57. Calculate the remainder when y is divided by (-3 + 24\/c)*-78.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478880 is divided by 8260?\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*-1)\/sqrt(7))\/((sqrt(11) + (sqrt(396) - sqrt(11)))*2 + sqrt(11)).\nAnswer: -sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 56*o**3 + 263*o**2 + 412*o + 204.\nAnswer: (o + 1)*(o + 2)**2*(o + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35.9 and -165?\nAnswer: 5923.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66)\/(-15) + (-4)\/10. Suppose 0 = -8*v + 3*v + 15. Is v < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/135 + -484\/135. Let s = -2\/557 - 7221\/5570. Calculate the common denominator of s and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984503 is divided by 167?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 0*k**5 - k**5 + (-k**3 - 2*k**2 + 2*k**2)*(-k**2 + 3*k**2 + 0*k**2) + 8*k**4 - 4*k**5 - 8*k**4.\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 717491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 120. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11430144 by 64944.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24680 and 28999?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -10*a**3 + a**2 - 5*a + 1. Let v(w) = -w**3 + 4*w. Let j(c) = 3*o(c) + 3*v(c). Let b(i) = 66*i**3 - 5*i**2 + 5*i - 5. Determine -3*b(d) - 5*j(d).\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*t + t = -8*z + z - 4*t + 5, 4*z - 15*t + 64 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.5894*-8.\nAnswer: 860.7152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((5 + -11)\/24)\/(15\/(-48)). Let l(f) be the second derivative of 2*f + j*f**5 + f**4 + 0 - f**3 - f**2. Factor l(v).\nAnswer: 2*(v + 1)*(2*v - 1)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/19 - 323832*h**2\/19 - 1295370*h\/19 + 1619200\/19 = 0 for h.\nAnswer: -5, 1, 161920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*s - 36*s - 34*s)*(-3*s - s + 2*s)*(-3*s + s + 3*s) in the form h*s**2 + o + i*s + d*s**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107 is divided by 267.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66495, 66677, 66961, 67341, 67811?\nAnswer: 68365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 1\/2*o**3 + 0 + 43*o - 3\/2*o**2. Let x(y) = -2*y**2. Determine m(x(u)).\nAnswer: -6*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 0.76. Let p = -0.5 - q. Let o = 0.26 - p. What is o rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12*k + 0 + 10*k + 39*k.\nAnswer: 61*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 13) to base 14.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 536 and 2.\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + d = -9 + 40, -t - 8 = -5*d. Let s = -8 + 1. Let g = 5 - s. What is the remainder when g is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = 19. Suppose s = -2*d + 19. Solve -d*t - 15 = 5*w, 1 = t - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l + 63. Let m be n(2). Suppose 4*k = -98 - 2. Let c = m + k. Which is smaller: 11 or c?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 63, -15.\nAnswer: -15, 8, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8 and -6558.\nAnswer: -6559.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 1192*q - 4832.\nAnswer: 4*(q - 4)*(q + 302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from fooafafaoaooo.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 9:17 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34333 + 34336. What is the third smallest value in 589, -5, j?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)\/i)\/(i*i*i\/(i**(13\/2)*i))*((i**(4\/13)\/i)\/i)**(-1\/12) assuming i is positive.\nAnswer: i**(-326\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -22 (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/((2*sqrt(108))\/sqrt(12)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 221*57\/494 - 23\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 892*j - 491496. Calculate a(551).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -135910 divided by -13591\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2 - -9)*2. Suppose 3*q + q - 3*b = 16, -4*q + h = -5*b. Suppose -a = -q*a. Solve 18 = -2*o + 3*v - 1, a = -5*o + 4*v - 37 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309398 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (5 + sqrt(15)\/sqrt(3))**2 - ((sqrt(1260) + sqrt(35) - sqrt(35))\/sqrt(7) - (sqrt(15)\/sqrt(108))**2).\nAnswer: 4*sqrt(5) + 1229\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -313, -834, -1841, -3496, -5961?\nAnswer: -9398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -315\/34 - -30\/17. Which is smaller: l or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2583)*7*(-3)\/24*-24.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 0.1. Let x = -130\/9 + 233\/18. Let n be (-10 + -1)*(-10)\/22. What is the nearest to 1 in n, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i. Let m = i - -11. Calculate the remainder when m is divided by (12\/(-5))\/((-2)\/10*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 4 + (0 - 2 + 4)*(-2 + 3 + 2) + 0 + 3 - 5)*(-1 + 6 - 6)*(-3*v + 4*v - 3*v) in the form c + s*v and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311 + 335. Let s be j + -28 + (-18)\/(-4). Are s and 102 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6 = -206*w + 208*w, 0 = -4*v - 2*w - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 18954.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -81*f**5\/2 + 490*f**4\/3 - 1247*f**3\/6 + 263*f**2\/3 - 8*f\/3 = 0?\nAnswer: 0, 8\/243, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 2321\nAnswer: -73\/2321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000833 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 3. Let r be x(6). Let g be ((-2)\/(-12))\/(12\/72). Sort r, -5, g in decreasing order.\nAnswer: g, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 63?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6112820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 4*l. Let f(w) = 4*w**2 + 5*w. Let r = 80 - 84. Let x(b) = r*f(b) - 5*p(b). Let z(q) = -30*q. Give z(x(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*u - 5, 5*d - u + 0*u = 28. Suppose 0 = h - d*h + 72. What is the lowest common multiple of 2 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:38 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**2 - 4*b + 9. Let z(g) be the third derivative of 13*g**5\/60 - g**4\/4 + 13*g**3\/6 + 2*g**2. Determine 7*v(h) - 5*z(h).\nAnswer: -2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60120653?\nAnswer: 17, 359, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 5 - 3)*(-1 + 5 - 2) + 4 - 3 - 3 + 6 + 16 - 4 - 1 + 3 - 1)*(10*x**3 + 0*x**3 + 6*x**3) to b + t*x**2 + y*x + q*x**3 and give q.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 17*i**2 - 35*i + 55. Let r be p(-19). What is the hundreds digit of (2 - r\/2)*(-26129)\/(-159)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0) + -6 - 3. Let h be (-38)\/(-6) + u\/18. What is the third derivative of s**h + s**2 + 3*s**6 + s**2 wrt s?\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 770656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.285 - -0.115. Let q = m - 19. Let r = -1.98 - -0.98. Which is the nearest to r? (a) -0.5 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/70)\/(8\/9424). Let i = r + -343\/5. Suppose -5*p - 7 = -2. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166 - 53. Suppose 31*m - 106 = 49. Suppose 0 = -m*p + b + 227. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3296, -6320, -9342, -12362?\n\"Answer: t**2 - 3027*t - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.6. Let s = -0.463 - 0.087. Let x = s + 0.15. What is the second biggest value in 0.2, f, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.6298 and 0.8?\nAnswer: 3.4298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**(4\/33))**8 assuming r is positive.\nAnswer: r**(-32\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 2 + (6 - 2). Suppose l*r = r. Suppose 5*g = -r*g + 170. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 - v**2 + 6*v - 1. Let a be 60\/42 + (-8)\/(-14). Let h(c) = -618*c**3 + 629*c**3 + 2 + 2*c**a - c - 12*c. What is 6*h(i) + 13*u(i)?\nAnswer: i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4209*i = 2440*i - 2041*i - 3190*i + 728000 for i.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587831.4m in micrometers?\nAnswer: 587831400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -383\/33? (a) 0.2 (b) 2\/577 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(65\/(-10))*(-1)\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4349*j**3 - 3640?\nAnswer: -13047*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*j + 353.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9082 - -0.0918. What is the nearest to g in -4\/3, 0, 2\/5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1488*i - 5442*i + 1340*i + 1378*i + 1444*i.\nAnswer: 208*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39866 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 7*m = -5. Find the second derivative of 226*v**4 - m + v - 10 + 54*v**5 - 226*v**4 wrt v.\nAnswer: 1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*a + 26 = 118 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/7)\/q)\/q)**(-21)\/(q*q\/q**(1\/6))**(2\/89) assuming q is positive.\nAnswer: q**(7999\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3 - 1. Suppose 2*h = 3*n + n + 4, -5*h = -4*n + 8. Sort x, 4, n in descending order.\nAnswer: 4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + 0 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(112) - -6*-3*sqrt(7))*2)**2.\nAnswer: 224*sqrt(7) + 5504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.4 * -1.\nAnswer: -21.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-28)\/(-4) + (0 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*c = 15, 6*h - 4*h - 2*c = -16. What is the tens digit of (-5308)\/h - 2*(-12)\/108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**2 - 414*v + 77. Let m be l(59). Let y(x) = 6*x - 112. Calculate y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.013 or 10?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -241395.907 + 241183. Let h = u + 213. Round h to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*z - 91, 2*z = z - 2*p + 9. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than 81\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6172, 6169, 6166, 6163?\nAnswer: 6160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 5*c = 4*f + 30, -4*f + 35 = -5*c. Put -6, -1, f in decreasing order.\nAnswer: f, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2494)\/(-39) + (-6)\/(-117). Suppose 3*h - 189 = -3*c, 0 = 3*h + 2*c - 0*c - 190. Calculate the highest common factor of o and h.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2)\/sqrt(7)*3 + 5.\nAnswer: -6*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(80\/930*-3))\/(6\/24)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4394 divided by 3?\nAnswer: 4394\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a - 3*a - a)*(-4*a**3 + 0*a**3 + 5*a**3) + 2822*a**4 + 3298*a**4 - 2646*a**4)*(-2 + 2 - 2*a).\nAnswer: -6946*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15926 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 489345099*p + 447463695 wrt p.\nAnswer: 489345099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 9:07 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.36. Let x = -6.44 - j. What is x rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2)*a)**(3\/29)*(a*a\/a**(-6))\/(a\/(a**(1\/3)*a)))\/((a\/((a**(2\/9)\/a)\/a))**41)**(-23) assuming a is positive.\nAnswer: a**(23650\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 3 = 17*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 7*r**4\/4 - 4*r**3\/3 - 5*r**2\/2 - 2*r - 36. Give d(-2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 9*c + 23. Let t be i(8). Solve -29*k**3 + 15*k**3 + k**2 + t*k**3 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.14 and -1.63219?\nAnswer: 1.49219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11\/4)*x**(-26) assuming x is positive.\nAnswer: x**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3)*53)\/((-4)\/12). Let n be (-68)\/(-8)*(12 + -2). Let j = n - u. Calculate the highest common divisor of j and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1471788815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.142 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53688863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236*j**5 - 3*j**2 - 237*j**5 - 32*j**4 + 0*j**3 + 3*j + 0*j**3 wrt j.\nAnswer: -60*j**2 - 768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(242) + -2 + sqrt(242) + 2*sqrt(242))**2 + -4*(sqrt(242) + 0)**2.\nAnswer: -176*sqrt(2) + 2911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from rmurm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqbqqbqqqbbb.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -59. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56606161961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 28*n = -2160. What is the remainder when n is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 398288697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8519.041mg?\nAnswer: 0.000008519041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -2\/19, -1\/201, 1\/6, -4 in decreasing order.\nAnswer: 8\/5, 1\/6, -1\/201, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v**2 + 128 + 7*v**3 - 58*v**2 + 10*v**2 + 19*v**2 - v**3.\nAnswer: 6*v**3 + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248544835, -248544834, -248544833, -248544832, -248544831, -248544830?\nAnswer: -248544829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83361000 rounded to the nearest 100000?\nAnswer: 83400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvss when four letters picked without replacement from {v: 4, s: 15}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 696550079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12*n + 11*n = -3, h = 4*n + 3. Let x(g) = -g**3 - g + 1. Let p(k) = -2*k**3 - 16*k + 5. What is h*p(i) + 5*x(i)?\nAnswer: -3*i**3 + 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.1 - 0.9. Let g = y - -22.26. Round g to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 + 107050*s + 214080 = 0 for s.\nAnswer: -21408, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = 4*f, 5*x - 2*f = 3*f + 20. Suppose 4 = 2*h + 4*g, 0*h - x = -h + g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1. Let l(j) = j**2 + 8*j + 7. Let s be l(-7). Suppose -4*m = -s + 8. Let r = m - -5. Give q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4008 - 4004. Solve 14*b - 15*b = 5*a + 20, 0 = y*a - b + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 6*k - 3*m + 15, -4*k = -m + 5. Let a(b) be the second derivative of -1\/60*b**6 + 0*b**3 + k*b**2 - 3*b + 0*b**5 + 0*b**4 + 0. Factor a(r).\nAnswer: -r**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*y - 5*x, 3*x + 32 - 87 = -y. Calculate the remainder when 215 is divided by y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 6*o + 0*o - 6 + 6*o - 26.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 0*y - 4\/45*y**5 - 1\/27*y**6 + 1\/9*y**2 + 0*y**4 + 4\/27*y**3 + 1. What is q in s(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2*r + 0*r + 3*r) + 5*r - 5 + 1 + 2 + (r + 12*r - 4*r)*(1 + 0 + 5).\nAnswer: 60*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11724.\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187449 is divided by 5066.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 277953 - ((-100)\/55 + 2 - 57\/11). Let c(a) = 65041*a**2 - 2*a - 1. Let b be c(-1). Suppose -g - f - b = 0. Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1759467 by 56757.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1523 + 1576. Solve 15*d = -128 + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25544670 is divided by 9859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 172 - 166 - (-1 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 83 + 599 = -2*k, -2*k - 850 = -5*h. Suppose -6*l + 3*l + h = 0. Let v be 1\/(-4) - (-1134)\/l. Solve -v = d + 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 143, 212, 295, 398, 527, 688, 887?\n\"Answer: b**3 + b**2 + 59*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19*v**2 + 4463*v + 27578. Determine g(-6).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -89215528 divided by 4?\nAnswer: -22303882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 299. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8, 3 in descending order.\nAnswer: 8, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 3*h - 3. Let i be a(-3). Let l = 5 + i. Suppose q + 4*k = -2*q + 22, 0 = -3*q + l*k - 2. Calculate the highest common divisor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -1\/2*z**3 - 4*z + 1\/2*z**2 - 5. What is x(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606 and 4.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 16\/(-72) - (-110)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670304285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from biujiwum?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 2, p: 1, z: 1, i: 1}. Give prob of sequence np.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 7\/3*g**6 - 36 + 21*g**2 + 0*g**5 + 0*g**4 + 2\/3*g**3 - 2*g. What is the second derivative of v(m) wrt m?\nAnswer: 280*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 5*a = 12*q - 20, -20 = 5*q - 5*a. Let x(v) = -v**2 + 44*v + 242. Let y be x(q). What is the closest to 1\/14 in 5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + x = 53, 6*x - 109 = -4*n + 5*x. Is (-198)\/(-8) + 7\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4*a - 9 - 4105*a**2.\nAnswer: -4105*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, -5, 1\/8, 0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 18*h**3 + 4*h**2 + 4*h - 1. Let q(z) = -19*z**3 - 5*z**2 - 5*z + 1. Give -3*g(f) - 2*q(f).\nAnswer: -16*f**3 - 2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 4, o: 4, j: 3, q: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26881.6 - 26882. Put i, -0.09, 0, 0.7 in descending order.\nAnswer: 0.7, 0, -0.09, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3051693 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, e: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = l + 16. Let h be 221\/7 + (-9)\/l. Suppose 5 - 24 = -2*a + q, 0 = 4*a - 4*q - h. Calculate the remainder when a is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1339460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-4))\/(18\/(-27)))\/((-66)\/(-132))*-24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -95*o**2 + 15*o - 27. Let t be w(2). Let z be 0 + 0 - 435\/t. Are z and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -46, -71, -96, -121?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/4, -4\/5, -0.5, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 844770 + 4?\nAnswer: 844774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21457 is divided by 10691.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 5, i: 5, t: 2, f: 1, a: 2}. Give prob of picking 2 i.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3290)\/(-611))\/((-440)\/(-22)).\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -38, 3\/13, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*b**2 + 38*b**2 + 36*b**2 + b**3 + 13*b to the form w*b**2 + g + x*b + q*b**3 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-38))\/(((-85)\/70 + 1)*(-10)\/6).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 2*v. Determine h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -10 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358 - 102. Let m = k + -221. What is the least common multiple of m and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 - -1523\/9. Sort m, -5, -2\/9, -0.4.\nAnswer: -5, -0.4, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22.6 or 3\/419?\nAnswer: 22.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*l = 138, p + p = 4*l + 72. Does 4 divide (6\/(-9))\/((-2)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304798.\nAnswer: 2, 13, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*j + 2, f - 4*f + 6 = 0. Factor 18*h + 0*h**4 + 25*h**3 + 5*h**4 + 2*h + 40*h**j.\nAnswer: 5*h*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208312407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203189940 equal to 203189941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000093160654 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -7*g**2\/3 + g\/3 + 8\/3 = 0.\nAnswer: -1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-6)\/12*-1). Which is bigger: g or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -48*t**4 + 8*t**3 + 8*t**2 - 40*t - 8. Let i(s) = s**4 - s**3 - s**2 + s + 1. Let k(c) = -f(c) - 8*i(c). Find the second derivative of k(y) wrt y.\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2, 0 = -3*i + 4*i - 4*v + 8. Solve w + 4*u = i, -4*u + 9*u = -w + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z*((z*(z*z*z\/((z**(-1)*z)\/z))\/z*z)\/z)\/z)\/z))\/z**(-1\/4))**(-23))**24 assuming z is positive.\nAnswer: z**966","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**4)\/v)\/(v\/(v*v**0))*v**(-1\/8)*v*v**(1\/3)*v assuming v is positive.\nAnswer: v**(149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, -0.11918, -21071?\nAnswer: -0.11918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 5*c**4\/24 - 19*c**3\/6 + c**2 + 26. Give h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x + 1. Suppose -4*b - g = 0, -2*b + b = x*g + 15. Let h be 3*b\/3 - 0. Which is greater: h or 2\/17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 642 - -1012?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/280 - d**5\/70 + 3*d**4\/56 + 14*d**2. Find t such that s(t) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + (6 + 1 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 - (11 - (-31 + 16 - 3))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.8, 15, 6\/355, -6, 1 in descending order.\nAnswer: 15, 5, 1, 6\/355, -0.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/280 - 7*h**6\/160 + 3*h**5\/16 - 13*h**4\/32 + h**3\/2 - 215*h**2 - 2. Suppose k(w) = 0. Calculate w.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u**2 + 7*u + 7. Let m(y) = -2*y**2 + 4*y - 4. Let w be m(3). Is s(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-620)\/(-45) - (3 - (-424)\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195000?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-6)\/((-60)\/70).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -67*c - 1. Let t be m(1). Let w = t - -128. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**2. Let d(q) = -8*q**2 - 12*q + 18. Let a(o) = -o**2 - 8*o + 2. Let i(j) = 9*a(j) - d(j). Determine i(s(h)).\nAnswer: -81*h**4 + 540*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 1, k: 3, a: 3}. Give prob of sequence hkra.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 - t + 2. Let i be o(5). Calculate the least common multiple of (-3 - i - -2)\/1 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2436 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1621\/5863 + -2\/533. Calculate the common denominator of -29 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12749812 and 1432.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279915 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29322.822 rounded to the nearest 10?\nAnswer: -29320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16525 - -16529. Is -908 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1025888 and 113\/12.\nAnswer: 3077664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 + -2.2. Let f = -0.7 + o. Let v = 1 - 1.1. Which is the nearest to 1? (a) v (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 - 4084*o**3 + 8180*o**2 - 4092*o.\nAnswer: -4*o*(o - 1)**2*(o + 1023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 119936491 bigger than 119936495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13223032 - -313010?\nAnswer: 20202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 32*i**2 - 167*i + 99. Calculate o(-8).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 57. Let q(a) = a**2 - 32*a + 204. What is the remainder when j is divided by q(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -185464?\nAnswer: -741856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, 2, 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.52 + 0.62. What is the closest to 0.1 in -5, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 38 in increasing order.\nAnswer: 2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2151*y + 27 = -2145*y - 5*x, -21*y - 4*x + 159 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 8.5. Let m = 9.00006 - l. What is m rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 10. Let g be a(10). Suppose g = 4*n - 12*n - 24. Put 3, -4, n in decreasing order.\nAnswer: 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + p + 135 = 3*s, -4*p = -3*s + 622275 - 622167 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 341767*a\/3 + 683546.\nAnswer: -(a - 341773)*(a + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201598 is divided by 360.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2)*(-26)\/6. Let i = r + 32. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -5, 22704, -0.4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*p = 5*t - 4, -4*t + 8 = 4*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z + 2*i - 118, -4*i = -2*z + 148. Calculate the greatest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, 7, -0.0394, -4, 3?\nAnswer: -0.0394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1044\/7 or -150?\nAnswer: -1044\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 17*v**2 - 30*v - 501. Let q be r(-17). Let g(z) = z**3 - 11*z**2 + 21*z - 5. Calculate g(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:18 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008929 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -9619 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728000?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -823753 + 5?\nAnswer: -823747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.1, 4, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1092297 (base 10) to base 12\nAnswer: -448149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1991, 7867, 17725, 31619, 49603, 71731?\nAnswer: 98057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122.1387 + -126.42. Round b to 2 dps.\nAnswer: -4.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q*s**4 - 5*q*s**2*x - 28*s**4*x - s**3*x + 5*s**2*x wrt s?\nAnswer: 48*q*s - 672*s*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6*u**2 + 3*u - 4. Let c(w) = w**2 + 18*w + 26. Let o be c(-16). Calculate the remainder when 3\/(o\/(-44)) - (-3)\/3 is divided by n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/17 - 28*x**2\/17 + 66*x\/17.\nAnswer: 2*x*(x - 11)*(x - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -88*c + 198 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**3\/6 - u**2 + 114*u. What is q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 3*m - 1. Suppose -d + 5*a = -8, -8 = -2*d + 5*a - 2. Let j be w(d). Suppose -4*g + j*g = 6. Calculate the highest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (636\/(-24))\/53*(0 - 2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 2. Let k = 28 - 15. Let g = k + -16. What is x(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -145 + 3\/2*s**2 + 1\/4*s**4 - 7\/3*s**3 - 6*s. Determine m(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and -4 - (-114 + 2) - -8?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(18)\/(sqrt(27)\/sqrt(3) + sqrt(9))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + -3 + 10 - 9. Let q = 3 + 0. Sort q, z, 5 in decreasing order.\nAnswer: 5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228)*2 - sqrt(228) - sqrt(228)) + sqrt(228) + sqrt(228))*-5 - 4*(sqrt(228)*-1 - sqrt(228)))\/(4*sqrt(12)*-2*2).\nAnswer: 7*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1. Let h(u) = -u. Let f(l) = h(l) - p(l). Let m be f(-4). Suppose 0 = n + 3*a, 2*n - n + 2*a - m = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -118. Let w = -42 + 118. Let g = w + t. Is g < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - k - 3 - k**3 - 3*k + 0*k + 2*k. Let w be l(3). Suppose w = g - 59 + 32. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -1\/18*o**4 + 0 - 1\/3*o**2 - 31*o + 2\/9*o**3. Factor x(l).\nAnswer: -2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -18 + 18 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78, -89, -108, -135?\n\"Answer: -4*y**2 + y - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = s - 0*s. Suppose -12 = -3*y - 2*k + s, -2*k + 26 = 5*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2)*(2 + -11). Let n = d - 4. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnndccnckdcddd. What is prob of sequence nc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(272) + sqrt(1700) + 1.\nAnswer: -2 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397*q**2 - 1063*q**2 + 2125*q**2.\nAnswer: -335*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/10 - (-4)\/(-10). Let j = 86\/407 + 39318\/14245. Let c = j - 25\/7. What is the closest to x in 2\/9, c, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose -q*p + 6*p - 80 = 0. Let b be p\/6 - (-2)\/(-6). Is 3 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1993276462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -32, -57, -92, -137, -192, -257?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3 - 4 - 36256*t + 44484*t)*(-6*t**2 - 6*t**2 + 5*t**2).\nAnswer: -57596*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + 2061677?\nAnswer: 2061652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*x + 590, 2*x + 3*j - 81 - 165 = 0. Let g = 0 - -6. Does 18 divide ((-14)\/(-5))\/(g\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 6, s: 8}. Give prob of sequence srs.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2. Let h(a) = 11*a**2. Give i(h(l)).\nAnswer: 605*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 31. Suppose g + 15 = -j*g, 5*g + 21 = -s. Solve 5*l = 1 + s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-464)\/232)\/((-1)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -0.04.\nAnswer: -8.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 43. Suppose -4*g - 6 = 3*a, -y - 2 = 5*g - 4*a. Put -5, g, -2 in increasing order.\nAnswer: -5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152.67 + -152. What is y rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwu. Give prob of picking 1 u and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1539) - (sqrt(1539) + 3*sqrt(1539) + 1) - (3 + 3 + 0 + sqrt(19)))*-5.\nAnswer: -140*sqrt(19) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose -f*i + 136 = 2*i. Solve 2*a - 3*y + 1 = -6*y, -5*a = -3*y + i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2330 and 40863074?\nAnswer: 204315370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -331445052 (base 6) to base 15\nAnswer: -7cbae2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 15*h**2 + 38*h + 550. Determine l(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34088208 and 8421?\nAnswer: 34088208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 5171916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16220 is divided by 916?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -1136\/3*x**2 - 854\/3*x**4 - 224\/3 + 1328\/3*x - 49\/3*x**5 - 2440\/3*x**3 = 0.\nAnswer: -14, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 9*p**2 - 16*p - 51. Determine g(-9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.01851 - -0.01851. What is the closest to -1 in 0.5, -15, r, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 k when four letters picked without replacement from {k: 2, a: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13005 is divided by 4329?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -194 + 198. Solve -r + 6 = k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-92*((-95067)\/(-1134) + -84).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -161*o**2. Let g(a) = 3*a. Let l(v) = -2*v. Let x(s) = -g(s) - 2*l(s). Calculate x(w(y)).\nAnswer: -161*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 13*a**2 - 10*a - 7. Let u(v) = v**3 - 9*v**2 + 7*v + 5. Let r(z) = -5*f(z) - 7*u(z). What is r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/9, 6, -0.4, -990?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-40)*8\/(-3). Let d be (15\/q)\/(-5)*4\/1. Find the second derivative of -8*o**d - 6*o**2 + 1 - 10*o**2 - 27*o + 17*o**2 wrt o.\nAnswer: -48*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33882462727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-63)*((-8)\/(-10) + -2). Which is the third smallest value? (a) -12 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(sqrt(75) + -1 + 5)**2.\nAnswer: 80*sqrt(3) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 87 = 73. Suppose 68 - 9 = x. What is the remainder when x is divided by 2*2\/(-8)*t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + 0.34. What is the closest to w in 5, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1014 and 45\/23881.\nAnswer: 1862718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:19 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680*t = 407*t - 2918*t - 113157 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24593 - 14246. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1259 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.135 + -0.6. Let o = -0.065 - i. Sort -0.05, o, -2, 0.3 in descending order.\nAnswer: o, 0.3, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c66b5 (base 14) to base 16\nAnswer: f8327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -23*m**8\/48 + m**4\/24 + 122*m**3\/3 - 2*m**2 + 295. Find the second derivative of n(u) wrt u.\nAnswer: -3220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s - 101 - 299 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*((4 + 2*sqrt(500) + sqrt(500) + -1 + -1)*4*5)**2.\nAnswer: -7206400 - 192000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 49*w = 2*j - 882, 2*j - 7*w + 117 = -9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - -2) + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17516968.1 * 6\nAnswer: -105101808.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s - 19. Let v(h) = -19*h + 29. Let u(i) = 8*f(i) + 5*v(i). Differentiate u(n) wrt n.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1712 and 31296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3514506392 to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z - 3*z**2 + 16*z**3 - 11*z**3 + 4*z**2 - 12*z**3 as b*z + q*z**2 + l + o*z**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26088364*d**4*m**2 - 18676751*d*m**2 wrt d.\nAnswer: 313060368*d**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36309787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(612) + 1 + sqrt(612))**2 - (-5*(sqrt(612) + -2))**2.\nAnswer: -17849 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -2*sqrt(7)).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -3761334?\nAnswer: -3761340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - -10 - 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 100121300020?\nAnswer: 100121300011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r = -y - 789, -12 = -4*y. Let u = r - -1388\/7. Sort u, 1\/11, 4\/9 in increasing order.\nAnswer: 1\/11, u, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyhryyoyy. Give prob of sequence yer.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u. Let v(q) = -4 - q**2 + 8 - 4. Determine v(m(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 - 503158*w\/3 + 335440.\nAnswer: -(w - 2)*(w + 503160)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Suppose 4*o + 1 = q + 2, 2*q + o + 2 = 0. Let t be q\/4 + 13\/4. Let r(l) = t*l**2 + 38*l - 38*l. What is r(y(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 625*(2 - 2 - -144). Round d to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78.5 smaller than 642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 - 3*y - 4. Let m be (2 - 0)\/(4\/(-6)). Calculate c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54494292 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -410 + -690. Let x = j - -5935. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81515 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -9486\nAnswer: -61\/9486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45199\/2 + 22742. Is 2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/(-16)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -250006 - 1?\nAnswer: -250010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 12. Suppose 0 = 12*j + 68 - 8. Calculate the remainder when 30 is divided by (8\/j)\/(1\/s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -50. Let x be (-12)\/30*(-29270)\/s. Let l = x + -209. Calculate the common denominator of l and -133\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddfi when four letters picked without replacement from unndodiuiddouof?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*u + 48, -z - 36 - 31 = -3*u. Solve 0 = p - 12*p - u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 2 = 3*y, y = 3*u - 3. Suppose -q - 12 = -6*q + 4*r, y = -4*q + r + 14. Put 3, q, -5, -1 in ascending order.\nAnswer: -5, -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3792 - 106151\/28. Calculate the common denominator of (18\/4)\/(12\/11) and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8547 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244 - -367. Suppose -i - 6 = -5*p - 3*h, -3*h - 39 = -2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*70\/(-30)*2\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 0 - 3 + 3. Let j(v) be the first derivative of v**2 + 5. What is b(j(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2044, 2045, 2046?\n\"Answer: i + 2043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3647?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-24))\/((-2)\/(-36)). Let o be 1 + (32\/48 - 8\/m). Which is the closest to 0? (a) 0.1 (b) 3\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -12*(-77 + (13 - 17))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27890 and 44928001?\nAnswer: 449280010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -352 + 134. Let x be ((-2)\/2 - b) + 1. Suppose -4*f + 197 = -y + 26, 3*y = -5*f + x. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487047 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = 9735 - 27781. List the prime factors of g.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3754092172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + 2*sqrt(3) + sqrt(3) - ((sqrt(3) + (sqrt(6) + (sqrt(6) + sqrt(6) + sqrt(54) - sqrt(6)))\/sqrt(2) - sqrt(3)) + 1)**2.\nAnswer: -78 - 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1))\/((-3)\/(-6)). Let j be ((-24)\/(-20))\/(a\/(-5)). Solve 3*m - j + 0 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*i = -50*i + 15981. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -12*(-4)\/(-18). Let m = -2 + 2.5. Which is the second smallest value? (a) f (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4 - 5 = 0, 0 = 4*v - g - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 644 - 644 = -h, -37*h + 64 = -5*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/27 and -37\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2286352*g**4 + g**2 + 8037529*g wrt g.\nAnswer: 27436224*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95, -24, 225, 658, 1281?\n\"Answer: m**3 + 83*m**2 - 185*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3300742, 3300753, 3300764?\nAnswer: 3300775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/7 + 141*a**2\/7 + 21*a - 987.\nAnswer: -3*(a - 47)*(a - 7)*(a + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 1.4. Let s(g) = g + 5. Let i be s(-6). Let r be (2 - (-1 + 0))*i. Is u less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1) + 2 - (-45 - -36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, w: 7}. Give prob of sequence cc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-6)*((-5040)\/(-175))\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 2538939?\nAnswer: -5\/846313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 538 + -543. Let v(g) = g**3 + 6*g**2 + 2*g + 1. Determine v(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766811936.\nAnswer: 2, 3, 18404291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -1, 0 in decreasing order.\nAnswer: 8, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*z - 4, 5*c - 15 = z - 2. Suppose 1 + 11 = z*n. What is the third derivative of -t**n + t**3 + t**2 - t**3 wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 4*d**2 - 3*d + 4. Let l be x(4). Let c = l - -13. Calculate the lowest common multiple of c and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25079, 50249, 75585, 101171, 127091, 153429?\nAnswer: 180269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than or equal to -895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11211885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*k - 18, 2*k + 5*l + 12 = k. Let y be (-4)\/(-6)*-3 - k. Solve y = x - j - 0 + 1, 5*j = 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 w when three letters picked without replacement from {w: 3, s: 1, u: 1, y: 1, z: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 411079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1\/32, -2, 0.5, 1\/4.\nAnswer: -2, 1\/32, 2\/15, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 714246, 2858059, 6431082, 11433315, 17864758?\nAnswer: 25725411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 4. Let h = 13 + -6. Let f be t(h). Suppose -3 = -2*d + f. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662433913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = -16*g - 90. Let b = 20 - g. What is the third derivative of -b*f**2 + 7*f**2 + 3*f**2 + 3*f**6 - f**2 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1554)\/1369)\/((-11)\/407)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 8*h = -10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -53. Let m = f + 32. Suppose -a + 1 = -m. What is the highest common divisor of a and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5885 = -18*z + 6047 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -y + 25. Calculate the smallest common multiple of 27 and y.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(50) + sqrt(50) + 0) - (1*1*sqrt(2) + 0 + sqrt(162))) + 5.\nAnswer: -70*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11567*a**3 + 2*a**2 + 196*a + 1?\nAnswer: -69402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 827135 or 827137?\nAnswer: 827135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 4893666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyqyqqqqqy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -233\/104 - -21\/13. Suppose -3*o - 141*j + 146*j + 42 = 0, 3*o + 21 = -2*j. Which is greater: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*g - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -491\/3. Let f = w + -82. What is the closest to -0.1 in f, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0802*2.16\nAnswer: 0.173232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.01100007*-57\nAnswer: 0.62700399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 89 = 5. Suppose 20*z + 401 - 2901 = 0. What is the remainder when z is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 g when four letters picked without replacement from {p: 3, u: 7, g: 6, r: 1}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108557324587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + j**2 - j + 2*j + 2)*(6*j**2 + 3*j**2 + 7*j**2) in the form u*j**3 + t + l*j + z*j**2 + r*j**4 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -40*w - 3. What is q(4)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 2. Let c(p) = -7*p + 5. Let d(i) = 2*c(i) - 5*r(i). Let t(v) = -17*v**2 + 5. Let l(h) = 25*h**2 - 7. Let g(k) = 5*l(k) + 7*t(k). Give g(d(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 585\/273*70\/45*(36\/(-50))\/2\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 23389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*o + 68*o - 4188 = 0. Solve -10*x - o = 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 18*v**2 + 22*v + 7. Does 23 divide p(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*18\/42*2520\/(-162)?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295 by -73343.\nAnswer: 295\/73343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*p = 6621, 3*p + 0*p = -3*v + 9945. Let x = 2155 - v. Let d = 2002 + x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 1\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let k(y) = 16*y. Let c be ((-2)\/10)\/((-12)\/(-72))*-5. Suppose -c*b = -18 + 12. Give b*k(l) + 8*d(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 12) to base 14\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*k - 11*k + 75*k + 513 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 5*o - 2*o)*(-o**2 - 1 + 1) + 3*o**3 + o - o + (-8*o**2 - 4 + 4)*(-2*o + 4*o - 12*o) as t*o + m*o**2 + c*o**3 + p and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 - 1088*h**2 + 6636*h - 10008 = 0.\nAnswer: -278, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -j + 2, -3*j = -4*x + 12 + 1. Let p be x + (-1 - 1\/3). Let q = 1\/19 + 16\/57. Which is the nearest to q? (a) -1\/2 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b + 70 = 0. Let x be b\/(-50) + (-6)\/(-10). Solve -x*v + 6 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 + 11. Let w be r(0). Let i be (0 + -3 + 3)\/(-3). Differentiate -2*z - w + i*z + 17 with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-1\/2)\/d)**(18\/11)\/(d\/(d*d*d**(2\/25)*d)*d**(-1\/14)))**(-2\/27) assuming d is positive.\nAnswer: d**(-3811\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + f + 4)*(-3 - 5 - 38)*(-f + f - 2*f).\nAnswer: 92*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 78*n - 696. Let c be w(9). Solve 0 = -20*i - c - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 0.4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1539321.84 microseconds to days.\nAnswer: 0.000017816225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from xvvvhfufzzhhf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1294*z. Let k(c) = -9192*c**2 + 18373*c**2 - 9185*c**2. Give k(f(d)).\nAnswer: -6697744*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 10*c**2 + 2*c + 12. Let y be t(-10). What is the tens digit of (6\/y)\/(1\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/30 + 41220008\/(-6). Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 82\/9845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/3 - 9)*-1. Which is the second smallest value? (a) 1 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46918498, -93837000, -140755502, -187674004?\n\"Answer: -46918502*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, -341, -2\/3, 3 in ascending order.\nAnswer: -341, -5, -3, -2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5934, 32, 0.1, -1\/3, -3 in increasing order.\nAnswer: -5934, -3, -1\/3, 0.1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56248, 56097, 55950, 55807?\n\"Answer: 2*x**2 - 157*x + 56403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -766391\/94 + 8153. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oii when three letters picked without replacement from {o: 1, i: 4, t: 2, j: 8}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.77 - -45. Let o = -27.03 + 27.9. Let b = r - o. What is b rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -443, -667, -893, -1121?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-874)\/138)\/((-3)\/(-1)) - 1\/(-9). Let k = 10 - 6. Put p, 5, k, -4 in decreasing order.\nAnswer: 5, k, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 2, 4262 in decreasing order.\nAnswer: 4262, 2, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 610 - -6?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqoqtxqaqio. What is prob of picking 2 q, 1 t, and 1 x?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {u: 9, j: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 498952801.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 6*g + 6. Let p(o) = -1 - 3*o**2 + 2 + 5*o - 6. Suppose 4*r + 46 - 70 = 0. Calculate r*p(f) + 5*z(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eevv when four letters picked without replacement from {v: 7, e: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 + k + 8. Let w be o(0). Let c(h) = h. Let p be c(-4). Let z = w + p. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let o(d) = -1048*d - 2146*d - 815*d. What is o(z(x))?\nAnswer: -4009*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 6*k - 18)*(2*k + 0*k + 2*k).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 0.0416885771.\nAnswer: -0.3583114229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-68)*(-642)\/(-5). Let n = -2\/2311 - -6967\/39287. Let r = n + k. Which is bigger: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 2 + l**3 - 4*l**2 + 2*l**2 + 22*l.\nAnswer: l**3 + 22*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -11*h**4\/4 + 14*h**3\/3 - 20. Find the third derivative of t(p) wrt p.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 4 + sqrt(13) + sqrt(39)\/(sqrt(3)*-1))*-6)**2 - (1*sqrt(13)*3 + (sqrt(13) - (2*sqrt(78))\/sqrt(6))).\nAnswer: 574*sqrt(13) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 2420\/18172*-203?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 5*s - 80 = 0. Suppose s*y = 5*g - 36210, -y - 135 + 29128 = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -467*x**3 + x**2 - 1. Let t = -5 - -4. Is l(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/108793 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -6*3\/(-6). Let s = n + 5. Suppose -2*q - q + 4*w = -32, -4*w + 16 = s. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 2, w: 1, i: 2, a: 2}. Give prob of sequence wi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32040 - 31715. What is the least common multiple of 1495 and c?\nAnswer: 7475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-33)*18\/(-32). Let h = 4006\/13 - 308. Let q = -50 - -50. Which is the nearest to q? (a) h (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184542572?\nAnswer: 2, 46135643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252 bigger than 4405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.23 + 547.\nAnswer: 530.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/9)\/((-8)\/(-24)). Let o = t - -10. Suppose 0 = o*k + 15 - 18. Solve -5*z + k = -f - 2*f, 9 = -5*z - 2*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4 - 107*r + 104*r - 19. Let q be o(-9). Factor -7*b**q + 5*b**5 - 3*b + 0*b + 32*b**3 - 35*b**3 + b + 7*b**2.\nAnswer: b*(b - 1)**2*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*z - 1318 = 892 + 830 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 22*c**2 - 5374321 + c - c**3 + 5374324 to the form z*c**2 + q*c**3 + s + y*c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 327856400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882288, 882325, 882350, 882357, 882340?\nAnswer: 882293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(567) - -1*sqrt(567)))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**2\/2 + 17*p + 7. Let b be k(-8). Let d = 19 - b. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 8, -139.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45636 and 1614.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 12:29 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32548*p - 32548*p + 136*p**4)*(2*p - p + 2*p).\nAnswer: 408*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*v**2 + 37*v**2 + 37*v**2 + 36*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4965*n - 1305*n + 294*n in the form t*n + a and give t.\nAnswer: 3954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 5*j**2 + 25*j - 8. Let f be z(8). Suppose 3*o - 407 - 371 = -4*q, f = -4*o + 8. Let g = 288 - q. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/40*97\/((-20370)\/(-48160))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18967745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24766333 > 24766333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 111*j**2 + 54*j + 108. Let g be c(56). Put g, -1, 1, -14 in increasing order.\nAnswer: -14, g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/5*(-1205)\/(-2) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4874*q + 14541. Calculate h(-3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1785*h + 11028. Does 27 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2025*j = 3*x + 2022*j - 33, 3*j - j + 61 = 5*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1294, 2720, 4146, 5572, 6998, 8424?\n\"Answer: 1426*y - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 306244 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 17 - 13)*(1 + 2 - 2)*(-3*d**3 - 733 + 366 + 365 + 8*d).\nAnswer: -54*d**3 + 144*d - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbnz when four letters picked without replacement from bvkzknvnbzkbbbv?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1137, -2275, -3413, -4551?\n\"Answer: -1138*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1281 = -253*g - 4285 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-50))\/((-164)\/20 - -8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p + 4*l = -50, -5*p = -2*l + 40. Let c = -60 - -31. Let d = p - c. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 8 - 8)*(-1 - 1 + 1) - 2 + 2 + 2*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.37, -0.09, 0.05, -17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 35*n + 4*k - 184, -2*n + 86 = -k. Let f = -44 + n. Let p(s) be the first derivative of -s**4\/4 - s**2\/2 + 2*s - 1. Determine p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205842506 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.62 and -0.8.\nAnswer: 4.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.5524\nAnswer: -6.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:08 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*o**5 - o**3 - 124*o**2.\nAnswer: -720*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2, -2, -1, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**4 + 5*h**4 - h**4 + (3*h**2 + h**2 - 5*h**2)*(5*h**2 - 3*h**2 + 0*h**2) + 2*h**4 - h**4 + 0*h**4 - 6*h**4 + 3*h**4 - 4*h**4.\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -6, -4, -3 in increasing order.\nAnswer: -6, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-25)\/2 + (-1)\/(-2)). Is 47 a factor of (r\/(99\/(-1692)))\/(2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4676 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 19. Suppose c - 4*c = 0. Suppose 16 = -4*y, c = -4*o - y + 6*y + 56. What is the remainder when u is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155678, -311714, -467740, -623750, -779738, -935698?\nAnswer: -1091624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*q**2 + 1907 - 162471*q + 162471*q with respect to q.\nAnswer: 306*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 46032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1595.516, 0, 0.2 in decreasing order.\nAnswer: 1595.516, 4, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.3, -69047, -3, 7.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 8)*(-3 - 1 + 6)*(3*a**4 - 3*a**4 + 7*a**4).\nAnswer: -56*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 328 (b) 4259 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 10. Let g(m) = m**2 - 23*m + 60. Let w be g(20). Sort 1.3, k, w in descending order.\nAnswer: k, 1.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4281 * -2611\nAnswer: 11177691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 20. Suppose 20 = -6*m + r. Solve 4*w + d - 23 = 0, m*w + 8 = 4*w - 4*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 380 + -377. Let z = 0 + 3. Suppose -9 = -4*i + 2*o + 5, z*i = o + 13. Solve 0 = -y + 2*w - i, w = m*y - 3*w + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drxw when four letters picked without replacement from {w: 6, r: 2, e: 1, x: 2, d: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -284 or -280?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 56 (b) -89 (c) -3 (d) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Let m = 25035\/4 + -6259. Which is the closest to 2? (a) f (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*n + 14, -4*g - 38 = n - 6*n. Let a be (n\/4)\/(4\/8). Solve -4*h + a*q - 8 = 0, h - 4*q + 2 = -3*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-1.89.\nAnswer: -0.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b746 + -3?\nAnswer: -4b749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**2 + 2. Let k(f) = f**2. What is a(o) + k(o)?\nAnswer: -11*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(891) - (-2 + 2*sqrt(891) + sqrt(891) + sqrt(891)))**2*-6.\nAnswer: -769848 + 2592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m, 2*d - 8 = -m. Suppose 5*y + 112 = d*b + 23, 4*y = b - 36. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/y**31)\/(y**(-2\/11)\/(y\/((y*y**(-37)*y*y*y*y*y)\/y))) assuming y is positive.\nAnswer: y**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139255, 278508, 417761, 557014, 696267, 835520?\nAnswer: 974773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11221436*p + 11221353*p = -415 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**4 + 2*a**3 + 5874*a**2 + 658367*a wrt a?\nAnswer: -36*a**2 + 12*a + 11748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Let o(b) = -b**2 + 8*b + 4. Let y be o(8). Solve 2*h = 4*h + w - 9, -y*h + p*w = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.6 - 29. Let c = -0.6 + z. Suppose 274*m - 5 + 2 = 277*m. What is the smallest value in m, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 11*d - 1\/3*d**3 + 1\/20*d**5 + 2*d**2 + 0 + 1\/3*d**4. Let v be r(-4). What is the greatest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192024 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4 - 2406*f**3 + 12136*f**2 + 67584*f - 77312 = 0. What is f?\nAnswer: -1208, -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**5 + 25*s**4 + 760*s**3 + 1920*s**2 = 0.\nAnswer: -8, -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(136) + 1*sqrt(136)*-6 - sqrt(136)) + sqrt(136))*4)\/(sqrt(512) + (sqrt(512)*2 + sqrt(512))*-6 - sqrt(512)))**2.\nAnswer: 425\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088768 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(7) + sqrt(343)*-1)**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32286585 divided by -249\nAnswer: -129665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379939414.\nAnswer: 2, 3, 353, 641, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -18*s**5 - 894*s**4 - 10922*s**3 + 4246*s**2 + 6340*s + 1248 = 0.\nAnswer: -26, -24, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q*q**(2\/31))\/((q**(1\/4)*q)\/(q*((q\/(q*q\/(q**(-28)\/q)))\/q)\/q)) assuming q is positive.\nAnswer: q**(-4735\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167257 (base 8) to base 2.\nAnswer: -1110111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 4. Let x(j) be the second derivative of -j**3\/6 + 3*j. Let h be x(-3). Let f be m(h). Solve 0 = w + p - 7, -5*p - 4 = -f*w - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 140, 328, 584, 902, 1276?\n\"Answer: -f**3 + 43*f**2 - 8*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1889 - 2015. Sort -3, v, -4.\nAnswer: v, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 15*m + 5*n = -2845, 4*m = 5*n + 2277. What is the remainder when m is divided by 140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 838?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.66 + -0.34. Let x be 12\/(-15) - (-9)\/15. Let t = 3 + -2. Put t, x, z in descending order.\nAnswer: t, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3762412 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 13) in base 10?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(-4 + (-19 - -17)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 0.2, -4, 0.6, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 + 12 = 0. Let t(s) = 13 - z + s**2 + 2*s + 4 + 4. What is the tens digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-10) - -2)\/((-18)\/12)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290 and 126404678.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/43 or -1?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 55*z**2 + 20*z + 1340. Let t(n) = -18*n**2 - 7*n - 469. Let o(v) = 7*m(v) + 20*t(v). Let a(f) = -f**2 - 4. Calculate a(o(j)).\nAnswer: -625*j**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-25))\/((2\/21)\/(344\/(-27) - -12)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 1515 - 6155 = 69*w - 7*w for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2. Let a(b) = 222*b**2 - 8*b. Let t be a(-1). Let r(z) = -456*z + t*z + 27 + 224*z. Give r(p(q)).\nAnswer: -4*q**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500068317 divided by 7.\nAnswer: 71438331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2034\/495 + 1\/(-5) and (-35)\/(-2) + (-4)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*b**2 + 5*b**2 - b**2.\nAnswer: -121*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = 4*u - 5*u - 10*u - 360 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -10554104 divided by -479732?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -291.218214387 take away -137?\nAnswer: -154.218214387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 10 = -6*c, 0 = 3*q - 3*c - 36. Let i = q - 7. Is (228\/18)\/(2\/i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904473 is divided by 299.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15747 = -36*f + 669. Is 38 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Let l = 31545 - 31540. What is the smallest value in l, w, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 7:47 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 5*s. Let a(j) = -2*j**2. Determine b(a(x)).\nAnswer: 8*x**4 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = -18. Let v = f - 6. Suppose -15 + 41 = 5*k + n, 5*k - 5*n - 20 = v. Solve 0 = 5*b - k*i, 2*i = -b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 11:10 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**3 + 759*v**2 - 92*v + 79. Calculate i(-95).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a = -94*a + 177. Solve a*t + t = 0, 3*t = 3*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.7 (c) -5 (d) -3 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*60\/25. What is the closest to -2\/11 in n, 5, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 16, 9*u = -3*w + 6*u. Solve -x + g + g = -3, 0 = -w*x + 2*g + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 566*x**2 - 672*x + 2705. Let i be s(4). What is the highest common divisor of i and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/2400*20)\/(6\/116*-1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -734 - -730.73. What is r rounded to one decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6 + (-2)\/3 + 32 + (-966)\/18\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108207711.\nAnswer: 3, 59, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229485.96 months to millennia.\nAnswer: 19.12383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 190102.2g?\nAnswer: 190102200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379308489?\nAnswer: 3, 7, 397, 45497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 502*h**4 - 13*h**2 + 11*h**2 - 248*h**4 + 2*h**3 + 2*h - 252*h**4 + 1 to the form n + v*h**2 + k*h**3 + u*h**4 + q*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 5*g**3\/3 + g + 2. Determine q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -122, -3, 1, -0.4, 2, 4\/9, -34\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 754502194 to the power of 1\/2, to the nearest integer?\nAnswer: 27468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -2 - (1 + -1). Suppose r*t = -2*t. What are the prime factors of t\/(-1) + -2 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7827296*w - 7827296*w - w**2 + 882. Let p(l) = 2*l**2. Determine j(p(c)).\nAnswer: -4*c**4 + 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 3983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h + 23. Suppose -m = -4*m + 6. Suppose 0 = m*i - 164 - 122. Calculate the highest common factor of i and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/3 + 24176*a**2\/3 + 56386*a + 96648 = 0.\nAnswer: -12081, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) -420 (d) 10 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18)*(7 + -11 - 923). What is the second derivative of -7*n + 5*n - 51*n - s*n**2 - 53*n - 6*n**2 wrt n?\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -30 (c) -1\/688\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48.18144ng?\nAnswer: 0.00004818144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -778 + -295. Let z = -522 - y. List the prime factors of z.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lth when three letters picked without replacement from {l: 2, j: 9, h: 5, t: 2}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 65*m**3 + 5*m**2 - 5*m - 5. Let v(r) = 98*r**3 + 7*r**2 - 7*r - 7. What is -7*h(n) + 5*v(n)?\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 8)*(0*r**3 + 0*r**3 + r**3)*(-2 - 1 + 5).\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (-9 - -21) + (2 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*j + 68*j + 113*j - 12844 = -17*j for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2\/9, 0.27, 0.4 in decreasing order.\nAnswer: 0.4, 0.27, 1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 196258*w - 392522. Determine o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8090 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/1 + -69 + 33?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - 451. Let v = k - -815. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33919121*h**3 - 37293393.\nAnswer: 101757363*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) 2 (b) 6 (c) 0 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28)*((-96)\/(-5))\/12.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9605826 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:34 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywlawy. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-535)\/(-214)*2\/(-60)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130656.\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32454054 + -3?\nAnswer: 32454051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 + 2*d - 205. Calculate z(-8).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 2, 0, -36, -0.56, -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.22 + 0.62. Let k = 1 + 2. Which is the second smallest value? (a) k (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - -6. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449 + (-8 - -6) - 1*2.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 365*o**2 - 6799*o - 2579. What is f(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 2*j - 2, -3*j = -3*s. Let f(h) = h**2 - 7*h - 5. Let g be f(8). Suppose g = -2*n - 3. Which is the nearest to s? (a) n (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -55, -1, -26 in descending order.\nAnswer: 1, -1, -26, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -37*i**2 - 3*i + 3. Let u(o) be the first derivative of -25*o**3 - 7*o**2\/2 + 7*o + 4467. What is -7*r(m) + 3*u(m)?\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 0*a - 3*a + 220*a**3.\nAnswer: 220*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f + 2*f + 5*f**2 - 24338 + 142*f**3 + 24338 wrt f?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579882 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -66. Suppose w*m = 13 - 3. What is the remainder when 129 is divided by -5*(3 + -5) + 6\/m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 11, w: 6}. Give prob of sequence wwaa.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 408599 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + o - 4 = 0, -4*k + o - 1 = 3. Suppose k*t = -t - 16. Let j = 21 + t. Solve f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 + 284*y**4 - 888*y**3 = 0 for y.\nAnswer: -74, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60339 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688330.63 + -0.5?\nAnswer: 3688330.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 - 9*s + 9. Let f be (-132)\/(-10) - (-1)\/(-5). Let d be 6\/(-1) + 5*(-2)\/10. Let b = d + f. Determine j(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*h. Solve h - 20 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 264.4 + 6.6. Let l = 270.99005 - n. Round l to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/((-3660)\/240)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = -24. Suppose 4*v = v + z. Let r = -15 + 11. Which is the closest to 0.1? (a) r (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 81\/2. Let l = -127 + 72. Let x be 34\/(-10) + 33\/l + 1. Is i >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 divided by -7?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**17\/t)\/(t\/t**(-3\/8)))\/(t\/(t\/(((t**(-5)*t)\/t)\/t))*t)**46)**(-33) assuming t is positive.\nAnswer: t**(-64581\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2648137206\nAnswer: -2648137205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1652, 6538, 14654, 26000, 40576, 58382?\n\"Answer: 1615*g**2 + 41*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*y + 4*s, y - 26 = 2*y + 5*s. Let o be (-10)\/(-15) - (1288\/(-3) + y). Let u = o - 28. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*(39 + 15 + 14)*(-3 + 5 + 5)*(-3 + 3 - 2).\nAnswer: -1904*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17707720 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*i + 25, 0*f - f = -4*i + 37. Let x(n) = i*n - 2 + 0*n + 4. Let g = -66 - -71. Let t(l) = -13*l - 3. Calculate g*t(p) + 7*x(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:44 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(343) + 0 + sqrt(343))*-2*4)**2 + -4.\nAnswer: 1404924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**4\/6 - 8*x**3\/3 + 3*x**2. Let v be h(4). Solve v - 4\/9*m**2 + 2\/9*m = 0 for m.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8820 = -20*b + 5*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 4*h + 4. Let w be f(-3). Let d be 34\/10 + (-46)\/115. What is the smallest value in w, d, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128402 and 26700858?\nAnswer: 6758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixll when four letters picked without replacement from {x: 3, k: 8, i: 2, l: 3}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 4*h - 9. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 c when four letters picked without replacement from {c: 3, t: 17}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 691\/(-46) - (-3662)\/168452.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(3 - (4 + -3)). List the prime factors of (1125\/15)\/(1\/(-2)*p).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 38 + 19 + 19*u**2 + 18 to the form x*u**2 + y + v*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1156)\/(-221))\/(-34)*39\/(-495)?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -679, 53 in increasing order.\nAnswer: -679, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4054*o**2. Let w(y) be the first derivative of 2*y**3\/3 + 302. Give l(w(i)).\nAnswer: 16216*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 - -223. Suppose 3*v - 12 = -2*q, q + 2 = -b*v + 10. Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176.9 + -177. Let x = 0.1 - 0.1. Let p = x + y. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88, 178, 268, 358, 448?\n\"Answer: 90*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - 12. Let g = -53 - a. Let j be ((-108)\/147)\/(6\/g). Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*m**2 + 2*h*n + 23*h + 72*m**5*n - 16*m**3*n - 2*m*n + m + 7*n wrt m?\nAnswer: 2*h + 1440*m**3*n - 96*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-99)*(1 - 2). Let h(m) be the first derivative of s*m**2 - m**5 - 5\/3*m**3 + 0*m + 0*m**4 - 4. What is the third derivative of h(d) wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 11*i**2. Let n(k) = -6*k**2. Suppose 0 = 114*j - 115*j - b - 1, j + 26 = 4*b. Let f be 66\/(-9)*6\/4. Give f*n(w) + j*x(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 372, 816, 1428, 2208?\nAnswer: 3156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, z: 2, h: 1, c: 1, x: 1}. What is prob of sequence zxah?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54593, -109108, -163547, -217910, -272197, -326408, -380543?\nAnswer: -434602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 - 11*n**2 + 2*n**2)*(-8*n + 13*n**2 + 6*n + 0*n) in the form x + u*n**2 + d*n**3 + g*n + s*n**4 and give s.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-160)\/(-50) + 1\/(-5). Let m = -11350 - -45137\/4. Let q = 67 + m. Put -2, q, -3\/8, l in ascending order.\nAnswer: -2, -3\/8, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286571 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + 45 - 38) + -20 + 61?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93340 - 93339.5. Let b = -0.1 - -0.1. What is the second smallest value in b, n, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -20. Let v(x) = -x**2 + x + 1. Let h(n) = 2*n + 3. Suppose -354 = -6*y - 366. Give t*h(w) + y*v(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 6:16 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(324)\/sqrt(6))\/(sqrt(3) + sqrt(3) + sqrt(75)*3 + sqrt(3)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/5, 5, 4, 9\/578, 1\/3?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7344) + (sqrt(7344) - -2*sqrt(7344) - sqrt(7344)))*-1)\/(sqrt(84)\/sqrt(7) - sqrt(27)\/(sqrt(9)*-2)).\nAnswer: -72*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by -34\nAnswer: 94\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/4266 and 191\/2370.\nAnswer: 21330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618033422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3738498 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -385*x**3 - 11*x**2 + 359*x - 29 wrt x.\nAnswer: -2310*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i**2 - 27*i + 4153. What is the units digit of k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 6. Let x(k) = -5*k**2 - 317. What is y(x(b))?\nAnswer: -10*b**2 - 628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0 + 2*i + 0. Let a(l) = -l**2 + l + 1. Let h(g) = -10*g**2 + 9*g + 9. Let c be (36\/(-10))\/((-2)\/10). Let u(r) = c*a(r) - 2*h(r). Determine m(u(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 1 - 12 = -2*r, -27 = -3*w - 8*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 453958767.780002429 + -453956536.78. Let k = 2231 - p. What is k rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or 0?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 + 4*z - 4. Let a be m(7). Suppose -r - 13 = -22. Suppose -144 = 5*n - r*n. What is the greatest common divisor of a and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:44 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46 (b) -0.1 (c) 2 (d) 0.514 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -60*u + 12. Let m(c) = c - 1. Let r(d) = -10*m(d) - o(d). Let y(p) = -3540*p - 3540*p + 10621*p - 3542*p. Calculate r(y(v)).\nAnswer: -50*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 271592600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 101?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-45)*(-144)\/2660)\/((-30)\/(-75))?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:37 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + 2. Let n(f) be the first derivative of -27*f**2 - 20*f**2 - 21 + 48*f**2 + 2*f**q - 2*f. Determine n(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.403 and 5.\nAnswer: -37.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-16 - (1 - 2)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 58*1 - (4 + -2). Suppose -70 = -5*b - 5*j, 3*j = -b + 8*j - 22. Calculate the greatest common divisor of b and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 39*o - 3. Let h be c(5). Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0 - 4*j + 3*j**3 - 1 - 4*j**3 + 8*j**2. Let u be q(7). Let b be (24\/20)\/(2\/u). Solve 4*g + 0 = -b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -ba43cc9?\nAnswer: -ba43cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z - 77 = -19*z + 53 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4603045 is divided by 965?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 403638 and 5?\nAnswer: 2018190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and -12.208229.\nAnswer: -12.248229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 9*j**2 - 4*j + 11. Let v be i(-5). Let u(w) = -w + 19. Let o be u(14). Solve 3*n + 2*l = -8, 1 = 5*n - o*l + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 7:05 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1575898 and -79\/414710.\nAnswer: 7879490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 2*j - 2. Suppose -11 = 35*w - 36*w. Let x(s) = 2*s**3 - 6*s + 5. Give w*h(v) + 4*x(v).\nAnswer: -3*v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (27 + -15 - 31)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 763 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 8*x**2 - 9*x**2 to the form f*x + w + n*x**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3 + 1. Let m = 1 - o. What is the second derivative of 4*k**m - 2*k**3 + 0*k - k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23122110312 (base 4) to base 2\nAnswer: -1011011010010100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 1 = -z. Let f(m) = -m**3 - 4*m**2 + 5*m + 3. Let d be f(-5). Suppose 4*y + 9 = -d*i, -y + i + 0*i - 4 = 0. Put y, 3, z in ascending order.\nAnswer: y, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = -4*t + 17, -44 = -4*j - 2*t. Let n(c) = 29*c**3 + 24*c**3 - 11*c**2 - 10 + c - 52*c**3. What is the units digit of n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9\/8)\/u)\/u*u**(1\/11))\/(u**(-1\/13)*u*(u\/(u**(-22)*u*u)*u*u)\/u*u) assuming u is positive.\nAnswer: u**(-30839\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 + 7.227. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181485068?\nAnswer: 2, 197, 230311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 12:38 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:45 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21451024403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -8439.\nAnswer: 76\/8439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 205 = -217, 5*u - f = -3. Solve -25*t + 10*t + 15 = u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 8*t**2 - 8*t + 7. Let r be n(7). Suppose 0 = -r*d + 5*d. Let h be 0 - -1 - (2 + -2). Solve 4*o + 8 = d, 2*a - 4*o = h + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let n be -3*1*(-1)\/3. Let m(r) = r + 3. Let h(o) = n*m(o) - 4*t(o). Calculate h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54254 plus -2.8?\nAnswer: -54256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011012121 (base 3) to base 2.\nAnswer: -101100011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6627565860.31 - -113.\nAnswer: 6627565973.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7500986\/159 + -47176. What is the common denominator of 556\/70 - (-1)\/5 and b?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301306 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 + g**2 + 3*g**2 - 2*g**2 - 2*g**2 - g**2 - 3*g + 3*g + (0*g + 0*g + 2*g)*(2 - g - 2))*(-1 - 1 + 4)*(3*g - 3*g - g**2)*(-344 - 218 + 66).\nAnswer: -1984*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -15*g + 3. Let n(p) = -11*p**2. What is x(n(k))?\nAnswer: 165*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 - 96018*i**3 - 1055760*i**2 + 2399586*i - 1247805 = 0. Calculate i.\nAnswer: -31995, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18*(5\/3 + -2). Let p = 15 + -6. Let c be (-12)\/p*135\/q. What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53156346 to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 312551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n - 276 = 38*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y + 0 + 0*y**3 + 14*y**2 - 1\/12*y**4. Let g(f) be the second derivative of -11*f**4\/12 + 3*f. Give g(h(l)).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 + (-12 + -3 - (-40 - -17)) + -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 5*o. Let d(j) be the third derivative of j**5\/30 + j**4\/8 - 7*j**2. Let p(a) = 7*d(a) - 5*s(a). What is the second derivative of p(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/1677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/20 - 7*a**4\/6 + 7*a**3\/6 - a**2 - 11*a + 39. What is b(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 - -298 - (-2 + -28).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksskkfqgksf. What is prob of picking 2 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*f. Let b(l) = l**2 - 4*l - 3. Let n be b(4). Let w = f + n. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k**2 - 15 + 13 - 3*k**2 as h*k + w + a*k**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + (-32)\/(-14). Let t(j) = 0*j**2 + 2 - g*j + j**2 + 0. What is the units digit of t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*v + 9 - 33, 109*v + 987 = -3*k for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -901.7 + 901.9. Which is the nearest to 1? (a) -4 (b) -759 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1395, -1409, -1425, -1443?\n\"Answer: -y**2 - 11*y - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 plus 8781411068.53?\nAnswer: 8781411068.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983396.8 kilograms to milligrams.\nAnswer: 983396800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 4*w + 7. Let z = -20 + 14. Let n be q(z). Let i(o) = -o**3 + 8*o**2 + 7*o + 16. Let b be i(9). Sort n, -3, b in ascending order.\nAnswer: n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*x + 15 - 61, x + 3*m - 27 = 0. Suppose x*q - 528 + 120 = 0. Calculate the highest common factor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/22*((-15)\/(-60)*-20)\/(35\/154).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i**3 - 4*i**2 + 3. Let h be w(-1). What are the prime factors of ((-15148)\/(-32) - -2) + 6\/h?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/18)\/((-28)\/132)*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.5, 5, 2, 1\/5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/2 - 5*m**3 + 18. What is the third derivative of t(p) wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*6\/(-5). Let h = 4 + 0. Suppose 4 = -4*a, -x + 5*a - h*a = -1. Is u at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 41 + (-20 - -24) + -3\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 - 9*g**2 + 3*g - 4. Let n(i) = 14*i**3 + 24*i**2 - 9*i + 11. Let u(k) = 11*b(k) + 4*n(k). Determine u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/13)\/o)*o)\/(o**(-15)\/o) assuming o is positive.\nAnswer: o**(246\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331656 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118175\/3 at least as big as 39391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - v + 19 = -0*v, -3*j + v - 15 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 330\/(-1092) - 8\/(-14) and -79\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -34, -3.41, -5, 39\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1580728, 3161453, 4742178?\nAnswer: 6322903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99)\/sqrt(3)*-2)\/((sqrt(99) + sqrt(99) + (sqrt(99) - 2*sqrt(99)))\/sqrt(9))*-3)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24078146 to the nearest integer?\nAnswer: 4907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*s**2 + 3*s - 126*s**2 + 279*s**2.\nAnswer: 35*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 w, and 2 k when four letters picked without replacement from {k: 3, e: 3, v: 3, a: 2, x: 2, w: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.15, -3\/2, 34?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let c(t) = -t**2 - 2*t + 166. Let a be c(-14). Calculate z(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 520?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {h: 5, l: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmmbmmmbbm. Give prob of picking 1 b and 2 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*n = 21, h - 4*n + 13 = n. Let d be (24\/h)\/(2\/(-4)*4). Solve -2*x + d = 0, -6 = 3*t - 5*t - 3*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11118227 less than or equal to -33354685\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 a when three letters picked without replacement from ueaegagagakkkeaggk?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669205 is divided by 23900.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -4, 1\/63, 235, 4?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3660 (base 8) to base 11.\nAnswer: -152a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -30*s - 252. Let r be ((-8)\/60*-6)\/((-2)\/(-40)). Let c(a) = -6*a - 50. Let b(t) = r*c(t) - 3*o(t). What is the derivative of b(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*i - w, -25 = -i - 0*w - 5*w. Suppose -i*c = -5*v + 240, -c - 207 = 2*v - 6*v. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7880\/(-394))\/(30\/5).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/140*(-2)\/4*5. Solve p = -3*m + 3*x - 5, -x - 2 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 11*b**2 - 14*b + 14. What is c(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 12*l + 20. What is a(7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 154, -4, -11, -0.5, 38, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 + 219. Let n be (75\/(-90))\/(i\/(-3))*4. Solve n*b + 1 + 7 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375.6393 millimeters to meters.\nAnswer: 0.3756393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*o + 61339 - 8298. Let h = o - 120. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/24 - 2*t**5\/3 + 25*t**4\/6 - 171*t**2. Factor v(a).\nAnswer: -5*a*(a - 2)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 9 = -3*q - y, 3*q - 4*y - 26 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -35.983 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/5 of a decade?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {d: 3, a: 2, j: 3, c: 11}.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**2 + 1. Let g(w) be the second derivative of -w**3\/3 - w**2\/2 - 42*w. Calculate 2*d(r) - 3*g(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16099126 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - o - 1, 0 = -2*q - 3*o + 1. Let k = 16 - q. Suppose 10*h + 188 = k*h. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, -1\/10, 1\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904002701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 154 (base 13) to base 8\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -2, 8, -15 in decreasing order.\nAnswer: 12, 8, 3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/3 + 5746*r**3\/3 - 46184*r**2\/3 - 253624*r\/3 - 92192 = 0. What is r?\nAnswer: -2881, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 341\/55 - (-8)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2554010152 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 26 = 2*q, -2*g - 10 = -3*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*o - 10 = 0, 5*v + 4*o - 6*o = 17. Suppose -7 = v*r - 4*l, 5 - 4 = 3*r - 2*l. Suppose 0 = r*p + a - 62, -p + 2*a = -5 - 11. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 15. Let d be 2\/(-10) + (-82)\/(-10). Let c be h(d). Solve -u + c = -0*u + 3*m, 0 = -5*u + 2*m - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, g: 7, f: 2, h: 4, s: 1}. Give prob of picking 1 h and 1 g.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909485597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720026 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/42 - b**3\/42 - b**2\/14 + 10*b. Factor p(a).\nAnswer: (a - 1)*(2*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3 + 18 = -3*n, -5*m = 5*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/58275 and -31\/13875.\nAnswer: 291375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**3 + 2*b**2 + 16*b + 4. Let w(a) = -5*a**3 - a**2 - 9*a - 2. Let j(k) = 4*p(k) + 7*w(k). What is j(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 110345, 110354, 110361, 110366, 110369, 110370?\n\"Answer: -z**2 + 12*z + 110334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 1961078.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000086665416 rounded to seven decimal places?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83402.02 grams to nanograms.\nAnswer: 83402020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (202\/3737 - 1428\/(-2331))\/(2\/732*4).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:25 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1022 and 1\/3066.\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 6. Let b(t) = 17*t - 11*t - t**3 + 9*t - 9 - 4 + 5*t**2. Let h be b(7). Determine w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 - 3*d - 1. Let u(a) be the first derivative of -3*a**2\/2 - a + 7842. Calculate -2*k(r) + 3*u(r).\nAnswer: 2*r**3 + 2*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*36\/(-63)*(-7)\/2. Let m(l) = 2*l**2 - 5*l + 3. Calculate m(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187097 - -32742092\/175. Let v = 6\/25 - h. Put -2\/5, v, 2\/7 in descending order.\nAnswer: 2\/7, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 65*n + 207. Let s be y(29). Which is the third smallest value? (a) s (b) 0 (c) -1.7 (d) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 + 2. Let s = -0.9 + -1.1. Let q be ((-247)\/(-26) + -7)*-2. Put s, q, i, -2\/5 in decreasing order.\nAnswer: i, -2\/5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + g - 10 - 5 = 0, -h - 2*g = -15. Let j = 3.5 - 0.5. Let q be ((-3)\/15)\/(-33*(-4)\/220). What is the closest to j in h, q, -4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12732032 (base 8) to base 6.\nAnswer: 141215550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -22089*p**2 - 18. Let j(g) = 2*g**2 + 2. Give -i(y) - 9*j(y).\nAnswer: 22071*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2697 is divided by 995.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*v = -7036, 3*t + 4*v + 5276 = 6*v. Let a be (-15)\/25 - t\/10. What is a rounded to 0 decimal places?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80151498?\nAnswer: 2, 3, 7, 17, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -162 in increasing order.\nAnswer: -162, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 y, and 1 v when four letters picked without replacement from yuvob?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = -2*j. Let i be 1 + -1 + j + 4. Suppose -41 + 3 = -i*c. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 20*r + 4. Determine x(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/17))**(-17))**7)**(-4\/3) assuming l is positive.\nAnswer: l**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0)\/(2\/422). Let f = 26 + z. What are the prime factors of 2\/9 - f\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252 (base 6) to base 11.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 2*u**2 - 3*u**2 + (u**2 + 3*u - 3*u)*(-2 + 2 + 1) + (-5 - 1 - 16)*(-20 + 20 + 4*u**2) in the form w + l*u**2 + s*u and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137659 is divided by 1197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l - 11*l + 8*l)*(2*l + 2*l**2 - 2*l)*(5*l - 6*l + 5*l).\nAnswer: -152*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.13 - 33. Let s = d + 3.87. What is the smallest value in 2, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:25 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 54 = -i, 2*b = -3*i - 14 - 6. Let o = 17 + b. What is the greatest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*w - 4*o - 22, -2*w - 8 = 2*o. Let i = -49.944 - 0.886. Let t = 2.17 - i. Is w <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 684 + 896 = 4*l, 0 = -5*l - 25. Let g = j - -196. Let c = -58 - g. Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**8\/80 + 3*i**7\/70 + 13*i**6\/200 - 31*i**5\/100 - 3*i**4\/20 + 8*i**3\/5 + 4*i**2 + 8. Suppose u(o) = 0. Calculate o.\nAnswer: -1, 1, 8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - 1) + 594 + -546?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + 1. Let j(b) = -2 - 67607*b + 135221*b - 67612*b. What is -6*j(x) - 5*s(x)?\nAnswer: 3*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -1\/9, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 240 = 42*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-273))\/7*3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/18667632 and -65\/4?\nAnswer: 18667632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*y - 350, -4*v = -5*y + 3*y + 134. Suppose 0 = -9*g + 6*g + y. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k - 22*k - 5*k to the form f*k + d and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 17*u + 66150 = 0. Suppose 22*v - u = 11581. What is the greatest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**2 + 87*c**4 + 3*c**2 + 14*c**2 + 3*c - 2*c**3 + 6*c**3 - 85*c**4 + 2 to the form m*c**2 + w*c**3 + i + y*c + v*c**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1427928.\nAnswer: 1\/356982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 31211?\nAnswer: -31244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578ba (base 14) in base 13?\nAnswer: 2039b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -25. Suppose 3*u = 5*j - 12, -z + 1 = 3*j + 3*u. Let a(x) = j*x**2 + 2*x**2 - x**2. Let w(c) = 2*c. Determine w(a(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -1010.\nAnswer: -31\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1644*z - 21868. Determine n(-14).\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*u - 4*t, -5 = -2*u - 3*u - 5*t. Let i(f) = -4*f**3 + f. Let q(y) = -17*y**3 - y**2 + 5*y. Let r(b) = u*q(b) - 26*i(b). Factor r(n).\nAnswer: 2*n*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 + 296*l - 2325. Determine o(50).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(5) - (2 + sqrt(5) + 0)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = 2*s. Which is the closest to s? (a) 0 (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 + 49128*p\/7.\nAnswer: 3*p*(p + 16376)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -16*p + 4. Does 11 divide y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 645 and 2368827?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 119*p**2\/2 - 59*p.\nAnswer: -p*(p - 118)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -134 in descending order.\nAnswer: 2, -11, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 7 + 57. Calculate the smallest common multiple of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4*j + 8, -19*j + 70 = 5*o + 5*j - 26*j for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 19. Which is the fourth biggest value? (a) 0.1 (b) -3\/8 (c) -4\/9 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 143704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186 take away 642070?\nAnswer: -642069.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*k**5 + 805*k**4\/3 + 45*k**3 - 845*k**2\/3 + 105*k + 40\/3 = 0. What is k?\nAnswer: -1, -1\/10, 8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000363372 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.95 - -2. Let d be 24\/6 + -4 + (-3)\/(-4). Put q, d, 4\/9 in decreasing order.\nAnswer: d, 4\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 177\/5, -2, -0.2, 2 in ascending order.\nAnswer: -4, -2, -0.2, 0.1, 2, 177\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -1470386.3.\nAnswer: -44111.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**3 - 6*x**2 - 18. Let w be o(-4). Solve w = -4*s + 12 - 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/912, 2\/3, -0.042, 18, -4.\nAnswer: -4, -0.042, -1\/912, 2\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - 1. Let y = r + 26. Suppose 81 = y*j - 69. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132 + 80 - (-24 - 3)) + 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58893597299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*i - 127*i + 5138 = 89*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1 + sqrt(425) - sqrt(425)) + 4)*5)**2.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127661927.000199 + -127661874. Let n = 260 - 313. Let o = n + p. Round o to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -796 + 4793\/6. Calculate the common denominator of h and (-2)\/4*(-129)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92980 or -464896\/5?\nAnswer: -92980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -70272\nAnswer: 1\/17568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v + 85*v + 15*v.\nAnswer: 79*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15746 + 15748. Let 15 - 85\/2*f - 15\/2*f**w = 0. What is f?\nAnswer: -6, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(18))\/((-2*sqrt(144))\/sqrt(12) + sqrt(12)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -410*w - 1. Let i = 5 - 6. Is r(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**2 - 716*d - 678. Is t(99) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/126)\/(44\/33).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859988977?\nAnswer: 7, 11, 24155701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12447070 to the power of 1\/2, to the nearest integer?\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 2 + s + (-1 + 1 + 1)*(1 - 1 - s) + 2*s - 5*s + s + 2*s + 0*s + 0*s + 2 - 2 - 2*s)*(0*s + 6*s**2 - 8*s**2 - 5*s).\nAnswer: 2*s**3 + 9*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/15 + 3664*z**3\/5 - 57206*z**2 + 847096*z\/15 = 0.\nAnswer: -5573, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15764 (base 9) in base 16?\nAnswer: -2a4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (600\/180)\/((-6)\/9). Let p(h) = h - 5. Let q(x) = -2*x + 10. Calculate a*p(f) - 3*q(f).\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110142 (base 7) to base 13\nAnswer: -8a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9399001837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/(-33))\/(1\/3). Solve -3*y + 18 = -3*c, -y = c + 3*y + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1750 + -1201. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.2, 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29074069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2024, -2013, -2000, -1985?\n\"Answer: m**2 + 8*m - 2033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13a (base 12) to base 7\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 441, 397, 179?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/82*12\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/2, 3, -29, 0.1, -5\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 greater than 293\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.33 - -38.87495. Let z = -1.55 + t. What is z rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 37946821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 71, 81, 89, 95, 99, 101?\n\"Answer: -y**2 + 15*y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53 * 18856.\nAnswer: -9993.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1418 and -0.007?\nAnswer: -9.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**2 + 29*i - 74.\nAnswer: 2*i + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 8:55 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 4. Suppose j + 5 = x*j. Let r(u) = 5*u. What is the units digit of r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r - r)*(2*r + 3*r - 6*r) + 10*r + 0*r**2 - 7*r**2 + 3*r**2.\nAnswer: -3*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 19 (b) 5111 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147315 and 355020?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (-6*(-2535216)\/(-126) - 21\/49). What is x rounded to the nearest 1000?\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**6 + 973*j**5 + 1321*j**2 + j?\nAnswer: -240*j**3 + 58380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 16*j - 18. Let u be i(-14). Suppose 0 = -t + 1 + u. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3990 + 3988. Which is the fourth biggest value? (a) -4 (b) 3\/2 (c) 17 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c = -53*c + 63*c. Solve -2*y - r = -0*r + 15, -5*y - 2*r - 35 = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 8*a**2 - 15*a - 18. Determine t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1231, 2, 1?\nAnswer: 1231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 37. Let q be (-13)\/o*(-1 - -1). Suppose -6 = 3*u + 5*y + 4, 5*y = -2*u - 10. Solve -f + u*f = q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - -197?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 5, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 2\/13, 4, -2.84?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3503\/7 + -5972643\/11935. Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -687, -659, -523, -225, 289, 1073, 2181?\n\"Answer: 9*h**3 - 35*h - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/9000 and 51\/5072.\nAnswer: 5706000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**5 + 2*z - 2*z + (z**2 + 0*z**2 + 0*z**2)*(6*z**3 + 0*z**3 - 4*z**3) - 3*z**5 - 3*z**5 + 7*z**5 - 4*z**5 + 0*z**5 + 3*z**5 + z**5 + 0 + 0.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/22)\/(3468\/(-3179)). Solve -10*g**2 + 19\/2*g + g**4 - s*g**5 + 3*g**3 - 3 = 0 for g.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 3520 = -28*r. What is the greatest common factor of 100 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a. Let o(t) = 10957*t**2. Give o(l(m)).\nAnswer: 98613*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376 - 352. Which is bigger: 171\/7 or h?\nAnswer: 171\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551649589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 286\/5. Let t be 8 + 8\/(-80) + 831\/(-90). What is the nearest to y in t, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19967*u**4 + 13*u + 136105?\nAnswer: 79868*u**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 188788 divided by -109?\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-8))\/(1\/(-2)). Let q(m) = m**3 + 5*m**2 + 3*m + 1. Let k be q(-4). Suppose -8 = k*n - 3. Are c and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9495, 9593, 9895, 10503, 11519?\n\"Answer: 17*g**3 - 21*g + 9499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:47 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 212\/5 - 42. Let f be (-18)\/8*(-80)\/30. Let g be (-28)\/(-21)*f\/(-52). Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 = 5*i, b = -2*i + 4*b + 3. Suppose -i*l - 14 = l + h, h = 3*l + 14. Let o be 3 + -7 - (l + -3). Solve -5*k - 18 = -q, 8 = -o*k + q + q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -649.5 > 19762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111295985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 + 5. Let v(a) = 725*a - 3629. Let f be v(5). Let j be (2\/2)\/((-1)\/11). Let y(d) = -17*d**2 - 14. Calculate f*y(m) + j*n(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/37 in 1.3, 185, 3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268989 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5.230912\nAnswer: -5.230912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Suppose -p*w - 4*a + 38 = 0, -2*w + 5*a = -3 - 17. Calculate the remainder when 28 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 7085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from okokooooooo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -2 - 7 - (0 - 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64961?\nAnswer: 13, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -0.3 (c) 0 (d) -181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1296 and 2790512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**2 + 20*d - 20*d + (10 - 20*d - 10)*(d + 0*d + 0*d).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 33203?\nAnswer: 33200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1683212026 + 1683212505.9229926. Let d = c - 479.883. Let t = d + -0.04. Round t to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 2:26 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -36. Let w = -4 + 0. Let j = 11 - w. What is the remainder when j is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277478202 to the power of 1\/2, to the nearest integer?\nAnswer: 16658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*d = -198*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 - 7 = 0. Let h(w) = w**3 + 4*w**2 - 4. Let l be h(-3). Calculate the highest common factor of l and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9429124.92 and -0.232?\nAnswer: 9429124.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3884*o**3 + 3*o**2 - 3*o**2 - 2699*o**3 - 1186*o**3 + 24.\nAnswer: -o**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/8 and 83\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-8) - (14 + 111\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 34738*a - 69478*a + 34736*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, f: 5, m: 2}. Give prob of picking 1 m and 1 t.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 494.4 and 0.741.\nAnswer: 366.3504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5, -2*d + 3*b = -25. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6865 less than or equal to -6865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or -37622\/123?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3399 and -3.\nAnswer: 1.0197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -345, -387, -415, -423, -405?\n\"Answer: c**3 + c**2 - 52*c - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5585955*j**3 - 8975*j**2 - 4*j + 36 wrt j?\nAnswer: 33515730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 1 - 3*o + 5*o + (o + 2*o - 2*o)*(7 - 2 - 3))*(-4 - 2*o**3 + 4) as p + x*o**4 + u*o**2 + a*o**3 + n*o and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:22 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128280809 by 2.\nAnswer: -128280809\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + l + 4. Let y(w) = 2*w**2 + 3*w + 12. What is 17*q(r) - 6*y(r)?\nAnswer: 5*r**2 - r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 134365623 to the nearest one hundred thousand.\nAnswer: 134400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -15*x**2 - 3*x - 1. Let h(n) = -2*n**2. Let r(p) = -5*h(p) + t(p). Let j(b) = 4*b**2 + 2*b + 1. Let v = 188 - 185. Determine v*j(l) + 2*r(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*p**3 - 408*p**3 - 361*p**3 + 6 - 74*p.\nAnswer: 2*p**3 - 74*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -1051. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2768 and 31\/144.\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7811.\nAnswer: 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 4\/9, -14, 487.6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - -46) + 15 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 817646346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4\/3 - 574*a**3\/3 - 4975*a**2.\nAnswer: -a**2*(a + 75)*(5*a + 199)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 30. Let r(u) = -25*u + 1000. Let h be r(40). Let y be ((-2)\/9)\/((-15)\/(-9)). Which is the closest to 0.4? (a) h (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -412, -1551, -3492, -6319, -10116, -14967, -20956?\n\"Answer: -14*h**3 - 317*h**2 - 90*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60673307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(539)*-1)*5)**2*-2 + (3 + 1*(0 + sqrt(128)) + -3)**2.\nAnswer: 6172\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 7*s**2 + 5*s. What is the remainder when y(-2) is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -80*1) + 6. What is the highest common factor of 140 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79443 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13199.\nAnswer: 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*n**3 - 35*n**3 - 17*n**3)*(-58*n + 18*n - 20*n).\nAnswer: 5040*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 9. Let i be x(12). Let q be 2\/(8\/12) + -23. Let c = -6 - q. Solve -8 = -2*z + 3*p - 2*p, z - i*p - c = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3256)\/1184)\/((-2)\/(-8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2264030 and 217790.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 745 + 3*h - 4*h**3 - 718 + h**3 to the form d*h**3 + t*h**2 + p*h + j and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 11. What are the prime factors of (w + 4)*(0 - 15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -885 - -993. What is the remainder when k is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001936908 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.54 in 27, -5, -0.5, 0.1, -2, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -13*b**4\/3 - 94*b. Let y(m) = -2*m**2. Determine z(y(a)).\nAnswer: -208*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let q be (1 + -3)*1*-1. Let b(w) = q*w + 3*w + 3*w + w. Calculate b(a(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054453?\nAnswer: 617, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9131*j = 2412*j - 1315902 for j.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:35 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-24)\/(d**(1\/4)*d))**(27\/2) assuming d is positive.\nAnswer: d**(-2727\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdkdeekkkkkkkekkkk. Give prob of sequence dee.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0171852152 rounded to five decimal places?\nAnswer: -0.01719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, w: 1, h: 5, l: 3, s: 2, d: 4}. Give prob of sequence hsos.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 n when three letters picked without replacement from ntnkjknnnnntnnlnlln?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 25639 (b) 5\/12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3683 times -4\nAnswer: -14732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -458962, -917708, -1376454, -1835200, -2293946, -2752692?\n\"Answer: -458746*k - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 divided by 31?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1403693.71 to the nearest one thousand.\nAnswer: -1404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3870.494 millennia?\nAnswer: 3870494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o**2 + 0*o + 5\/4*o**4 + o**3 - 7. What is the third derivative of t(f) wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 - 17 - -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -678178\nAnswer: 5\/678178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3 + (-11)\/(-3)) + 1. Solve 0 = 3*q - 2 - n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(4\/3)\/(p**1\/(p**4\/p)))**(4\/3) assuming p is positive.\nAnswer: p**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566751986.\nAnswer: 2, 3361, 84313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s - s**2)*(-25*s - 2*s - 3*s)*(-s + 0*s - 2*s).\nAnswer: -90*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -196 + 196 - 10*f**3 + f**3 + 3*f - 3*f + (-4*f**2 + 2 - 2)*(-2*f + 3*f - 3*f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*a - 1307 = -6949 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/9 - 260512*i\/3 + 4241656384.\nAnswer: 4*(i - 97692)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyzy when four letters picked without replacement from {y: 5, z: 6, e: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 224.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 17073.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -14*h + 1005. Find the first derivative of 77 - h + 137*q**3 + 100*q**3 + 191 wrt q.\nAnswer: 711*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(225) + sqrt(80)*-2)**2.\nAnswer: 1521\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 15*g + 13. Determine o(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-5*84\/180)*(-1334)\/69.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:37 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 6*k**2 - 5*k + 4. Let i(l) = l**2 - l + 1. Let d be 38\/(-19) + (1 + -3)*1. Determine d*i(b) + g(b).\nAnswer: 2*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -12.13.\nAnswer: -37.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3626509*u**3 + 6367635.\nAnswer: -10879527*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342653387 by -4.\nAnswer: 342653387\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995482?\nAnswer: 2, 997741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sgssssssssslss.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 8*f - 3*c = -3, 0 = 5*c + 20. Solve -3*t + 4*u - 31 = 0, -f*u + 27 = -3*t - 0*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6251*i**2*q + 2225*i*q wrt i?\nAnswer: 12502*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 16*c**2 - 17*c + 5. Let r be (-2)\/2 - (8 - 26). Let p be n(r). What is the second derivative of 9*f**5 - 13*f + p*f - f**5 + 6*f wrt f?\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147047 (base 9) to base 3\nAnswer: -11121001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**9\/504 - 37*r**7\/210 - r**6\/120 - 1291*r**5\/30 + 946*r**2. What is the third derivative of h(k) wrt k?\nAnswer: 120*k**3 - 888*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 229 and 1?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00918532205 rounded to 5 decimal places?\nAnswer: -0.00919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 1:10 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -0.01422338\nAnswer: -0.17068056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1221 = 3*n - 396. Let s = n - 420. Let j = -2 + 32. Calculate the remainder when s is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5 - -19.1. Let x = 3 + 10. Let p = b - x. Sort 0.1, p, 3.\nAnswer: p, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*l - l. Let w = 119 - 88. Suppose 3*g - 3*t - t - w = 0, -5*g = t - 90. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g = -84*g + 60. Calculate the lowest common multiple of g and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 52101?\nAnswer: -52073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1278, 5131, 11554, 20547?\n\"Answer: 1285*s**2 - 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.2, 3, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815530403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((38\/30)\/(-19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3609583, -3609569, -3609545, -3609505, -3609443?\n\"Answer: u**3 - u**2 + 10*u - 3609593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 79 + 6 = -4*c + 9, 0 = -3*c - 42 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/(24\/(-3852)). Suppose -77 - o = -2*k. Suppose 2*n - 4*h - k = 0, 4*n - 6*n - h + 87 = 0. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167325 divided by -55775\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*m**4 + 51*m**4 - 14*m**4)*(8 - 6 + 17).\nAnswer: 1748*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/455*10*2394\/(-33744)?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5 + 8*n**2 + 16 - 7.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 164*h**2 - 168*h.\nAnswer: 4*h*(h - 1)*(h + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i - 3204 = 4*z, -3*i = 4*z + 4798. Let p = -2358 - i. Is (75\/30)\/((-2)\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2291, -2288, -2283, -2276, -2267?\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 32) + (1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7061 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -22 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517340.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 x when three letters picked without replacement from rxxnrxerrfxexxn.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 235047 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-280)*-4)\/((-34)\/(-119))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/2 - 3061*o**4\/4 - 585989*o**3\/2 - 145541*o**2 + 292995*o + 585225\/4 = 0.\nAnswer: -765, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = 0, 0 = 2*a - 4*a - 4*y - 8. Suppose t + 4*i = 77, 3*t - 167 = -0*t + 4*i. Suppose 5 - t = -a*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 2*g**4\/3 + g**2 + 59*g. Let d(q) = 2*q. Calculate d(i(f)).\nAnswer: 16*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/263589 and 125\/36375282.\nAnswer: 36375282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4243661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6050073 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 53*a + 66. Calculate the remainder when v(-21) is divided by 79.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (149 - -1)*5\/15 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25423438 from 6.\nAnswer: -25423432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 53249\nAnswer: -15974.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.431183 litres?\nAnswer: 431.183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1445*n - 20 = -4*g - 1453*n, 0 = 4*g - 5*n - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.8737 microseconds in nanoseconds?\nAnswer: 668873.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3) + -1 - 10. Let w be 3\/(-2 + -7)*c. Solve -6*o + 6 = -w*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v - v - v - 3*v. Let m(t) = -t**3 - 8*t + 2. Give -m(r) + 6*y(r).\nAnswer: r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3489 less than -21.8742?\nAnswer: -21.5253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11236176 to the nearest integer?\nAnswer: 3352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 83464351629063+0.5\nAnswer: 83464351629063.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -3, 0.33, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1920)\/(-82 - -92)*(-3 - -1)\/((-48)\/(-8)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -145036aa?\nAnswer: -14503701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -763, -1720, -3059, -4780?\nAnswer: -6883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26135 - 26131. What is the nearest to 0.3 in -0.1, 3.9, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sssskk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.083 minus -687107967?\nAnswer: 687107968.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16404\/5 + 3280. Let n = 29 + -57\/2. Let l = -4.02 - -0.02. Which is the nearest to n? (a) -2\/5 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1224, 100 in descending order.\nAnswer: 1224, 100, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 2*t - 1. Let n be z(-5). Let f = 22 + -31. Let r = f - n. Solve -r = -b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueeuku. What is prob of sequence uueu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + i - 47 + i + 47.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1371313068 to the nearest integer?\nAnswer: 37031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-8\/5)))**(-18) assuming s is positive.\nAnswer: s**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*q - 299 - 581 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 30. Suppose 3*r + x + 30 = 0, 0 = 3*r - 4*x + x + 18. Let i be k(r). Suppose 6*u = i + 3. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1420 and 36856.\nAnswer: 13083880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 275, 0.5, 0.3, 238 in increasing order.\nAnswer: 0.3, 0.5, 238, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -695 - 2897*g**3 - 27306*g + 27306*g wrt g?\nAnswer: -8691*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 0.24253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.5. Let u = 2 - -1. Let h = 41 - 124\/3. Sort h, u, b in decreasing order.\nAnswer: u, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15716101\/174531 + (-1)\/(-42)*-2?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 24*b - 30 + 103 - 34 - 26*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + v**4 - 4*v + 0*v**3 + 1\/4*v**5 - 4*v**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -1505, -4945, -11603, -22541, -38821, -61505?\nAnswer: -91655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11755.\nAnswer: 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -139*v + 4. Let a be j(-2). Suppose a = 8*c - 142. Suppose x - 4*x = -33. Calculate the remainder when c is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -124, 4, 1, 29 in ascending order.\nAnswer: -124, -1\/4, 1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.465661 millilitres in litres?\nAnswer: 0.001465661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8471?\nAnswer: 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -249.821 - -250. Round b to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26657 - 14876. Suppose 69*p - 6*p = l. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 20*k + 3. Let m be o(10). Which is the closest to m? (a) -0.2 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + 0 + 2 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -177aa9 + -2?\nAnswer: -177aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 5*c)*(3*c - 4*c + 0*c) + 0*c**2 - 5*c**2 + 2*c**2 + 688*c**2 - 387*c**2 - 454*c**2.\nAnswer: -157*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let t(p) = -13 + 1 - 11*p + 12. Determine t(j(y)).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/4139973 and -77\/3372.\nAnswer: 16559892","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = w - 679, -4*z + 908 = 2*w. What is the highest common divisor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -0.4, 9306, 0.2, 0.97 in descending order.\nAnswer: 9306, 5, 3, 0.97, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322357 (base 8) in base 11?\nAnswer: -232a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:38 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001 (base 2) in base 13?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1716.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 336 = v. Let o = v - 34. Let z be 21\/o*4\/22. Is z greater than or equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 times 73998?\nAnswer: -17685522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679 (base 13) in base 10?\nAnswer: 9902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h + 4. Let s = 135\/56 - 16\/7. What is the closest to 1 in s, 0.1, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 8*p + 5. Let l be v(9). Let t be -6 + (-20)\/l - -1. Suppose n + 2*c + 1 = t, -3*n = n - 3*c - 29. Solve -10 - 10 = -n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55215*f**3 + 20572 wrt f.\nAnswer: 165645*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6)*(-885)\/(-10). Suppose 0 = 5*d - 122 - g. Let r = d + -43. Solve 0 = -k + 6*k + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**6\/660 + 2*j**5\/165 - 85*j**4\/132 - 8*j**3\/3 + 3049*j**2 + 2. What is t in w(t) = 0?\nAnswer: -11, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = -53*d + 14488. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 50*u - 1584. Calculate v(72).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 - 1008*b**2 - 213435*b - 10326906 = 0.\nAnswer: -93, 1194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 11:31 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/77592 and 59\/48495.\nAnswer: 387960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j + 2. Let w be m(-1). Suppose 5*b = -2*u, w*b = b - 3*u. Sort b, 2\/13, 1\/2 in descending order.\nAnswer: 1\/2, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378 by 158676.\nAnswer: -9\/3778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -668\/251095 or -1?\nAnswer: -668\/251095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -5. Solve 2*m = -0*m + x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117329 + 2*k**2 + 1307*k + 529*k - 65702 + 229281 + k**2 = 0 for k.\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 122.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 28562990928 - 28562990928.\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - d = -3*g + 6, 5*d + 19 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 750250247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 970796 + -46531223074\/47931. Is 1 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 8*q**2 - 10*q - 44. Let m be (-2)\/(16\/153 + 20\/170). Let k be p(m). Solve k*h - 126*h = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -3\/2*g**2 - 1\/10*g**5 - 2 - 15*g + 1\/3*g**3 + 0*g**4 - 1\/30*g**6. Find the second derivative of o(s) wrt s.\nAnswer: -12*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1, 890, 0.5, -32, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 72*i - i**2 + 1 - 37*i - 37*i. Let u(d) = 16*d**2 + 11*d - 5. Let t(j) = j**2 - 8*j + 9. Let w be t(7). What is w*u(c) + 11*n(c)?\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 z when three letters picked without replacement from ezwenffppzenee.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37182210.\nAnswer: 2, 3, 5, 13, 95339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(3136))\/((5*(sqrt(280)\/sqrt(10) + sqrt(28)))\/sqrt(4))*3 + -5.\nAnswer: -192*sqrt(7)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 - -397\/3. Let s(d) = -4 + 3 - d**2 + 6*d - 5. Let c be s(5). Is c > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 8 = 6, 4*x - 3*u + 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3 + 9. Let s be 56\/(3\/(-6)*l). Find the common denominator of -25\/3 and (-1)\/(-6)*2 - 49\/s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40390300 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 193566805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 102. Let y = 306\/7 + f. Which is the nearest to 0? (a) -5 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from mkyikkmyykmyimk?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6903 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/2 + 1. What is the closest to 0 in f, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-4)*(-24)\/(-10). Solve -5*v - 26 = w, v = -x + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-14))\/(20\/110 + (-138)\/880)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/30 and -79\/110028?\nAnswer: 550140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5115, 5070, 5025, 4980, 4935, 4890?\n\"Answer: -45*c + 5160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 7*a + 6. Let f = 188 + -191. Suppose 5*w = -30 + 10. Let q(o) = o**2 + 6*o - 5. Determine f*b(k) + w*q(k).\nAnswer: -k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 451 + 227 = 210. Solve b + 66 = -15*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 438, 734, 1172, 1800?\nAnswer: 2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 312, 4, 6 in ascending order.\nAnswer: -2\/13, 4, 6, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 2\/187 (c) -2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 7*q**2 - 2*q - 9. Let p = 91 - 98. Let h be o(p). Suppose -2*z = -5*l + 558, h*l + z = 6*z + 555. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 - 2*w**2 + (3 - 2*w**2 - 3)*(0 - 5 - 2).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1 + 3*k + k**2 + 2*k. Let u be r(8). Suppose -m - u = -5*n - 5*m, -3*m - 59 = -4*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + a + 4, -5*a + 9513 - 9497 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c**2 + 25*c - 9. Let g(u) = 4*u**2 - 13*u + 5. Let p(s) = -11*g(s) - 6*x(s). Let m be p(-3). Suppose 2\/3*v - 2\/3*v**m + 0 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 33c08c?\nAnswer: -33c094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52475 - -52475.21271. Round z to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4\/4 - s**3\/6 - s**2\/2 - 6. Let t(j) be the second derivative of u(j). Find the first derivative of t(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 7*w**2 + 3*w. Let j be h(4). Suppose 3*t - 141 = -j. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4303*b**3 - 2*b**2 + 837*b + 2?\nAnswer: 25818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/56 + 3845\/5544. Let t = s + 703\/3465. Let w be -9 - -6 - 17\/(-5). Put -1.5, w, t, 0.3 in decreasing order.\nAnswer: w, 0.3, t, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 8 (b) -3\/7 (c) -10\/3 (d) -54 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/24)\/(1\/(-6)). Let q = -3.1 - -3.4. Put q, t, -2\/9 in descending order.\nAnswer: t, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**4)**48)**(-12\/7)*(p**7\/(p*p**(9\/5)))**43 assuming p is positive.\nAnswer: p**(-8079\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67689*b**3 - 2019*b**2 - 123876184*b.\nAnswer: -406134*b - 4038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/24*6\/(-40)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(((s\/(s**(-17)*s))\/s*s)\/s))\/s)\/s)\/(s*s\/s**(2\/19)*s*s*s)*(s**22)**(2\/149) assuming s is positive.\nAnswer: s**(-58317\/2831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/30 and 145\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55229 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*c**2 - 267*c**2 - 29*c**2)*(1 - 1 - 3)*(-3 - 1 + 2).\nAnswer: -2064*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -23*r**6\/60 + r**5\/12 + r**4\/8 - 2*r**3\/3 - 42*r**2. What is the units digit of f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 2*a. Suppose 0*b = 4*b - 20. Suppose 0*q = -b*q - 10. What are the prime factors of t(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 471*z**2\/7 - 2844*z\/7 + 108\/7.\nAnswer: 3*(z - 6)*(157*z - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -263? (a) 76 (b) 3\/10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17865 + 17898. Calculate the highest common factor of 1837 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 162*a**5\/5 - 118179*a**4\/5 + 294813*a**3\/5 - 274962*a**2\/5 + 113436*a\/5 - 17448\/5 = 0.\nAnswer: 1\/2, 2\/3, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-65)\/(-715)*(-22)\/(-12). Suppose 3*h = -58 - 95. What is the third smallest value in r, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/75)\/(12\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0*a**5 - a**5 + 0*a**5) - 32*a**5 + 105*a**5 + 338*a**5 - 3*a**5 - 5*a**4 + 5*a**4 - 2.\nAnswer: 406*a**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/42 - -1)\/(-46*61\/11224).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 2*z - 1. Let a be ((-9)\/(-2))\/(12\/16). Let p be ((-12)\/9)\/(a\/(-9)). Suppose 0 = p*t + 3*i - 19, -2*t + 8*i - 21 = 3*i. Determine v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 19 = 5*i, 2 = -4*i + 5*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203054?\nAnswer: 2, 101527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let d be 12 - ((-31)\/62 + (-1)\/2). Let v = 42 + -39. Solve -5*c + a = -d, a + 3*a + n = v*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -497, -926, -1345, -1748, -2129, -2482, -2801?\n\"Answer: n**3 - n**2 - 433*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*o**5 - 23*o**4 + 5*o**3 - 400539*o**2.\nAnswer: -2760*o**2 - 552*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403606516?\nAnswer: 2, 139, 743, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 2*x**2 + x**3 - 12*x + 0*x**2 - 11. Let s be g(9). Suppose -s = -5*u - 200. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 4, -7, -6.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - a**2 - a - 1. Let v(f) = -6*f**3 + 6*f**2 + 15*f. Let b(k) = -3*o(k) - v(k). Find i such that b(i) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22971.464 + 22996. What is g rounded to 1 decimal place?\nAnswer: 24.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36\/11 - -224\/55. Sort 2\/13, z, -1\/6, 1\/4.\nAnswer: -1\/6, 2\/13, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.67 + -31.8. Is 0 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 11*a**2 + 347*a - 48. Determine k(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/5300?\nAnswer: -3\/5300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:18 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 4 (c) -0.4 (d) -110 (e) -9\/4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90343550 by -29650.\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) -3\/10 (c) -0.423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 247?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -168*o - 2192. What is m(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u = -2*f - 4, -2*f + 6 = 0. Suppose -2*d + 50000 = -4*m, 50000 = 2*d + u*m - 0*m. What is d rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -h + 47, -3*h = 5*i + h - 67. Let x(v) = -11 + i*v + 9 - 3*v**2 - 16*v. Calculate x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-1484)\/(-8))\/7. Suppose 2*m = -4*c + 90, 2*c = -2*m + 3*m - j. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 39 - 4. Solve -3*j - 14 + x = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = -5*d + 1551, -2*d = -5*r + 7701. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -18. Let v be t - -96 - 11\/11. Suppose 2*n = -n + v. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117\/5 - 24. Is h at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*a + 7*a - 12*a - 1992504. What are the prime factors of a?\nAnswer: 61, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m + 3*f + 7, 3*m - 6 = 2*f. Let l be 4\/(-7) + (-256)\/(-56). What is the second derivative of -5*z**l - 2*z**4 + z**4 - z + m*z wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -3\/5, 0.2 in ascending order.\nAnswer: -5, -3\/5, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311435 + -2?\nAnswer: 311433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -3. Let k = 9 - w. Suppose 2*a - 16 = -2*a. Put a, 1, k in decreasing order.\nAnswer: a, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681 - 2\/(-2)*(4 + -9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*-1)**2 - (sqrt(704) + 4)**2) + (sqrt(88) - 2*sqrt(88) - sqrt(88))\/sqrt(2) + 0.\nAnswer: -68*sqrt(11) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*u - 20 = 0, 3*n + u = 8*n + 4. Solve 5*c = -2*q, -2*c = 3*q - n*q - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**3 - i**2 - 2*i - 1. Let z(y) = -y**2 + 7*y - 1. Let k be z(7). Let g be a(k). Solve -g*d = u + 18, -4*d - u - 24 = -5*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 242, 355, 468, 581?\n\"Answer: 113*h + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7480 = r, 0 = -4*n + 3*r - 148 + 6132. Suppose z = -203 + n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.01 (c) -1\/3 (d) -0.4 (e) 1791 (f) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1710 divided by 6.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3 (c) 11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/12574 and 20\/3.\nAnswer: 37722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(63).\nAnswer: -5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113894 - 113922.9932. Let o = 66 - 37. Let f = w + o. What is f rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, q: 3}. What is prob of picking 1 q and 1 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 4 + 2 + 6*q + 4. Let h be 186\/24 + 10\/8. What is the remainder when b(h) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-82)\/16 + 5 + (-399)\/(-56) - -38963.\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*s + 4*j, -23941*s + 23939*s - 5*j = -3 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 257560 and 744184.\nAnswer: 174883240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18962887443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-69)\/(-46)*(-2)\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 35 = -n + 8*u, 3*u + 7 + 9 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*z**3 - 9*z**3 + 82*z**3 - 3*z + 3*z + z**3 + (z**3 + z**3 - 3*z**3)*(4 + 1 - 3) as l*z + r*z**3 + a*z**2 + m and give r.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -22, -57, -118, -211, -342, -517?\n\"Answer: -o**3 - 4*o**2 + 4*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 2*j**2 + 7*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/23 (b) 252\/11 (c) -4 (d) 0.4 (e) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/54*226\/(-16). Let k = r + 9\/16. Suppose 0 = 3*s - 0*s - 4*n + 17, 5*n - 26 = -s. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 - 2898. Let n(i) = 7*i. Calculate c(n(j)).\nAnswer: -294*j**2 - 2898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7569937 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 - s**4\/12 - s**3\/2 - 133*s**2. What is q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose -g*t + 32 = -2*p, -2*t - 53 = 5*p + 41. Let u = 27 + p. Solve -z - u = -k + 2*z, 0 = -2*k - 5*z - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = -8*p + 22586. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90002 (base 10) in base 12?\nAnswer: 44102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -j + 2*j + 24988, 0 = 2*j + 5*t + 49975. List the prime factors of (-1 - (-1)\/3) + j\/(-90).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 2*w**2 - 3*w. Let t(n) = -n**3 - 5*n**2 + 7*n. Let m be (6 + -7)*(-8 + 12\/4). Give m*k(p) + 2*t(p).\nAnswer: 3*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106 and 6734.\nAnswer: -713804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/9090354 and 131\/5194488?\nAnswer: 36361416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9957863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (21 - (-60 - -37)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1456\/(-146640)*-141*18\/7?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100010101000010010 (base 2) to base 5.\nAnswer: 1233303201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 675769*z**4 - 407*z**2 - 660*z wrt z.\nAnswer: 16218456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*s - 4*o, -16 = 5*s + 4*o + 9. What is the tens digit of 1*s + 29 + 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)\/s*s**5)\/(s**(-1\/3)\/(s*s**(4\/7)*s))*(s**(3\/5)*s\/(s**9\/s)*s)**(8\/17) assuming s is positive.\nAnswer: s**(10223\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q + 4. Let f be n(-7). Let p = -26 - f. Let s be 9\/p*2*2. Solve -a - 1 + s = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, -9, -38, 4060 in descending order.\nAnswer: 4060, 4, 2, -3, -9, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 15, 122*x = 2*l + 126*x - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/((-3)\/(-3)*2). Suppose -4*w - 5*k = -61, -3*w + 0*k - 4*k = -46. Suppose 3*z - 5*f + 0*f - w = 0, 0 = -4*f - 4. Solve z = d*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**5 - 383703*k**3 - 29630499*k**2?\nAnswer: -300*k**2 - 2302218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kquhqhhwkokqukk. What is prob of sequence hqhh?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 270005 = 5*i, -5*i + 11961 = v + 281956. Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -4\/5, 0, -0.1, -1\/6, 10.\nAnswer: -4\/5, -1\/6, -0.1, 0, 0.03, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 413135744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 21*p**2 + 98*p - 470. Let v be z(17). Solve 1230*f - 1220*f - v = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**3 - 2*x**2 + 1. Let a be q(-1). Suppose y + 12 = a*y. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -49, -72, -101, -136, -177, -224?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 0 + 0\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 83*c**3 + 2*c**2 - 4*c + 3. Let a(w) = w**3 - 7*w**2 + 1. Let b be a(7). Let n be l(b). What is the greatest common factor of n and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55340 and 8.\nAnswer: 110680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 35. Suppose -3*h = 2*j + 5 - 4, -5*j - 3*h = m. What is the closest to -1 in -2\/3, 4\/9, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.34816mg to grams.\nAnswer: 0.09134816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdoogtmr. Give prob of sequence gttd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3.5. Let n = a - 0. What is the nearest to 0.1 in -2\/19, -3, n?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -9. Suppose x = 5 + l. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 3, y: 1, v: 2, r: 1}. Give prob of picking 1 f and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1432 + -21484\/15. Which is the closest to -2\/5? (a) -4 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32423 at least -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 23 = -5*k + 10, 2 = -4*k - 2*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 1:50 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*-1*sqrt(1700) + sqrt(1700) + -1 + 4.\nAnswer: -30*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35017 and 322331?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + y + 22, 4 = -v - 4*y - 0*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otqqfqtqktqtqtqqq. What is prob of sequence qo?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 4, 0, 2\/69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 + 1\/4*i**4 + i**2 + 0*i + 0*i**3 - 1\/10*i**5. Find the second derivative of n(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*h - 418*h - 6574 - 340*h.\nAnswer: 2*h - 6574","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-6)*663\/(-340).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 819855708 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33381807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4311642 is divided by 80?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9 = 2*y + 2*b, -y = 5*b + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394591629 to the power of 1\/2, to the nearest integer?\nAnswer: 37344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:26 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 79*d - 796. Let l be s(10). Let r(h) = h + 1. Let b(y) = -4*y + 3. Give l*r(u) + 2*b(u).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.626477 * -8.\nAnswer: 5.011816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1234 (base 6) to base 15\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 10, -2*r + 0*r = -5*g - 57. What is the third smallest value in r, -5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 - 7 = -3*v, 9 = 4*g - 5*v. Let s(t) = -t**3 + 6*t**2 + 5*t - 7. Let n be s(g). Solve -4*d = -4*o - 4, d + 3*o + 2*o = -n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) 177\/8000\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:32 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2227, -2220, -2211, -2200?\n\"Answer: p**2 + 4*p - 2232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5546090 is divided by 1386520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412886.\nAnswer: 2, 3, 181, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x + 4*x - 2*x + 3 + 2*x - 3 + (-1 + x + 1)*(-1 + 1 + 2) + 3 - 2*x - 3 - 3*x + x + 3*x + (5 + 1 - 4)*(4 - 4 + x) + 3*x + 0*x - 2*x + 0 + 2*x + 0.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, 122920 in decreasing order.\nAnswer: 122920, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9830453 and 31855?\nAnswer: 6371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 15. Let q(h) = -2*h + 14. Let d(x) = -3*g(x) - 4*q(x). Let m be d(-9). Let y be m\/(-10) - 14\/(-30). Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t - 140. Calculate n(0).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.5 and -2721.\nAnswer: -102037.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -36. Let g(d) be the second derivative of 0*d**2 - 3*d - 1\/3*d**s + 0. What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3039 + 3150. Solve 5*v = -91 + z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 696*h - 1674 wrt h?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368380, 368394, 368418, 368452, 368496, 368550, 368614?\nAnswer: 368688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2 = 3*o + 1, 0 = -o + 2*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36108*x + 36064*x + 36102*x + 36096*x - 144369*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 9*v + 6. Let q be k(5). Let d be 8 - (4 + -1 + q). Solve 0 = -3*u - d*f + 20, u + 4*f - 20 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 4*w - 1. Let k be c(-5). Let q = k - -10. Find the second derivative of -q*g + 0*g + g**2 + g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17692 (b) 9\/4 (c) 30 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 851.5855ug in nanograms?\nAnswer: 851585.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7427420 by -11660.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + 5 + -2 - (sqrt(1008) + 6*(1 + sqrt(1008) + sqrt(1008))).\nAnswer: -154*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 4*s + 3*g, s - 9 = -3*g. Sort -11, s, -1.\nAnswer: -11, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28*(-14)\/(-98) + (-26)\/(-4)*532 and 2.\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 92*u - 155 + 90*u + 82.\nAnswer: -2*u - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*d + 7*d + 116, d = -1. Let f be (658\/v)\/((-1)\/(-2)). Let x = f - -78. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.9 + 1.9. Let r = 2 + c. Let b = r - -10.9. What is the second smallest value in b, 1, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (-3150)\/105 + 7*2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 1 y when three letters picked without replacement from fkkkbkkjkkyykyyl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1047733224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93421 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaakaakaa. Give prob of picking 3 a.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 6. Let j(q) = -4*q + 6. Let v(g) = -2*i(g) - 3*j(g). Differentiate v(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/30 - 2*g**4\/3 - 7*g**3\/3 - 165*g**2\/2 + 16*g. Let d(j) be the first derivative of i(j). Factor d(u).\nAnswer: -2*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 21*s**2 + 11*s + 3. What is a(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 65251*l. Let y(o) = 12*o. Calculate r(y(k)).\nAnswer: 783012*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c. Let s(k) = 2086*k - 12. What is s(l(f))?\nAnswer: 10430*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**3 - 2*q**2 + 2*q - 2. Let x(w) = 90*w**3 - 21*w**2 + 21*w - 21. Give 63*d(g) - 6*x(g).\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4533, 4543, 4567, 4611, 4681, 4783?\n\"Answer: f**3 + f**2 + 4531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(7\/6)\/(77\/110)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3 - 33189*o**2 + 91709448*o + 459377340 = 0?\nAnswer: -5, 5534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 1, -417, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 4*b + 7. Let s be o(6). Let z be (-2)\/3 + 256\/24. Let u = z + s. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16076484 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024*t**3 - 139*t**3 - 205*t**3 + 739*t**3 + 27*t**2 - 10*t - 2.\nAnswer: 1419*t**3 + 27*t**2 - 10*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -37566*f + 4808452. Determine d(128).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5053\/8 + -632. Which is the biggest value? (a) h (b) -2 (c) -3\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m - 3. Determine g(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2870715696 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**2 - 623*n + 17751. Give k(-127).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -27275*w - 4060. Let a be h(-2). What is the highest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/47)\/m)\/m)\/(((m\/m**(2\/55))\/m)\/m) assuming m is positive.\nAnswer: m**(-2381\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*(h\/(h\/((h**16\/h)\/h))*h)\/h)*h*h**(5\/8)*(h*((h\/h**(-22))\/h)\/h)\/(h**(-19)\/h) assuming h is positive.\nAnswer: h**(237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/4 - 827*t**3 - 155429*t**2\/2 + 488643*t - 2976597\/4 = 0.\nAnswer: -3211, -103, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, -20, -1, -3, 0 in descending order.\nAnswer: 26, 0, -1, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/328 and -8\/7.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521 (base 11) in base 5?\nAnswer: -30314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:36 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -10864, 0, 2\/9 in ascending order.\nAnswer: -10864, -30, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -5. Let r be f + (18\/(-3))\/(-2). Solve m = -r*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**7\/21 + 43*r**6\/24 - 59*r**5\/6 + 10*r**4 + 41*r**2 - 1. Factor u(o).\nAnswer: 5*o*(o - 2)*(o + 24)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104248 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 16*y + 2. Calculate w(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316.8247 months in millennia?\nAnswer: 0.193068725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101 + 101010110000011011?\nAnswer: 101010110010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1781 + -1067. Let d be s\/187 - 6\/(-33). Solve -d + 2 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5882 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174629964 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 89*q - 94*q, -3*p - 8*q = 2*p - 73 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -20. What is the units digit of (35\/(-25))\/(2\/z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.7 + 24.1. Which is the closest to 1? (a) -2\/17 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-1 + 1) - (-102 + -122)\/28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1797167918 - 143063918 - 17*h**4 - 557419600*h + 2024580*h**2 + 18*h**4 - 2463*h**3.\nAnswer: (h - 820)**3*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 26 = 5*v. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -93. Let y be ((-10)\/d)\/(1\/(-90)). Let q = y - 24. Solve -4*b - q = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15919, 16017, 16115, 16213, 16311, 16409?\n\"Answer: 98*x + 15821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/10 + (-4)\/10. Let r = 1 - s. Let p = -3 + r. Is -1\/4 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 - 12) + (-3 - 165)\/(-6). Let p(k) be the first derivative of 4\/3*k**3 + 10*k**2 - f + 24*k. Suppose p(o) = 0. Calculate o.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6) - (-9)\/6. Determine d so that 0 - r*d**2 + 3\/2*d + 3\/2*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 31*h - 108. List the prime factors of l(-18).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*l**2*r*t**3 - 2*l**2*r*t + 2*l*r*t + 2*l*t**4 + 49*t**2 wrt t.\nAnswer: -756*l**2*r + 48*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {y: 3, b: 4, i: 5}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2448) - sqrt(2448)*-1))**2*6.\nAnswer: 58752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -m + 103, 4*p + 2 = 6. Let o = 50 + m. What are the prime factors of o?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let g(j) = -473732114*j**2. Give g(d(z)).\nAnswer: -473732114*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 602, 3, 1, -14, -4, -952 in decreasing order.\nAnswer: 602, 3, 1, -4, -14, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 + 22*t - 7. Determine o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4)\/(2\/(-60)*15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymymmmyyhm. What is prob of sequence ymh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**6\/10 + 93*l**5\/2 - 24637*l**4\/4 + 47430*l**3 - 140454*l**2 + l - 652. Factor p(x).\nAnswer: -3*(x - 153)**2*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44027593391\/78 - -564475067. Let j = -18741 + o. Calculate the common denominator of j and -33\/20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/4 + 5*u**3\/3 + 3*u**2\/2 + 4*u + 20. Let g(o) = o**3 + o**2 + o + 1. What is -3*g(h) + q(h)?\nAnswer: -2*h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 965942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27291599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 165585421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/53653 - -160963\/107306. Suppose -b*c**2 - 1\/2 - 1\/2*c**3 - 3\/2*c = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242 + 244. Solve -s + 3*n + 8 = 5*n, 0 = -4*s + k*n + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 468*t - 53*t - 7 + 117 - 8. Is i(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 830 - -1480. Suppose o + t = 6*o. What is the units digit of 2\/(-5) - o\/(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 30*j - 255, -10*w + 7*w = -j - 1 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-12))\/(45\/(-270)). Let n(m) = -33*m**3 - 2*m**2 - m. Let a(t) = -67*t**3 - 4*t**2 - 2*t. Let r(d) = -6*a(d) + 11*n(d). Calculate r(q).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/4 - (0 + -1). Let f(n) = n**2 + 5*n + 4. Let h be f(z). Suppose 0 + 1\/4*r**4 + h*r + 1\/4*r**2 - 1\/2*r**3 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*l + 27 - 61 = 0, 35 = 5*l. Let z be -25*(2\/1)\/2. Let w be (2 - -2 - 5)*q*z. Solve 3*u + w = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(153) - sqrt(153)*-2*-4 - 3*(-1 + sqrt(153)) - 5*((1 + sqrt(153) + sqrt(153))*4 - sqrt(153)))**2 + 5.\nAnswer: 27540*sqrt(17) + 1860689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3016.068kg?\nAnswer: 3016068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 10*x - 10*x + (-2*x**2 + x**2 + 3*x**2)*(4*x - x - 5*x) + 0*x**3 + x**3 - 3*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:14 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**5\/6 + 125*t**2\/2 + 2*t - 83. Let p(u) be the second derivative of r(u). Let b(s) = -8*s**2. Calculate b(p(j)).\nAnswer: -800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1418, -5212, -11538, -20396, -31786, -45708, -62162?\n\"Answer: -1266*c**2 + 4*c - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6839791 minutes?\nAnswer: 41.038746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -b - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+2950.85847\nAnswer: 2950.35847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7\/4)*f*f**11*f*(f**1*f*f)**22 assuming f is positive.\nAnswer: f**(309\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -91*a**2 + 148*a - 605. Calculate p(4).\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + v + 8. Let y be (-24)\/108 - (-32)\/(-18). Let h be b(y). Sort -5, 1\/4, h, -4.\nAnswer: -5, -4, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -844 times -0.17\nAnswer: 143.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15477 is divided by 5155?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 284\/(-20) + (2 - -1)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**3 + 11*u**2 - 14*u - 2. Let w be m(7). Round w to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k - 6. Let w be v(2). Let s(o) = -2*o + 6. Determine s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*g**6 - 1 - 295*g**2 + 2*g**5 - 159*g**6 + 331*g**2 wrt g?\nAnswer: -15960*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 12*s = -48. Let b be 81\/5 + s\/15. Suppose -14*x = -b*x. Solve -2*m + x = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + (116 - (195 + -90))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y - 35*y - 20 + 20 - 33*y + 113*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1423331.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19940 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = t - 6*t. Suppose -n - 330 + 307 = 0. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74917.47 centuries to years.\nAnswer: 7491747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16635*r - 1935. Is 105 a factor of b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*a + 38 + 46, 2*a + 2*d - 24542 = a - 24550 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 + 0.14. Let o = 166 - 1164\/7. Which is the nearest to o? (a) -3\/4 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 11*u**2 - 14*u - 20. Suppose 0 = -2*d + 10*d + 96. Let c be f(d). Suppose -2*s - 6 = -c*s, -2*i + 117 = 5*s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1. Let v be c(-1). Let w be (2\/3)\/(40\/(-24)). Is v less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670294743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 22, 4, 5.\nAnswer: -7, 1, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -415241*d*g**2 + 9*g**2 + 24*g + 17 wrt d?\nAnswer: -415241*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 46*j = -f - 17, 5*f + 40 = -5*j. Which is the closest to -0.1? (a) -25.8 (b) 0 (c) -2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 1. Let h be 4\/(-5)*-5 + -20. Let w(f) = -8*f**2 - 16*f + 16. What is h*n(k) + w(k)?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + m, m + 8 - 21 = -3*o. Let w(l) be the first derivative of 2\/3*l**o + 2*l**2 - 1 + 2*l. Suppose w(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 12, -3*q + 0*v = -2*v - 4. Suppose -5*y - 22 = -2*u + 30, -5*u + q*y + 113 = 0. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1914988 + -329709.\nAnswer: -2244697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 88*m**2 - 392*m + 183. Determine y(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4, -3, 0.3, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + 138*q**2 + 135*q - 8. Let k be l(-68). Solve 0 = k*i - 55*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 - 20*g + 210. Is o(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 58, 5, -9, -11?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhxhhhmx. What is prob of sequence xmmx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/8 - 3*s**3\/2 + 7*s**2. Suppose 0*h = -3*m - 2*h - 24, -3*h - 3 = -m. Calculate d(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36473 + 0.56473. Let q = -5.2 + -0.8. Which is the closest to -0.06? (a) q (b) 0 (c) r (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 199581174.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 9\/86893, -0.1, 1\/3?\nAnswer: 9\/86893","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(153))*-2 - sqrt(17) - (sqrt(2057) + -1) - -3*(-2*sqrt(68))\/sqrt(4)) + 1 + -5)**2.\nAnswer: 84*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o - 12. Let g be (o - -2) + 9 + 2. Let z = -3 - -31. What is the greatest common divisor of z and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*t + t. Suppose 4*y - t - 23 = 0. Let x(u) = 6*u**2 - u + 1. Calculate the smallest common multiple of y and x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 5:44 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5453 + 5462. Put 0.1, -1\/6, -0.5, 5, a in descending order.\nAnswer: a, 5, 0.1, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/((-3 + 4)\/(-12)). Which is the nearest to 0? (a) f (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a\/a**(-12)*a))\/a)\/(a*a**(-2\/21)\/a))**24\/((a\/(a*a*a**(-1)*a)*a*a*a**(1\/3))\/(a\/a**(-1\/2)*a\/(a\/a**4))) assuming a is positive.\nAnswer: a**(-12833\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1331\/4492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**5\/15 - s**4\/12 + 7*s**3\/9 + 13*s**2\/6 + 2*s - 43. Factor n(x).\nAnswer: -(x - 3)*(x + 1)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49*0.8\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*z + 200, -6*t + 8*t = -4*z + 166. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -3*sqrt(1452))\/(sqrt(4) + sqrt(4) + -2*(sqrt(4) - sqrt(100))) - (-5 + sqrt(147) + 2 + sqrt(147) - (5*(2 + sqrt(147)))**2).\nAnswer: 3447*sqrt(3)\/5 + 3778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 - (3 + -8 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 23.5, -0.3 in descending order.\nAnswer: 23.5, 0.4, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 10893\nAnswer: 55\/10893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -6. What is the highest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -210*i - 6. Let g(o) = 635*o + 20. What is 2*g(c) + 7*v(c)?\nAnswer: -200*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4 - 90*h**3 + 400*h**2 - 480*h = 0.\nAnswer: 0, 2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -62. What is the remainder when i is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794806541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 5, u: 2}. Give prob of sequence uu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/120 + f**5\/80 - f**4\/48 - f**3\/24 + 7*f. Factor g(j).\nAnswer: j*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 3. Let q(c) = -6*c - 4. Give 7*o(a) + 4*q(a).\nAnswer: -3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -13 + -3 + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553990 is divided by 246?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 87*p = 167 - 70. Put 2, 4592, p in increasing order.\nAnswer: p, 2, 4592","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-2)\/8). Is (1\/y)\/((-2)\/(-380)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413 (base 13) to base 8.\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**15*h*h\/(h**25*h)*(h\/h**0)**16)**15 assuming h is positive.\nAnswer: h**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k*k\/(k*k**(2\/73)*k)*k*k)\/(k\/(k\/(k\/(k\/(k*k\/(k*k\/(k*k**28\/k)*k)))*k))))**15)**(3\/25) assuming k is positive.\nAnswer: k**(-15129\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183648627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 103, -3.\nAnswer: -3, 46, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/14*(-4)\/130.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*l + 2, -4*l = -0*t + t. Calculate the lowest common multiple of t and 23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 1. Let x be 1*126\/(r\/(-4)). Suppose 0 = -3*a + f + 41, -12*a + 4*f = -7*a - 66. What is the highest common divisor of x and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 893*d**2 + 608*d - 4149. Determine z(297).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 27*z**2 + 14*z + 3. Let n(j) = -j**2 - 9*j - 11. Let d be n(-9). Let c(g) = -9*g**2 - 5*g - 1. Let s(w) = d*c(w) - 4*b(w). Determine s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 16 = 3*r, -2*h + 5 = 4*r + 17. Let c be (14\/r)\/7*38. Let v = 24 + c. Let b(n) = n. Calculate b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8429148 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31226 + -13759. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 14*p**2 + 14*p - 11. Let d be t(-8). What is the derivative of -5 + 13*h**3 - 3*h**3 - 4*h**3 + d*h**2 - 7*h**3 wrt h?\nAnswer: -3*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-26) - 350\/(-91). Let k(p) = 2*p + 1. Let w be k(2). Let u = w - 3. Solve 0 = 3*l - u*l + b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8*m)\/(m\/m**(-17)*m))\/((m\/m**8)\/m*m**(-9)) assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - 10. Let t be p(2). Suppose -6*d - 10 = -8*d. Let z(l) = 2*l**3 - 5*l**2. Let y(h) = 6*h**3 - 16*h**2. Determine d*y(r) + t*z(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 13) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 0. Suppose u = -5*o - 63. Let d = -8 - o. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 0*w - w = 0. Suppose 2\/7*v**2 - 1\/7*v + w - 1\/7*v**3 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1327930.56 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 968 by 152.\nAnswer: 121\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1725 and 713575?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26033188.\nAnswer: 2, 17, 311, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 6*l**3 + 2*l**3 + 0*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2748981\/5 - 549796. Let 1\/10*f**2 + 1\/10*f**3 + 0 - y*f = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1457 + 1551. List the prime factors of k.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/(-42) - 2)\/((-9)\/42). Let y = 0.4 + -1.4. Is d bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51216310 (base 7) in base 13?\nAnswer: b6826a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12122 (base 3) to base 11\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 15*f**2 - 10*f + 9. List the prime factors of v(14).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(2074\/610*50)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/5031*65\/(-10).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (5 + sqrt(17)*-1 + -2)**2*3).\nAnswer: -72*sqrt(17) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 3*a - 3*k + 246, 2*k + 67 = a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-110)\/(-6))*((-45)\/2 + (473 - 452)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -8565997?\nAnswer: -85659a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 21 = 4*h. Let x be ((-32)\/(-6) - 5) + 5\/h. Solve 0*i - x*i - 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -l + 12, 5*l - 4*p - 9 - 51 = 0. Let t = l + 3. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 11*w**2 + 2171*w - 11. What is r(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -178, -4, -3, 0 in decreasing order.\nAnswer: 5, 3, 0, -3, -4, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/65 and 49\/559.\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 399, 523, 673, 849, 1051?\n\"Answer: 13*o**2 + 85*o + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m**3 - 5*m**2 - 3. Suppose -3*r + 5*l = -2*r - 21, 13 = 3*r - 5*l. Is f(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0*q**4 + 0 + 11\/6*q**3 - 1\/40*q**5 + 0*q**2 + 42*q. Let k(d) be the second derivative of o(d). Calculate k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582234514?\nAnswer: 2, 291117257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 210759.3 hours?\nAnswer: 8781.6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + a**2 - 2*a**2 + (0*a + a + 3*a)*(7*a - 3*a - 3*a) in the form n + b*a + r*a**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 19*n - 15*n = -20, -3*h - 2*n + 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 56.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(-5)\/10 - 5\/(40\/(-1528)). Solve 20*u + z - 56 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(4\/23)*a**(6\/11) assuming a is positive.\nAnswer: a**(347\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -91191 smaller than -91191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 28 - 10 + n)*(2*n**3 + 4*n**3 - 4*n**3).\nAnswer: 2*n**4 + 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347832418?\nAnswer: 2, 43, 79, 51197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*f*q**2 - 90*f*q wrt q.\nAnswer: 200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 753714 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 + -77. Suppose -3*n - 10*n + i = 0. Suppose 4*x + y - 405 = -x, n*y = 4*x - 353. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 61, 183, 415, 793?\n\"Answer: 6*v**3 + v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*a**2 + 128*a**2 + 25 + 95*a**2 + 135*a**2 + 2*a - 112 wrt a.\nAnswer: 668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/4 - 27669*i**3\/2 - 774376441*i**2\/4 - 60891721680*i - 4843168518400 = 0.\nAnswer: -27509, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 3*z = -193, -391*y - 83 = -380*y + 2*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 7:19 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t + 113. Determine l(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + w**2 + 3*w**2)*(-3*w + 3*w + 2*w) - w - 50*w**3 + 25*w**3 + 24*w**3 - 15*w**2.\nAnswer: 3*w**3 - 15*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 - 3084*l**3 - 6156*l**2 - 3076*l = 0 for l.\nAnswer: -769, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*f, 2*f - 13 = -3*c + 2. Let i be 0 - -2 - (0 - -1). Let m be i - c - (-8 - -4). Solve -2*d - 1 + 11 = 4*x, 0 = -x - m*d + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 1 c when three letters picked without replacement from nlcncljlnncjn.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, n: 4, d: 1, q: 2, c: 3}. Give prob of picking 2 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5)*c*c**(-1))**(10\/7)*(c*c*c**(3\/8)\/c*c)\/c**(-2\/9)*(c\/c**1)**(4\/3) assuming c is positive.\nAnswer: c**(877\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*n + 59 = -4, -3*i - 3*n = -39. Let j = -10 + i. Suppose 2 + 2*y - 16*y**j + 32*y**3 - 7 + 5 = 0. What is y?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 4, -21, -84, -203, -396, -681?\n\"Answer: -3*w**3 + 8*w**2 - 8*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090312.5 rounded to the nearest 1000?\nAnswer: 4090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473042 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w**2 + 101524*w - 159810 wrt w?\nAnswer: -4*w + 101524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1641, 16561, 41425, 76233, 120985, 175681?\n\"Answer: 4972*r**2 + 4*r - 3335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 229?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/(-34)*(-30)\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 162*c**2 + 6. Let j be x(81). Solve -5*z + j = 2*o, -59*z + 61*z + 15 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 27 = 3*p. Let j = p - -10. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 25 = -15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61819 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16977\/(-7 + (-5 - 174\/(-14))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5.1. Let k = 0.2 - -4.8. What is the closest to h in k, -2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8*h + 1. Let p = -19 + 11. Let c be y(p). Do 2\/19 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a decade in years?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(832))*4 + sqrt(832) + (sqrt(832) - ((sqrt(832) + -1 - sqrt(832)) + -1)))*-3*-2)**2 + 3.\nAnswer: -6912*sqrt(13) + 1078419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3 (c) 2\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcvbvvvbbccfbcbc. What is prob of sequence fb?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2171 take away -557?\nAnswer: 557.2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + g)*(-2 - 3 + 4)*(0 + 2 + 0).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2237, 3, 1, -2, -2\/3 in descending order.\nAnswer: 3, 1, 0.02, -2\/3, -2, -2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 90*z + 7063. Give k(-64).\nAnswer: 1303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3))**(-2)*d*d**(-26)\/d*d*d*d**(-12\/11)*d)**35 assuming d is positive.\nAnswer: d**(-6965\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 42594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 50803140 and 460?\nAnswer: 50802680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1623.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3849 and -71\/9.\nAnswer: 11547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 402 = 3*f - 2*r, 0 = 4*r + 12. Calculate the least common multiple of f and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409 is divided by 110?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*a - 12*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 7*v + 9. Let h(f) = 3*f**2 - 10*f - 13. Let o(z) = 8*c(z) + 5*h(z). Factor o(t).\nAnswer: -(t - 7)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*i - 5*j + 134, -3*i + 4*j + 206 = 0. What is the tens digit of i\/4 - (-4)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) - (-186)\/(-5). Let g = -34 - a. Solve 8 = i + g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41377?\nAnswer: 7, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -7, -12, 3, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926598 a multiple of 347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*o - 23, k = -105*o + 102*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 11*f**5\/4 - 35*f**4\/12 + 17*f. Let c(x) be the first derivative of 3*x**4\/2 - 4*x**3\/3 - 480. Calculate 35*c(z) - 4*s(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 3*y**2 - 4*y + 3. Let m(q) = 2*q**3 + 3*q**2 + 3*q + 6. Let p be m(-2). What is v(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 14 + (26 - 29).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -12. Let n = 0.19 + -0.29. Let m = 0.9 - n. Put m, 0.3, j in ascending order.\nAnswer: 0.3, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -1\/84*n**8 + 0*n**6 + 0 + 0*n**7 - 2*n**2 + 0*n - 1\/30*n**5 + 0*n**4 + 0*n**3. What is the third derivative of l(j) wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 + -11000011110100?\nAnswer: -11000010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 332850980 a multiple of 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2622 + -49754.7378. Let f = -49715.022 - z. Let j = -41 + f. What is j rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504606?\nAnswer: 2, 3, 37, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Let k = -2 - d. Is 35*(0 - 1)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1083)\/1386 - 96\/84) + 10\/12. Which is the biggest value? (a) -0.1 (b) 9.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 13 - 21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 140 = 3*o - 4*k, 4*k = o + 28. Let x(d) = -10*d**3 + 3*d**3 + 8*d**3 - 25 + 28*d**2 - d. Calculate the smallest common multiple of 12 and x(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 times 7941749\nAnswer: -45267969.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, -2, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 558, 2201, 4948, 8805, 13778?\n\"Answer: t**3 + 546*t**2 - 2*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7178 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 32.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = j + 2, j + 45*r + 1 = 47*r. Let d(k) = k - 1. Let l(c) = 28*c + 5. Give j*l(h) + 4*d(h).\nAnswer: 32*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 4*n + n + 6*n. Let o(i) = 2*i**2. Give p(o(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 198*w**2 - 24*w + 165. Is v(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4168939?\nAnswer: 4168939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -139778, 1\/3, 0.3 in decreasing order.\nAnswer: 1\/3, 0.3, -139778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + c**5 - c**5 + (17*c**2 + 0*c**2 - c**2)*(-6*c**2 + 6*c**2 + 2*c**3) + 2*c**2 - 2*c**2 - 2*c**5.\nAnswer: 29*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1461, -11566, -38987, -92382, -180409, -311726?\n\"Answer: -1443*b**3 - 4*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1332677 or 1332685?\nAnswer: 1332677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -200112 (base 3) in base 7?\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:46 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -3 + (-7 - (10 - 15 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000472764167 to 5 decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*q + 10, 3*q - z = 4*q - 4. Let t be (-3 - 134)\/(q - 3). Find the common denominator of ((-18)\/(-24))\/(t\/58 + -2) and 25\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u + 1. Suppose -20*y = -21*y - 2. Calculate h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6214, -5764, -5288, -4774, -4210, -3584, -2884?\n\"Answer: 2*r**3 + r**2 + 433*r - 6650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3) + (0 - (2 + -1)). What is the third derivative of -162*j**c + 21*j**3 - 148*j**3 + 237*j**2 wrt j?\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113719?\nAnswer: 1113719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - t + 2. Let z(a) = 3*a**2 - a + 2. Suppose 4*w - 18 = i, 2*i - 122*w = -120*w. What is i*z(j) - 5*x(j)?\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -8b837?\nAnswer: 8b826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 600.2, -3\/5, 0.4, -0.2?\nAnswer: 600.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -25, -5*v = w + 2 + 23 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + -9)\/((-1)\/3). Suppose -z*f + 6 = -9*f. Is -2\/15 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63\/4 + -16. Let f = 3.9 + -4. What is the third biggest value in o, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 0) + (-12 - (-12 - -7)). Let d = -94 + 56. What is the closest to w in d, -3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841244 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870054.\nAnswer: 2, 3, 145009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = u - 5*s - 613, -u = 2*s - 877. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2. Let z(x) = 9*x**3 - 12*x**2 + 3*x. Let b(o) = 6*s(o) + z(o). Solve b(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h + 135. What is the remainder when q(-16) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 19324139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.37054 - -47.4. Let s = -0.0507 + p. Round s to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 - 105*x**2 - 74*x + 1162. Determine j(-25).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -40, -76, -132, -214?\n\"Answer: -c**3 - c**2 - 12*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n + 70*n - 148*n + 54 = 2*f, -6*f + f + 10*n - 145 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -21. Sort m, -22, -3.\nAnswer: -22, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2 (c) 0 (d) -92 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 divided by 5?\nAnswer: 299\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/12)\/(4\/6). Let b(z) = -z**3 - 3*z**2 + 3*z - 1. Let k be b(-4). Solve -k*q = 2*c + 3*c - 9, q = -c + u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29880 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-8)*(-140)\/21. Suppose 0 = -8*k + 113 - a. Let b = -8 + k. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = -16. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 148, 307, 500, 709, 916?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.041 kilometers to nanometers.\nAnswer: 294041000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024017973 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192 + (-230 - -103 - -40).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -79*l - 6. Let k(z) = -720*z + 10. Let y(r) = 80*r - 1. Let n(v) = -6*k(v) - 55*y(v). Let q(b) = -6*n(b) + 5*w(b). Is q(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 2:38 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {p: 1, m: 3, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h + 4. Let z be 0\/(0 + (1 - 0)). Let i be g(z). Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i + 2*i)*(1 - 1 - 1) + 3*i - 2*i - 2*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 2*c)*(3*c**2 - c**2 - c**2 + (-1 - c**2 + 1)*(1 + 2 - 8) - 3*c**2 + 5*c**2 - 4*c**2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuummuumuuuumu. What is prob of sequence muu?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, i: 5, a: 1}. Give prob of picking 1 i, 2 q, and 1 a.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14794908 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/h*h*h**(-2\/5)\/h)\/((h*h\/(h\/h**0*h*h))\/h)**(2\/21) assuming h is positive.\nAnswer: h**(83\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0070446 rounded to 4 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5\/12*(-9)\/((-225)\/10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65447182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 90\/50 - (16\/(-20))\/4. Differentiate -265*r**k - 47 + 123 + 77 + 70 with respect to r.\nAnswer: -530*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, -114 in increasing order.\nAnswer: -114, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -42. Suppose -5*y + 294 + 281 = o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 24 = -11*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + k**2 + 10*k - 17. Give f(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.831 - -0.7971. Let v = 0.0268 - a. Let y = 0.06 - v. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -8 + 5 - 6\/2. Put 4, i, 32, -4 in descending order.\nAnswer: 32, 4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -40 + 11*u - u - 7*u + 3*u. Let d be p(7). Solve 1 = -d*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*g + 134*g - 14. Let p be (1 - 1)\/(-1 - -2). Suppose p = g*o - 1 - 57. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1922, -3845, -5768?\nAnswer: -7691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12\/5, 0.7, -1\/3, 882, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*i**3 - 63*i**3 + 42*i**3 + (2*i - 2 + 2)*(-2*i**2 - i + i) + (2*i**2 + i - i)*(-4 + 2*i + 4) + 2*i**3 + 2*i**3 - 3*i**3.\nAnswer: -86*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1470)\/sqrt(10) + -4)**2 + (2*sqrt(84))\/(sqrt(700)*-1).\nAnswer: -562*sqrt(3)\/5 + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 86?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240 - -157. Let y = d + 88. Does -13 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {b: 1, d: 2, r: 1, y: 1, s: 1, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 0 - 5*3. Suppose -3*i = 3*v + 9 - 0, -5*v = -4*i - 39. Let p = i - n. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 37152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -239302*m**2*v**2 - 62*m + 13657481*v**2 wrt m.\nAnswer: -478604*m*v**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 616*j**3 - 612*j**2.\nAnswer: -4*j**2*(j - 153)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -d + 30. Let t be d\/(-2)*(-6 + 0). Suppose -5*j = 2*w - 383, -t*j - 2*w = 3*w - 245. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656981163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12.945*2341\nAnswer: -30304.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6)*-2 - -2. Suppose 0*z + 10 = -2*z, 5*n - 2*z = 15. Let q be (0 - n) + 3\/4. Which is the closest to o? (a) -4 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 6\/5*f**2 + 2\/3*f**3 + 2\/5*f + 22. Factor n(y).\nAnswer: 2*(y + 1)*(5*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 2*f - 17. What is the tens digit of d(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 157, 180, 215?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, -36, -130, -254, -408, -592, -806?\n\"Answer: -15*c**2 - 19*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*2 - 2*sqrt(77)*2)\/(-2*(sqrt(1584) - 2*sqrt(1584) - sqrt(1584))).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-24)*2*(-2)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.96.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + 48. Suppose 2*p - 18 = -4*y, 2 + 7 = p - 4*y. Calculate the greatest common factor of c and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*y - 179 + 4293 = 51*y for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46743 (base 8) in base 9?\nAnswer: 30314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11257 - 3506. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1749\/77 + 4\/14 - 2. Suppose -10*f + 10 = -5*f. Solve -2*k = -4*v - 3*k + l, 2*v = f*k + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -13\/5 (c) 0.07 (d) -160017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - w - 40740 - 20615 = 0, 3*w = -6. What are the prime factors of r?\nAnswer: 3, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:21 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0 + 6. Suppose w*t - 18 = -j, -5*t - 65 = -4*j - 10*t. Calculate the highest common factor of 135 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522*j**2 - 5*j + j - 184*j**2 + 4*j.\nAnswer: 338*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = 6*u - 629. Let k = u - 168. Let d(h) = h**2 + 26*h + 59. Calculate the remainder when d(k) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 7*x**2 - x - 6. Let c(p) = -p - 15. Let z be c(-8). Let t(u) = -u**3 + 6*u**2 - u - 5. Determine z*t(b) + 6*r(b).\nAnswer: b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77685 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**11)**(-39) assuming h is positive.\nAnswer: h**(429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*j**2 - 104*j**2 - 4*j**3 - 59*j**2 + 5*j**3 - 193*j**2 to the form r*j + d + x*j**3 + h*j**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 288303 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.9 + -16. What is the closest to m in 1, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*265\/(-2438).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3\/7 + 3477840*i**2\/7 + 3477846*i\/7.\nAnswer: -6*i*(i - 579641)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*t - 149. Calculate the common denominator of -71\/18 and (1 + (-68)\/t)\/(-3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -2*t**3 - 51*t**2 + 142*t - 6. What is k(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 347.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**10*h)*h\/(h\/(h*h*h**(4\/5)*h)))**(-4\/15)\/((h\/((((h**7\/h)\/h)\/h)\/h)*h\/(h**(5\/3)*h))\/((h*(h*h\/(h**0\/h)*h)\/h*h)\/h**(-1\/5))) assuming h is positive.\nAnswer: h**(263\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4892.7 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/7 - 57749*z\/7 + 461928\/7 = 0.\nAnswer: 8, 57741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2175 - 3301. Let k = 2557 + n. What are the prime factors of k?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2\/((-2)\/15). Let u(m) = -37*m**2 - 372*m + 16. Let r be u(-10). Calculate the least common multiple of (r\/x)\/(2\/(-5)) + 4 and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooll. Give prob of sequence ool.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13008*g - 38 - 13046*g - 13*g**3 + 26054*g.\nAnswer: -13*g**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100010101111100010001 (base 2) to base 13\nAnswer: -30b250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Let n(x) be the third derivative of -x**8\/10080 + x**5\/60 + x**2. Let a(g) be the third derivative of n(g). Calculate w(a(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/3 + 11569*n = 0 for n.\nAnswer: 0, 34707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:11 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i)\/(i*i**(-4)\/i*i)*i*i\/i**(-9)*i**(-10) assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-1\/27)*d\/d**5*d*d*(d*d*d*d\/(d\/(d*d**5\/d)))\/d assuming d is positive.\nAnswer: d**(943\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 505477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -17. What is the closest to j in -0.2, -0.4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*n - 110*n + 239*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 769. Let j(x) = -7*x. What is j(f(t))?\nAnswer: -21*t + 5383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)*i*i)\/(((i**(1\/4)\/i)\/i)\/i))\/((i\/i**(1\/3))\/i)**(-34) assuming i is positive.\nAnswer: i**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let p = c + 2.5. Sort p, -4\/5, 5\/4.\nAnswer: -4\/5, p, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -34, -50, -66, -82?\n\"Answer: -16*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*(0 + sqrt(567) + sqrt(567))*-1 - (3*(sqrt(77)*2)\/sqrt(11) + 0)))**2.\nAnswer: 252*sqrt(7) + 12357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/88 - 3040\/2090?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - u**2 + 0*u**3 + 258 + u**3 - 258 to b*u + r + h*u**4 + c*u**2 + w*u**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/((-980)\/(-700)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = -o, -3*n + 3*o + 927 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*n = -886, -5*q + 2*n = 6*n + 2213. Let w be 3\/(-4) + q\/(-28). What is the greatest common divisor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -141, -201?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160663191 is divided by 2312.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18125 = -2*g + 4345, -4*k + 2*g + 18370 = 0. Let u(n) = -n + 4590 - k. Let x(s) = 12*s + 5. Determine u(x(i)).\nAnswer: -12*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 0 - (-7 - 3). Suppose -q + l = o - 4, -2*q = 3*o - 38. Let k be 16\/o*(-25)\/(-2). Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 598. Let l = 417 + q. Solve 4 = -3*r - l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16047600 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323002230 - 33?\nAnswer: -323002323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -5*v**3\/6 - 3*v**2\/2 + v. Let r be -2 - (-2 - 0 - -3). Is j(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64321758727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -271*z + 39855. Let i be r(147). Let -i - 30*v - 27\/2*v**2 - 3\/2*v**3 = 0. What is v?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.4 - 16. Let v = 1.3999928 - n. Round v to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/1260 - a**6\/360 + a**5\/360 + a**4\/72 - 3*a**2. Factor q(s).\nAnswer: -s*(s - 1)*(s + 1)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/21 + 222\/(-126).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -221\/4. Let a = -4863847 - -4863852. Let m = 3.96 - -0.04. Put h, a, m, -2 in descending order.\nAnswer: a, m, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**1\/s))**(-6\/5)\/((s*s**(-1\/4))\/(s\/s**(-10))) assuming s is positive.\nAnswer: s**(181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (3 - 12\/3 - 23). Suppose 0 = -19*h + j*h - 12. Suppose h*b + 487 - 1411 = 0. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xii when three letters picked without replacement from eyyiexyiixeyxxeee.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*p**2 + 22*p**2 - 2 - 17*p**2 - 25*p**2 - 805*p to o*p + z*p**2 + r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Which is the nearest to -2\/3? (a) -2\/3 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3277553 centimeters?\nAnswer: 3277553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**7\/42 - 5*w**6\/6 + 23*w**5\/12 + 35*w**4\/4 + 33*w**2 + 14*w. Factor s(t).\nAnswer: -5*t*(t - 2)*(t + 1)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/31, 0.3, 1\/2, -1\/19, -2, 26 in descending order.\nAnswer: 26, 1\/2, 0.3, -1\/19, -3\/31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 276\/(-10) + 8\/(-20). Let w be ((-208)\/(-32))\/((-2)\/c). What is the highest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(2*sqrt(6)) - (sqrt(63)\/sqrt(3)*3 - sqrt(21)))\/(sqrt(252)*2 + sqrt(21)\/sqrt(3)*-3 + sqrt(7)))**2.\nAnswer: 27\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 229\/236 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 12*w**2 - 7*w - 14. Let d be (0 - -1)\/(2\/22). What is the units digit of j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = 5. Let n(q) = -q**3 + 4*q**2 - 4. Is n(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4119475 and 12710.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 4 - 0) + (45 - (68 + -43)) + -33?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -665 + 913. Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 3*z + 15. Let f(y) = y**2 - y + 8. Let t(g) = 3*d(g) - 5*f(g). What is the units digit of t(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128174 + -128174. Let c = 2946\/11 + -268. Let a = 0 - -0.5. What is the nearest to z in c, 4, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6138920.\nAnswer: 2, 5, 167, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 51942.6 to the nearest 100.\nAnswer: 51900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -353*v**2. Let g(x) be the third derivative of -43*x**2 + 0 + 0*x**4 + 0*x**3 - 1\/30*x**5 + 0*x. What is g(i(f))?\nAnswer: -249218*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 199*b**3 + 235 wrt b.\nAnswer: 597*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/9 and 29\/17493249?\nAnswer: 52479747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4284, 16694, 37376, 66330?\nAnswer: 103556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -31322, -0.13, 1\/5, 1\/113, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 59, 71, 99, 149, 227, 339, 491?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 3)*(0 + 1 - 2)*((-30*w - 21*w + 10*w)*(5 - 4 + 0) + 0 - 2*w + 0) in the form l*w + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -677282000 to the nearest one million.\nAnswer: -677000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -12, 16*d - 4*p + 10 = 18*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 44*p**2 + 5. Let n(x) = x**2 + 10*x + 13. Let c be (-305)\/35 - 2\/7. Let i be n(c). Is d(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/84 - (-6)\/126*-9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/49)*s**(-31)*s*s assuming s is positive.\nAnswer: s**(-1370\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(sqrt(300) - (sqrt(300) - (sqrt(300) - sqrt(300)*2)))\/(sqrt(24)\/(sqrt(4)*-2) - sqrt(6)).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 2*p + 27. Let y be g(0). Suppose 0 = 28*v - y*v - 5. Suppose 7*x = v*x + 4. Which is bigger: x or 18\/7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68079642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooofofoofo. What is prob of sequence ffof?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 23*n. Solve -4*l + 6*l - 10 = n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 28 = 4*r, 2*q - 4 = 3*r - 5. Let s = -7 + q. Let p(g) = g**3 + 3*g**2 - 3*g - 1. What is the units digit of p(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 13*a**2 + 70*a - 32. What is the smallest common multiple of s(17) and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.957 - 1. Let f = -0.04299938 - x. Round f to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33839405?\nAnswer: 5, 6767881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328327 is divided by 2544?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(350) + sqrt(350)*2)*6 + sqrt(350))\/(sqrt(90)\/(sqrt(36)\/sqrt(4) + sqrt(9))))\/(5*((sqrt(126)\/sqrt(2))\/sqrt(9) - sqrt(28)\/(sqrt(4)*-1))))**2*6.\nAnswer: 2166\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t**3)*(-589 - 808 - 1355).\nAnswer: -2752*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 57.71. What is x rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w**3 - 21365 - 7*w + 14*w**3 + 21349 + (-6*w + 4*w + 0*w)*(2 - 3*w**2 - 2) as b*w**3 + f*w + c + y*w**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-2)\/(-8)). Suppose a - 2*h - 4 = -3*h, -5*h - 15 = -c*a. Solve -a*m + 12 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4597 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcgz when four letters picked without replacement from glzpzci?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r - 2. Give s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11371.\nAnswer: 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 17*y + 10. Let k be u(10). Calculate the highest common factor of 120 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 22*x. Let v be y(1). Suppose -t + 11 = 3*w, -2*w = -4*w + 4*t - 2. Find the common denominator of w*(-2)\/((-32)\/v) and -48\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4310291 divided by -2.\nAnswer: -4310291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -42, -62, -82, -102?\n\"Answer: -20*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/316, -78\/19, -1\/2 in decreasing order.\nAnswer: -1\/316, -1\/2, -78\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67568 and 1693546?\nAnswer: 1395481904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92247.\nAnswer: 3, 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 3 = 7*p. Suppose -4 = 4*q + 2*c, 2*q - 3*c + 12 = -q. Let g be q + 2 - 2 - -2. Sort g, -2, p in descending order.\nAnswer: p, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, 3, 50\/79, 35, -5?\nAnswer: 50\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 622178 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmwmmm. What is prob of sequence mwm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 7. Let x = -0.41 - 3.59. What is the fourth smallest value in 0.3, x, o, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5445120 - 0?\nAnswer: -5445120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**3 + 4*a**2 - 3*a - 6. Let m(d) = 3*d**2 - 53*d + 50*d - 6*d**3 - 3 - 2. Determine -6*m(u) + 5*z(u).\nAnswer: u**3 + 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23 + (6\/10 - 0 - (-2139)\/(-465)). Sort v, -2, 1, -5, -18 in decreasing order.\nAnswer: v, 1, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-6)\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1464134222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/4)*(l**(19\/4)\/l)\/l assuming l is positive.\nAnswer: l**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 7:40 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*a**4 + 0*a + 0 + 2\/3*a**3 + 1\/3*a**2 = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 391505497\/7401 + -52899. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27964*h = 27961*h + l - 15, 3*h = 2*l - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 h when three letters picked without replacement from {u: 6, h: 13}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {t: 12, y: 3, z: 3}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39795)\/1895*(-9)\/(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -36?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/3, -8\/9, -0.5, -41, -1\/5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -916, -917, -918, -919, -920?\n\"Answer: -k - 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + 6\/(-2) + 1. Let q = x + -6. Suppose -4 - q = -3*n, 2*n + 20 = -2*v. Is v at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 2*q**2 + 4*q - 1. Let n be w(2). Differentiate 30 - 12 - 3*h - 11 - n wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*t**4 - 48*t**3 + 2*t**2 - 18182*t.\nAnswer: 1788*t**2 - 288*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -236, 3654 in descending order.\nAnswer: 3654, 1, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -732 by -61.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 + 75\/27. Find the first derivative of 3 + 5*v**3 - p*v**3 - 2 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + r + 3 = 0, -21*q - 2*r - 226 = 14*q - 5*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweweweweeewe. What is prob of sequence eww?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 11. Suppose 0 = 3*w - i. Suppose -6*l + 132 = -w*l. What is the greatest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let k(n) = -n - 12. Let j(x) = -2*a(x) - k(x). What are the prime factors of j(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 81\/(-135) - 833\/(-5). Let n = -111 + a. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -113.15 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-50)*(-5)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20254471 + 28954471. Round u to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46118 greater than or equal to 45989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a**3 + 8*a**3 + 0*a**3 + 2*a + 0 + 22.\nAnswer: 112*a**3 + 2*a + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 19. Suppose 0 = a*j - 1057 - 71. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 11 = -14. Suppose 5*g = -5*w + a, 2*g - 4*w = 4*g. Let t be ((-33)\/g)\/((-5)\/10). What is the greatest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q*q\/q**(7\/5)*q)\/(q\/q**(2\/19)) assuming q is positive.\nAnswer: q**(352\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7440\/22 + (-20)\/110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14002 + 4412?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1248\/4368 - ((-496)\/(-154))\/(-4)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.168 + -0.051. Let j = 0.057 - h. Put 0.3, 1, j, 3 in decreasing order.\nAnswer: 3, 1, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.44614 centuries to decades.\nAnswer: 384.4614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/10)*i*i*i**(-10\/9)*(i*i*i*i*i\/i**(2\/49)*i)\/i*i**(2\/27))**(-9) assuming i is positive.\nAnswer: i**(-79673\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433.6182l to millilitres.\nAnswer: 433618.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3034951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 4*g + 3*l, -5*g + 12357*l + 108 = 12384*l for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 404*v + 2. Let z(q) = -300401*q**2. Calculate g(z(m)).\nAnswer: -121362004*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2010 = -204*g - 3452 - 3591 - 1555 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*y - 30. Suppose 0 = -5*d - 2*q + 7, -4*d + 2 - 1 = -y*q. Suppose -2 = 5*h - 7. What is the greatest common divisor of d and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:09 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axx when three letters picked without replacement from {b: 1, a: 3, c: 5, d: 4, x: 5, f: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca2407 (base 15) to base 13.\nAnswer: 1cc07cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2102*u - 2105*u + 4208*u - 4 = 2*c, -7*u = 5*c - 2*u - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 1, e: 3, m: 1, y: 3}. What is prob of sequence ee?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/29077 and 103\/722?\nAnswer: 20993594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/5*6\/(-18). Let s be 2\/(-3)*(-9)\/2. Which is the nearest to s? (a) 0.3 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y + 8*y - 310 + 310 in the form j + x*y and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122223 - -3122010?\nAnswer: 3310233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.288805 and 75.\nAnswer: 21.660375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3 - 1) + 31. Let t = -43 + 48. Suppose 0 = -g - 4*l + q - t, 118 = 5*g + 3*l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u + 19*u - 56*u)*(0 + 3*u**2 + 0) + (1 - 1 - u)*(-2*u**2 - 2*u**2 + u**2).\nAnswer: -81*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/12)\/(5\/((-45)\/3)). Which is greater: 98 or r?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.646 - -7.846. Which is the nearest to -2\/3? (a) -2175 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3120411.\nAnswer: -2\/3120411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1508773.71 to the nearest 100.\nAnswer: 1508800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-20))\/((-3022)\/(-7555))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1395018 divided by -5\nAnswer: -1395018\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-123)\/72 + (-70)\/(-40). Let c(f) be the third derivative of -1\/60*f**5 + 0*f + a*f**4 + 0 + 1\/120*f**6 - 31*f**2 - 1\/2*f**3. Calculate c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79, -78, -77, -76?\n\"Answer: r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/4))**(31\/3)\/((l*l**0)\/l)**31 assuming l is positive.\nAnswer: l**(217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 2*g**2 + 2*g. Let b be h(0). Suppose -3*u + 5*t - 6 = -b*t, t + 3 = 2*u. Suppose 4*j + 3*q = 2*q + 235, -u*q + 9 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1427 - -1425. Let h(s) = -4*s**2 + s - 1. Let g(d) = -d**2 - d. Calculate a*g(t) + h(t).\nAnswer: -2*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4505323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 15. Let p(y) = y**3 + 4*y**2 - 4*y - 4. Let r be p(z). Let w = -22 - r. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 divided by -10151?\nAnswer: 139\/10151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 7*v + 30, 6*f + 97 = -f - v + 107 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/12 + 7*s**3 + 108*s**2 + 2*s. Let n be t(19). Solve 0 = -3*z + 15, 4*w - 6*z + n = -2*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -30, 89, 5, 1, -3.\nAnswer: -30, -3, 1, 3, 5, 13, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 12}. What is prob of picking 1 k and 1 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138 - 81 - 90 - -43.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1731 + -1733. Which is smaller: n or -2\/577?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7883\/2 + -1 + 285\/570.\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153288 and 0.6.\nAnswer: 91972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -83. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-1)\/3)*1. Let q = z + 5. What is the third derivative of -p**2 + p**2 + q*p**2 + 0*p**2 + 8*p**4 wrt p?\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -33 + 5*v**2 + 33 - 3*v**2. Let w(p) be the first derivative of -p**2 - 1. What is w(d(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 17*y - 12. Give f(15).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 69. Suppose 6*z = 3*z + w. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -22. Suppose y = w + 2. Let f be (2\/y - (-196)\/(-24))\/(-2). Which is smaller: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:54 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1895*c - 20 = -1891*c, 0 = -5*q + c - 110 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)\/r*r*r**(-21)*r)\/(r\/r**(-5\/3)*r**(-7\/4)) assuming r is positive.\nAnswer: r**(-383\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 2*9 - (-36 + 35). Calculate the remainder when 70\/4*(1224\/m)\/(-12) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 3*u**7\/980 - u**6\/180 - u**5\/210 + 2*u**3 + 11*u**2. Let z(p) be the first derivative of t(p). Factor z(q).\nAnswer: 2*q*(q - 1)*(9*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**8\/2016 + s**7\/630 - s**5\/180 - s**4\/144 - 2*s**2. What is b in f(b) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-2) + 1)*1. Let j(v) = 50*v - 1 + 48*v - 94*v. Give j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.9 + -5. Let x = -1.1 - v. Which is the third biggest value? (a) 2 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/13204140 and 109\/8370.\nAnswer: 118837260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 17*u - 19*u, 18 = 4*m - 2*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -90 and -88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a meter in centimeters?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/12 + r**3 - 7*r**2\/2 + 16*r - 3. Calculate z(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 77*g**6\/6 - g**4\/4 - 2*g**3\/3 - 87*g**2\/2 - 524. Find the third derivative of u(m) wrt m.\nAnswer: 4620*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 53 = 2*a, 5*a = -74*o + 73*o + 18 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-1)\/3 - -1). Suppose -4*u = -2*z - 0*z, z = -q*u + 10. Let r = 0 - -2. What is the least common multiple of z and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -62. Suppose y - 2*y + 16 = q*d, -4*d - 5*y + 36 = 0. Determine k so that -20*k - 25*k**4 + 115*k**3 + 5*k**2 + d*k**5 - 39*k**5 - 60*k + 20 = 0.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osolnoi. Give prob of sequence on.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -74. Suppose 2*a + 34 = p*s, 0 = -0*a - 4*a - 8. Let u be 4\/(-6) - (1700\/s)\/(-5). What is the greatest common factor of 33 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8748539.\nAnswer: 37, 41, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12662983\/1575 - 72331\/9. Let k = f + -66\/25. Factor 8\/7*m - k*m**2 - 4\/7.\nAnswer: -4*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 210.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40430 and 3250?\nAnswer: 1010750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c089b (base 16) in base 9?\nAnswer: 1431721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10) + (-14)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/12 equal to 97\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**4\/4 - u**3 - 3*u**2\/2 - 4*u - 9. Calculate m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 2\/(10\/(-8)*(-8)\/370)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10\/7)*f**(-3))\/(f**21\/((f*(f*f**(-5\/21)*f*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 241\/4. Sort 0.2, y, 5.\nAnswer: 0.2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-2) - (-2 + 1). Is 12 a factor of (8\/r)\/(1\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**6\/42 - 3*k**5\/140 + k**4\/42 + 6*k. Solve h(v) = 0 for v.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:54 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2499*h*s**3 + 25*h*s**2 - 36*h - 23*s**3 - s**2 + s + 4784 wrt h.\nAnswer: 2499*s**3 + 25*s**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-306)\/(-42) + (-2)\/7. Let o = -8 + h. Let n be 2 + -1 - 88\/(-22). Put 2, o, n in descending order.\nAnswer: n, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -768878.2 rounded to the nearest 10000?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7 - 0.4304.\nAnswer: -3.1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - u - 42 = 5*c + 121, 12 = -4*u for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.89 - 10.84. What is the closest to -1 in -2, 0.5, a, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (188 + 3*d + 189 - 379)*(4*d - 3*d + 0*d) in the form t + s*d**2 + f*d and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 - 10*i**4 - 84*i**3 + 360*i**2 + 432*i.\nAnswer: 2*i*(i - 6)**2*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 11, e: 1, a: 1, w: 1}. Give prob of picking 2 i.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b + 5. Let a(w) = -3*w + 2. Suppose k + 3 = -m, 5*k + m = -21 + 2. Determine k*r(s) + 9*a(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197801 - 4*r**2 - 3*r**2 - 197801 + 7*r**2 + 26*r**3.\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 1:10 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24305 + 2234?\nAnswer: -22031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 700 = 4*v. Let r = v + 3853\/22. Let x = r + 5\/44. What is the closest to -2\/7 in -4, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - 0) + 2)*1. Suppose 0*m + 3*m - 78 = 0. Let r be m\/39*(-9)\/(-8). Which is the smallest value? (a) -0.04 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.3 + 11. Let m = 248 - 733\/3. Let i = m + -4. Which is the nearest to i? (a) 2 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n + 50*n = -2355. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10141 = -22*m - 527. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -521, -800, -1079, -1358, -1637, -1916?\n\"Answer: -279*t - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5520 and 57270?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + -4.01. Let m = -0.24 - -16.24. Let n = -16.2 + m. What is the second smallest value in 4, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 1. Let c(o) = -o. Let f(p) = -p**2 - 3*p + 5. Let t be f(-4). Let v be c(t). Let g be s(v). Let b(i) = -2*i - 1. Determine b(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = k - 4926 + 4927, 2*n - 3*k + 30 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:50 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, 44\/75, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 + -105 - (1 + 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4482135*k*r - 10169427*k wrt r?\nAnswer: 4482135*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**3 + 78*n**2 - 168*n - 18. What is q(3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 3 + (-5 - -2). Solve 5*d + j = 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + a**3 + a**3 + (-a**2 + 0 + 0)*(2*a + a - a) + a**2 - 1 - 2*a**3 + 1.\nAnswer: -5*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 48. Let v(w) = 192*w**2 + 5335*w - 2. Give g(v(z)).\nAnswer: 384*z**2 + 10670*z - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1018891427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*g**5 - 17*g**5 - 732*g + 5*g**5 + 4 + 734*g wrt g.\nAnswer: -1020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 6*t. Let r be 98\/(-1519) - 91\/31. Let g(n) = n**2 + 5*n. Calculate r*d(h) + 4*g(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 64*c**2 - 492*c + 792.\nAnswer: 4*(c - 3)**2*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let b(m) be the second derivative of -5*m**3\/3 - 3*m. Suppose -5*f + 2 = -13. Let o be (-2)\/f - 14\/6. What is o*b(p) + 16*u(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -759268542 by -253089514.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-12) - ((-30)\/(-1 - -4) + (-20416)\/(-1452)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67, -328, -773, -1402, -2215, -3212, -4393?\n\"Answer: -92*f**2 + 15*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -7. Let j be (-3)\/(-1) + (0 - x). Which is the third smallest value? (a) -2\/3 (b) 2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 9*h - 6032. Suppose -422 = -14*i + h. What is the highest common factor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 5. Let l be r(0). Suppose t = -y, 3*y - l - 3 = 5*t. Let d = -2 + 4. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/7)*y))**(1\/5)\/(y**(1\/12)\/y**(-4\/7)))\/((y\/y**(-1)*y*y**(1\/4))\/(y*y**1\/y)**(-1\/37)) assuming y is positive.\nAnswer: y**(-15053\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13\/2)\/(p**0\/p))\/(p**(-2\/31))**(-2\/33) assuming p is positive.\nAnswer: p**(-11261\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 22 + 63. List the prime factors of y.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 4 = 0. Suppose 0*l - 20 = s*l. Let p = 15 + l. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063058?\nAnswer: 2, 199, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - u - 9, 0 = x + 4*u + 25 - 40. Let v(g) be the second derivative of 1\/6*g**x + 0 - 17*g + 7\/12*g**4 + 0*g**2. Give v(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1248 - 1246. Factor 3\/5*l**u + 0*l**4 + 0 - 9\/5*l**3 + 12\/5*l**5 + 0*l.\nAnswer: 3*l**2*(l + 1)*(2*l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - 3) + -10515)*(-6 - -7). Let w = 357631\/34 + v. Calculate the common denominator of -1 + (205\/(-50) - 3) and w.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 24. Let x be r(-5). Put -2, -1, x in ascending order.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.49 and 1.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.624 - 5.824. Let t = 59\/90 - 1\/10. Which is the nearest to -0.1? (a) i (b) t (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.72 - 9.\nAnswer: -78.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 4*sqrt(1300) + sqrt(325)*-4 + sqrt(13))*5.\nAnswer: 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 38*k + 7. Let n = -419 - -432. What is the lowest common multiple of d(n) and 124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/625 and -91\/250.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123746274?\nAnswer: 2, 3, 563, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.010695.\nAnswer: -0.04278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -21*r**2 - 8*r - 2. Let i be a(-1). Let f be 6*1\/i + (-57)\/(-5). What is the highest common divisor of f and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 5*l + 64 = 0. Let g(f) be the third derivative of -7\/6*f**l + 2*f**3 + 1\/3*f**5 - 7*f**2 + 0 - 1\/30*f**6 + 0*f. Factor g(x).\nAnswer: -4*(x - 3)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4422?\nAnswer: 4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 + 0)*7\/(-21). Which is the closest to -2\/7? (a) 3 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693508 - 314225 = 51*h - 571357. What are the prime factors of h?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20299313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a + 1. Let n(h) = 2*h**2. Give n(r(u)).\nAnswer: 392*u**2 + 56*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 5*y - 5*y**2)*(5*y - 4*y + 3*y)*(2 + 2 - 1) to the form q*y**3 + r + f*y + n*y**2 and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 30997\nAnswer: -1\/30997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1202 and 5152974?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2 + c**3 - 8 + 2*c + 6*c + 14. Suppose 3*f - 69 + 195 = 0. Let z = 50 + f. Calculate t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609632313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2356*f + 2362*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 1\/8 (b) -7 (c) 894.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -408.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412244371?\nAnswer: 1412244371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2 + g**3 + g**3 + 9*g**2 - 9*g - g**3. Let b be -7 + (-7)\/(-10 + 3)*-2. What are the prime factors of p(b)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**7\/630 - y**6\/60 - 11*y**4\/4 + 2*y - 1. Let o(s) be the third derivative of p(s). Factor o(z).\nAnswer: 4*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2305 - 2347 - (-74 - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**3 + 22*d**3 + 15*d**3 - 62*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99778 is divided by 24943.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137431079 divided by 53747.\nAnswer: -2557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d - 3 + 3)*(274*d - 417*d - 708*d) in the form v*d + q + r*d**2 and give r.\nAnswer: 2553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1200313 - 0?\nAnswer: -1200313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7466 + 0.2534. Which is the third smallest value? (a) t (b) -111 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 - k + 2. Give a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-766788)\/108944 - (-14)\/2 and -81\/2.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*r - 6, 2*b - 3*r = 25. Let z = -7 + 10. What is i in 4*i**3 + 6*i**4 + 3*i - 7*i + 0*i**z - b*i**2 + 2 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 312 = 10*q. Is 37 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59373136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + 11030?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 1175409*k + 12929862.\nAnswer: -3*(k - 391814)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -585 (base 11) to base 15\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023238058 to 4 decimal places.\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad9 - -1ca?\nAnswer: -90d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:56 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4698.8 - 4699. Let l = 409 - 881\/2. Which is the second smallest value? (a) 0 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/1 - -24 - -3. Let t = o - 17. What is the greatest common factor of 91 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72455 + -3878. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125\/12 - 41\/4. What is the second smallest value in 0, j, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.62 and -499.\nAnswer: -2804.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuuiiuuiuiuuuiuiui. Give prob of sequence iuiu.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**3 - 2*y**2 - 546250*y - 100096767.\nAnswer: -6*y**2 - 4*y - 546250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -20*k - 35. Suppose -w - 5*y + 56 = -4*w, -2*w - 2*y - 48 = 0. Let a be t(w). Let c = 619 - a. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 6*w**5\/5 - 344*w**4\/5 + 3554*w**3\/5 - 10184*w**2\/5 + 4488*w\/5 + 1728 = 0.\nAnswer: -2\/3, 2, 3, 8, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 859497*l**3*u - 27*l**3 - 1786687*l**2*u + 5*l**2 wrt l?\nAnswer: 5156982*u - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3440392\/87 - -39544. Let l = j - -2\/29. Which is the closest to 0.1? (a) -0.04 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 + 152*k - 14*k**2 - 41*k - 47*k - 64*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 237, -0.2, -0.4, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -70c9?\nAnswer: -70c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 12. Suppose 5*j + 4 = -3*l, -i*j - 12 - 8 = 0. Let p = l - -1. What is the remainder when 15 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-64)\/(7 - 3) + 1. Let u be 3\/2 + w\/(-30). Sort -1, u, 3 in increasing order.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6152 + -5898. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16154372 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9915 = -233*x - 732 - 4989 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -384*b*o**2 + 23*b*o - 448758*o**2 + 2*o wrt b?\nAnswer: -384*o**2 + 23*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37033, -148091, -333187, -592321, -925493, -1332703, -1813951?\n\"Answer: -37019*u**2 - u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4\/5 - 176079*y**3\/5 + 3451242024*y**2\/5 - 4542936585792*y + 2435123836706304\/5 = 0.\nAnswer: 109, 19528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*c - 93*c + 746*c.\nAnswer: 1344*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 = -11. Let r(g) = 3*g**2 + 25*g + 14. Let i be r(-9). Suppose 3*c = h*c - i. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1)\/(4\/(208\/4)). Let w be (-6)\/2 - (s - 16). Suppose w = -6*m - 0*m + 6. What is the remainder when 1 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -239*s - 1185. Let c be g(-5). Solve 3*z = -2*o - c, -10 = 10*z - 6*z + o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 56 = -10. Suppose 15*p + 1506 = -699. Let x = -133 - p. Calculate the smallest common multiple of x and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10*i**2 - 30*i + 48. Let z(s) = -9*s**2 + 33*s - 48. Let r(u) = 6*c(u) + 7*z(u). Let r(l) = 0. Calculate l.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10885 (base 13) to base 9.\nAnswer: -45157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192111202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79259070013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25055647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 15*i + 28. What is y(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 388*z + 94*z - 448*z - 3 + 1.\nAnswer: -742*z - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59774 divided by 26.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6054762l to millilitres.\nAnswer: 605.4762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Let g be a(0). Let p be (-7 - -2) + 2 - -1. Let x be g - p - 10\/9. Is 1 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-518)\/(-21) + 2\/(-3). Let d = r - -42. Let j = d + -20. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-21)*(-140)\/(-72). Let t = 785341\/36 - 21817. Let n = i + t. Which is greater: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/7 - 300*g**2\/7 - 10638*g\/7 - 10340\/7 = 0?\nAnswer: -94, -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.184 - -8.383. What is r rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*a**2 + a + 72724*a**2 - a.\nAnswer: 73038*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2691, -5207, -7749, -10323, -12935, -15591, -18297, -21059?\nAnswer: -23883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3432.98 - 3433. Which is the closest to -1? (a) 2 (b) u (c) 0.2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 + 2*v**2)*(4 - 2*v**2 + 3 - 6) + 317307 + 3414*v**4 - 317307.\nAnswer: 3408*v**4 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3032 - -5041. Does 47 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/(-25))\/(0 - 1) + (-828)\/1380?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 57. Let r(y) be the third derivative of -9*y**2 + 0*y + 1\/24*y**4 + 0 - 5\/6*y**3. Give r(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3673399627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252261699*b**2 + 16*b - 1419769 wrt b?\nAnswer: 504523398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b6 + 552?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 55 - 55. Let z(s) = 1. Let y(w) = w + 2. Let j(l) = -3*y(l) + 6*z(l). Determine j(o(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0\/(-2)) + -3. Let q(l) = l**3 - 3*l**2 + 4 - 28*l + l**2 + 29*l - 2*l**3. Does 4 divide q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 89 + 7*s + 256 + 374. Is a(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -39. Let d = 145 + -138. What is the remainder when x is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 1)*6\/18. Solve -i + 11 = -7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3869062 - 0.2.\nAnswer: -3869062.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - 3) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/30 + u**4\/8 - u**3\/2 - 14*u**2. Let t = 3 + -1. Suppose 0 = t*x - 4*x - 6. Determine l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.16, 1, -5, -39, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d + 48. Let v be d\/(-16)*58\/3. Suppose 2*p = p + v. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9126?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:16 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**5 + 14*n**2 + n - 1037?\nAnswer: 140*n**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*w + 499 - 138, -15 = -5*w. Let a(h) = -94*h + 870. Calculate the remainder when u is divided by a(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*a = 3*d, 4*d = 3*a - 2. Let q be (-39)\/d*(-506)\/(-33). What is the greatest common divisor of q and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 2*t + 1793 = -6*s, -3*t + 369 = s. Calculate the lowest common multiple of 2 and s.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - l**2 + 7*l + 18. Give k(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -715.\nAnswer: -7\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.9, -1, -18400?\nAnswer: -18400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 2\/9, -3, -357?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1830996, 1830936, 1830874, 1830810, 1830744, 1830676, 1830606?\n\"Answer: -o**2 - 57*o + 1831054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = -0. Suppose x + 3 = -k. What are the prime factors of (-1)\/(2 + x\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5.5. Let b(r) = -7*r + 38. Let k be b(5). Suppose -2*s = i - 6, -3*i = -8*s + k*s + 37. What is the biggest value in 9, y, i, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11733 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 2*s + 4)*((-s + 1 - 1)*(3*s - 3*s - s) + 5*s**2 - 4*s**2 - 3*s**2).\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from gpcc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:16 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(128) + (sqrt(8)*-2)\/sqrt(4))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -58365\/352 > -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -155\/106042 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + o**2 + 1 + (-29*o - 41 + 41)*(2 + 1 - 4)*(3 - 5 + 0)*(3*o - 10*o + 21*o) to the form g*o**2 + k*o + p and give g.\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011000222201 (base 3) in base 4?\nAnswer: 2111021032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5791 + -5791.009138. Let p = s - -0.009. Round p to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:37 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 160668699245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -20, -17*z = -h - 19*z + 11. Determine x, given that 20 + 40*x + 37*x**2 + 3*x**h + 10*x + 22*x = 0.\nAnswer: -10, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545482 (base 11) in base 6?\nAnswer: 132350145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 + -55. Suppose 9*o - 18 = 4*o - f, -5*o + f = -12. Suppose 36 = o*j - h - 4*h, 4*j + h - 48 = 0. Calculate the remainder when d is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2299) - (0 + sqrt(2299) + -1 + sqrt(2299)))*-2 + 2)**2.\nAnswer: 88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -58, -69, -82, -97, -114?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 128*h**2 + 93*h**2 + 92*h**2 - 311*h**2 + 1115 to the form x*h + g*h**2 + z*h**3 + l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13361076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1024321 or 1024328?\nAnswer: 1024328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*x = 28, -p = 2*x + 5 - 57. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 546, 2422, 5616, 10128, 15958, 23106?\n\"Answer: 659*g**2 - 101*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 0. Let f(i) = -i - 9. Determine f(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*o + 7*o - 25, 5*b = o + 80. Let y = 17 - b. Let f(s) = -5*s + 110. Let q be f(23). What is the closest to q in -4, y, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(20\/(-24))*(-14)\/(1092\/15).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*i + 5. Let z = 1.3 - 0.3. Which is the nearest to 2\/5? (a) i (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 10) + 1 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202001 + -2?\nAnswer: -202003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most as big as -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 105 - 33 - (-11 + 3).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(-63)\/28*(-2 + -104)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrz when three letters picked without replacement from ssszysrbyrbryr?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(128) + 0 + sqrt(128) - sqrt(128)) + ((sqrt(128) - (0 + sqrt(128) + 3)) + sqrt(128) - sqrt(128)))**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 10*p**2 - p + 2. Let u(f) = -59*f**3 + 2*f**2 + f. Let m be u(-1). Let z be (-1)\/(-3*(-2)\/m). List the prime factors of h(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 6. What is j(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 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: Suppose -301024 = -5*x - 4441039. Let z be 2\/8 - x\/(-12). What is z rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by -3.\nAnswer: -190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 4:37 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -322 - 1223. Suppose 8*q = 3*q + y. Suppose j - 5*m - 128 - q = 0, -2*j + 434 = -3*m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -9, 0, 12, 7, -1 in ascending order.\nAnswer: -9, -7, -5, -1, 0, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -308590 - 3389*w + 308590 to m*w + o and give m.\nAnswer: -3389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*y - 4, 4*d = d + 5*y - 5. Let b be 7 - (1 + (-1 - d)). Let w = b + 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -1) + 22*(-1 - -4). What is the greatest common factor of y and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6)*-4)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069185 is divided by 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215\/(-243)*14\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107012 and 388?\nAnswer: 10380164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v - 4*v**2 + 0 + 0*v**3 + 1\/12*v**4. Let b(z) = -10*z. Let x(f) = 2*f. Let q(l) = -3*b(l) - 14*x(l). What is y(q(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 9*a + 31. Let l be p(-13). Let o be (-4 + (-102)\/l)*-7. Calculate the remainder when 17 is divided by o\/(-4 - 10\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*t**3 + 2046712*t**2 + 2046636*t.\nAnswer: 4*t*(t + 1)*(19*t + 511659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2562545, -5125065, -7687585, -10250105?\n\"Answer: -2562520*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1416 - 1460) + -28 + 0 + -37.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**9\/1008 - n**5\/30 + 2*n**3\/3 - 2. Let b(v) be the third derivative of z(v). What is the second derivative of b(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8877247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2940 by 5.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*a + 0 - 1\/2*a**2 - 1\/2*a**3 + 1\/2*a**4.\nAnswer: a*(a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 29*d = 19*q + 132, d + 0*d - 4*q - 30 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-12)\/401) - (-11)\/(-44). Calculate the highest common factor of d and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2376 divided by 6\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 - -56. Let u = 6 - 16. Let y be p\/u - (4 - 2). What is the nearest to y in 1\/4, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10402 divided by -44493\nAnswer: 10402\/44493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023 take away -5?\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2*5*7\/70\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-24)*-12 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 51*i**2 + 175*i + 756. Let h be k(-54). What is the greatest common divisor of h and 7101?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241501?\nAnswer: 13, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927 and 196627.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 264 = -2*w. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12034415 (base 7) to base 15.\nAnswer: 1614ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193412 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15)\/((14\/42)\/(3\/2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3\/3 - 8*j**2 + 10*j. Let u be y(-8). Suppose u = -i - 34 + 89. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let y(f) = -4*f**2 - 2*f - 3. Let v(n) = -3*t(n) + y(n). Determine v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 18. Let v(q) = -2*q**2 - 38*q + 40. Let f be v(-20). Give d(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 978048 and 34123008.\nAnswer: 307107072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**4 + 60*t**3 - 7*t**2 + 6 wrt t?\nAnswer: 72*t + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5530792?\nAnswer: -1\/5530792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277 - 50. Let k = -231 + n. Let q(s) = -2*s**2 - 6*s. Give q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-85*a**2 + 2102*a - 2102*a) + 3 + 0 + 2*a - 66*a**2 + 73*a**2 to the form v*a**2 + z*a + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/9)\/25)\/((-250)\/(-16875))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3335 - -4845. What are the prime factors of d?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249 or -0.1376?\nAnswer: -0.1376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4262 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 + 105 = -3*y. Suppose -y = -3*s - 3. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 6, a: 2, f: 3, m: 3}. Give prob of picking 1 f and 1 r.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11 = 5*q, 0 = -4*f + q + 1 + 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 + -3.91. Put p, 4, -2 in increasing order.\nAnswer: p, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*p + 0*p - 5*p)*(34755*p - 71812*p + 32088*p).\nAnswer: 9938*p**2 - 24845*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -387?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.1 (b) 0.82 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5206? (a) -2 (b) -8\/5 (c) 1 (d) 65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-15)\/12 + 5\/4. Solve -3*y - 59 + 68 = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189500652.\nAnswer: 2, 3, 11, 53, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*sqrt(10)\/sqrt(2) - 5*sqrt(45)) - (5 + 0 + sqrt(500) - sqrt(500)).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943507.61 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*k - 81*k + 774688 + 3996344 = 0. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/12 - d**3\/6 + 9*d**2\/2 + 2*d + 2. Let v be f(-3). Solve 0 = 2*n + v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 10 = -3*p, -2*p + 8 = -2*g + 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4039.95 + 3860. Let h = j - -180. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894722847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 659446 and 101.\nAnswer: 66604046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 457, 917, 1385, 1855, 2321?\n\"Answer: -k**3 + 10*k**2 + 437*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + g - 3, 2 = -3*b + 3*g - 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702763 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (286 - 350 - 392 - 1106)*(2*r**2 - 3*r**3 - 2*r**2) to the form g*r**2 + k*r**3 + p*r + c and give k.\nAnswer: 4686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d + 5*b - 10*b, -6 = 3*d + 3*b. What is the remainder when ((-2)\/3)\/((-4)\/30) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*h + 6369 - 150, -5*v = -2*h + 2506. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 3, b: 10, v: 1}. Give prob of sequence bb.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 269632286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let v(r) = 634309*r. What is v(p(q))?\nAnswer: -1268618*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*w - 5*i, -1 - 3 = 4*w + 2*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 1471 = 320. What is the remainder when a is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 - -32616.\nAnswer: 32586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q**2 + 12*q + 2. Let d(p) = -p**2 + p. Let f = 73 + -74. Calculate f*g(s) + 8*d(s).\nAnswer: 2*s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 > 656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16005 and 6941?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1638*p = -822*p - 759*p + 3876 for p.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose 9 = -k*h + 5*h. Factor 2 + 2*o**5 - 12*o - 4*o**h + 25*o - 11*o + 2*o**4 - 4*o**2.\nAnswer: 2*(o - 1)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 - 140. Suppose 2*i + i = 0, -3*v + 4*i = -3. Find the first derivative of -v + u - 37*m**2 + 31*m**2 - 1 wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 - 20 = -2*h, -y + 11 = 5*h. Suppose h*z - 2 = -l - 0, 0 = 2*z + 2*l - 4. Let r = -39 + 68. Solve 5*g + r - 4 = z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7230 <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26601 - -26621. Solve -2*b - 4*v - n = 0, v + 3 = -2*b - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(140)\/sqrt(63))\/(sqrt(10)*-1*-1))**2 + 2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-2)*(((-1537)\/29)\/(-689))\/5?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405322 (base 11) in base 3?\nAnswer: -11120002110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*k**2*l**2 - k**2 + 2*k*l**2 - 2*k + 5*l**2 wrt k.\nAnswer: 30*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 849771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rydmyyyyrydymmyryr. What is prob of sequence ry?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19000 divided by 190\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((38 - 36) + 26 - 33) + -74 + 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*f**(-1\/8))**(1\/76)\/((f**(-2\/9)*f)**38\/((f*f**(1\/2))\/f**(-3))) assuming f is positive.\nAnswer: f**(-137131\/5472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 + -2 + 9 + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*n + 22 = 4*o, -3*n = -5*o + 30. Let k = 162 + -256. Let s be (-2)\/(-7) - k\/14. Solve 3*f - 27 = 3*q, 3*f - s*q - 31 = -o*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1*60\/3 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*l = -8, -10 = -8*l + 3*l. Suppose -4*s + 3*r + 316 = f, 3*s + 0*r - 2*r - 238 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u - 9. Suppose -u*f + h = -20, -f - f + 4*h = -8. Solve 0 = f*b + 2 + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose x*y - 14 = -2*f, 27 + 5 = 5*f + 4*y. Let w(u) = u**3 - 6*u**2 + 2*u - 9. Let m be w(6). Is m <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 2. Let u = -157 + 617. Let t = u + -460.3. Which is the biggest value? (a) 6 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 273, 39 in decreasing order.\nAnswer: 273, 39, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 2\/19 (c) -106 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22682029 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16736 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*v + 41*v + 57. Let u = v + 24. Suppose 2*x - 3*x = 2. Put x, u, -1 in descending order.\nAnswer: u, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**4 + o**3 + o**2. Let l(f) = -8*f**4 + 5*f**3 - 5*f**2. Let r(v) = 5*b(v) - l(v). What is the third derivative of r(z) wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.5 - -95.5. Let j = b - 110. What is the nearest to 0.02 in -1\/2, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243*p**3 + 12*p + 58779 with respect to p.\nAnswer: 729*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19711835141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 32*c - 214. What is g(4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/5)*g\/g**(-8)*g)**(35\/4) assuming g is positive.\nAnswer: g**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 624872?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784 + 113 = 324*o + 1273 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(64)\/sqrt(8)))\/(2*sqrt(729) - sqrt(9)).\nAnswer: sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0219472743 - 0.4.\nAnswer: -0.3780527257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = -30. Let g be 24\/(-2) + (-4)\/(-2). Is 182\/f - g\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -14 + 10 - 16\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 11:17 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, 2, -21, -1, -82 in descending order.\nAnswer: 22, 4, 2, -1, -21, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -44898*b + 44898*b - 499*b**2 as d*b + q + o*b**2 and give o.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 90, -4.\nAnswer: -4, -1, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133\/2 + -68. Let r(s) be the first derivative of -2*s**3 + s**2 - s + 2. Let x be r(1). Which is the smallest value? (a) x (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316156 is divided by 34788?\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 13. Let z(i) = -i**2 + 2*i + 3. Let b be z(3). Let q(f) = -356*f - 6358. Calculate the remainder when q(-18) is divided by k(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*((sqrt(156)*2 + sqrt(156))*3 + ((sqrt(156) - 2*sqrt(156))*-2 + sqrt(156) - sqrt(156))))\/(1*-5*-2*sqrt(588)).\nAnswer: -22*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3939313, 7878618, 11817919, 15757216, 19696509?\nAnswer: 23635798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 21471.74\nAnswer: -19324.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 30*u - 796 = 2315. Solve u*a - 8 = 181*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 9*a**6\/40 - 717*a**5\/20 - 121*a**4 - 162*a**3 + 693*a**2. Factor s(m).\nAnswer: 3*(m - 81)*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*c - 15857 - 1670 = -582*c + 1097 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 10 + -11 + 17 - 18 - -120) + 13?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -1\/6*j**5 + 0 + 0*j**4 + 0*j + 53*j**2 + 0*j**3. Let m(n) = -821*n + 821*n - 3*n**2. Determine m(y(a)).\nAnswer: -300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/24 - t**2. Let c(m) = -m**2 + 10*m + 14. Let l be c(10). Let j(v) = -14*v + 29*v - l*v. Calculate j(p(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(5*t + 0*t - 3*t) - 1 + 1 + 3*t**2 - t**2 + 2*t**2 + t**2 + (4 - 7 + 2)*(-5*t**2 - t + t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204 is divided by 198?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -288.334 * 0.7\nAnswer: -201.8338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-117) - 2033\/4173\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13097, 26198, 39299?\n\"Answer: 13101*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((w + w + 0*w)*(1 - 5 + 2) + 0*w + 4*w - 5*w + 4*w - 4*w - w)*((-5 - 2 + 5)*(-w + 4*w + 2*w) - 3 + w + 3) to q*w + j*w**2 + y and give j.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16542000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-10)*(-1)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*u = 7*u + 7, -4*d - 3*u = -19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqqeqqeeqqqqeeeeqqqe. What is prob of sequence qe?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - 6) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 580\/174*(6\/(-5))\/(-1). Let m(s) be the second derivative of -k*s + 0*s**3 + 1\/6*s**4 - s**2 + 0. Differentiate m(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -22*c + 132 + 113 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:10 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*p**2 + 6*p**2 - 18 - 3*p - 32*p**2.\nAnswer: -65*p**2 - 3*p - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*3\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = 7. Let a(j) = -2*j**2 - 2*j - 2. Let i(f) = -f**2. What is w*a(g) + 3*i(g)?\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 29*k + 68*k = -1007 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - d = 54, -2*d + 1 = -3. Calculate the smallest common multiple of n and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*u - 426 = 420*u + 750. What is the highest common factor of u and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 263 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/5)\/(49\/(-245)))\/(8\/30)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -112, -123, -132, -133, -120?\n\"Answer: w**3 - 5*w**2 - 3*w - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7893\/2 - -3945. What is the nearest to -2 in -2, -4\/25, -3, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -13 in ascending order.\nAnswer: -13, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 minus -0.4?\nAnswer: 645.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2600589*k**6 + 392*k**2 + 2*k - 438 wrt k.\nAnswer: 312070680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from jjzzrjifrz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -974, -761, -406, 91, 730?\n\"Answer: 71*z**2 - 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - l**2 - l - 1. Let f be v(0). Let q be (-27922)\/652 - f\/3. Let j = 4\/489 - q. Calculate the common denominator of 43\/22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 592583.\nAnswer: 2\/592583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:15 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 14 + 6 = 0. Suppose -14 = -2*f + y*q, q = 4*q + 15. Suppose -f*b = b. Solve b = d - 2*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times 87.25819?\nAnswer: -130.887285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 + 249*c**2 + 600*c**2 - 44*c**3 + 75*c**3 - 30*c**3 + 215.\nAnswer: c**3 + 849*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, x: 4}. Give prob of picking 3 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -16*b**5 + 4260*b**4 - 292456*b**3 + 1183728*b**2 - 1101448*b + 205932 = 0.\nAnswer: 1\/4, 1, 3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.4, -3\/59, 5, -14, 3?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20036926 divided by 1246?\nAnswer: -16081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 229073\/4 greater than 57267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/8 - (-1)\/(-4). Suppose 5 + 7 = 3*g. Suppose -q = -2*i - g, -3*i = 3*q - 4*q + 5. Sort q, m, 3.\nAnswer: m, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -421699 from 0.\nAnswer: 421699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 24. Let w be 0*(f - (-1 - -3)). Let h(y) = -2*y - 6. Let v be h(-5). Put v, -2, w in descending order.\nAnswer: v, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**8\/336 - h**7\/70 - 63*h**4\/8 + h**3\/6 - 18*h**2 - 3*h. What is the second derivative of f(n) wrt n?\nAnswer: 20*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23798 = -11588304*j + 11588630*j for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 r when four letters picked without replacement from rrwwwwr?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.721829l in millilitres?\nAnswer: 7721.829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -16 (c) 639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 4771?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 223*d**2 + 3458*d - 1754. Give y(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.214896 + -0.202. Round t to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3 + a - 2*a**2 + 2*a**3 - a**3 - 1 + 0*a. Let c be n(2). Let y(v) = 3*v - 4. What is the units digit of y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617)*5)\/sqrt(11)*5 - sqrt(300)*2*2*4)*-5.\nAnswer: -75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5852532*q**4 + 7*q**3 + 231326850*q**2 wrt q?\nAnswer: -140460768*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2509, 5226, 7967, 10726, 13497, 16274, 19051, 21822?\n\"Answer: -k**3 + 18*k**2 + 2670*k - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.2, 1\/10, -9, 0.63?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 10) in base 4?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*d + 14456 = 79*d - 28*d - 40*d for d.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74887?\nAnswer: 74887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(28)\/sqrt(4)*3*5*-6.\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44517661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.03. Let g = 154.5 + -155. What is the third biggest value in 1\/6, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7144734.47 + -0.05?\nAnswer: 7144734.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 676 and 216.\nAnswer: 36504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783391 is divided by 308.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*z - 13, -13 + 2 = -s + 3*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19717?\nAnswer: 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 0*s - 18. Solve -2*j + 5*x - 10 = s*j, 3*j + 4 = x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6) + 0)*27\/10242. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649 = 133*f + 149 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g**2 - 13*g - 11. Let r(x) = -x**2 - x + 3. Let s(d) = m(d) - 2*r(d). Let w(k) = -k**2 - k - 1. Calculate 2*s(u) - 22*w(u).\nAnswer: -2*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f + 3. Let u be j(-7). Let t = u + 41. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.0036 and 1.\nAnswer: -1.0036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 29*g + 32*g - 129*g + 33*g + 275 + 27*g. Let s be a(34). Let 6*z**2 + 98 - 2\/7*z**s - 42*z = 0. Calculate z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-162)\/48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = b. Suppose 7*d - 21 = -b. Put 30, 4, d in increasing order.\nAnswer: d, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*w - 5, -2*a + 0*w - 1 = -w. Let f be (-2 + (-26)\/a)*6. Let p be f\/15*(1 + 5). Solve -1 = 5*i - p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - 0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 1.1. Let h = 4 + -5. Let j = h - n. Sort j, 1\/4, 5.\nAnswer: j, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2212\/23621 - (-75)\/(-650).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 165?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 3*s + 2. Let m be y(-3). Suppose -6*r - 2*p + 82 = -2*r, -m*r = 2*p - 46. Let k = 29 - r. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026494931824 rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1249, 2532, 3815, 5098, 6381?\nAnswer: 7664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 309 = 4*r + 291. Let v(k) = -2*k**2 - 35*k + 7. Determine v(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 189 - 5?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 9*h. Let x be z(4). Let c = -12 - x. Calculate the remainder when 31 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000 and 3823350?\nAnswer: 76467000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.2 - -10. Let c = 1609 - 1607. Put 9, v, c in decreasing order.\nAnswer: 9, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 561096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -6*u + 656. Let b = u + -76. Calculate the greatest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40335 (base 8) to base 2\nAnswer: 100000011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2931 + -2931. Which is the nearest to n? (a) 0.4 (b) -0.1 (c) -0.3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 519.3933 + -513.38. Let i = -6 + k. Round i to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -253 or -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14384 and 1424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 10:20 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(95\/10 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -146 + 168 + (-6 - (-2 + 1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136938 - 13145921\/96. What is the common denominator of -115\/12 and g?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3801 - 4585. Are i and -786 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 4*w + 23 = o, 5*w - 22 = o. Let g(z) = -64*z + 6. Let r(j) = 127*j - 13. Let k(y) = o*g(y) - 3*r(y). What is the tens digit of k(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1304, 896, -1222, -5050, -10588?\nAnswer: -17836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*t + 6 = -7*t, 3*i = -5*t - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1021077, -1021233, -1021387, -1021539?\n\"Answer: r**2 - 159*r - 1020919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-35 + 6 + -4 + 7 + 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 80*b - 8958. Let r be d(112). Solve 2*f - 11*l = -8*l - 6, -5*f + r*l = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(0 + sqrt(432))*1 - (-1*-1*sqrt(432) - sqrt(432)*-2*-1)) + -5)*5 + 1)**2.\nAnswer: 14400*sqrt(3) + 270576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1006*n**4 - 33*n**2 - 25*n**2 - 2002*n**4 - 24 - 20*n**3 - 64*n + 994*n**4.\nAnswer: -2*(n + 1)**2*(n + 2)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Suppose 93 = 16*b - 83. Let u(o) = o**2 - 5*o - 6. Calculate b*y(q) + 2*u(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -13*z - 30. Let v be u(-20). Suppose 0*r = 4*k + 3*r - v, 114 = 2*k + r. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p - 150 = 0. Does 13 divide (-256)\/(-10) + 12\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = -2425 + 6763. Solve -4 - z = -35*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-594)\/(-8) + (-1)\/4. Suppose 7*y + b = -10. Is 11 a factor of 1\/((-14)\/y)*(3 - -39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-2))\/(-2))\/((-253)\/759).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 5 (c) -0.1 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4437)\/68)\/(-29)*2\/(-3). Which is the third smallest value? (a) -1\/261 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -2406161?\nAnswer: -9\/2406161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + -52 - 17) + (-3 - -21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 12654.449942\nAnswer: -12659.449942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + n + 70585 = 0, 47387 - 5036 = 3*c + 3*n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.086 rounded to two decimal places?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*o - 8 + 8. Suppose -51*v - 3*d = -47*v - 31, o = -5*v + 4*d. Let u be 1\/(0 + 2\/6). What is the highest common divisor of u and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - -109) + 11 + -22 + 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-885)\/36 - -3) + (-3)\/(-12). Which is smaller: o or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 482*x**2 - 206*x + 11. Let s(k) = 96*k**2 - 41*k + 2. Let t(m) = 2*r(m) - 11*s(m). What is the second derivative of t(d) wrt d?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -3673*r**2\/2 + 4110*r + 1804. Differentiate m(h) with respect to h.\nAnswer: -3673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 12*o + 6. Let s be r(11). Calculate the lowest common multiple of 55\/3 + 1\/(-3) and -1 - s\/(-1 - 0).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -67\nAnswer: 14\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84394, 168812, 253244, 337690, 422150, 506624, 591112?\n\"Answer: 7*r**2 + 84397*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-2)\/8). Suppose 2*g - 8 = 2*r, 0*g + 3*g - 12 = -2*r. Solve -c + 2*i + 2 = -r, d*c + 2*i + 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 11*h**3 - 27*h**3 + 16*h**3 + 0*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -30*h - 65. Let m be u(7). Calculate the common denominator of (m\/(-20))\/((-36)\/48) and -16\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 8:19 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 3:56 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 2*v - 101*v**2 - 20458*v**3 + 40787*v**3 - 20328*v**3.\nAnswer: v**3 - 101*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9024 divided by 4?\nAnswer: -2256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10560 and 122580.\nAnswer: 21574080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - 0.01. Let c = j - 0.199998. Round c to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61485 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j + 17506 - 4546 = 0. Suppose 2*d + 4*q = d + 36, 4*d + 4*q - 132 = 0. Calculate the highest common divisor of j and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14609 + 14609.3. Sort u, -4, 2\/13, 0.8, -1 in decreasing order.\nAnswer: 0.8, u, 2\/13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39151.520236 - 41.\nAnswer: -39192.520236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61030343411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*f + 1. What is the lowest common multiple of (2*f)\/(1 + -2) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 156502?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.6549 rounded to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-1 - 20\/6). Let q(k) = -k**3 - 12*k**2 + 13*k + 14. Let d be q(x). Solve s + d = -2*h, 3*h - h - 3*s - 2 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/33 + ((-4905629)\/25146)\/361?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 2*x**5 + x**5 - 2*x**5 - 5*x**5 + 5*x**5 + (0*x**2 + x**2 + x**2)*(-3*x**3 - 3*x**3 + 5*x**3) + 631*x**5 - 555*x**5 - 391*x**5.\nAnswer: -321*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1324*h**2 - 444 + 1053*h**2 + 444.\nAnswer: 2377*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*c - 4*i, -83*i - 21 = 3*c - 78*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 1968\/(-18) - -76.\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/31 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5093\/16870 or 0?\nAnswer: 5093\/16870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 2:46 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1113.2 + 1138.2. What is the biggest value in 0.3, 49\/5, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 8*p + 851, 4*p - 215 = 15*g - 16*g. Is 191 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78980 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7525 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8664.878 micrograms to kilograms.\nAnswer: 0.000008664878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 893151 and 1277275.\nAnswer: 2170426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3 - 54606\/18201). Let w = k + -8767. What is w rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -47) + (36 - 82).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11300, -11299, -11310, -11339, -11392, -11475?\nAnswer: -11594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjzj when four letters picked without replacement from {j: 5, z: 14}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1073 and 44?\nAnswer: 47212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 49 + 2*w**2 + 3532*w + 19*w**2 - 3552*w. Let i be o(-22). Let v be 118\/24 + 1\/(-4). Which is greater: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/4)\/9 - (-7)\/4. Suppose 3*w - 7*w + 1284 = 0. Suppose 197 + w = x*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 - -205.8. Let h = f + -15. Let l = 0.80068 - h. What is l rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3 + 21. Let q be (l - -5)\/((-1)\/5). Sort 3, q, -1 in increasing order.\nAnswer: -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*o**2 + 5216*o**3 + 2*o + 29*o**2 + 6520*o**3 + 27*o**2.\nAnswer: 11736*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 6)*(-m**3 + m**4 + m**3)*(-4 + 1 + 1) to w + h*m**2 + q*m**4 + k*m + l*m**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 23*v + 126. Let y be k(7). Suppose 4568 + 3748 = y*b. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182\/29 <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.37 - -13.37. Which is the nearest to 1\/3? (a) 0.07 (b) 0 (c) p (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279410, -1117791, -2515092, -4471313, -6986454, -10060515, -13693496?\nAnswer: -17885397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*p - 18*p + 23*p**3 - 28*p - 10*p - 25*p**2 - 19*p**2 to x*p + n*p**3 + s*p**2 + b and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = t + 1, -i - 4*t = t + 23. Let o = -1 - i. Suppose s + o*y = -2, -y + 6*y = -3*s - 3. Solve -5*u - 9 = s*b - 0, -4*b = -3*u - 31 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 15, w: 4}. Give prob of picking 1 j and 1 w.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*p + 4*d - 8, 0 = 3*p - 4*d + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/19, 2\/9, 3 in increasing order.\nAnswer: 3\/19, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/(-225) + (-6 - (-368)\/60). Let b(i) = i**3 - 2*i**2 + 1. Let l be b(1). Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6000 and 480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 330450*i + 330445 = 0. Calculate i.\nAnswer: 1, 66089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1249, 0, -11 in descending order.\nAnswer: 1249, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 41\/501?\nAnswer: 41\/501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228) + (sqrt(228) - ((sqrt(228) + -2*1*sqrt(228) - sqrt(228)) + sqrt(228))) + sqrt(228))\/(sqrt(108)\/sqrt(441) - sqrt(12)).\nAnswer: -35*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6633942mm?\nAnswer: 663394.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -26*z**2 + 71*z - 20. Let r(a) = -6*a**2 + 17*a - 5. Let i(u) = 2*b(u) - 9*r(u). Factor i(m).\nAnswer: (m - 5)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 - -21 - 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331060 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.7327 + 25\nAnswer: 24.2673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 127, 100, 41, -62?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 17*c**2 - 39*c - 13. Let v be f(-19). Is (48\/v - 3)*1847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54076 is divided by 3398.\nAnswer: 3106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138876048 less than or equal to 138876044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*w**3 - 6\/7 + 6\/7*w**2 + 3\/7*w.\nAnswer: -3*(w - 2)*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*a*i*k**2 - 6*a*i*k - 13168*a*k**3 + 2*a*k + 3*i*k**4 + i*k**2 + i*k + 2*k**2 wrt k.\nAnswer: -79008*a + 72*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-17))**(-41) assuming t is positive.\nAnswer: t**697","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/18089610 and 241\/7941780?\nAnswer: 325612980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -719.286294439 less than -8.3?\nAnswer: 710.986294439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*r + 16, -w - 16 = -4*r - 0*w. Solve -5*x = -r*q + 36, 2*q - 16 = x + x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8511?\nAnswer: 3, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1207 - 1208.379. Let z = w - 59.321. Which is greater: z or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 1166.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3429279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 2*j**2 + 5*j - 5. Suppose -86 = -5*c - 76. Let o be q(c). Let a be 88\/4 - 1 - 0. Calculate the greatest common factor of o and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 355\/7 + -1 - (-32)\/112. Suppose -z + 19 + 3*y**2 + 27*y - 35 = 0. What is y?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1892*k**4 - 2*k**3 - 553*k**2 - 305*k + 32174.\nAnswer: -22704*k**2 - 12*k - 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164661*w + 199694*w - 84763*w + 87965*w.\nAnswer: 367557*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -2)\/(-24 + 1). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(252))\/sqrt(4) - -4*(sqrt(63) - sqrt(2268)))\/((sqrt(27) - sqrt(27)*2*2)\/((sqrt(36)\/sqrt(4))\/sqrt(3))).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7920 is divided by 78?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 28\/(-6))*-9. Let t be 40*6*(-3)\/q. Solve 0*c - t = -5*c + 5*r, -3*c - 4*r + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2222 + -2218.817. Round u to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {j: 1, s: 4, l: 2, o: 4, d: 3, g: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 14. Let v be t(9). Solve -v*i = -3 - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) -3 (c) 3.5 (d) 0.3 (e) 12\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-144)\/(2 + 1)*1. Let k = 104 + r. Let q be (-19)\/7 - 16\/k - -50. Is q <= 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1710*p**2 - 567*p**2 - 575*p**2 - 569*p**2. Let w(r) be the second derivative of 83*r**4\/12 - 2*r. Give u(w(i)).\nAnswer: -6889*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -27 - -69 - (1 + (-1 - -40)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**2 + 27*p + 2. Let m(b) = -11*b**2 - 41*b - 3. Give -5*m(g) - 8*n(g).\nAnswer: -g**2 - 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:28 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**2\/17 + 194*o\/17 + 60\/17.\nAnswer: -2*(o - 10)*(10*o + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwbbbhbjbbrbjbb. Give prob of sequence wjr.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -1.1, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 9*d**2 + 9. Let c be y(-9). Suppose 9*p - 12*p = -c. Suppose -5*r + 86 + 38 = p*m, m - 3 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1504, -12116, -3 in decreasing order.\nAnswer: -3, -1504, -12116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*w - 2*x, -33*x + 34*x = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 487 - 282. Suppose -c - 8*v = -3*v - h, 589 = 3*c + 2*v. Is 39 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 3 - (-72)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 64*i - 632. Determine o(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - -4. Suppose 2*d = -3*j + 220, -3*j + d + 169 = -r. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111 and 1521789.\nAnswer: 56306193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-6))\/(2\/9). Suppose 4*f - k - w = 0, -3*f + 6 = k - 10. Suppose -y + f = -0*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Solve -3*m = -5*o - 4*m - 9, -3*m - 12 = k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-84))\/(254\/762).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, -1\/18, -0.5, 3, 89, 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273609051 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361174439 less than 0.0038?\nAnswer: -0.357374439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/208 or -1?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + u**2 - u + 14. Let y be j(0). Suppose 7*c = -5*l + 3*c + y, 5*l = -c + 26. Solve 5*t + 7 + 4 = -3*d, -l = 5*d - 4*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/45 - b**4\/36 - 4*b**2. Find g such that p(g) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(252) + sqrt(7) + -4).\nAnswer: -14*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(76)*-1 + sqrt(76))\/sqrt(4))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33462, 33451, 33450, 33465, 33502, 33567, 33666, 33805?\nAnswer: 33990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1700)\/187 - -9)*-3.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(-1\/7)*b*b*b**(-1\/7)*b assuming b is positive.\nAnswer: b**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -48 (c) 3\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 121*y**2 - 2*y. Let r(b) = 10772*b. Give h(r(t)).\nAnswer: 14040354064*t**2 - 21544*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 - 6*j + 5. Let h be y(-6). Let l be ((-1)\/(-2))\/(2\/4). Let w = h + l. Calculate the lowest common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.27317 meters to nanometers.\nAnswer: 53273170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325.997997 + -5.909567. Let l = g - 319.81843038. Let r = -0.27 + l. What is r rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 795?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 856290?\nAnswer: 3425160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 450\/(-45)*((-6)\/(-4))\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/528*-28)\/((-5)\/30*7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e74 - 2?\nAnswer: -e76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2777, -2774, -2769, -2762?\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, s: 1, o: 3, b: 2}. What is prob of picking 1 j and 1 o?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103096908 to the nearest integer?\nAnswer: 10154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u - 4*t - 10, -2*u + 5 = -3*t. Find the common denominator of (-2 - 97\/6)\/(-3) and -4 + 205\/u - -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from {c: 4, e: 3, s: 1, l: 5}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83504 - 56550. List the prime factors of z.\nAnswer: 2, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 - 21 = 0. Suppose -2*y = -n*y + 15. Solve -5*p = -y*r - 40, -2*r + 4*r - 8 = -4*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80663, 80665, 80669, 80675, 80683, 80693, 80705?\n\"Answer: l**2 - l + 80663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35190414167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37739 a multiple of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7225.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26*j - 46. Let h(r) = 44*r + 292. Let a be h(-7). Let g(b) = 5*b + 9. What is a*g(x) - 3*v(x)?\nAnswer: -2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 11*w**3 - 4*w**3 - w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38115 - 38115 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nng when three letters picked without replacement from naaanaaaaaagaaan.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b52 (base 12) to base 6.\nAnswer: -11342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3\/t)\/(t**(-5)\/t))\/((t*t**(-3))\/(t\/((t*(t*t\/t**6)\/t)\/t)*t*t)))**10 assuming t is positive.\nAnswer: t**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppnpnp. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = 5*l - 4, 2*o - 3 = -3*l. Suppose -4*u - 1 = o. Is u not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -16, -19, -2, 47, 140, 289?\n\"Answer: 2*f**3 - 8*f**2 - f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*a - 5. Find the third derivative of -11*x**6 + 2*x**6 - 4*x**6 + a*x**2 - x**6 wrt x.\nAnswer: -1680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 - 8*i**2 + 2*i. Suppose 109*q - 102*q + 28 = 0. Let a(h) = -6*h**3 - 9*h**2 + 3*h. Calculate q*l(m) + 3*a(m).\nAnswer: 2*m**3 + 5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + j + 4 + 5*j - 4*j. Let b(n) = 9 + 2 + 3*n + 0*n. Determine -4*b(h) + 11*u(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:20 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 1987369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 55?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmiciinmcniim. Give prob of sequence nci.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -57*q - 206. What is the remainder when s(-8) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsss when four letters picked without replacement from slllssss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*13.1.\nAnswer: 969.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 178*k**2 + 4*k - 361. Let v be r(89). Sort -95, 3, 4, v in decreasing order.\nAnswer: 4, 3, v, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-4928)\/(-11)))\/(10*(-4)\/(-480))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -640115 and 1247?\nAnswer: 641362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110802*a**6 + a**3 + 275204*a**2 - 2*a wrt a?\nAnswer: 13296240*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244959 divided by 1?\nAnswer: -1244959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1515428 - -88?\nAnswer: 15154b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13562693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7204606 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 8)*1\/(-2). Suppose -3*s - v + 14 = 0, p*s + 0*v - 4*v - 34 = 0. What is the third derivative of -d**6 + 0*d**2 - d**s - 3*d**2 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(441) + -5*sqrt(441)*1)\/((sqrt(378)\/(-2*sqrt(9)))\/(1*(sqrt(6) - (sqrt(24)\/sqrt(4) + sqrt(6))))) + -5.\nAnswer: -42*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/40 - 2*y**3\/3 + 3*y**2. Let j(o) be the first derivative of x(o). Let w(l) = -4*l**2. Give w(j(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -5 + (0 - 2). Let m be 18\/3 - (y + 3). Differentiate -i + 3 - m - i with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**3 + 88*y**2 - 195*y + 27. What is l(2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 4*k + 26, 30*k - 34*k = 8 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30798879*z + 7679271?\nAnswer: 30798879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + -7.82. Let r = -2.4 - p. Let o = r - 0.3. Which is the third biggest value? (a) 0 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 4235 = 13451. Let p = -403 - y. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.22, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63440950?\nAnswer: 2, 5, 79, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2012292, -2012299, -2012306?\n\"Answer: -7*m - 2012285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358604120 a multiple of 2014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s = 20*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 11199.\nAnswer: 22398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + 312 + -309?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*c**5 - 3*c**4 - 4*c**3 + 483*c?\nAnswer: 1380*c**3 - 36*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 440*-5\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 4, 3\/13, -0.4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318486443?\nAnswer: 11, 67, 432139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - d - 14, f = 3*f + 3*d + 9. Let q(p) = 0*p + f*p - 2*p - 6 + 0*p. Calculate q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3045 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -828, -1605, -2326, -2991, -3600?\n\"Answer: 28*s**2 - 861*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v**2 - 7*v**2 - 38 - 33 + 57 as b + t*v**2 + d*v and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Let x = -1099 + 705. Let r = x + 393.8. Put -3\/5, -2\/7, o, r in descending order.\nAnswer: o, r, -2\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -a - a. What is the least common multiple of a and 7\/(-2)*(-2 + 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -18*q. Suppose 11*t + 3*t - 224 = q. Solve t = -4*d, -x - 12 = 5*d + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4099527 or 4099482?\nAnswer: 4099527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217100?\nAnswer: 2, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3489*z + 8. Let i(x) = 3488*x - 12. Give -2*i(s) - 3*r(s).\nAnswer: 3491*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44 + (-3)\/((-3)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 3. Let i be n(-5). Let z = i + 31. Suppose 0 = -7*u + z*u - 12. Solve -2*m + q = -5 + u, -2*q = -3*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-34) - (-544)\/5202\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let a(w) = -2*w - 374654. What is a(j(d))?\nAnswer: -2*d - 374654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -5 + 5 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372599.33 rounded to the nearest one hundred?\nAnswer: -1372600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63152 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -20695114\nAnswer: 82780456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19822, -39613, -59406, -79201, -98998?\n\"Answer: -g**2 - 19788*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 201640 (base 7) to base 5\nAnswer: 2044104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, 282, 993, 2392, 4707, 8166?\n\"Answer: 38*f**3 + 2*f**2 - 21*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3*m = -5*k - 155, 5*m = 4*k + 150. Let u = m + -12. Let j = 41 + -23. What is the least common multiple of u and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555 is divided by 83.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {d: 3, a: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 + -3a468?\nAnswer: -3a4ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**2 + 4*o - 5. Let n be 6 + (1 - -1)*-1. Let y(q) be the second derivative of 13*q**4\/12 - 3*q**3\/2 + 11*q**2\/2 - q. Give n*y(v) + 9*p(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + l. Suppose -f - 3 = -l. Let u be f + 1 + 24\/14. Put -1\/3, -2\/5, u in decreasing order.\nAnswer: u, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101540 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -71679 times -1.2?\nAnswer: 86014.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157818, 315773, 473728, 631683, 789638, 947593?\nAnswer: 1105548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/458, -1, 1\/3 in increasing order.\nAnswer: -1, 1\/458, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 30, 1, -2\/5, 0.7, -9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s**3 - 8*s**2 + 15*s - 38. Is c(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1740.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 478120349539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*h - 0*h - 21, 4*q + 6 = -h. Let z = 11 - h. Suppose 5*b + 20 = 3*j - 7, 2*j + b - z = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -117411\/4612 at least -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 5*p**2 + 4*p - 2. Suppose 3*d + 0*d = 9. Suppose -18 = -d*w - 6. Determine j(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j + 2. Let i(d) = -7*d. What is i(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4 - 54*i**3 - 769*i**2 - 3816*i - 6160 = 0.\nAnswer: -35, -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.4. Let y be 5 - 12 - (-23)\/3. Which is the closest to y? (a) -6 (b) -5\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p - 1. Let z be t(1). Suppose -g + 19 = j, z*g = 4*j + 88 - 28. Calculate the remainder when 49 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 5*i + 42 + 49)*((-3*i**3 + i**3 + 0*i**3)*(-41 - 22*i + 41) - 16*i + 16*i - 6*i**4).\nAnswer: -190*i**5 - 114*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 40 - 29 - (3 - (3 + -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1a88be?\nAnswer: 1a88be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b**2 - 2691*b - 2658*b - 14 + 5352*b - 24*b**2 in the form p + v*b + g*b**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w + 4*w - 6*w - 2*w + 2*w + 2*w + 1 - 1 - w - 2*w + w + 0*w + 0*w - 2*w + 3*w + (1 + 1 - 4)*(-2 + 2 + 2*w) - 3*w - w + 3*w + 5*w + 0*w - 3*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -73120000 rounded to the nearest one million?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o. Suppose -w - 192 = -4*r + 2*w, -16 = 4*w. Let h be 7\/(-9) + 1 - (-350)\/r. Let j(k) = -4*k**2 - 7*k + 10*k - h*k. Determine j(c) + 3*q(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11808676 divided by 11.\nAnswer: 1073516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 22692869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (120\/(-3))\/((-1)\/(-4)). Let a = 241 + k. Let h be 8\/(-20) + a\/15. Put 8, -1, h in descending order.\nAnswer: 8, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045078087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543962549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*n - 109, -2*z + 2*n = -0*z - 42. Suppose 12*c - 218 - 58 = 0. Are c and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, 5, -33228, -34 in descending order.\nAnswer: 5, 4, 2, 0, -34, -33228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -65. Let h be -7 + v - (2 + -1). Solve -3*i + 5*i - 15 = h*f, -2*i = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = 5*v + 6, 22 = 5*l - 4*v. Suppose l*s = 10 + 152. Let y = 138 - s. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*t**2*x**3 + 2053*t**2*x**2 + 3*x**4 + 249*x**3 - 9*x wrt x?\nAnswer: 516*t**2 + 72*x + 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2096*y**6 + 8766*y**4 + 4346135*y**2 + 1 wrt y.\nAnswer: -251520*y**3 + 210384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Suppose h = 3*a - a. Suppose -a*u = 3*u - 1895. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10117, -40376, -90681, -160936, -251045, -360912?\n\"Answer: 16*x**3 - 10119*x**2 - 14*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (796\/(-350) - -2)\/((-370)\/(-2590)) - (-4)\/(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6056420 - r**2 - 6056420 + 20*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13505024\/69 or 195725?\nAnswer: 195725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1.01?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0256250679 rounded to 6 decimal places?\nAnswer: -0.025625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1035 and 207?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1414 and 482881.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20.71 or 145?\nAnswer: -20.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 86, 150, 228, 314, 402, 486, 560?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2979*j + 1. Let a(v) = -8932*v - 2. Give 3*a(z) + 8*i(z).\nAnswer: -2964*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/519512 and 97\/74216.\nAnswer: 519512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 13*j**2 - 2*j + 6. Let t be n(13). Is 10 a factor of 63*(t\/(-6) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r + 93. Let k(w) = -7*w - 67. Let b(m) = 5*a(m) + 7*k(m). Suppose g + 1 + 4 = 0. Give b(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -313 + 322 + (2\/4*2)\/(99\/(-913)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -406628 greater than -406616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176278 and 2120.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19146176 and 4?\nAnswer: 19146176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 5 (c) -4.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 20*z**2 - 94*z + 37. Calculate k(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -621 + 620.6. Which is the closest to 11? (a) -2\/15 (b) 7 (c) y (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 10*v + 2*v + 91818. What is v rounded to the nearest one hundred?\nAnswer: -15300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 82\/6*(-54 - -81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-10)*-4*12\/576*50\/5.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188 - 279) + -13 + 10 + 28.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - 55735?\nAnswer: -55716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-44)\/(-1) + (4 - 6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**2 + 906*j - 4*j**2 + 885*j - 5*j**3 - 1771*j - 20.\nAnswer: -5*(j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8626283 (base 10) in base 11?\nAnswer: -4962066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*f + 4*f. Let i = 16 - f. Let q = -4 + i. Put -5, q, 3 in increasing order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/14136 and 131\/851960?\nAnswer: 79232280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8\/7, 222289 in increasing order.\nAnswer: -1, 8\/7, 222289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 439734 and 201324?\nAnswer: 16709892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -4869710?\nAnswer: -4869710.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14869*l + 14869*l - 9*l**2 - 5*l**2 - 2 + 11.\nAnswer: -14*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -17, -1, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-4)\/t)*t*t*t*t\/(t*t\/(t*t**(-2\/7))))\/(t**(-6\/7)*t**(3\/5)))**39 assuming t is positive.\nAnswer: t**(12246\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/5097197 and 37\/5097197.\nAnswer: 5097197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (640\/50)\/((-4)\/(-5400))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101283 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/14 (b) 174 (c) -0.073 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2)\/((-1)\/((-9)\/(-36))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = h + 4*x, x = -1. Let k = h - 5. Let a be ((-23250)\/k)\/(1\/(-480)). Round a to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 1 + 2 - 3. Let x = -6 + 5. Let h(g) = 1. Let v(y) = y + 2. Let b(s) = x*v(s) + 2*h(s). What is b(q(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 4. Let p be s(-5). Let u = -1 - p. Let m(d) = d**2 + d + 10. What are the prime factors of m(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8549422 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 19*i - 75. Let s be w(-24). Suppose 6*x - 339 = s. Suppose 6*t = -4*z + t + 7, 3*t = 3*z - 39. What is the highest common divisor of x and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 12 - 0. Let v be (-2)\/m*-2*6. Suppose -2*w = -v*g - 4, -3*g + 5*g = 3*w - 10. Put -4, 1, w in descending order.\nAnswer: w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020020000001 - -2012?\nAnswer: -12020012220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Let z(p) = 2*p. Suppose 6 = -3*w - 2*t, 3*t - 6 = -2*w - 15. Let i(k) = -k - k + k + w. What is g*z(v) + 11*i(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 12*x**2 + 12*x - 3. Let n(h) = h**3 + h**2 + 11. Let i be n(0). What is the least common multiple of m(i) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52774\/885 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + z)*(0 - 4 + 3)*(2 + 8 + 9) as m*z + f and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 29*o**2 + 30*o + 37. Let t be c(-28). Does 25 divide 4\/(12\/3417) - (t + 20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3626387, -7252781, -10879175?\nAnswer: -14505569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 2*t**3\/3 - 2*t**2 + 8*t. Let p be m(4). Suppose -5*w - 22 = -p. Sort w, 5, 0.2.\nAnswer: w, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h, a - 4*h - 532 = 19. Calculate the smallest common multiple of 2 and ((-8)\/5)\/((-37)\/a).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/6)\/5)\/(265\/((-15583590)\/(-729)))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -14. Let q = -44309 - -44375. Calculate the highest common factor of u and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 87*a + 2236. What is the tens digit of c(69)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4609 - 4605. Which is the nearest to -1? (a) -22 (b) h (c) -2\/13 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6412347?\nAnswer: 3, 712483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:42 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j\/(j*j\/j**(2\/7)))\/j)\/j*j)\/(j\/(j\/j**(-1\/10))))**(1\/25))**(-10) assuming j is positive.\nAnswer: j**(43\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 42*i**2 - 2. Let x be k(-1). What is the highest common factor of x and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 4*r - 56 = 0. Put r, -2, 4 in ascending order.\nAnswer: r, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3, t: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 7*k + 7. Let m be u(-6). Let o = 7903.7 + -7904. What is the closest to m in -3\/5, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28470451*v**2 + 109298*v - 25?\nAnswer: 56940902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 454474157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100012 - -10102120?\nAnswer: 11202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 14*n - 70. Suppose -785 = -10*b + n*b. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/15576 and 3\/1888?\nAnswer: 62304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3\/3 - 3*f**2 + 56*f - 42. Let v be c(-11). Solve -v = -3*m - 2*u, -5*m = -u + 2*u - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 2\/3*3. Let i be (-1 - a)*(-30)\/(-9). Determine l, given that -10*l**3 + 25\/2*l**4 - 2 - 21\/2*l**2 + i*l = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16757750.\nAnswer: 2, 5, 17, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v**2 - 6*v + 34. Let m(k) = -7*k**2 - 3*k + 19. Determine 2*i(u) - 5*m(u).\nAnswer: u**2 + 3*u - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130364 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.197 - 0.097. Put i, -3, 0.17 in increasing order.\nAnswer: -3, i, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30424 - 200?\nAnswer: 30224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*2*sqrt(128))**2.\nAnswer: 768*sqrt(2) + 18448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3\/(g**(-5)*g)*g**4\/g*g*g\/(g**(-4)*g*g*g*g) assuming g is positive.\nAnswer: g**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/4)\/((-1)\/2). Let t = -18 + 28. Let h = -18 + t. Which is greater: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385065 is divided by 192505?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261573?\nAnswer: 3, 13, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 + 10 + 16*n**3 - 13*n**3)*(2 - 3 - 1).\nAnswer: 6*n**3 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {y: 5, c: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1208*h**2 + 8640.\nAnswer: -2416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2423751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.02450801.\nAnswer: 0.2450801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = -2*o + 6*r, -183*o = -187*o + 3*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -41031.69 to the nearest 100.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90013*b - 6528 = 89945*b for b.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 5, -2, -334, -7 in ascending order.\nAnswer: -334, -7, -2, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 26. Suppose -f*c + 2 = 2. Suppose c = -7*t + 6*t. Solve t = -5*z + a + 22, -4*a + 21 + 6 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -356?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/126 (b) -2\/13 (c) 2\/13 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/4)\/a)\/a*a**5)\/(a**(2\/23)*a*a**2*a) assuming a is positive.\nAnswer: a**(15\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 5 + (-5 + (2*sqrt(5808)*-2 - (sqrt(5808) + 1*sqrt(5808) + 1)))**2).\nAnswer: -209127 - 3168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1026.794 + 1028. What is m rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 47 - 95 + 47. Let w(v) = -v - 4. Let i(m) = -3*m - 12. Let y(u) = -3*i(u) + 8*w(u). Give 9*x(b) + 2*y(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**5\/60 - a**4\/24 - 7*a**2\/2 - 4. Let i(x) be the second derivative of d(x). Factor i(h).\nAnswer: -h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:10 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/9)*a)**(-1\/7)\/(a**(19\/4)\/a**14) assuming a is positive.\nAnswer: a**(2291\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let h = 150.71607 + -151.716. Let j = h + n. What is j rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, -66.7, -1, -3\/2, 0.5 in descending order.\nAnswer: 0.5, 0.1, 0, -1, -3\/2, -66.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 9) in base 16?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 10) in base 12?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00498084 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 20 + 1)*(2*j - 5*j + 2*j + (7 - 4 - 4)*(-3 + j + 3) - 6*j + 3*j + 2*j - 2*j - 2*j + 2*j) to the form q + m*j and give m.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b**2*p + 519998845*b**2 + 126*b*p + 29065*p wrt p?\nAnswer: -5*b**2 + 126*b + 29065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6180239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -162439, -324879, -487319, -649759?\n\"Answer: -162440*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*((20\/(-70) - (-208)\/42) + -4). Let i(b) be the first derivative of -b**3\/3 - b**2\/2 + 6*b + 2. Give i(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133973718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -20 (c) -2\/7 (d) -0.091 (e) 1 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7984 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 12*c**2 - 5*c - 16. Let f be y(-12). Suppose -2*t + 6*t = -4*r + f, -5*r + 4*t + 55 = 0. Solve -w - 2*w = 2*v + 19, -3*w = -2*v + r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, 2, -29.\nAnswer: -29, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2533*l - 9400 - 10485 = 379 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 175501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -943626 divided by -943626\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1383*z - 46. Let j(s) = 345*s - 12. Calculate -15*j(v) + 4*u(v).\nAnswer: 357*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5667 - 5666.9999909819. What is z rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4*o**3 - 15452*b**4 - 14*b**3 + 2*b**2 + 20*b*o**3 - 5*b + 3*o**3 + 427 wrt b.\nAnswer: -72*b*o**3 - 370848*b - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Let u(w) be the second derivative of -5*w**4\/12 + 11*w. Determine u(a(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552105 to the power of 1\/2, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7690*t + 7693*t + 3 = 2*j, 101 = 2*t + 33*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (-29 + 66 + -44).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.4 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 - 167*f**2 - f + 2. Let d(n) = -7*n**3 - 332*n**2 - 3*n + 5. Determine -5*c(y) + 2*d(y).\nAnswer: y**3 + 171*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/10)\/((-4)\/49960*2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6274043155.25 + -6268093225.249935. Let q = c + -5949901. Let m = q + -29. What is m rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (2 - 0 - (27 + -8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 10 = 5*k. Let b(x) = x**4 - 5*x**3 + 3*x - 5. Let t(s) = -4*s**3 + 2*s - 4. Let p(f) = k*b(f) - 5*t(f). Find the second derivative of p(n) wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/22)\/(-1))\/(4\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -414026.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:55 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-7 - -3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -24617.214 to the nearest 100.\nAnswer: -24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhghghggzkhghy. Give prob of sequence hgz.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1144 * 4.\nAnswer: -4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2621*p**2 - 20 - 2594*p**2 + 5207*p**2 - 291*p**3 wrt p?\nAnswer: -1746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51294, -51313, -51290, -51207, -51046, -50789?\nAnswer: -50418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) + sqrt(85) + (sqrt(85) - (sqrt(85) - sqrt(85)*3)))*6)\/(sqrt(45)*-1))**2*-3*3.\nAnswer: -16337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2412426 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 2*c**2 + 4*c**2)*(4*c + c - 3*c)*(2 + 2*c - 2)*(103506*c - 1044 - 51755*c - 51754*c) + c**5 + 2*c**5 - c**5.\nAnswer: 14*c**5 + 4176*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 8 + 8)*(-f + 4*f - 4*f)*(203 - 22 + 333) as w*f**2 + g + p*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 399379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 at most 262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.91 + 0.09. Which is the nearest to w? (a) 0.1 (b) -2\/5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 35 = 0, 3570 = 3*j - 393*n + 982*n - 830 + 268 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (430\/5160)\/((-5)\/(-12)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74823 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 17376236.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.485632ng to grams.\nAnswer: 0.000000000485632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 times 11.65?\nAnswer: -2.9125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f*u*x*y**2 + 3*f*u + f*x*y + f*y**2 - 5*u*y + 12*x*y**2 + 4*y**2 wrt x?\nAnswer: -3*f*u*y**2 + f*y + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222 - 127. Suppose -q + 5 = -6*h. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248080 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013033 - -2?\nAnswer: -10013031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22810303\/296 - -77062. Find the common denominator of 47\/555 and j.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjshsjr. Give prob of picking 1 j and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -27. Let d be (p - 3\/(-9)) + (-6)\/(-9). Suppose -4*r - 16 = -z, -z + 3*z + 3*r + 1 = d. Solve 19 = k - z*s, -25 = -k - 2*k + 4*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669 greater than 12.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26532\/7 + 3790. Let b(m) = -m. Let x be b(1). What is the second smallest value in s, x, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/9, 1, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5\/4, 7, 0.5, 6\/7, -16640?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.192 - 0.092. What is the nearest to u in -3, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/175 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71652804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/19 + 270*b\/19 + 1548\/19.\nAnswer: 2*(b + 6)*(b + 129)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/29328 and 37\/120.\nAnswer: 146640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**3 + 2*m**2 + 2*m + 1. Let f(v) = v**2 - 18*v - 20. Suppose h - 42 = -a + 39, a - 69 = -5*h. Let p = a - 65. Let g be f(p). What is b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10003 + -1232013?\nAnswer: -1302022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/48 and 41\/10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*x - 33, -3*h + 0*h = -x + 13. Let v be h\/(35\/2)*-32. Suppose -48\/7*l**2 - v*l - 16\/7*l**3 - 32\/7 - 2\/7*l**4 = 0. What is l?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*2\/(-16)*(73 - 17). Calculate the greatest common divisor of s and 950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6331293272 + 272?\nAnswer: -6331293000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194298.7ms to microseconds.\nAnswer: 194298700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 - o - 3. Let p be -6*(-2 - 10\/(-4)). Let h be x(p). Suppose u - 21 + 1 = h. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2*1)\/(-4 - -3). Let i be 6\/(-18) + (-1)\/(-1). Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 8*d**2 + 8*d - 6. Suppose -2 + 4 = -2*r. Let x(l) = 9*l. Let o be x(r). What is the units digit of g(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 663 = -705 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1219\/(-207) + (-1)\/9. Calculate the smallest common multiple of (320\/12)\/(1\/3) and -5 + 204\/18 + 2\/r.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*y - 1963*y - 2687*y + 284*y)*(-2*y**2 + 4*y**2 + 0*y**2).\nAnswer: -8990*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 7*k**2\/5 - 4*k\/5 - 3\/5 = 0.\nAnswer: -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(-82*d - 118*d - 48*d) to v*d + w and give v.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -51178c?\nAnswer: -511794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1741*d + 2677 wrt d?\nAnswer: -1741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 369712.400965 - 0.7?\nAnswer: 369711.700965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 3, -2\/17 in decreasing order.\nAnswer: 3, -2\/17, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -4*s + 4*w, -2*s = -3*w + 3. Let a = 0 + s. Let r be (-2 + a - -2) + 6. Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 4*x - 15\/2*x**2 + 345. Let a(i) = -4*i + 1. Give -9*a(u) + 2*k(u).\nAnswer: 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 59, 94, 129, 164?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**2 + 3 - 18*c**2 - 36*c**2 in the form i + v*c + w*c**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*u - 561*u = 95. Let r(a) = -3*a**3 - 2*a + 1. Let y(d) = -3*d**3 - d + 1. Determine u*r(t) - 6*y(t).\nAnswer: 3*t**3 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -33. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5278.137 + -5274. Let i = 4 - l. Let y = i + 0.198. Round y to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841424 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 262*252\/660240*(-890)\/(-4).\nAnswer: 89\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -317, -26, -16 in increasing order.\nAnswer: -317, -26, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/17)*d*d*d**(-5))**(-2\/95))**(28\/5) assuming d is positive.\nAnswer: d**(2744\/8075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/8 + 3)\/((-2)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*u - 10. Suppose u*r = 8*r - 10. What is the third derivative of -n**4 - n**r + 0*n**4 + 2*n**4 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4114 (base 16) in base 9?\nAnswer: -24761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(4\/3))\/b)\/(b*b**(1\/5)*b*b))**(-12\/5) assuming b is positive.\nAnswer: b**(112\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.85 + -7.85. Let d = -5.21 - -0.21. Put k, -2, d in descending order.\nAnswer: k, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 12*d - 10*d. Suppose -5*k + 20 = 5*b, 3*b - 7 = 10*k - 14*k. Calculate the greatest common divisor of b and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 2*a = p - 12*a + 7*a + 112, 0 = 4*a + 12 for p.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 37673556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 16070 + 16074 - 2*x - 32144. Let r(o) = -11*o**2 - o. Calculate r(q(m)).\nAnswer: -44*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 7\/5 in descending order.\nAnswer: 7\/5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -1*7*(11 + 156\/(-14)) and 1738?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283780 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 36*i - 86. Suppose 0 = 5*v + 5, 0*u + 2*v - 130 = 4*u. Let h be j(u). Calculate the highest common divisor of 169 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/33 - (-5)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5.8001433 - 11.19287\nAnswer: -16.9930133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 smaller than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, y: 1}. Give prob of picking 1 y and 1 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 78\/53?\nAnswer: 78\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahrpzhx. Give prob of sequence zzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5604737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92244959*p**2 + 127066107*p wrt p?\nAnswer: -184489918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 43, 182 in decreasing order.\nAnswer: 182, 43, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6627154?\nAnswer: 2, 3313577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - 10*o + 4. Let s be h(8). Let q = s + -173. Suppose -q = -5*y + 346. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = 6*s. Suppose -s*p + p = -6. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -15. Let f be a + -2 + -8 + 5. Suppose f = 2*u - 4*u + 4*j + 14, u - 11 = 3*j. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -85 + 95 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 15*d - 918. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 + 5*p**5 - 4*p**4 + 2*p**5 - 2*p**5 - p**5 + (-3*p + p + 3*p)*(-p**4 - 4*p**3 + 4*p**3) - 2*p**5 + 2*p**5 - 2*p**5.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -723*t**3 + 290*t**2 - 37*t + 9. Let o(q) = -361*q**3 + 145*q**2 - 20*q + 5. Let c(j) = -5*g(j) + 9*o(j). Find the third derivative of c(f) wrt f.\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 375.4765 kilograms?\nAnswer: 375476500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11988923 divided by -104\nAnswer: -11988923\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 23 (b) -1\/10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-9)*495\/(-1650)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25\/9 + 23\/9. Suppose 0*h + 3*h = 0. Suppose -z + 2*z = h. Is z at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -71*y**2 + 8. Let l(p) = 72*p**2 - 10. Let t be 3\/9*(-10)\/(50\/105). Let o(s) = t*v(s) - 6*l(s). Differentiate o(u) with respect to u.\nAnswer: 130*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-3 + 2)*-1. Suppose -l*a + 9 = -1. Let o(i) = 2*i + i - 7*i + 1. Give o(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131\/3 - -44. Let p(i) = 2*i**2 + i + 1. Let k be p(-1). Let u be -3 + 4 + -3 + k. Is j smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 406974*f + 2034867. Determine p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**2 + c + 75. What is the units digit of f(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -3 (c) 2\/125 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -2, 2.\nAnswer: -2, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.69 + -3.9. Round m to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3 - 8. Let f be (-1 + -1)*(-4)\/(-108). Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-24) - 2*(-69)\/120.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11075 = h + 11050. Sort 4, h, 85.\nAnswer: 4, h, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8812.278km?\nAnswer: 8812278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12004 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 39*r**2 + 55*r + 37. List the prime factors of i(-37).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 1, f: 2, h: 1}. What is prob of sequence ssm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 15, 2*s - 4*s = 3*n - 365. Let l = s + -46. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/28)\/(52\/182)*114\/240*4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*x**3 + 23*d**2*x + 3*d*x + 54*x**3 wrt d?\nAnswer: -4*x**3 + 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 17 - 2 = -3*o, 3*w - o - 13 = 0. Solve -2*p + p - w*y = 0, y = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183469\/62298 + 2\/3461. Calculate the common denominator of 73\/2 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2. Let f(z) be the third derivative of z**4\/8 - 257*z**2. Determine q(f(s)).\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + (-50176)\/(-8360))\/(-2). Let x = 10471\/21945 + u. Let d = -3839\/6 + 2593\/4. Find the common denominator of d and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.127.\nAnswer: 0.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1206\/(-1005))\/((-1)\/280). Let b be (-9)\/4*(-16)\/6. Suppose -b*l = -4*l - c. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923.09 months in years?\nAnswer: 410.2575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(-9) + (-6)\/54.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/635, 0.4, -9\/16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*h + 3*h. Let i be 6\/(h - 0) - -8. Solve 5*o = -i - 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4481 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1)*(-4)\/6*-139. Suppose -284*q + a*q = -1698. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996.22 weeks in microseconds?\nAnswer: 602513856000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80770732 or 80770731?\nAnswer: 80770731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -638355*u**4 - 500357*u**2 wrt u.\nAnswer: -15320520*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130275 or 130169?\nAnswer: 130169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x + 5 = 20*x. Let a(j) = -j**2 + 3*j + 3. Give a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406 + 75*m**3 - 120*m - 35*m**2 + 138 + 192 + 176 - 20*m**4 = 0.\nAnswer: -5\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1026*f + 126612. Determine r(-123).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -13\/3*r + 2*r**2 - 14 + 1\/3*r**3 = 0.\nAnswer: -7, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 2414\/(-102))*(-3 + -14*(-12)\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3364*-0.4.\nAnswer: 1345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:41 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p**2. Suppose -3*w = -q - 8 - 6, -5*w = 6*q - 31. Let x(a) be the third derivative of 0*a - 1\/12*a**4 + 0*a**3 + 0 + w*a**2. Calculate t(x(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -2\/39 (b) 0.2 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1 (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 3, 2, 84, -18 in increasing order.\nAnswer: -18, 2, 3, 84, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/30*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/8 - 71583*j\/8 + 53612295\/4.\nAnswer: 3*(j - 22255)*(j - 1606)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.512 - 0.961. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 324*p**2 + 46448*p - 430080.\nAnswer: -2*(p - 84)*(p - 10)*(p + 256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(((-3160)\/(-316))\/((-7)\/((-35)\/50)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2\/5*h + 8\/5*h**4 + 0 + 2*h**2 - 16\/5*h**3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skgbe. Give prob of sequence bksg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678, 1371, 2054, 2721, 3366, 3983, 4566, 5109?\nAnswer: 5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 553 and 4661.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -b + 3*b - 5, r - 4*b = -7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)\/q)\/(q*q**1)*(q*q*q**(3\/4)*q)\/(q*q*q**(-13)*q*q*q) assuming q is positive.\nAnswer: q**(307\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -19\/5, -1\/2, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4560 and 690992.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 413 and 0.2094816?\nAnswer: 86.5159008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -5*j**4\/24 + 11*j**3\/2 - 62*j**2. Give i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45450000 = -3*w + 12*w. Round w to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = u - 2. Find the second derivative of r - 51 + 16*r**4 - u*r + 51 wrt r.\nAnswer: 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*q - 54*q - 59*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let y(b) = b**3 - 4*b**2 + b + 1. Let t be y(4). Let p(w) = 3*w**2 - t - 2 + 7. Calculate p(k(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10)*3*5) - (sqrt(175) - (-1*(sqrt(175) + 1*sqrt(175)) - sqrt(175)) - sqrt(175)).\nAnswer: -224*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -0.25.\nAnswer: 8.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -161. Suppose 66 - c = -4*v. Calculate the smallest common multiple of v and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0*y**5 + 0*y**3 + 0 - 1\/70*y**6 + 0*y**2 + 1\/28*y**4 - 5*y. Solve q(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2679513*p**3 - 6620930 wrt p?\nAnswer: -8038539*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.7 (b) -34 (c) -0.3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) 2 (b) -0.2 (c) -2.3 (d) -7 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + (-3*sqrt(147) + sqrt(147) - sqrt(147)) + -1)**2*3 + -3 + 3*(-1 + sqrt(3) + 3) + -1.\nAnswer: 87*sqrt(3) + 1769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d - 3 = 0. Let s be 2*-1*d\/(-6). What is the greatest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2027762 and -3.\nAnswer: -3.2027762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2 + k - 6. Determine s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -15. Suppose -5*x + 4*z - 49 = a, -5*x + 0*z = 2*z + 73. Which is greater: -11 or x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -357 + 646. Suppose -p + 817 = 22*r. What is the greatest common factor of 180 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/60 + f**4\/12 + f**3\/6 + 3*f**2. Suppose -2*r - 2*r - 4*p - 20 = 0, 25 = -5*r - 4*p. What is the tens digit of s(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((4\/8)\/1). Suppose -5*q - 17 = -n + 6, -202 = -5*n - 4*q. What is the remainder when n is divided by 148\/10 + c\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669.228mg to micrograms.\nAnswer: 669228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/7))**45 assuming d is positive.\nAnswer: d**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 1003129\nAnswer: 57\/1003129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8676835, -17353663, -26030483, -34707295, -43384099, -52060895, -60737683?\nAnswer: -69414463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g - 55*g + 307450 = 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 88?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1025057.534 times 0.5\nAnswer: 512528.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 210, -2 in ascending order.\nAnswer: -3, -2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (0 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 1125\/120)\/(3\/24). Let t(z) = -z**2 - 6*z - 3. Let n be t(-4). Suppose n*f + 600 = l*f. Is f a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 10, 23, 38, 55, 74?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and -17854886.\nAnswer: -17854886.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = 3*b - 14*j - 14, -2*j + 6 = b. Suppose b*v - 4*n - 252 - 1430 = 0, 2*n + 2539 = 3*v. List the prime factors of v.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-32 + (3 - 1)). Suppose -m = -4*a - r, -3*r = -5*a - 2 + 31. Calculate the remainder when (54\/4)\/(-1 + 21\/14) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-318)\/(-14))\/3)\/(435\/137025*-45).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -19*a**3 - 48*a**2 + 12*a - 16. Let q(m) = -38*m**3 - 84*m**2 + 21*m - 31. Calculate -7*b(t) + 4*q(t).\nAnswer: -19*t**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -7. Suppose q - 4*q = -3, 3*q = h + b. Calculate the remainder when h - (-4)\/(8\/6) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g\/g**(-7))\/g)\/g)\/g))\/(g*g**(-1\/2)))\/(g\/g**(-4\/13)*g*g**(-11)) assuming g is positive.\nAnswer: g**(109\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -33. Let n = t + -6. Calculate the lowest common multiple of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - t = 3 - 6, 3*p - 9 = -3*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24, -0.04, 0.2, 5, 3, -28 in ascending order.\nAnswer: -28, -2, -0.04, 0.2, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/18))\/m*m)\/m*(m\/(m*(m*m**(10\/9))\/m))\/m*m**2*m*m*m\/(m\/(m*(m**(-18\/13)*m*m)\/m))*m assuming m is positive.\nAnswer: m**(833\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289112155, 578224308, 867336461, 1156448614?\nAnswer: 1445560767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78708 by -2.\nAnswer: -39354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3421753688 to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7023277\/47886 + -1\/15962. Let y = a - -267083\/1821. Let l = 49157\/6070 + y. Find the common denominator of l and 41\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 132, 587, 1376, 2505, 3980?\n\"Answer: p**3 + 161*p**2 - 35*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3553615 divided by 13?\nAnswer: -273355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1014 (b) -1\/50 (c) 0.2 (d) -0.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 10*h**2 + 16*h + 7. Let p be y(8). Suppose 2*x - 183 = -3*k, x + 2*k - 59 = p*k. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 593.16 to the nearest integer.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and -2429363.\nAnswer: -128756239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-7)*(g**(-4))**(-7) assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((4\/(-56))\/((-5)\/(-15)))\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102744 rounded to five dps?\nAnswer: 0.01027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42507589?\nAnswer: 277, 153457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjpjj. Give prob of sequence jp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-1\/7)*u))*(u\/u**(2\/35))\/u)**12 assuming u is positive.\nAnswer: u**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35973 - 47714 = 199*u for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4967 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.4 - -30. Let q be ((-6)\/9)\/((-2)\/(-201)). Let y = q + 200\/3. Which is the second smallest value? (a) y (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*4*-3*sqrt(245))**2 - (6*(((-1*sqrt(245) - sqrt(245)) + sqrt(245) + sqrt(245))*-3 + sqrt(245)))**2) + 4.\nAnswer: 132308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 885 and 195880.\nAnswer: 587640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oorr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = s - 3, -4*g - s = 45. Let f be (12\/15)\/((-4)\/g). Suppose -f*j + 10 = 8. Calculate the smallest common multiple of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23724 by 4.\nAnswer: -5931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1787 and 4?\nAnswer: 7148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-246)\/(-24) + 3\/(-12). What is the greatest common factor of p and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1838 + 0.043321745691\nAnswer: -1837.956678254309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/24 + 14\/3. Solve r + 25 = -p*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.07, -1.375, -1, 0 in increasing order.\nAnswer: -1.375, -1, 0, 1.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -6*x. Let u = x + 5. Let k(f) = 3*f + f**3 - 4*f + 2 - f - 3*f**2. Determine k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30000400 rounded to the nearest one hundred thousand?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -3 - -58*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 183*i - 178*i + 2*l, 2*i + 16 = 4*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 922*a**3 - 27*a**2 - a - 7. Let h(x) = -307*x**3 + 8*x**2 + 2. Calculate -7*h(v) - 2*s(v).\nAnswer: 305*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736408107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/27 and -8\/6669.\nAnswer: 6669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + u + 9*u = 110, -3*u + 573 - 540 = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3184735 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29363557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*c + 132*c + 28*c**2 + 83*c - 298*c.\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332619 is divided by 166289.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3929*h**2. Let d(r) = 3*r**2. What is m(d(w))?\nAnswer: -35361*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -760? (a) -0.1 (b) 0.15 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 11*h = -16*h + 3, -5*v + 21*h = -15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*u**2 - 10607*u**4 + 54*u**2 - 42 + 7*u + 2351*u**4 + 176 - 5309*u**4 wrt u.\nAnswer: -325560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**3 + 138872*s**4 - 4*s**3 - 2*s - 1 - 138920*s**4 as l*s**2 + u*s**4 + c*s + j + x*s**3 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by 40\nAnswer: 89\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 9:34 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-15)*(6 - 1). Suppose 0 = t*w - 5*w. Solve 4 - 9 = 5*s, w = 5*p - 2*s + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3649474 divided by 1824737\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from xbczq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 1551450*a + 120349855125.\nAnswer: 5*(a + 155145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3416325 and 381780?\nAnswer: 860913900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 305160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -26?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -104, -114, -122, -122, -108, -74?\n\"Answer: k**3 - 5*k**2 - 2*k - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let s be k(-5). Suppose 0 = -3*z - 4*x + 1, 5*x + 1 = -3*z. Suppose -z*h + 10 = -a, 4*a - 4*h + 22 = -h. Put s, 3, a in descending order.\nAnswer: s, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 12*c**2 + 36*c + 33. Let r be z(-8). Let d(t) = 28*t - 2. What is d(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 5*n + 5. Let d(j) = j**2 - 2*j + 2. Let h(k) = -5*d(k) + 2*v(k). Let u(b) = -3*b. Calculate u(h(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14 - 6*l - 1\/2*l**2.\nAnswer: -(l - 2)*(l + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -69. Let f = -89 - m. Let j = 57.000079 + f. Round j to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248.9 + 283. Let h = m + -34.11304. What is h rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 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: Sort -2, -7, 31, 0 in ascending order.\nAnswer: -7, -2, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 24.4.\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -243*a**3 - 2*a**2 - 48*a - 77. Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -34\/33001679 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-18)\/(-16)))\/((-1)\/((-3)\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:26 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 - -304. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 386386.6 - -194.\nAnswer: 386580.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 - 10 - (0 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -43*f - 5. Let b(l) = 214*l + 26. Determine 3*b(o) + 16*r(o).\nAnswer: -46*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 66.11. Let d = 0.89 + w. Which is smaller: d or 22\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154096 is divided by 48.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:24 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 235 - 96. Suppose 4*z = h - 43. Let b = 27 - z. Solve -11 - 4 = -b*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 26. Solve -2*c + 5*j = 2*c - 36, -5*c = y*j - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))\/(a\/(a*a**(-2))))**(-50) assuming a is positive.\nAnswer: a**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {l: 1, h: 4, b: 2, i: 2, t: 2, r: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) -3\/7 (c) -2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 7}. What is prob of picking 1 r and 1 n?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*d - c + 17 = 0, -3*d + 4*c = -24. Let a(j) = 2*j + 1. Let y be a(d). Suppose -2*v = 2*v - 5*b - y, 0 = -v + b + 3. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 33.6.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -19*g - 2. Suppose -1420 = 21*m - 31*m. What is the remainder when m is divided by d(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 16685806?\nAnswer: 166857a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + 8 + -4. Suppose 28 = j*r + 3*y, -16 = 2*r - r - 5*y. Solve r*q = 2*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -71, 25, 0, -3 in decreasing order.\nAnswer: 25, 1, 0, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45\/11 + 48\/11. Let w be (42\/(-77))\/(612\/(-1122)). What is the nearest to w in z, -3, -1\/2, 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 1. Let h(k) = -5*k + 6. Let n(g) = h(g) + 6*j(g). Let r(f) = 5*f. Determine n(r(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-2*a**2 + 0 + 0) - 4 - 28 - 367*a - 69*a**2 + 34*a**2 + 36*a**2.\nAnswer: 3*a**2 - 367*a - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 2*p + 5*h + 15 = 0, -2*h - 6 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*q - 5*q + 2 = 0, 0 = 3*q + 6. Suppose 4*x = b*v + 6*x + 6, -3*v + 3*x = 9. Put -1, v, -5 in ascending order.\nAnswer: -5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.61728 times 65\nAnswer: 105.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10476195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*f + 4 = -18, 0 = -l - 4*f - 14. Suppose -2 = m + t, 4*t = -m - l*m - 10. 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 ((-10)\/35)\/((-27)\/(-21)*-21*20\/(-230580))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120 and 26.4.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*q - 172, -q - 2 = -z - 45. Let u = q + -28. Solve -u = -17*k + 20*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {w: 2, s: 2, l: 2, n: 1, x: 1, e: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/(r*r**(-4)))\/((r\/(r\/(r**(3\/2)*r)))\/r**(-2)))**(-13) assuming r is positive.\nAnswer: r**(195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -38160399*x. Let l(z) = 2*z. What is l(t(u))?\nAnswer: -76320798*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96535 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/9, 5, 2\/5, -27?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23178 is divided by 1776.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, 213, -6, -2, 4 in decreasing order.\nAnswer: 213, 17, 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) 5 (c) -7\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*z - 36 - 42 = 0, 2*x + 2*z - 132 = 0. Calculate the smallest common multiple of 1\/4 - 27\/(-4) and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 35*z**2 + 25*z + 25. Let s(w) = 3*w**2 + 2*w + 2. Determine 6*q(c) - 75*s(c).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*f + 38, 51*j + 42 = 52*j + f. What is the remainder when 65 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-475 - -486)*(-22)\/(-2). Is 123 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5368415 * -0.9.\nAnswer: -4831573.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5092062*r**4 - 2*r**2 - 100*r + 7*r**2 - 5092087*r**4 wrt r?\nAnswer: -600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032415 times 480?\nAnswer: -15.5592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24*(-30)\/270*6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -714 + 718. Factor 4\/5 + 64\/5*v**2 - 2*v**5 + 44\/5*v**x - 26\/5*v - 76\/5*v**3.\nAnswer: -2*(v - 1)**4*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 513. Let x(h) = -2*h - 4. Calculate x(t(c)).\nAnswer: 2*c**2 - 1030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.12, 38, -2, 0.4, -1\/150?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.04 (c) 4 (d) -3 (e) -0.1 (f) 55 (g) -822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruruuuuururrruur. Give prob of sequence rru.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 366, 462, 558?\n\"Answer: 96*c + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -17. Suppose -i*f + 204 = -11*f. What are the prime factors of ((-28)\/(-3))\/((-34)\/f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 - 219972527*b + 36662088.\nAnswer: -(b + 36662088)*(6*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 + 3*t. Let p be v(-3). Let l be ((-438)\/42 - -11) + 20\/14. Sort -93, p, -4, l in decreasing order.\nAnswer: l, p, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(135))\/sqrt(5) + (sqrt(108) + (sqrt(108) - -6*((sqrt(108) - -3*sqrt(108)) + sqrt(108)) - sqrt(108)))**2 + -5.\nAnswer: 15*sqrt(3) + 103783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1216 - 1147.9. What is k rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 3*d**2 + d + 3. Let k be n(4). Are -11 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 364. Suppose t = -4*i + 51. Let b(n) be the second derivative of n**4\/3 - 2*n**2 - n. Let g(v) = -7*v**2 + 7. Determine i*b(p) - 6*g(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n**2 + 8*n + 4. Let r(o) = o**3 - 2*o**2 + 9*o + 5. Let z(j) = -6*p(j) + 5*r(j). Is z(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:37 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/3773 - -200001\/60368. Let t = -273 - -165. What is the common denominator of a and (114\/t)\/(3\/9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22023?\nAnswer: 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 966481 (base 12) to base 11\nAnswer: 1382371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 771 + -769. Factor -1\/3 + 1\/2*j - 1\/6*j**x.\nAnswer: -(j - 2)*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -106, 0, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128013801*g**4 - 67634140*g.\nAnswer: 1536165612*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41.22 greater than 0.928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 412 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1081051, -1081045, -1081029, -1080997, -1080943?\n\"Answer: c**3 - c**2 + 2*c - 1081053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 3:03 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + -32?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 118316 = -o, -118312 = -28*f + 23*f + 3*o. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/21 and 149\/108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01013 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39310 - 1966. What are the prime factors of z?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 17*j**2\/2 - 6*j + 1. Let l(z) = -3*z + 30. Let n be l(9). What are the prime factors of g(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 + (-328)\/28. Let r be 6\/9 + 26\/j. Which is the third biggest value? (a) r (b) -0.5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 32*f**2 + 50*f + 487. What is h(-33)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.383649l to millilitres.\nAnswer: 7383.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {r: 7, a: 5, h: 2, u: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 - 4*l**2 - 2*l**2 + (1 - 1 + l**2)*(-21 - 40 + 5)*(-4 + 2 + 3).\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from iiiababbbbbivbivv.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508758769 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 4*w**2 - 5*w + 11. Let f be p(3). Solve f - 44 = 6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 16. Let u = 61 + -59. Which is the nearest to u? (a) n (b) -2\/7 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -0.4, 0.07, -0.08, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 5*m + 7 - 18 - 2*m**2. Is h(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 23*r**2 - 2*r. Let p(q) = -19*q + 6*q + 4*q + 3 - 3. Determine p(d(m)).\nAnswer: -207*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)*t\/(t*t*t*t**0)*t)**(-6\/25))**34 assuming t is positive.\nAnswer: t**(68\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 933659187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from {z: 2, f: 10, a: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.142 + 44.342. Let s = w - 44. Which is the second smallest value? (a) s (b) -0.2 (c) -2.4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10507.\nAnswer: 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11112*w**2 - 5554*w**2 - 5558*w**2 - 2*w**3 + 139*w to the form j*w**2 + q + t*w + i*w**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15402 + 45098 = 116*g. Is 256 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 17*i - 13. Calculate the remainder when 229 is divided by s(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*w**(6\/17) assuming w is positive.\nAnswer: w**(74\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-20))\/((-1)\/4). Is 7 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 2*q**2 - 2*q - 225. Suppose 5*t + m - 2 = 0, 3*t - 6 = -t - 3*m. Let x be s(t). Let n = 434 + x. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -989645.872 - -419115.078. Let j = b - -570530.041999503. Let w = j + 0.752. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at least -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -13\/164?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + 4*j + 2. Let u be z(2). Let x be (-1 - 1)\/(-2) + -3. What are the prime factors of 4\/u - -21 - x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00079 - -0.10079. What is the nearest to -2\/5 in 5\/4, h, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57, 3 in decreasing order.\nAnswer: 3, 1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26103776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0154241 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**5 + r**3 + 9*r**2 - r. Let k(f) = 2106*f**5 - 5*f**3 - 3573*f**2 + 5*f. Let l(v) = 5*h(v) + k(v). What is the third derivative of l(w) wrt w?\nAnswer: 126060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 470*i + 4683. Give p(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6275642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((80\/(-140))\/((-2)\/(-7))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 0 + (-2 - -593). Let n = -269 + l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3678.298ml to litres.\nAnswer: 3.678298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/55*3\/(-2). Which is the second biggest value? (a) x (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 0.2, 0, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3560583316.3490912 + -1086660199.3491318. Let t = b + -2473922663. Let z = -454 + t. What is z rounded to 6 dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:21 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1958 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13490687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -534867*h**2*k - 60949*h**2 - 2*h - 1 wrt k.\nAnswer: -534867*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 99 and 207551.6591.\nAnswer: 207650.6591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1244 (base 10) to base 7\nAnswer: -3425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1051208961.6 to the nearest 1000000.\nAnswer: -1051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -7. Suppose -44 = -l*y + 4*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times 187955.9\nAnswer: -46988.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7064*c**3*h**3 - 2*c**3 + 34*c**2 + 2*c*h**3 - 45*h**3 wrt c?\nAnswer: 42384*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*o - 85, 4*h + 46 = 2*o - 0*h. Suppose 26*i - o*i - 530 = 0. What is the remainder when i is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 25. Let t = 2\/1085 - -83537\/4340. Find the common denominator of 10\/6*70\/v and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 + 1.9. What is the closest to 0 in 2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**3 + 8*c**2 + 6*c + 5. Calculate y(-3).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n**2 - n. Suppose 7*j = 4*j - 3. Let l(v) = 24*v**4 - v**3 + v**2 + v - 20. Let o(f) = j*z(f) - l(f). Differentiate o(r) with respect to r.\nAnswer: -96*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1448*b + 3120 = -1438*b. What is the highest common divisor of b and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*l + 3*l**3 + 154*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959067923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/11 + 8040*j**3\/11 + 8309996*j**2\/11 + 461889960*j\/11 + 6600775202\/11.\nAnswer: 2*(j + 29)**2*(j + 1981)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13966 + 22447. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -15*x + 149. Determine k(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. Solve p - 2*p - 4 = x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.039, -3, 13, -2701 in decreasing order.\nAnswer: 13, -0.039, -3, -2701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 849 - 495. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 32) + 35 - 32?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-3 - (-12)\/4). Let g(l) be the third derivative of l**5\/5 - l**4\/24 - l**3\/6 - l**2. Is g(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 82. Solve -i = -3*l + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1565 - -1571. Suppose -4*o - 6 = -2*l, 5*l + 13 + 5 = -o. Let i be l\/((-2)\/4 + 0). Calculate the greatest common divisor of i and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 4*l**2 + 4. Let n be f(2). Suppose n*o + o - 4*d = 26, -20 = -2*o + 4*d. Let h = -17 + 10. Sort -3, o, h in ascending order.\nAnswer: h, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (30 - 68) - -24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, y: 3, c: 2, s: 1, v: 2}. Give prob of picking 1 v and 2 y.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/10)\/((-7)\/280) is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from {c: 3, u: 1, k: 7, v: 4, d: 4}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3522372 to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5902 divided by -4677?\nAnswer: -5902\/4677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 2*m - m + (4 + 3 - 5)*(m + 2*m - 2*m) + m - 4*m + 5*m - 67*m - 67*m - 95 + 130*m in the form l + z*m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 32*p**2 + 27*p - 127. Let m be i(-31). Let s be -7*-4*1\/14. What is the fourth smallest value in m, 1, 2.1, s?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**3 + 7*s**2 - 4. Let m(o) be the first derivative of 4*o**4 - 11*o**3\/3 + 6*o + 53. Calculate -8*b(a) - 5*m(a).\nAnswer: 8*a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:53 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let o be 2\/9 + 29\/(-9). Let z(q) = -6*q + 8. Let p(d) = o*i(d) + z(d). Let m be p(-9). Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5 + 5 - f. Let v(x) be the first derivative of 0*x + 235 + 5\/2*x**2. What is r(v(p))?\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-24)\/8)*-1. Sort q, -78, 2, 4 in decreasing order.\nAnswer: 4, 2, q, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 11*t - 3*t**2 - 3*t**2 + 5*t**2 - 2. Let r be s(-7). Let a(b) = b + 2. Let k be a(-2). Put k, -1\/2, r in ascending order.\nAnswer: -1\/2, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 3*k + 2*k + (7*k - 3*k - 2*k)*(0 - 4 + 2) + (-5 - 9 - 2)*(4 + k - 4).\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 62*y**2 - 372*y - 681. Is c(-37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13323, 26716, 40109, 53502, 66895?\n\"Answer: 13393*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -8 + 29. Let n(w) = -w. Let p(k) be the first derivative of 2*k**3\/3 - k**2\/2 - 4*k + 1. Let f(v) = -n(v) - p(v). What is f(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 8 = -9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900327?\nAnswer: 11, 13, 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-66)\/(-10))\/(1\/5). Suppose -y = -0*s - 3*s. What is the least common multiple of s and (6\/(-15))\/((-1)\/5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -115*g + 1515. Let l be n(16). Sort l, 2, -1 in descending order.\nAnswer: 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93624*m - 143609 with respect to m.\nAnswer: 93624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 2*u**2 + 2195634 - 2195853.\nAnswer: -3*u**2 - 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/9))\/(j**(-12)\/j*j*j))**(-22)\/((j*j\/((j*j**7)\/j))\/(j*(j**(3\/2)\/j*j)\/j))**(-3\/2) assuming j is positive.\nAnswer: j**(-10031\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 + 10?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3\/2, 0.5, -1479, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4159877, 8319747, 12479613, 16639475?\nAnswer: 20799333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81262836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*w**3 - 23*w**3 - 68*w**3 - 31*w**3.\nAnswer: -194*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13)\/r)**(5\/6) assuming r is positive.\nAnswer: r**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -298, 2 in descending order.\nAnswer: 3, 2, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = t + t. What is the common denominator of -30 and 511\/21 + 2\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by -3.\nAnswer: 158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291 + -278. Let j(p) = -18*p + 40*p - 1 - y*p. Let v(c) = 2*c**2. What is v(j(w))?\nAnswer: 162*w**2 - 36*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 3. Let r be p(-2). Which is the nearest to r? (a) -4\/5 (b) 1\/4 (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 12 = -19*q. Suppose 5*s + d - 219 = 0, 0*s - q*d - 113 = -3*s. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 55960\/553 and 101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8966*o**2 + 52*o + 52. List the prime factors of x(-1).\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 + 15*l**2 + 11*l**2 - 36*l + 30*l**2.\nAnswer: 43*l**2 - 36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -21. Let d be (-4)\/6 + 26\/(-6). Put d, w, 5 in decreasing order.\nAnswer: 5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 4*y)*(-y**4 + 0*y**4 + 0*y**4) + (-4*y + 0*y + 5*y)*(5 - 5 - y**4) + (3*y - y - 4*y)*(-5*y + 5*y + y**4) - 2*y**3 + y**5 + 2*y**3.\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = 33*w + 12*w - 220220. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1134880 and -53\/5412?\nAnswer: 37451040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31323 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -170418 divided by 28403?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1236, -424, -3170, -7008, -11944, -17984, -25134, -33400?\nAnswer: -42788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/446 - -4175\/25422. Let g = -3480\/19 - -183. Let n = y - g. What is the second biggest value in -5, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*v + 37 = -5*v, 0 = 11*c - v - 146 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146260002 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 third smallest value in -1\/283, 0, -0.5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116188571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 1, z: 1, h: 1, o: 1}. Give prob of sequence no.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2266 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 2*i + 261 = 0, 0 = 5*s + 152*i - 153*i - 72 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1551, 913, 275, -363, -1001, -1639?\n\"Answer: -638*i + 2189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6*r = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100011 - -101?\nAnswer: -10000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (-1 + 1) - (-18 - -20). Let a be (0*(-1)\/2)\/((-2)\/z). Sort -4, a, 2 in decreasing order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - 2*sqrt(192))**2 - 4*(sqrt(27))**2) + -2 + -5*(4 + sqrt(3)*1*-5).\nAnswer: 25*sqrt(3) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17411 divided by -5?\nAnswer: 17411\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 5, m: 5, k: 3}. What is prob of picking 2 x, 1 c, and 1 m?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -5, 0.4, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15281525, -30563031, -45844535, -61126037, -76407537?\nAnswer: -91689035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -881 = -37*p + 969. Calculate the least common multiple of 430 and p.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8268*x**2 - 21120312*x**5 - x**3 + 5*x**4 + 21120364*x**5 - 5*x**4 wrt x?\nAnswer: 3120*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2659620 and 113\/1633100?\nAnswer: 93086700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3 - 9 - i + 0 + 10. Let v(t) = 2. Give -2*l(s) - 3*v(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3826003, 3825998, 3825993, 3825988, 3825983, 3825978?\nAnswer: 3825973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7371888*m**2 - 2*m + 12464230 wrt m?\nAnswer: -14743776*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 90 (b) 3 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**2 - 7*v + 5. Let i(r) = -14*r**2 - 11*r + 8. Determine 5*i(p) - 8*n(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000443007231 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-47)*(t\/(t\/(t*t*t\/t**(1\/2)*t))*t)\/(t*t\/(t**6*t))*(t*t\/(t**(-1)*t))**(3\/8)\/(t**(-1\/10)*t**2) assuming t is positive.\nAnswer: t**(1441\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1000000111 (base 2) to base 14\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/2 - 416\/(-78). What is the nearest to 2 in -0.1, f, -11\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.05 - 7. Let m = 0.05 - j. Is -13 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 - 2*t**2 + 2*t**2 + (-3*t**4 + 2*t**4 + 3*t**4)*(-68 + 68 - 10*t) + 2*t**5 - 4*t**5 + 0*t**5.\nAnswer: -26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + t)*(3 - 3 - 2*t**2) + 0*t**2 + 2*t**3 + 0*t**2 + 3*t**3 + 3*t**3 - 2*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 21*b**4\/8 - b**3\/6 + b**2. Let x(g) = g**3 - 10*g**2 + 23*g - 10. Let r be x(7). Is z(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 22*h**2 + 22*h + 16. Let o be w(-21). Sort 4, 5, o, 10 in descending order.\nAnswer: 10, 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.16. Let o = 10.84 - w. Is o smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*a = -278*a + 122*a - 2448 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-9108)*23*(-774)\/20?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5580\/(-21762)*3\/(-5)*(-1)\/3.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 - 1. Let j be q(1). Suppose -2*d + 3*z + 26 = 0, 2*d + 0*d - 34 = 5*z. Let t = 11 - d. Calculate the greatest common factor of j and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -11?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -29*t + 151 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.6 (b) -93 (c) 23 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9 = -2*n. Suppose -11 = n*b - 32. Calculate the remainder when 19 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3755 - 3823.99. Let k = -69 - f. What is the closest to k in 0.1, 2, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 2 = 5*s. Let w = s + -31. Let q be 3*1*(-624)\/w. Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 1, z: 1, l: 1, s: 1, p: 1}. Give prob of picking 1 p and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 + 52*p**3 - 6*p**4 - 2 + 7*p**4 + 3 + 10*p**2 wrt p?\nAnswer: 24*p + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62936577 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5+-31784079226\nAnswer: -31784079221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/7 - 94*q**4\/7 + 194*q**3\/7 - 14*q**2.\nAnswer: -2*q**2*(q - 1)**2*(q + 49)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-10315045313\nAnswer: -10315045312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*i - 0*l - 102, 0 = -2*l - 6. Let k(b) = -i*b + 48*b - 29*b. Let x(z) = -102*z + 2. Give x(k(h)).\nAnswer: 204*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3 - n + 2*n - 10. Let j(v) = v**3 - 2*v**2 - 3*v. Let f be j(3). Suppose f*a = 4*a. Give l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4918801 to the power of 1\/2, to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13925670 and 855.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.023687 and -3608.\nAnswer: -3607.976313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 74 = -4*l, -71 + 29 = -2*l + 5*y. Calculate the remainder when 556 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1048 - -1051) + 2*((-18)\/(-4) - (5 + -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.7, -18, -1365?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from iidi?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -29 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p*p**43)*p)\/p))\/(p*p\/(p\/(p\/((p*(p\/((p*p**(-32))\/p))\/p)\/p)))*p))**(-17) assuming p is positive.\nAnswer: p**(-1258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 + 2 = -3*v, -2*i + 2*v + 2 = 0. Sort i, -0.5, 2\/15 in decreasing order.\nAnswer: i, 2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(((-77)\/286)\/(-7))\/(2\/72)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 953785*h**2. Let c(t) = 5*t. Determine a(c(i)).\nAnswer: 23844625*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3) + 7 + (1 - 2). Factor -9*q**2 - 6*q**k + 9*q**4 + 6*q**3 + 12*q**2.\nAnswer: 3*q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*r - 22, -2*l = 3*r + 3*l + 1. Suppose r*o - 19 = 14. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2613165 divided by 522633.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/25*-5*(-80)\/(-6). Let j = 26 + -22. Calculate the highest common divisor of j and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**5 + 8*d**4 - 8*d**3 - 4*d + 4. Let m(g) = -15*g**5 - 129*g**4 + 126*g**3 + 63*g - 63. Let h(k) = 63*i(k) + 4*m(k). Factor h(q).\nAnswer: 3*q**4*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = 3*m. Suppose -5*b + u = -3*b - 183, 185 = 2*b - 3*u. Suppose -b - 59 = -m*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-2\/55))\/(a*a\/(a*(a\/(a\/a**9))\/a)))\/(a**8*a*a*a**(-6)) assuming a is positive.\nAnswer: a**(277\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -1305, -2927, -5195, -8109?\nAnswer: -11669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 55172?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 + 5*g - 5. Let h be b(4). Let a(k) = k**3 + 6*k**2 + 3*k - 5. Let p be a(-5). Suppose 4*i + p = -3. Which is greater: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:58 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 717091.1 + -116094.1. Let z = j - 601028.9931. Let x = z - -32. Round x to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msm when three letters picked without replacement from ssmssssssms?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 68. Let a(z) = -z + 26*z + 7*z - 24*z. Determine a(t(w)).\nAnswer: -24*w**2 - 544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -36?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294436233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k - 23. Let f(j) = 7*j - 11. Let g(i) = -7*f(i) + 3*w(i). Let u(y) = -y + 1. Let d be u(5). Is 9 a factor of g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:47 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/2925)\/(1\/(6 - (-2 + 3)))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 92.0285ml in litres?\nAnswer: 0.0920285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 + 9*f - 24. Suppose -106 = -6*p + 4*p. What is the remainder when p is divided by j(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {b: 4, g: 1, k: 6}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 times 852?\nAnswer: -6730.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.254763947 to three decimal places.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v. Let i(r) = -r. Let g(l) = h(l) + 4*i(l). Let k(d) = 8*d**3 - 1. Let q be k(1). Let z(b) = -3*b**2 + q*b**2 - 2*b**2. Calculate z(g(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {i: 1, p: 6, h: 7, o: 2, e: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.96807 decades to months.\nAnswer: 1796.1684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3*p + 6. Let w be t(5). Let v be 1\/(-2)*2\/(-3). Let r = 0.23391 - 0.63391. What is the second smallest value in 0, v, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/861 and 71\/27.\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560364 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(176) - sqrt(176)) - sqrt(176) - ((sqrt(176) - (3 + sqrt(176))) + sqrt(176) + sqrt(176) + 1))**2.\nAnswer: -392*sqrt(11) + 8673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.81 - -8.19. Suppose -22 = 3*t - 4*k, -3*k - 7 = t - 17. Which is the closest to t? (a) l (b) 0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 46611, 0.153, -0.4.\nAnswer: -0.4, 0.153, 0.5, 46611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(2448) + -1 + 1 + -1.\nAnswer: -1 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (11 - 0) - 3) + -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17\/(459\/(-252)))\/(4\/(-6)). Suppose 4*m - 5*x - 72 = 0, h = 2*m + 2*x - 4. What is the highest common factor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/9)\/i)**(2\/13)\/(i**(1\/6))**(-41) assuming i is positive.\nAnswer: i**(1579\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-10)\/(-15). Let t = -0.45 - 1.55. Let v = 237 + -256. Which is the closest to 0? (a) v (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 37 + 355*a**2 - 16.\nAnswer: 355*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(5) - (2 + sqrt(320)))*6 + 4 + 1.\nAnswer: -30*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42.6 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 945 and 609.\nAnswer: 27405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -1. Let b = -38 + 26. Let f be (-16)\/(-6)*18\/b. Sort f, p, -0.4 in decreasing order.\nAnswer: p, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1940)\/2716)\/((-10)\/756)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164030?\nAnswer: 2, 5, 47, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*f - 26. Let j(l) = -4*l + 2. Let m be j(4). Put m, f, 3, -4 in increasing order.\nAnswer: m, f, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 16364 + 730 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181746.42 months in centuries?\nAnswer: 151.45535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {r: 13, l: 3, p: 1, q: 1, b: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14705.\nAnswer: 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -170, -410, -776, -1286, -1958?\n\"Answer: -3*n**3 - 36*n**2 - 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 614 + -10066?\nAnswer: -9452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -0.039 (c) -1\/3 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 15*t = -13*t - 306 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044666480 to the power of 1\/2, to the nearest integer?\nAnswer: 71026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -11. Let r = 13 - x. Let v be (r + 0)\/(3 - 2). Is -1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 6195.\nAnswer: 6195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 11*j**2 - 6*j + 12. Let t be k(8). Let n = 291 - t. Solve 40 = -n*f - 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357979190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = 5*c - 2*n, 7*c - 3*n + 270 = 2*c. Let p = -28 - c. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 1. Let o(b) = 2. Calculate 2*o(v) + 10*w(v).\nAnswer: -10*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(52)\/(sqrt(12)\/sqrt(3) + sqrt(4) + sqrt(4)))**2*-5 - (-4*((sqrt(4212) + 0 - sqrt(4212)) + sqrt(4212)) - sqrt(4212))**2.\nAnswer: -947765\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/248 and 137\/186.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 6. Let b be (r - (2 - 2)) + 2. Let g = 89\/24 + -19\/8. Are g and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 7. Let y(t) = t - 4. Let u(s) = 6*a(s) - 10*y(s). Let v(f) = f - 1. Give 6*u(x) - 10*v(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -59620194739 - 0.0524\nAnswer: -59620194739.0524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14255 + 1551205?\nAnswer: 1532510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/7*45\/(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -44*c + 40*c. Sort -21, c, -2.\nAnswer: -21, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14593 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2. Suppose -4*k + a = -3, 0*k - 6 = -3*k - 3*a. Let g(b) = b**2 - k - 1 + 2. Calculate d(g(t)).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -0.3 (b) -0.5 (c) -248 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 8, m: 11}. What is prob of picking 1 h and 1 g?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 40*g**2 - 69*g + 1386. Calculate b(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**4\/24 + 5*w**3\/6 + w**2. Suppose -g - 54 = 17*g. Let n be j(g). Which is greater: n or 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 4. Let l be x(2). Solve -4*a + l*v = -8, 4*a - 4*v - v = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/270 and -31\/22.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (100 + -101)\/(3\/(-48 - 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7540 = 4895*r - 12040 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3012 and -181\/5796.\nAnswer: 1454796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 817 + -37. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p + 1. Let f be 3*(-2)\/(-12)*2. What is o(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(8\/4) - 0. Let l be ((-2)\/8)\/(y\/(-4)). Let a be 6\/(-4)*2\/l. Let u(v) = -2*v**2 - 4*v - 4. Give u(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2\/15, -5\/17, -0.2, -1\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12280*0.17445.\nAnswer: 2142.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14773 divided by -1.\nAnswer: 14773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 19 (b) -4 (c) -20.4381 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - (3 + 1) - (0 + 3). What is the common denominator of 8\/(-24) - (-115)\/(-18)*w and 127\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, 2 in decreasing order.\nAnswer: 2, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 3. Calculate the common denominator of -85\/8 and ((-17)\/y)\/(-1) - (12 + -14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.874 and 0.3?\nAnswer: -3.2622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - a**2 - 99*a**3 + 47*a**3 - 6*a**2 in the form h + z*a**2 + s*a + x*a**3 and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41257 (base 8) to base 2.\nAnswer: -100001010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 - 74*d**4 - 124*d**3 + 560*d**2 = 0. What is d?\nAnswer: -35, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-220) - 46624\/1034?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1144, 15, 0, 4, -3 in increasing order.\nAnswer: -3, 0, 3, 4, 15, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*l - 494*l - 498*l + 1495*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.867 + 6.5. Let u = 0.367001284 + l. Round u to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-11)\/(88\/64) - 16\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 553.3 + -528. Let g = n - 12.1. Let r = 13 - g. Which is the nearest to 2? (a) 5 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-15) - 92331\/(-45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2274*n - 2272*n + 6961992 = 0, -4*n - 3480990 = -2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*d = -1034 - 356, -2*i = d + 925. Which is smaller: -461 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1095\/16 + 1099\/16. Solve 0 + w*j**2 + 1\/4*j = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10054*u**3 + 5248*u?\nAnswer: -60324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3242*-0.437.\nAnswer: -1416.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*u + 13, 0*u + u = -2*z - 1. Suppose -3*n + 6 = -3*l, 2*n = -2*l + 5 - z. Suppose -n*j - 403 = -5*t, t - j = -2*t + 241. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 0.1, -2, 0, -3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 486 - -1063?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -24. Suppose w = 3*m - 4*m + 31. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 624588 and 1752.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 538.920102 to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a*h*o**3 + 60880*a*h + 5*a*o**3 - 485*a*o**2 - 2*o**3 + 2*o**2 wrt h?\nAnswer: 4*a*o**3 + 60880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 107 = 3*v, -151 = 4*v + f - 4*f. Suppose 22*h = -23*h + 37*h + 8. Calculate the smallest common multiple of 36 and -2 - (-1)\/h - v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u**(-1\/4)))\/u**(-2\/11))\/((u*u*u**(-2\/3))\/u**(1\/7)) assuming u is positive.\nAnswer: u**(-1625\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 44 = 3*t - 52, -t = -h - 32. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24500 (base 7) to base 10\nAnswer: -6419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13988 + 14140. Solve -14*m - 110 = -f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6188?\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*p + 12. Suppose -32 = -3*y + p. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/151?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12511415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 1, z: 1, h: 1, n: 1, e: 2}. What is prob of sequence eiz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30459 - 4?\nAnswer: 30455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442441541 (base 6) to base 4.\nAnswer: 132121113211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*i - 145*i + 295*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 129, 13, -501, -1611, -3515, -6411, -10497, -15971?\n\"Answer: -33*f**3 - f**2 + 118*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 48 = 2*u, -3*m = u - m - 21. Let v = -14 - u. Let x = v - -64. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 9690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 0 = -5*w - 3*f, -45 = -4*w + 5*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vavqabvvbg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -53, -79?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -19*z - 200. Let v be g(-19). Suppose 166*x = v*x + 90. What is the remainder when (-10)\/2*1*-7 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 + 3. Let k be o(-3). Suppose 4*u + 3*z - 1 = -0*z, 0 = -k*u + 3*z + 6. Let l(t) = -3*t - 1. What is l(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 11*n**2 - 11*n - 7. Let z(u) = -4*u + 6. Let k be z(4). Let x be j(k). Suppose -x*f - 72 = -2*h, 7*f + 76 = 2*h + 2*f. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 621\/7 - 89. Let u = 28\/517 - -6\/47. Which is the closest to -1\/4? (a) p (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-221)\/2))\/((-4)\/4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 696220*a**2 + 695712*a**2 - 9 + 2 + 0.\nAnswer: -508*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = 22*a + 5*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -329 + 330. Let b be (p*2)\/(74\/185). Solve -5*g - b*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - l + 8, -4*r + 5115*l - 5112*l + 28 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98378.28 millilitres in litres?\nAnswer: 98.37828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 284 = 4*y, -70*y + 5904*l - 4670 = 5899*l for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*a - 18, g + 7 = -a - 0*g. Let h be 0 + -4*3\/(-114). What is the third smallest value in h, a, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 7*b**2 + 10*b - 11. Let f(a) = -14*a + 2. Let l be f(-1). Let i be (0 + (-1)\/(-2))*l. What is the units digit of k(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39468, 157855, 355124, 631239, 986164?\nAnswer: 1419863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**7\/2520 + j**6\/240 + j**5\/60 + j**4\/6 - j**2. Let l(y) be the second derivative of k(y). Determine l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -1 + (-3)\/(-3). Let a = 4 + -7. Let p = -1 - a. Solve -g*u = 4*k + 3, 0*k + p*k + 5 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/25)\/((-8)\/32).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/162*-15 - -1 and (-2)\/3 - 141\/(-144)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m - 23 = -g, -g = 5*m - 33. Let h = g - -11. Let i be 3\/7 - (-2470)\/133. Calculate the highest common divisor of i and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*o - 16, 8 = 4*h + o + o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -7*y**3 - 3*y**2 - 3*y. Let r be a(7). What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 11. Suppose 0*v + 33 = -3*v. Let t(w) = -6. Let y = 26148 + -26154. Determine v*t(p) + y*f(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 969 - -102. Suppose -3*h - f = -10*h. Suppose h = 4*v - 3*p, v - 6*p - 45 = -3*p. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 85 = 5*c, 4*a - 95 = -2*c - 31. Suppose -9 = -k - 1. Calculate the smallest common multiple of c and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3\/4)\/(6\/56) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*j + 769*j - 267*j + 1.\nAnswer: 257*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 9*t - 9. Let q(d) = 2*d + 2. Let i(v) = 2*g(v) + 9*q(v). Let x(u) be the first derivative of u**3\/3 - 2*u**2 + 711. Give i(x(m)).\nAnswer: 2*m**4 - 16*m**3 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let w(l) be the second derivative of 0*l**3 + 0 - 7\/12*l**4 + 0*l**2 - l. Calculate j(w(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 + (11 - 16) + 3)) + -118.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*o**2*u**4 - 10*o**2*u**2 - 2*o - 9*u**6 - u**4 + u**2 wrt u.\nAnswer: 936*o**2*u - 1080*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*p - 5527 = -1117*p - 628 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 5*v + 12. Suppose -2*w - w + 24 = 3*o, 3*o + 5*w - 20 = 0. Let i be l(o). What is the highest common factor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*g**4*z + 3*g**2*z**2 + 439*z**2 wrt g.\nAnswer: 372*g**3*z + 6*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -245, -1008, -2281, -4064, -6357?\n\"Answer: -255*b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 5*z + 15. Let q be r(6). Suppose q*k + 2268 = 39*k. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8657.8313 to the nearest 10.\nAnswer: -8660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c3 + 984922?\nAnswer: 98485f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4919 divided by -5\nAnswer: -4919\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/6*6)\/((-4)\/44).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 0.0997709293776.\nAnswer: 0.2997709293776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 + 13*c**4\/8 - 28*c**3 - 2*c**2 + 922*c. Determine m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.177842ns?\nAnswer: 0.008177842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09339 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12930 + -12930.05. Which is the nearest to 2\/9? (a) 5 (b) 0.4 (c) f (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1750 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-435)\/725*(-117)\/(-78)*290\/(-6)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 288107 less than 4418?\nAnswer: -283689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -225*(-957)\/(-15950)*10*1?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 550, 783, 998, 1189, 1350, 1475, 1558?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 6*s - 60. List the prime factors of (-2)\/s + 1034\/6 - -2.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/328887 and -47\/720.\nAnswer: 26310960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264*l - 264*l - 180*l**2)*(8*l + 0*l - 4*l)*(-2*l - l + 0*l).\nAnswer: 2160*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 11735.\nAnswer: -41\/11735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v + 448. Give t(20).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 24916*w - 26710912 = 0.\nAnswer: 1376, 4853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u*u**(-2\/5))\/u*u))**(2\/135)\/(u**(-1\/4))**49*u**(2\/11)*u*u**6*(u\/(u\/(u**(-6\/5)*u*u))*u)\/u*u\/(u\/((u**(7\/3)\/u)\/u)) assuming u is positive.\nAnswer: u**(610961\/29700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 44*c - 41*c. Let j(k) = 3*k**2 - 2*k - 1. Let l be j(-1). Let q be 1*l*(-7)\/4. Is c less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 55 = -10*t + u, 4*t + 170 + 158 = 6*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124763590?\nAnswer: 2, 5, 13, 37, 649639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Suppose 9*l - 5*l - 48 = 0. Suppose -4*p = -8*p + l. Let s(i) = -14*i**2 + 3*i**2 + p*i**2. What is s(y(o))?\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, 4, 96, 276, 574?\n\"Answer: 5*i**3 - i**2 + 2*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1614 - 2158263119\nAnswer: -2158261505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*(h**(2\/7)\/h)\/h)**18)**2 assuming h is positive.\nAnswer: h**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 17*y + 16. Let t be l(16). Solve q + 3*a - 12 = t, -a - a + 15 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.5, 3\/16, 247?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386718 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*w + 402*w - 569*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -48387 - 43*x - 429*x - 3*x**2 - 290*x = 0.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1331 and 85679?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 6)*(-1 + 1 - 2*m) + (4*m - m - 2*m)*(0 + 0 + 1) - 5 + 20*m + 5 in the form v*m + n and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20396*c*u + 761308*c - 5*u**3 with respect to u.\nAnswer: -20396*c - 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) -8 (c) -1568 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 divided by -273068?\nAnswer: -119\/68267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + -114.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -95\/2. Let i = 5145 + -5143. What is the second biggest value in 3, 0.3, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3918 + 0?\nAnswer: -3918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/((-3)\/45). Suppose 14 = 3*k + g. Which is smaller: 5\/3 or k?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:21 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**6 + 2*h**5 - 31*h**3 + 5433*h**2?\nAnswer: -960*h**3 + 120*h**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9\/2041, -0.14, -3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.3 + 0.7. Let p = k - 9. Let a = 6.1 + -1.1. Put 3, p, a in increasing order.\nAnswer: p, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a0804 (base 11) to base 16.\nAnswer: -99f07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 = 4*u - 17, 3*b - 12 = 0. Let l be (36\/u)\/((-6)\/(-4)). What is the greatest common factor of l and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 11*g + 11. Let q(b) = b**3 - 6*b**2 - 6*b + 5. Let a be q(7). Suppose -2*j = -4*j - a. What are the prime factors of k(j)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = 3*s. Let t be 1 + 2*5*-1. Is (-500)\/s + 3\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76, -128, -188, -262, -356?\n\"Answer: -l**3 + 2*l**2 - 51*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -0.28. Let g be (30\/20)\/(6\/148). Suppose -3 = -34*i + g*i. Sort f, i, 0.6.\nAnswer: i, f, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 38*h**3 - h**2 - h + 1. Let l(s) = 2*s - 5. Let z be l(5). Suppose 2*w + 18 = z*p, -4*w + p + 24 = 6*p. Is t(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -0.1. Let n = -1.3 - b. Let c = 0.3016 + n. What is c rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650729277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-6)\/(-48)). Let l be w\/(-3) - 2\/3. Let q = 0 - l. Solve -5*s - q*d - 1 = -11, -4*d = 3*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m)**(-9\/8) assuming m is positive.\nAnswer: m**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 2 = 3*i. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -254 - -255.498. Round m to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, -1 in increasing order.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848362 = 15461*x - 2595455 for x.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(25*h - 206 + 206) + 0 + 3 - 1 - 2*h.\nAnswer: 73*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 7*c + 3. Calculate g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + c**3 - 6*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3618)\/1005)\/((3\/(-6))\/(25\/10)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2*-5)\/(sqrt(300)*2) - ((-5 + sqrt(112)\/sqrt(4))**2 + -1))*5.\nAnswer: -260 + 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583457?\nAnswer: 7, 17, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*f - 309140 + 312980 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 - 324*a + 4766. What is t(-94)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 6*v + 0*v + 0.\nAnswer: 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.3599 to 1 dp.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 202783664 a multiple of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/93)\/(98\/(-63)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 61 = -148. Let g = w - -102. Solve 5*l = -g, -5*j + 4*l = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.18 - -2.38. Which is the third smallest value? (a) -9 (b) 0.1 (c) 0.5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 749, 11, -727, -1465?\n\"Answer: -738*k + 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 640, 2162, 5126, 10012, 17300, 27470, 41002?\n\"Answer: 80*d**3 + d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22173 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v**2 - 1. Suppose 3*j - 228 = 3*l, 5*j = -5*l + 6*l + 64. Let c = 68 + l. Let h be g(c). What is h rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-11) + 8\/(-44). Suppose -s - b = c, 3*s - 5*b - 5 = 27. Solve 9 = s*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 32*u + 16. Let k be a(-10). Let g be 2\/(-10) + k\/(-20). What is the tens digit of (-14 + 4)\/((-3)\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/16 and -1\/462.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/684 and 110\/(-165)*-2*87\/456?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 + 246. Suppose -x + 46 - f = 0. Solve 0 = -2*w - 3*k + x, -w + 2*k = -3*w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-3 + 3 - 17) + (-3 - -4) - -12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*x - 17, r - 12*x = -9*x + 5. Let l(n) = -2*n + 2 + 1 + 0 - n**2. Determine l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1)\/sqrt(4) - (3 + sqrt(32)*2)**2.\nAnswer: -137 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5 + 13, 4*j + 3*x - 138 = 0. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x + 174*x - 27*x - 54*x - 47*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004574957 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 9) in base 10?\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7802336?\nAnswer: 2, 23, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 39 = 1. Let s(p) be the third derivative of 0*p**4 + 1\/40*p**6 + 0*p**3 + 0 + 0*p - p**2 - 1\/20*p**u. Factor s(i).\nAnswer: 3*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/10)\/(((-203904)\/(-885))\/(-192)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*n + 95. Let v be (-20)\/50 - 1984\/n. Let p be 840\/9*v\/(-12). Round p to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Suppose 10*y - 44 + 74 = 0. Let z be (-72)\/20 - ((-1 - 0) + y). Is z greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nod when three letters picked without replacement from {k: 4, d: 7, n: 1, w: 3, o: 2}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:02 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 11139\/566?\nAnswer: 11139\/566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. Let w = 28751\/115036 - -2\/28759. What is the smallest value in 1\/3, i, -12, w?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -6, 1\/6, -225, -5, -0.5 in ascending order.\nAnswer: -225, -15, -6, -5, -0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 34. What is the closest to 0.05 in -4, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-27)\/p)\/p)**9\/(p\/(p**24\/p))**(1\/28) assuming p is positive.\nAnswer: p**(-3643\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*q**2 + 2*q**3 + 0*q**3 - 12*q**2 + (0*q - 3*q - q)*(-1344 + 1344 - 65*q**2) in the form i*q**2 + z + g*q + y*q**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85 + -e1d9?\nAnswer: -e26e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n - 3*n)*(-2*n - n + n) + n + 113*n**2 - 2*n - 143*n**2.\nAnswer: -26*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + 4*((sqrt(153) - sqrt(153)*2)*3 - (2*(sqrt(153)*2 + sqrt(153)) + sqrt(153))) + 0)**2.\nAnswer: -720*sqrt(17) + 244809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 12. Determine g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 62807.96 centimeters?\nAnswer: 628.0796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16*r**2 - 11*r**3 + 12*r**3 + 10 + 8*r**2. Let p be s(9). Let y = -88 + p. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 28*g - 63. Suppose 2096 = -63*w - 79*w - 1596. What is v(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -4, -434.\nAnswer: -434, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/21 - 2*m**2\/21 - 8*m\/21 + 8\/21.\nAnswer: 2*(m - 2)*(m - 1)*(m + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570, 300, 2608, 6348, 11514, 18100?\nAnswer: 26100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 22.1?\nAnswer: 22.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3372, 6762, 10162, 13578, 17016, 20482, 23982, 27522?\n\"Answer: u**3 - u**2 + 3386*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*((-8)\/(-4) - 1). Let d be -3*4*(-3)\/o. Let l(t) = -t**3 + t**2 - 2*t + 3. Give l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985.6729 rounded to zero decimal places?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + c - 2*c)*(-c**2 + c**3 + c**2) + (0*c - 4*c - 6*c)*(-4*c + 4*c + c**3))*(1499 - 1499 - 47*c).\nAnswer: 564*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8100168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -104. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 43*o + 50 = 0, 11*w - 43 = -o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 3*y**2 - 2*y + 2. Suppose -5*v + 7*v + 50 = 0. Let a = 22 + v. What are the prime factors of u(a)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 0*k - 11*k + 23*k - 6*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1620384351 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:59 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -135. Let p(w) = -2*w + 3*w**2 + 126 - a - 63. Determine p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517429.3us in nanoseconds?\nAnswer: 517429300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 7*g**5\/60 + g**4\/8 + g**3\/2 + 168*g**2 + g. Let u(o) = o**3 + 15*o**2 + 7*o + 7. Give 7*t(c) - 3*u(c).\nAnswer: -3*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24459, -24468, -24513, -24612, -24783?\n\"Answer: -3*j**3 + 12*j - 24468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.42 + 0.5?\nAnswer: 47.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1746035518 rounded to 5 dps?\nAnswer: 0.1746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 329. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37618 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -1, 6, 1 in ascending order.\nAnswer: -2, -1, 1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 62. Let p(o) = r*o - 252 - o**2 + 124 + 116. What is the units digit of p(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**(-13)\/((b\/b**(-1\/3))\/b)**35)**(-2\/9) assuming b is positive.\nAnswer: b**(109\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1657 or 1162?\nAnswer: 1657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 3. Let q be t(2). Let v = 27 - q. Calculate the smallest common multiple of v and ((-32)\/(-6) + -4)*24.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/4 - 82*k**3 + 1715*k**2 - 8700*k = 0. Calculate k.\nAnswer: -348, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2427.2338 - 2427. Let z = 1.76 - 2. Let t = z + o. Round t to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 1015.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - (-1284)\/(-107) - -26*(-3)\/12?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5\/2 + 36*r**4 + 405*r**3\/2 + 426*r**2 + 306*r = 0.\nAnswer: -17, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14377*k**2 + 88. What is b(0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(350\/15))\/((-9)\/12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53674 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*g = 64, q - 5*g - 323 = -291. Solve -4*k + 48 - q = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let w(c) = -108*c**2 - 27*c + 189. Let v = -166 + 167. Let j(n) = v*w(n) + 27*o(n). What is the first derivative of j(s) wrt s?\nAnswer: -216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89998? (a) -4 (b) -116 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(5 + ((2*sqrt(171)*-3)**2 - (2 + 2*sqrt(171)))) + 4.\nAnswer: -72*sqrt(19) + 73912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178 + 182. Suppose 2*u + 1173 = 3*l + x*u, -2*l + 790 = 4*u. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3498\/(-20790) + 7*(-4)\/(-252).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xax when three letters picked without replacement from {x: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3789209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -81\/641, -146\/7, 2\/11?\nAnswer: -81\/641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53231 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/3 - 796120*s**2 + 796121*s + 4776722\/3 = 0. What is s?\nAnswer: -2388361, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407 - 556 + 433)*(-5*x + x + 2*x) + 0 - x + 0 - 3 + 4*x + 3 + 5*x - 3*x - x + (-2 + 4 + 0)*(2 + x - 2) + 2*x - 3*x + 3*x.\nAnswer: -560*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 3*n - 5. What is the nearest to -1 in -5, 7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and -13911729?\nAnswer: -3060580.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7570466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/11 - 21*v**4\/11 - 155*v**3\/11 - 439*v**2\/11 - 168*v\/11 + 784\/11 = 0. Calculate v.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/140 + -111\/280. Let h = 1 + 0. Suppose 0*z + 4 = -z. Which is the nearest to -0.2? (a) v (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -25*n - 746. What is the second biggest value in 4\/5, 4, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1858 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1941 - 605 - 290)*(-6*d**4 - 13*d**2 + 13*d**2) as o*d**4 + m + t*d**3 + h*d + y*d**2 and give o.\nAnswer: 17016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13*p - 4. Let s(n) = 64*n - 20. Determine 16*i(u) - 3*s(u).\nAnswer: 16*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89611, -89657, -89703, -89749, -89795?\nAnswer: -89841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**8)\/p**12)\/(p\/(p\/(p*p**7\/p*p*p))*p**11\/p))**(-6\/37) assuming p is positive.\nAnswer: p**(228\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-108)\/(-198)*1\/33\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 866 - 813.1. Let o = i + -53. What is the closest to 2\/19 in o, -1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**4 + 32*p**3 - 4*p**2 - 32*p = 0?\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 - 34*h**2 - 57*h - 3. Let r(b) = 7*b**3 - 66*b**2 - 114*b - 5. Let j(n) = 3*r(n) - 5*x(n). What is the second derivative of j(z) wrt z?\nAnswer: 6*z - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643526 divided by -246?\nAnswer: -6681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 4*r. Let b(s) = -s**3 + 13*s**2 - 13*s. What is -2*b(z) - 7*j(z)?\nAnswer: 2*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 3 (b) -2 (c) -868\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 - 1291*z**2 + 130600*z - 3277500.\nAnswer: -(z - 50)**2*(z + 6555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*sqrt(99) + sqrt(99)))\/sqrt(9))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8+415786.17\nAnswer: 415794.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -67954935 plus 0.3?\nAnswer: -67954934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/175117 and -5\/92709.\nAnswer: 1576053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:55 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3021 * -10.\nAnswer: -30210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8394699799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 + 4 = 0, 5*x - 15 = h. Suppose 3*g - x*g = 0. Solve 5*i + 5 + 0 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 147*s - 84. Let y(v) = -3*v - 7. Let q(t) = o(t) - 12*y(t). Let b(d) = -d. Give b(q(z)).\nAnswer: -183*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5867*m**2 - m - 10 - 2997*m**2 - 7 + 1875*m**2 + 174 wrt m?\nAnswer: -13978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/170 and -16\/11136513?\nAnswer: 111365130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 + (-2 - -4). Suppose 0 = u - 2 - b. Find the second derivative of -2*x + 3*x - u*x + 8*x**3 - 2*x wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 46 = 3*s. Let h = s + -49. What are the prime factors of (0 + -21)\/(h\/12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1716 and 9964812.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**2 - 2*k + 2. Let l(t) = t**2 - t - 1. Let m(i) = -2*l(i) + z(i). What is the derivative of m(s) wrt s?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2638)\/16 + 0 + 1. Let j = 169 + k. Calculate the common denominator of j and (92\/6)\/((-120)\/(-27)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 6*l + l. Let h(v) = 100*v**2 - 3*v + 3*v - 129*v**2 + 45*v**2. What is t(h(a))?\nAnswer: -160*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.6. Let t = 1022 + -1022.08. Let y = -0.2 - 2.8. Which is the second smallest value? (a) y (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 1599 + 4561. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 102*s**3 - 752*s**2.\nAnswer: -s**2*(s + 8)*(s + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}