diff --git "a/data/dm_maths/full_data_1/10965_11255.jsonl" "b/data/dm_maths/full_data_1/10965_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10965_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of 9482*j*r**5 - 830*j*r**2 - 17*j + 3*r**6 wrt r?\nAnswer: 568920*j*r**2 + 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 5*b - 6. Let k be n(3). Let f(x) = 3*x - 4. Let y be f(2). Let i be 2 - y\/(4\/(-6)). Solve -4*g + 3*t - 6 + 15 = k, g - i*t + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5993824 divided by -15448.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1, 1\/2, 67.663, -2, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*m + 14336 = 132*m - 379*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -624956547?\nAnswer: 624956547.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -425141?\nAnswer: 425135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 300 - 100. Let y be (1 - 0) + -1 - (-27 - d). Solve -2*s - 6 = -n, y*s + 7 = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -1. Suppose 8*t - 9*t + g = 0. Solve 0*o - t = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3681879 and 678.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.6218 + -936260767.\nAnswer: -936260718.3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) -0.5 (c) -4 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7\/5*v + 1\/5*v**2 = 0. Calculate v.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/3))**(11\/5))**(9\/2))**(-44) assuming w is positive.\nAnswer: w**(1452\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5\/2)*x)\/x**(5\/4))\/(x**(-7)\/x**(4\/5)))\/((x**(-1)*x)**(-38))**(-1\/27) assuming x is positive.\nAnswer: x**(101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*q + f - 30 = -222*q, 3*q - 43 = -2*f. Solve -3*k - 5*c = -40, -c - 12 + q = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/6)\/((-3)\/(-9)). Let w = v + 16. What is the third derivative of -14*x**2 + x**w - 2*x**6 + 11*x**2 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1.07015014\nAnswer: 4.28060056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 343835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + o + 0*o)*(-119 - 117 + 295) to v + l*o and give l.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u + 142 - 602 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 97*k**3 + 31 + 117*k**3 - 2.\nAnswer: 20*k**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-50)\/4)\/((-1)\/2). Let y be 3 - 1*u\/8. What is the closest to -1\/2 in y, 1\/5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11\/((-55)\/96) + -1)*-5 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10941, -21728, -32529, -43350, -54197, -65076?\nAnswer: -75993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 546 - -a?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*r - 2 + 27, 10 = -3*r - h. Let i be 28\/6 - r\/15. Suppose -5*g - i*o = -55, -g = -3*g - 3*o + 19. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125 in -1, 2, 1, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 209*m + 119. Let i be v(-105). Let l(u) = 4*u**3 + 4*u**2 - 3*u. Let h be l(2). Calculate the highest common divisor of i and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 4*n**2 - 5*n - 3. Let t be x(-4). Calculate the greatest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16208 and -0.763702.\nAnswer: -16208.763702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Suppose 2*l - 5*l - 3 = 0. Let q be 10*(l + 0 + 2). Let t(b) = 5*b**2. Let w(o) = 9*o**2. Let a(v) = q*t(v) - 6*w(v). Give a(h(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 19, 0, 3\/7, -2, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l - 3 = 0. Let v(f) = l - 2 - 5*f**2 - 4*f + 3*f. Let o(m) = m - 19. Let t be o(20). Determine v(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrfuarurffr. Give prob of sequence uf.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 6624 = -2*x + 6630, -3*x + 7 = -4*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/27*-3*-3*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/42)\/(2\/(-4)*-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 194 + 27. What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*u**5 + 133*h*u + h - 528*u**5 - u**3 - u**2 wrt u.\nAnswer: 60*h*u**2 - 31680*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 8 = -5*x. Calculate the remainder when 43 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25991 - -41322. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 36*l - 236*l + 2756 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 12 + 8 + 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + w**2. Let m(t) = 4*t**4 + 18*t**3 + 22*t**2 + 16*t + 4. Let v(f) = -5*f + 28. Let b be v(6). Let d(i) = b*o(i) - m(i). Factor d(g).\nAnswer: -4*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/9 of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 0, 2*d = 3*d + 3*y - 626. Let q = 1130 - d. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 19*t + 43. Let n be r(21). Which is smaller: n or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 17*v - 4. Let h(k) = 5*k - 5. Let y(z) = g(z) - 2*h(z). Let a(m) = 11*m**2. What is y(a(w))?\nAnswer: 77*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -470180, -940358, -1410536?\n\"Answer: -470178*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*b**3 + 0*b**2 - 2\/3*b + 4\/9.\nAnswer: 2*(b - 1)**2*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + -4 + ((sqrt(208) - (1 + sqrt(208))*2) + (sqrt(208) - (-1 + sqrt(208) + sqrt(208)))*6)*6 + 1)**2.\nAnswer: -5040*sqrt(13) + 367137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4928 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 56. Let c(q) = -q**2 - 1. Let m(d) = -4*c(d) + g(d). Let r(w) be the first derivative of m(w). Determine r(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-644)\/(-230))\/(8\/(-10))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 11, 0.1, -5, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-930)*81\/18*(-520)\/78. Let k = 3 + -5. Is l < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbbvvbmmgbvgvbvvvgmv. What is prob of picking 3 m and 1 g?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.9 - -32. Let g = 0.386 + -31.586. Let m = g + 31. Which is the closest to v? (a) -2\/3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37163 bigger than -37163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/13)*y*y**9)\/(((y\/(y*y\/(y*y**(1\/8))*y*y)*y)\/y*y)\/(y\/y**(2\/3))))**(1\/42))**(-12\/13) assuming y is positive.\nAnswer: y**(-3449\/14196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o + 7. Let n(q) = -117*q - 1. Let x(f) = 21*f. Let h(d) = -2*n(d) - 11*x(d). Suppose 6 = 2*r + r. What is r*w(y) - 7*h(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-20) + (-4)\/(-5). Suppose 39 - u = 2*o. Let j = 0 - -7. What is the remainder when o is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/12 - -4\/3. Solve 1\/2*g**2 + 0 + u*g**3 + 1\/4*g = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -13. Suppose -4 = b + 3*g, -2*g + k*g = -b. Let o be (2\/(-6))\/(b\/(-18)). Solve o*x + 10 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*z - 7742 = -120988, -10*a - 5*z = -566330. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1943 divided by 4\nAnswer: -1943\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -422 (base 8) to base 4\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1402 + 1454. Let p(g) = 6*g**2 - 5*g - 5. Let i be p(-4). Let m = i - x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 c when four letters picked without replacement from {v: 5, c: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 74050980 and 74050978 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71664 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {g: 7, i: 1, y: 2, o: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 7260*l = 7263*l + 6, -5*l = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65550 is divided by 254?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -239065447 divided by -1\nAnswer: 239065447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -125 (c) 1 (d) -0.293\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116502*d - 164370 wrt d?\nAnswer: -116502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 486831, 3, -22, -0.4 in descending order.\nAnswer: 486831, 3, -0.4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 > -401\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {b: 4, p: 2, a: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-6)*2*168\/728. What is the nearest to 0.2 in -1\/2, 1\/2, -1\/6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7407 * -2.998.\nAnswer: -22206.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - y**3 - 2*y**2 + 10*y**4 - 8*y**4 - 3*y**4 to q*y**3 + n + j*y + i*y**2 + c*y**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138555629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 4*b - 2. Let l be m(2). Let t(r) be the first derivative of -61751*r**3\/3 - r**2 + 48. Let a be t(l). Round a to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + h + 70 = -34*r, 4*h + 60 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f - 40. Let t be (-187)\/(-51) - f\/(-2). Is 3 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0952 - 771308\nAnswer: -771307.9048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 20*a**2 - 18*a - 16. Give l(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -1, 2.67, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-2)\/((-10)\/(-55))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346631189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 12, 2*s + s = -3*b + 12. Suppose p - 2*p = -s. Let i(a) = a**2 - 7*a + 3. Calculate the remainder when p is divided by i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 664 (b) -0.123 (c) 5 (d) -0.12 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 610\/7 + -87. Which is the nearest to 8? (a) 2\/7 (b) 3 (c) 0.1 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/5 or 12?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i + 1. Suppose 8*w - 7*w + 4*b - 13 = 0, 5*w + 2*b - 11 = 0. Let s(h) = -10*h**3 + 5*h - 5. Give w*s(u) + 5*k(u).\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/30*3*0. Let f be (-2)\/5 - 13\/(-20). Which is the nearest to 2? (a) f (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c10549 (base 13) in base 6?\nAnswer: 531330052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = 6*u - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1725 + 182 - 335)*(-v**2 - 2*v**3 + v**2).\nAnswer: -3144*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2415*d - 55846. Calculate p(23).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = -4*b + 8, 4*x + 3*b = 63. Let w(v) = 10*v + 32. Let c(s) = 4*s + 13. Determine x*c(m) - 5*w(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7090)\/(-25))\/((-543)\/(-90) - 6). Suppose 0 = 13*c - 7599 - n. Is 78 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**8\/18 - 37*f**7\/105 + 269*f**6\/360 - f**5\/2 - 19*f**4\/72 + f**3\/3 + 9897*f**2. Solve t(o) = 0.\nAnswer: -1\/4, 3\/14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5438 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h - h)*(-119 - 36 - 2*h**2 + 536*h - 535*h).\nAnswer: 2*h**4 - h**3 + 155*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1597 (c) 0.051 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6588 - 6588.079925. Let s = -0.08 - r. Round s to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 19*c**5\/60 + 5*c**2\/2 + 13. Let h(v) be the second derivative of r(v). Let z(m) = -2*m**2. Calculate z(h(g)).\nAnswer: -722*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose -3*w + 6 = 5*i, 2*w - 4*i = -i + 4. Find the third derivative of -3*t**w + f*t**6 - 3*t**6 - t**4 + t**4 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7*c*c**(-5)*(c**(-5)\/c)\/c*c*c**2*(c**(-4)*c**(1\/6))\/((c**(-2\/3)*c)\/c)**(3\/29) assuming c is positive.\nAnswer: c**(-829\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10279 and 1155082067?\nAnswer: 10279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - 5*(-1*sqrt(84) + sqrt(84)))\/sqrt(12).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 9)\/60*4\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234 + 1019. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 140 = 4*g. Let r = -33 - g. Suppose t = -t + 28. Solve -5*u - 3 = -8, -4*f - r*u + t = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5944065794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11020 (base 4) to base 16\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 12*p + 1. Let h be s(12). Suppose -q + h = 0, -2*o - 4*q + 12 = -6*o. Is 3\/o*(-56 + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let v(i) = -8388*i**2. What is y(v(p))?\nAnswer: -16776*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69.44 - -10.84. Round q to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*1)\/(9\/(-99)). Suppose u = k + 2. Calculate the remainder when 24 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 81.264. Let l = -18.264 - z. Do l and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-9) - (3 + (-2)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*r + 4, -4*a - 914 = r - 913. Suppose 0 = 3*c - 0*c - 6. Factor 60\/7*y**4 + 0*y + 300\/7*y**3 + a + 4\/7*y**5 + 500\/7*y**c.\nAnswer: 4*y**2*(y + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*t + 18 - 11 - 43 - 6*t**3 wrt t?\nAnswer: -18*t**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = t - 6, 4*y = 5*t + 18. Let m(c) be the second derivative of 0 - 5\/2*c**y + 2*c - 2\/3*c**3 + 1\/12*c**4. Give m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 36 = -12. Suppose g - c = -3*g. Calculate the lowest common multiple of 10 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 + -5)**2 + -3 + (sqrt(108))**2 + -1.\nAnswer: -180*sqrt(3) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/5, 0.5, -3.62, 3\/7, 1, 3 in descending order.\nAnswer: 27\/5, 3, 1, 0.5, 3\/7, -3.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 14*l - 10 = g, 4*g = 2*l - 16. Let o(i) = 2*i + 5*i - 11*i**2 + 48*i**2 + 17. What is the tens digit of o(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13140\/2400 - (-156)\/1040?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -329 - -31257\/95. Suppose 219*v = 214*v - d + 92, 3*v - 60 = -3*d. Let o be 4\/v - 106\/477. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3474172 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 2*d + 2*d**4 - d**2 + d + d + 3*d**3 + 2 to k*d**4 + o*d + x*d**2 + h + m*d**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 - 6*m - 1. Let d be 0 - 1\/2*-4. Suppose -7*j + 2*j + 24 = 2*y, -d*j + 3*y + 2 = 0. Is z(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (559\/(-39))\/(2\/(-6)). Suppose -2*d = 5*b + 33, 0 = -3*d - 2*b - 1 - j. Put d, 1, 2\/15 in increasing order.\nAnswer: d, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 3*h**2 - 4*h - 1. Suppose 2*v - 2 - 6 = 0. Suppose 2*u - 10 = v*u. Let k(w) = w**3 + 5*w**2 + 2*w + 6. Let a be k(u). Calculate o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = -l + 9, 5*l - 29 = -4*q. Let f = 25 + -29. Suppose -4*c = -2*o + 4, 5*o = -3*c + c - 2. Put l, f, c in increasing order.\nAnswer: f, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-4)\/3 - -2). Let a(y) = -y**3 - 7*y - 3. Let k be a(z). Suppose -5*s + k = 4*t - t, 0 = s + 4*t - 34. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654309.1 decades to years.\nAnswer: 6543091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 38 + 112. Let n = y + 78. Solve -z - 2*x - 1 = 2, -n*z = x - 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6129018 and 161\/1250820.\nAnswer: 61290180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*n + 6024 = -2831 - 70 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1913547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-1434))\/(5022\/(-2232) - ((-27)\/4 + 3))?\nAnswer: 1\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3375 times -18.055?\nAnswer: 60935.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4292\/11 - -390. Sort 1, 36, j in increasing order.\nAnswer: j, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2 + r + 7. Let m be v(3). Let y = m + 171. Let q = y - 4. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 23\/3 - -12 - (-2)\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15 and -3180.9.\nAnswer: -3181.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/(d\/d**(-2\/5))*d)*d))\/d**(-1\/13))\/((d\/(((d*d**(-1\/11)\/d)\/d)\/d))\/d**(-1\/9)) assuming d is positive.\nAnswer: d**(-29119\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 15*b + 57. Let n = -578 + 584. What is y(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 30\/99)*(-63)\/35. Suppose -4*v + 1 = 5. Sort b, v, 6 in ascending order.\nAnswer: v, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 5. Let t = 5.9 - j. Let v = -159.6 + 160. Sort 1, t, v.\nAnswer: t, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707 + 765 = 1326*s - 1324*s for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*d. Suppose -2 = d*l - 774. Suppose -4*w = -131 - l. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:09 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let u(h) be the third derivative of 1\/24*h**4 + 0 + 0*h**3 - h**2 + 0*h. Determine u(b(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t + 8. Let o be -2*(4 + -6) + -9. Let h be j(o). What is the greatest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11\/(99\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z**2 + 2*z + 13. Let t(v) = -18*v**2 - 3*v - 12. Let n(f) = -4*h(f) - 5*t(f). Let j be n(-3). What is the tens digit of j + -1*(1 + 12\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.081 - -20.181. Let g = 20 - m. Suppose -4*y = -f - 11, 3*f - f = -y - 4. Which is the second biggest value? (a) -1\/4 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuunun. What is prob of sequence nunu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) - (2 - 0). Let u be 8 + 8 + -4 - l. Is (0 + 2 + -1)*u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.3. Which is the third biggest value? (a) 5 (b) k (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4*n + 3)*(-2*n**3 + 0*n**3 + 0*n**3).\nAnswer: -8*n**4 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 4*z + 3. Let q(t) = -14*t**3 + t**2 - 1. Let u be q(1). Let c be 3*4\/6*u\/(-28). Let v be i(c). Solve -3*s + 2*s = v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -1\/36*b**6 + 0*b**3 + 2*b**2 + 0 + 0*b - 1\/90*b**5 + 0*b**4 - 4\/315*b**7. Factor f(m).\nAnswer: -2*m**2*(m + 1)*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 1282 = -1237 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 137 - 9 = 0. Suppose -4*t = -2*s - 168, -4*t + 0*t - 4 = 0. Let u = s + m. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 1. Let k(n) = n**2 + 8*n - 5. Let b(o) = f(o) + k(o). Let t be b(-12). Suppose -t = -7*j + 10. Is j at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13918 + 13917.2. Which is the third smallest value? (a) 1\/73 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -113, -67, -1, 91, 215, 377, 583?\n\"Answer: b**3 + 4*b**2 + 27*b - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27794358.7 less than -1.3?\nAnswer: -27794360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -2357280\nAnswer: 19\/2357280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 12 - 12\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8819912 rounded to two decimal places?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -202258244?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 12. Let j = 12 + u. What is the third derivative of -3*a**6 - j*a**6 - 15*a**2 + 11*a**2 wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 1, o: 2}. What is prob of sequence ozo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l + 6*l - 8*l - 11. Let h be g(-5). Suppose 29 - h = 5*z. What is the remainder when 13 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117608 divided by 29402.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 4*i**2 + 5*i + 1. Let d(t) = 3*t**3 + 12*t**2 + 14*t + 3. Let p(o) = 4*d(o) - 11*f(o). Let k be 1*3\/2*-2. Give p(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j + 0 + 7*j**2 + 8 + 5*j - 2*j**2. Let v be n(-7). What is the greatest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 + -82)*((-5)\/15 - 1) and 7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -71. Suppose -152 = -a*i - z, -i + 82 = i - z. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i - 5*i + 4*i + (66 + 71 - 32)*(-i + 5*i + 2 - 3*i) as a + w*i and give w.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(1645 - 692 - 663)*(0 + 3*w + 0) in the form i*w + v and give i.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1018 + 1015. Which is smaller: c or -2.85?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 408 = 4*g + 6982, 0 = -4*b - 2*g + 9868. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8559648*h**3 - 85701*h - 1?\nAnswer: -51357888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(0\/(-2) + 107). Let m = 480 + b. Suppose 7*d - m = 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 1021*w + 2038.\nAnswer: (w - 1019)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, 2, -4, -1, 4 in descending order.\nAnswer: 4, 2, -1, -4, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(390\/(-8)*2\/(-5)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 + 2. Let k be x(-3). Suppose -f + 50 = 4*o + f, 4*o = -5*f + k. What is the greatest common factor of 90 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a - 203 - 37 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + o**3 + 0*o**3)*(o**2 - 2*o**2 + 2*o**2) + 2*o**5 + 0*o**5 + 0*o**5.\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/(-63))\/(1\/402). Let i = -172 + t. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15.11. Let y = -102.7 + 113. Let w = y + -9.3. Is w less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174885?\nAnswer: 3, 5, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4426414 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9203605 minus 4?\nAnswer: -9203609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**5\/12 - t**2 - 89. Let c(x) be the second derivative of n(x). Let r(o) = -27 + 51 - 24 - o. What is r(c(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 269640294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32380 + -16959. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 at most as big as -2011\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k**3 + 2*k + 1. Calculate the remainder when m(-2) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 7. Let t be i(6). Suppose 0*g = -t*g + 375. What is the remainder when 13 is divided by ((-4)\/(-6))\/(10\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/136 + 7\/17. Let q = 1 - -2. Suppose 0 = q*g - 7*g. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*h**2 - 205*h**2 + 655*h**2 - 5 - 204*h**2 to the form z*h + s + u*h**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 546296629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) 173 (c) 42 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - u = 5*r - 6, -r + 3 = 5*u. Suppose i - 4*g - 5 = 4, 0 = -r*i + 4*g + 11. Let n be (-2)\/(i\/4*-2). Solve n*d + 4*y - y + 3 = 0, -y = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1316 (b) -15\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-8)\/(112\/1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x - 3*b, 2 + 4 = x - 3*b. Suppose -5*h = 2*g + 25, -x*h - 5 = 4*g - 2*h. Determine c, given that 1\/2*c**2 + g + 0*c - 1\/2*c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*l + 2*y - 6, -3*l = -y. Let v = l + 13. Let w be 3892\/2502*(1 - -71). Calculate the greatest common factor of v and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -806, -970, -1122, -1262?\n\"Answer: 6*j**2 - 182*j - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7347 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 + -289. Is k\/(-4) + (-506)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7366 - 3680. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79676729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 9) + (18 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from qcxcq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 50*k**2 + 17*k + 4. Let d(z) = 4 + 6 - 4 - 5. Let i(g) = 2*d(g) - w(g). Find the second derivative of i(u) wrt u.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 13*u**2 - 26*u + 75. Let c be w(-15). Let k be (1 - 0) + 51 + -2. Let o = k - c. Calculate the greatest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59166 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 the smallest common multiple of 56 and 126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8779867 decades in centuries?\nAnswer: 0.08779867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o + 16. Suppose -4*v + 20 = b, 0 = -o*b - 0*v + 5*v + 17. Solve h - 5*h = b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 7\/14*-6. Let k be (40\/(-100))\/(l\/(-105)). Solve k = 2*t + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -745303?\nAnswer: -745310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51064691 is divided by 644.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814293*g + 4*g**2 - 814293*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 + 2*q + 2. Let p(h) = 7*h**2 + 6*h + 6. Let z(f) = -13*f**2 - 11*f - 11. Let k(b) = -11*p(b) - 6*z(b). Determine l(k(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-6)*54\/(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1219.62 to the nearest 10.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 4*i**2 - 7*i - 4. Calculate the remainder when r(-4) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 9)\/((-3)\/(-2)). Let n be 45\/36 - 3\/(-4). Suppose 3*y - m*w - 299 = n*w, -4*w = y - 105. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/18)\/(((-32)\/(-48))\/(32\/(-6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*d**4 + 6 - 5*d - 22*d**3 + 27*d**3 + 28*d**4 - 11*d**4 - 7*d**2.\nAnswer: (d - 1)**2*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -193*u**2 - 27*u - 7. Let o(m) = -209*m**2 - 28*m - 6. Let z(r) = -14*k(r) + 13*o(r). Let g(y) = -5*y**2 + 5*y + 7. Calculate 11*g(v) - 4*z(v).\nAnswer: 5*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3446*m + 134398. Calculate r(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**7\/1260 - w**4\/3 + 2*w. Let q(y) be the third derivative of i(y). Let x(g) = -g**2. Give q(x(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-3) + 1\/(-3) - -8. Suppose -5*t - 2*l = -110, -l - 8 + k = 0. Calculate the smallest common multiple of 8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.141 less than -12342?\nAnswer: -12341.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110001100011001 (base 2) to base 4\nAnswer: -12030121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5800111 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2. Let m(y) = 207*y**2 + 1564*y. Determine m(t(j)).\nAnswer: 3312*j**4 - 6256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345344697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165015 to the power of 1\/2, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1866*t - 934*t - 1013*t = 4536 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 46 + 61 - 2*i.\nAnswer: -2*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1310)\/(-8))\/((-106)\/(-848))?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*p = -p + 26, -3*i - 4*p = -22. Is i equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yywy when four letters picked without replacement from {w: 12, y: 4, t: 2, l: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117469 is divided by 3789?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**2 + 27*d - 12.\nAnswer: -3*(d - 4)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - (-82 + 15)) + -9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = -0*s. Let g be (-4 + 2)*(-26)\/4. Solve 1 = m, m + g = s*u + 5*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 252 = 113. Let q = -50 + n. Let m = q + -70\/3. Is m equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -127, -246, -363, -478, -591, -702, -811?\n\"Answer: l**2 - 122*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*f - 27 - 3, -2*n + f = -10. Suppose 3*d = 4*i - 12, -5*d + i + 4 = n. Solve d*a + 6 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-2)*(-7092)\/30. Suppose b = c + 187, -2*b - q = -5*b - 3*c. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 63690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -55310930 to the nearest one hundred thousand.\nAnswer: -55300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/30 + w**4\/8 + 4*w**2. Let a(s) = -6*s**2 - 8*s - 1. Give -3*a(l) - 8*v(l).\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g, -2*g = 5*r - 6 - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**4\/24 - 2*f**3 + 17*f**2. Let b be l(4). Let o = 14 - b. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22145749?\nAnswer: 31, 587, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 457249848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925557 is divided by 925244?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25*a**2 - 12*a - 1. Let k be g(0). Are 5\/5979 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {e: 1, j: 3, t: 3, p: 1, l: 1, h: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2295630815 rounded to 5 decimal places?\nAnswer: 0.22956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -0.5 (c) 3 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 988679, 1977354, 2966027, 3954698, 4943367, 5932034, 6920699?\nAnswer: 7909362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 0. Suppose -12 = -3*o - j. Calculate the highest common divisor of 36 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 5 - 7*w**2 - 2*w**2 + 4*w**2 to t + m*w**2 + s*w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-108)\/(-18) + (3 - 2 - 2). Suppose -2*q - 8 = 2*q, -2*o - 5*q = -20. Suppose 6 = -2*r, 4*b - o = -0*b + a*r. Solve b = -2*t - 2*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 5*l**3\/6 + 13*l**2\/2 - 20*l. Let t be q(-2). Solve -5*m + 10 = -3*j, t*m + 3*j = 5*j + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/165)\/((4\/5)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -300, -1616, -3950, -7302, -11672?\n\"Answer: -509*d**2 + 211*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287505.\nAnswer: 3, 5, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8088?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101864154.77127572 - 0.22872428. Let f = -101863500.98949 - w. Let n = f + -654. Round n to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541 + 709 = 12*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q + 45*q + 5*r = 31, -4*q = -r - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-42))\/((-1)\/3))\/(-3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -2*y - 11*l + 7, 2*y = -2*l + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let k be 8\/30 - i\/6. What is the biggest value in -2, k, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (10 + -8) - -36\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 25*j + 1. Let h(p) = -24*p - 1. What is 2*h(o) + 3*q(o)?\nAnswer: 27*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-30)\/10)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1287*m**3 - 9*m**2 + 2*m + 2. Let b(g) = 1288*g**3 + 14*g**2 - 3*g - 3. What is 2*b(t) + 3*n(t)?\nAnswer: -1285*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 14*s + 36. Let w(x) = 6*x + 196. Let h be w(-32). Let g be i(h). Put 12, -5, g in descending order.\nAnswer: 12, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/(2\/(-69)). Suppose 5*w + 2*l - 3*l - 21 = 0, 5*w - 3*l - u = 0. Suppose w*j + 47 = 175. What is the highest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00350654 times 4\nAnswer: -0.01402616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*o + 5*o - 19*o + (o + 2*o - o)*(-1 + 0 + 2) - o - 2 + 2 + o + 4*o - 4*o + (-2 + 3 - 2)*(4*o - 20 + 20) to d*o + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a + 4. Let b be m(0). Suppose 2*c - 6*c - 56 = -4*n, -b*n - c + 31 = 0. Let u = 9\/163 - 389\/1141. Which is bigger: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/8)\/(o\/(o\/o**(-4))))\/(o**(1\/4)*(o**(-6)\/o)\/o))\/((o*o*o**7)\/(o**(-1)*o))**(-1\/33) assuming o is positive.\nAnswer: o**(1047\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27909, 27911, 27923, 27951, 28001, 28079, 28191, 28343?\n\"Answer: f**3 - f**2 - 2*f + 27911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(405) + sqrt(405) + 3)*-6 - -1*5*sqrt(405)*-6) + -1)**2.\nAnswer: 16416*sqrt(5) + 933481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:22 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 20, 11*c + v - 121414 = 9*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - k - 79 = 0, 0 = -3*j + 2*k - 13 - 60. Let w be -8*4\/(-8) + 90\/j. Which is the biggest value? (a) 4\/9 (b) 1\/6 (c) -0.1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:44 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -122. Let u(g) = -27*g. Let r(b) = -4*b. Calculate h*u(c) + 28*r(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Suppose 12 = 4*g, -g - g + 46 = 5*a. What is the remainder when a is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-14) - (-442)\/4. Suppose 0*k = -5*k + y. What is the remainder when k is divided by -4*-2*2\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**2 + 4. Let f be u(3). Calculate the highest common divisor of f and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201 is divided by 215?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235872 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1482 + -1482.0046. Round g to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*w**3*y**2 + 518*w**3*y - w**2*y - 15498*w*y**2 - 5*w*y wrt w.\nAnswer: 504*w*y**2 + 3108*w*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*k**2 - 2*k**2 - 59 + 59.\nAnswer: -79*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*m**2 - 141*m**2 + 288*m**2 + (-m - 2*m + 2*m)*(-m + m - m) to the form o + v*m + q*m**2 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709097242 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (100\/40)\/((-3)\/(-6)). Factor -15*u + 4*u - u**2 - k*u + 3*u + u - 35.\nAnswer: -(u + 5)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390771318 and 1986.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-54)\/12 + -1). Let d = -2.2 + 2. Let x = 0.5 + d. What is the biggest value in 0.4, x, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9814 + -4227. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 464 - 450. Solve h + s = 1 - 2, -5*h - y = 2*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9084895\/114 - -79691. What is the common denominator of g and -99\/350?\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*(((m**2\/m)\/m*m)\/m)\/m)*m)**49*(m**2)**(-17) assuming m is positive.\nAnswer: m**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s = 54. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/14)\/((-860)\/(-1505)). Let f be 2\/40*45\/6. What is the smallest value in f, -0.5, l, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60095 and 33936?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20764340.\nAnswer: 2, 5, 19, 53, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*a**4 + 40*a**4 - 41*a**4)*(4*a - 7*a + 4*a - 5*a - 2*a + 4*a + (2 + 0 + 0)*(2*a - 2*a + 2*a)).\nAnswer: -48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 1 + 1)*((2 - 5 + 1)*(-1 + 3 - 4) + (1 - 1 + 1)*(397 - 345 + 287)).\nAnswer: 343*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) 0.3 (d) 1711 (e) -4 (f) 23\/6 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/(-72))\/(1\/((-1)\/(-1))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 2. Let c(b) = 4*b - 9. What is -2*c(g) + 9*q(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*p - 305, 0*q + 46 = -p - 2*q. Let g = -48 - p. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1667204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -368825, -737648, -1106457, -1475246, -1844009?\n\"Answer: c**3 + c**2 - 368833*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4110, -24, 1 in decreasing order.\nAnswer: 4, 1, -2, -24, -4110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 23*q**2 + 55*q + 1059. Let x be a(-17). What is the greatest common divisor of 762 and x?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/56, -0.8 in ascending order.\nAnswer: -0.8, 1\/56, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-16))\/(-1))\/(6\/(-64)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 150972543.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 7\/6*m**3 + 13 - 1\/12*m**4 - 3\/2*m**2 - 2*m. Determine t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 96 = 0. Let y be (-2)\/(-7) + u\/14. Suppose y = -3*f + 5*f - m, 5*m = 5*f. Solve -w + f*w = -4, 2 = 5*h - 3*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020000 + -10?\nAnswer: 12012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(22\/3)*i**34*(i\/(i*i\/i**(3\/23)))\/(i**14\/i) assuming i is positive.\nAnswer: i**(1895\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**5 + 0*p**5 + 3*p**5 + (0*p**2 + p**2 + 4*p**2)*(4*p**3 + p**3 - 4*p**3))*(-2 + 7 - 3).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222845717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**2. Let d(w) = -671286*w. Calculate d(m(s)).\nAnswer: 4027716*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 7*i - 26. What is the remainder when i is divided by (12\/7)\/((-20)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*v - 296*v = 602. Suppose -13*k = -564 - v. Calculate the least common multiple of k and 55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097504.\nAnswer: 2, 34297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 95 = -5*u, -47 = -0*u - u - 5*d. Suppose u + 310 = 2*o + 5*j, 2*o + 2*j = 320. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 638*h + 70. Let x(p) = -p. Give x(i(u)).\nAnswer: u**2 - 638*u - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 0 + 0 - 228*f + 228*f - 9*f**2 + (2 + 2 + 1)*(-2*f**2 + 4*f**2 - 9*f**2) as z*f + g*f**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136135241279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -30, -1, -3\/5, -4 in decreasing order.\nAnswer: -0.5, -3\/5, -1, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1607 and -0.06.\nAnswer: -96.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60477260807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5295 is divided by 4985?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 897322581 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.021 less than -15.88?\nAnswer: -34.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*w**3 + 195*w**3 - 39*w**3 + 3*w**3 - 2*w**3 - 2*w**3 + (0 + 0 + w**2)*(-2*w + 0*w + w) as k*w**3 + z + u*w + d*w**2 and give k.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 196404 (base 12) in base 4?\nAnswer: 1230333010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31\/279*(-12)\/(-10) - 12943\/(-15) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184747 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2711*b + 2049*b + 33320 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 425*i**6\/6 + 14*i**3 + 2*i + 401. Find the third derivative of y(p) wrt p.\nAnswer: 25500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 + -7.68. Let r = t - -2. Let n = -0.114 - r. What is n rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86264330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-22) + 4\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 + 1. Let a(y) = 12*y**2. Determine 4*a(b) - 3*f(b).\nAnswer: 9*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*j**4*n - 2*b*j**3*n**3 + 7*b*n**3 + 13*j**3*n**3 - j**2*n**3 - 167*n**3 wrt j.\nAnswer: 24*b*j*n - 12*b*n**3 + 78*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Suppose -4*n = 5*i - 19, f*i + 5*n = -4*i + 17. Solve o = -i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -246, -389, -530, -669?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzzzkzz. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vff when three letters picked without replacement from vrfvffvrfrrrfrvr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4785\nAnswer: -4\/4785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181006?\nAnswer: 2, 367, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*q = -27, -5*l + 20*q - 17*q - 24 = 0. What is the closest to -0.2 in -5, -8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1107.\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24936, 24935, 24934?\nAnswer: 24933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108927416 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357825?\nAnswer: 5, 7, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -656*r + 6558. Let i be d(10). Let f(z) = -18*z**2 - 26*z + 4. Calculate f(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 2\/5 (b) 4\/3 (c) 0.0218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14930166 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16263, 16255, 16233, 16191, 16123, 16023, 15885?\n\"Answer: -t**3 - t**2 + 2*t + 16263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2913*f - 11013 = 5103*f + 445899 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2604982, 2604987, 2605002, 2605027, 2605062?\n\"Answer: 5*q**2 - 10*q + 2604987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*a + 290, -3*a = -g - 225 + 43. Let i = 298\/5 - a. Let b be ((-1)\/(-6))\/((-6)\/(-9)). Is i bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -3)\/(-3 - -2). Suppose 8*x = 4*x. Which is the closest to s? (a) -1 (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20013221031 (base 4) to base 2\nAnswer: 1000000111101001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 4. Let w(m) = -m - 20. Let c be w(-26). Calculate i(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i - 3*i - 10*i)*(3 - 3 - 913*i**3 + 0 + 2940*i**3) as n*i**3 + w*i**2 + h*i + p + r*i**4 and give r.\nAnswer: -14189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36459 - 123789\nAnswer: -87330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-25) - 6\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = 3. Suppose l - 4 = 2*b - 11, w*l + 3*b - 17 = 0. Which is greater: -1\/20 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2343 + -2760.8. Let v = k + 418. Which is the closest to v? (a) -2 (b) 2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 - 10 = -3*r, 2*o - 4 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 16. Let u(l) be the first derivative of l**4\/24 + 4*l**3\/3 - 12*l**2 + 25. Let y(h) be the second derivative of u(h). Give y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 6) + -9 + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308125613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-134)\/(-44) - 3). Let c = h + -13\/99. Is c at least -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(o + 1 - 1) + (-3 + 2 + 2)*(-38 + 38 + 13*o))*(2*o - o - 3*o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 15. Let g = 5 + b. Suppose -4*c - 4*v + 12 = 0, -4*c - 5*v + 6 = -g*v. Solve 9 = -c*w + 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 446?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 15 + 13 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121978 is divided by 547?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, 3\/4, -890, 6.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -47. What is the greatest common divisor of q and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g + 0 - 10*g - 1. Let q(s) = -5*s - 3. Let v(d) = -3*d - 1. Let k(r) = 2*q(r) - 5*v(r). Let a(j) = 4*i(j) - 5*k(j). Differentiate a(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f - 5. Let l(z) = 1201*z - 56. Give -22*a(g) + 2*l(g).\nAnswer: 2644*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*-2 + sqrt(88))\/(sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128) + (-1*sqrt(128) - sqrt(128) - sqrt(128)) + sqrt(128)).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -4, 52, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 1 + -22 - (-132 - -3 - (4 + -2))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82668*o**2 - o - 5931?\nAnswer: 165336*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -3*t**3 + 4*t**2 + 8*t + 971. Let k(a) = 8*a**2 - 7*a - 7. Give 7*k(g) + 6*q(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7170 is divided by 3305.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10 - 5)*(-u + 2*u - 2*u) + u + 0*u + u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.008 - 15. What is v rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/27)\/(z*(z*z**16\/z*z)\/z))\/((z*z\/(z**(-1\/3)\/z))\/z**2) assuming z is positive.\nAnswer: z**(-497\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6152 or 6168?\nAnswer: 6168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(1\/(0 + -1)). Suppose 3*s - w = -0*s. Let l(o) = -2*o**2 - o**2 + o**s. Let a(r) = -r**2. What is a(l(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -68229*i**2 - 297*i - 1782. Let k(d) = 461*d**2 + 2*d + 12. Determine -6*a(q) - 891*k(q).\nAnswer: -1377*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 85*v - 11. Let k(j) = -16*j + 2. Let r(x) = -11*k(x) - 2*s(x). Let o(a) = 15*a**2. What is o(r(y))?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o - 2. Let f(u) = 4*u - 1. Suppose 5*s + 9 = 34. What is s*m(n) - 8*f(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 420 - 416. Let s(d) be the second derivative of 0 - 1\/21*d**4 + 1\/35*d**5 + 0*d**2 - q*d - 4\/21*d**3. Factor s(n).\nAnswer: 4*n*(n - 2)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12432 or 1.6?\nAnswer: 12432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -17*p - 4. Let v be y(-7). Let j(a) = a**2 + 16*a - 75. Let w be j(-20). What is the greatest common factor of w and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3418 + -13675\/4. What is the smallest value in k, -2, 2.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87973895.\nAnswer: 5, 17, 19, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 968 + -953. Which is smaller: 312\/23 or q?\nAnswer: 312\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -6227?\nAnswer: -4\/6227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-3) - (-4 + -1). Suppose 0 = 5*b + 4*f - 1835 - 634, -8 = h*f. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 16*d\/3 - 19.\nAnswer: (d - 19)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h + 4. Let l be s(-3). What is the units digit of (4\/l)\/((-2)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 3. Suppose 0*i + 5*c = -2*i - 15, -17 = 3*i + 2*c. What is the closest to -1\/3 in k, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-3\/7))\/(l*l**(-2)*l)*l**(-10)*l*l**(2\/15)*l)**(2\/43))**(-29) assuming l is positive.\nAnswer: l**(39208\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 1. Let j(v) = 2*v + 15. Let t(z) = -3*h(z) + j(z). Let i be t(10). Let m(g) = -5*g - g**3 - i*g - 4 + 5*g + 4*g + 4*g**2. Give m(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169558 bigger than 2169561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5 = -4*z, 0 = -2*z - z + 4*u - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-12))\/((-3)\/(-9)). Let q(t) = -t**3 + t**2 + 1. Let o(x) = 9*x**3 - 6*x**2 - 6. Determine n*o(s) + 6*q(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/2 and -19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.423375 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -20*h**3 - 2*h**2 + 1. Let g be i(-1). Let s = -20 + g. Suppose -l + 2 = -4*w, -6 = -l - 2*l - 5*w. Sort 5, s, l.\nAnswer: s, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 7*h + 5. Let i be a(8). Let s = 16 + 3. Let k = s - i. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/12 + k**3 + 6*k**2. Let l(m) = 5*m + 13. Determine 7*c(j) - 3*l(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*j, 0 = 3*d + 5*j - 11779. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142831459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2139128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18161412*i**2 + 2*i + 17693749.\nAnswer: -36322824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 9. Let t = o - -4. Suppose -2*j - 16 = -6*j. Which is the third smallest value? (a) t (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18042 and -22236.\nAnswer: -40278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 1840 = -1424. Calculate the least common multiple of 21 and (-4 - -3)\/(-1)*j + 5.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-16))**(-36)*(((x*x**(4\/11))\/x)\/x)\/(x\/x**(-3\/22)) assuming x is positive.\nAnswer: x**(11841\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 4397 - (9 - (-11)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 907*y - 917*y + 1217630 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4595, -4433, -4273, -4115?\nAnswer: -3959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 93*f**2. Let r(o) = 2*o**2. What is c(r(u))?\nAnswer: 372*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:22 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 - z - 199.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/882805 and 53\/84.\nAnswer: 10593660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 50 + 11*h**2 - 4*h + 2*h + 53 + 2*h**3 + 0*h**3 to the form x*h**3 + j + f*h**2 + n*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 21028, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -432*g**4 + 18649 - 18649 + 9*g**4 + 6*g**4 + 4*g**4 + (0 - 2*g + 0)*(5 - 5 + g**3) to the form s*g**2 + m + p*g + h*g**4 + r*g**3 and give h.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8056 = -149*u + 22956. What is the remainder when 804 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(4*d - 4*d + 5*d**2) - 1 + 1 + d**2 + 6 - d**2 - 3 - 5 + (-3*d - 6*d - 8*d)*(-5*d - 2*d + 4*d).\nAnswer: 46*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -32. Let l = 565 - 331. Is (h\/(-36))\/((-2)\/l) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68872 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2) + -5 + sqrt(2)*-2 + 1.\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3728, 3727, 16152, 33547?\n\"Answer: 2485*c**2 - 6213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3958*t**2 - 3246*t?\nAnswer: 7916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 9904*l + 678178. Calculate y(68).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 14*i**2 - 14*i + 1. Suppose 0*v + v - 15 = 0. Calculate the smallest common multiple of t(v) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 8282.7238 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21501 - 0.2170942. Round s to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23144303*j**4 - 2*j**2 - 814*j + 309850?\nAnswer: 277731636*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -14*c. Let f(o) = -2*o**2. Determine v(f(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + (-1 - -1) + 1. Let g(o) = -o + 6. Let w be g(-3). Let s = p + w. Put 2, 0, s in decreasing order.\nAnswer: 2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + a + 5. Let l be i(-3). Let c = l + 39. Let q = 95 + -85. Calculate the lowest common multiple of c and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 838*q**4 - 2*q**3 + q + 5893 wrt q?\nAnswer: 10056*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57470*k**3 + 57472*k**3 + 0 - 5 + 5.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - q + 22)*(-2 + 4 + 0)*(-5 + 2 - 1)*(0 - 5*q + 0) in the form d*q + y*q**2 + w and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8268 - -41342\/5. Factor -2\/5 + 0*w + y*w**2.\nAnswer: 2*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(70)*1)\/sqrt(7))\/(sqrt(20)\/(sqrt(10)*5) - (sqrt(8)*4 + sqrt(8))\/sqrt(4)).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.53 + -0.53. What is the nearest to 1 in -0.5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -210853648209 and -0.2.\nAnswer: -210853648209.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*w + 29*w - 229*w - w**3 - 34*w.\nAnswer: -w**3 - 430*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -409 - -11869\/29. Sort 0, j, 1, 4 in increasing order.\nAnswer: 0, j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -309, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a95 - -203b1?\nAnswer: 1c619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 147\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20881)\/11932*1\/7*5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 857 + -257. Is 36 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14765 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -9 (b) 1 (c) -2 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -662, -2719, -6154, -10973, -17182, -24787, -33794, -44209?\nAnswer: -56038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 22. Suppose -y + 59 = -s. Find the third derivative of -9*o**2 + 2*o**5 - 102*o**3 + y*o**3 wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l**2 + 2*l**2 - 8*l)*(0 - 1 - 4)*(14*l - 5*l + 2*l).\nAnswer: -55*l**3 + 220*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*l - 1)*(-9*l**2 + 4*l - 2*l + 14 - 12) in the form h + n*l**2 + p*l**3 + o*l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -14. Suppose x - 7 = p. Is (-2 + -94)\/((-12)\/x) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -81 + -87 + 175.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*n + 1028, -3*s - 14*n + 1523 = -19*n. Calculate the remainder when 530 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39232 by -130.\nAnswer: -19616\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-2 - -3)*-1. Let s(y) be the first derivative of -2*y**2 + z - 1\/3*y**3 + 7*y. What is s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*i**3 + 8 - 44*i - 14*i**2 + 27*i**4 - 15*i**3 - 12*i**2 + 116*i**2.\nAnswer: (i - 1)*(3*i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1165 = -3*w + 509. Suppose 26*v = w - 38. What is the greatest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 5296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 63*t + 69*t = -74, -t = -2*s - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 920 (b) 1 (c) 3\/5 (d) 4\/7 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 1717441*c - 1717474*c + 3434805*c to f*c + q and give f.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -40067 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*f + 5*w - 17, -2*f - 5*w + 15 = 0. Suppose -g = -f*g - 8. Calculate the highest common divisor of 32 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/4 - 10*u**3\/3 + 33*u**2\/2 - 36*u - 216. Suppose t(p) = 0. Calculate p.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 2. Let b be i(2). Let x(k) = 65*k + 25. Let h(t) = 129*t + 49. Let j(l) = 4*h(l) - 7*x(l). Is j(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eell when four letters picked without replacement from lllleeeeeleleeelleel.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61, 100, 139, 178, 217?\n\"Answer: 39*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - 3*d**4 + 3*d**4 + (4 - 5 - 1)*(-2*d**4 + d**4 - d**4))*(6 - 1 - 3)*(-24*d - 125 + 125).\nAnswer: -96*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o - 45. Let q = -23 + o. What is the highest common factor of 198 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0, -2, -3, 0.20256?\nAnswer: 0.20256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + 2. Let b = 6 + -24. Let l = 7 - b. What is the remainder when x is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3\/9 + 7*t**2\/6 - 2*t - 259. Factor z(x).\nAnswer: -(x - 6)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 14.34\nAnswer: -100.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = -2*b, -2*b = 3*s - 0*b - 8. Let k = -5 - -4.6. Let m = 0.49 + -0.09. What is the second smallest value in m, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/g)\/(g*g\/g**(-10)))**(-4\/23)*(g**(-2\/9)*g\/g**9)**(-3) assuming g is positive.\nAnswer: g**(1762\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38927, 77855, 116783, 155711?\nAnswer: 194639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f + 0*f**2 + 3288 - f**2 - 3252. What is the remainder when 135 is divided by s(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-7))\/(9\/6). Let d be (-174)\/(-4)*(-57)\/((-52668)\/88). Is n less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108762 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(1\/2))**(-11\/7) assuming o is positive.\nAnswer: o**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 4*j + 90 - 58, -16 = 4*j for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 21*a**3 - 21*a**3 + 7*a**4 - 1. Let f(x) = -x**4. Let i(q) = 4*f(q) + p(q). Differentiate i(c) with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -193, -194, -197, -202, -209, -218, -229?\n\"Answer: -a**2 + 2*a - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5418)\/(-2772)*-12 - -24?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5655*w + 62323. What is i(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.863666147 to two dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 5*g - 1. Suppose 2*y + 0*y - 20 = 0. Let f = -14 + y. Calculate q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f + 5*f + 752. Let k = f + -98. Let d(w) = -2*w**3 - 7*w**2 - 4*w - 10. What are the prime factors of d(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 9. Give k(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 + -138. Calculate the remainder when 107 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8579 = p + 24798, -4*k - 2*p + 32426 = 0. Let c = k + 2663. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9.487, -3, -0.017, -5, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -713, 4 in descending order.\nAnswer: 145, 4, -713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210230300 (base 4) to base 5.\nAnswer: 101144324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - 79) + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5834*h**3*q**4*t + 8046*h**3*t + 4*h**3 - 70*h + 15918*q**2*t - 10 wrt q?\nAnswer: -23336*h**3*q**3*t + 31836*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + (sqrt(15) - (sqrt(15) - sqrt(45)\/sqrt(3))))*-6)\/(-2*sqrt(605)).\nAnswer: 6*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15144?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -2) + (-5 - 3) - 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.14. Let m = u + 4.11. Which is the nearest to m? (a) -0.5 (b) 1\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 108, 3, -3\/4, -2\/7, -0.03?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:27 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3860 divided by 4.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*t + 6*k - 26, -4*t - 224*k = -225*k + 63 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15 - -11 - (3 + -7). Suppose f*i + 6*i = 8760. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -8173.\nAnswer: 6\/8173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -25 - 167 + 15 - 630*s - 234. Let j(g) = -158*g - 103. Let l(p) = -2*b(p) + 9*j(p). Differentiate l(o) with respect to o.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0 - 9 - c + 2*c + 0*c. Let m be j(11). Solve 3 = -m*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 16071 = -3354. Let s = 5272 - u. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67031? (a) -1 (b) -2 (c) -51 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -994272, -994274, -994276?\nAnswer: -994278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261696626?\nAnswer: 2, 130848313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723894 is divided by 4641?\nAnswer: 4539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3956, 3958, 3960, 3962, 3964?\n\"Answer: 2*f + 3954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 894750826 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, -122540, 5, -5.\nAnswer: -122540, -5, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.9 times -0.2?\nAnswer: -9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4 - 564*b**3 + 3276*b**2 - 4860*b = 0.\nAnswer: 0, 3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 0 - (1 - 4)) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(3 - 28\/10). Suppose b = i*b - 0*b. Suppose -19*w + 17*w + 172 = b. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*j + 156*j = -168*j + 56. Which is the fourth smallest value? (a) 2\/171 (b) -0.1 (c) -0.2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-18))\/(4\/6). Let x = 6764.6 - 6765. What is the nearest to 1 in s, -3, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126 + -1990?\nAnswer: -2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 10, 47, 106, 187, 290, 415?\n\"Answer: 11*t**2 - 18*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (-16 - -1) - 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18761742 or -56285230\/3?\nAnswer: -56285230\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:31 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336837 is divided by 4719.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*h*h\/h**(8\/11))\/(h**(2\/13))**(-43) assuming h is positive.\nAnswer: h**(-16\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 + -44.1. Let t = 39.99825 + l. What is t rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 k, and 1 z when four letters picked without replacement from {i: 1, e: 4, z: 2, x: 3, k: 4, v: 1}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 37*c**2 - 31*c - 53. Let h(g) = 2*g**3 + 19*g**2 - 16*g - 27. Let s(u) = 5*h(u) - 3*j(u). Give s(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**6\/60 + 19*w**5\/80 + 67*w**4\/48 + 13*w**3\/3 + 15*w**2\/2 + 6*w + 96. Factor v(z).\nAnswer: (z + 2)**2*(z + 3)*(2*z + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*f = -3373*f + 33305 + 25842 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5871 and 1964828.\nAnswer: 5894484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1942*v - 1933*v + 3876*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m - 5 - 8*m**2 + 13 + 3*m**3 + m**3 + 0*m**3.\nAnswer: 4*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -23.06.\nAnswer: 9.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -1 + 21, 3*f = 4*r - 13. Let l = -22 + f. Let o = 37 + l. Calculate the remainder when 14 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3 - 2286*h**2 - 876276*h = 0.\nAnswer: -303, 0, 1446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.4 (c) 0.04 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 2, f: 1, r: 1}. Give prob of sequence pp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.3, -0.2, -0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -43\/2, 2\/3, -411?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(576)*-2)\/sqrt(8).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47508 by -2.\nAnswer: 23754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - 0. Let c = o + 0.1. Let q = 0.02965 - -0.97035. What is the third biggest value in c, -0.3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*m**3 + 0 - 1\/3*m**4 - 5\/3*m**2 + 2\/3*m.\nAnswer: -m*(m - 2)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 3*z**3 - z**3 + (-3*z - 2*z + 3*z)*(220*z - 220*z - 598*z**2) as w*z + k + b*z**2 + t*z**3 and give t.\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d + 42 + 33. Calculate the remainder when 187 is divided by (-44)\/d*80\/32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Let v = n + 0.2. Let a = -11.09 - -11. What is the closest to a in v, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2366 and -29\/10.\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7044234.\nAnswer: 2, 3, 109, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d - 66 = 7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8727.6 times -0.011?\nAnswer: 96.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100200 by 5.\nAnswer: -20040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:13 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 564994 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/120 + p**5\/12 - p**4\/6 + p**3\/3 - 3*p**2. Let s be u(2). Suppose -2*n + s = -10. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285\/2 + -147. What is the common denominator of ((-4)\/(-10))\/((-32)\/410) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11564\/9 - 23125\/18. Put -4, 0.09, a in ascending order.\nAnswer: -4, 0.09, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 33*a + 19. Let j be h(-16). Suppose j*w - 2*w + 2*n + 4 = 0, -4*w = -n - 20. Solve 0 = 2*g + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9*l)**5*(l*(l*l*l**8*l)\/l)**7)**(-42) assuming l is positive.\nAnswer: l**(-5334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -212.79 - -211. What is z rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 + l. Suppose -2*u = -5*u. Let b = 1 - u. Is 6 a factor of g(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 12*r - 22. Let i be a(-10). Let x be 0 + 4\/((-12)\/(-15)). Let p be 2*2*(-6)\/(-8). Put i, p, x in descending order.\nAnswer: x, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o*o*o*o**28*o)*o)\/o)\/o*o))\/o)\/(o\/(o\/o**(-24))) assuming o is positive.\nAnswer: o**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -157256 divided by 1?\nAnswer: -157256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*o + 15461 = 0, 4*l - 6*l = 5*o - 10324. Suppose 7*y = -l + 16630. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -366, -14.01, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*h**5 + 174820*h**4 + 45609105*h**3 + 967474340*h**2 + 2472832640*h - 71443200 = 0. Calculate h.\nAnswer: -488, -20, -3, 1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m*m**(-2\/3))\/m)*m*m)**(1\/6) assuming m is positive.\nAnswer: m**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 + 35. Let v(h) = -4 + h**2 - h**2 + h**2. What is the remainder when j(0) is divided by v(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -389.7 (b) -0.5 (c) 59996\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1.9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10.8. Let j = 1.45 - z. Round j to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Suppose 5 = t + b - c, 4*b = 5*t - 91. Suppose 4*a + 3 = t. Solve 2*f + 3 - 1 = -4*s, -3*f + s = a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/15 + m**4\/6 + 2*m**2. Let l(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247440889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Suppose 6 = j*o - 4. Let r(s) = -2*s - 2. Let y(w) = -5*w. Let f(b) = -2*r(b) + y(b). Calculate f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4.3, 0, 73, 2\/5, 0.41?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11960423000 rounded to the nearest 1000000?\nAnswer: -11960000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:25 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3657 + 0.0343. Let u be (-1 + -2)*1 + -1. Which is the fourth smallest value? (a) u (b) -5 (c) f (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:43 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*k + 30, 5*k - 6 = 4. Let w(p) = -51*p - 2 + 205*p - 51*p - 48*p - 58*p. Determine w(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (0 + 0))*-1. Suppose -4*d + 2*j + 348 = -a*j, -2*d + 171 = -5*j. Suppose -w + 398 = 5*l, -d = -l - 0*l - 3*w. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -28) + (-4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373696 is divided by 865.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6705\/4917*(-6)\/55)\/(4\/(-44)*1).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -159, -13, -1.\nAnswer: -159, -13, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 6*w - 3. Let i be z(5). Let m = 10 + i. Suppose 4*t - 4*p - 81 = 11, 5*p = -m*t + 60. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22110636893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqllllqlllllllllll. Give prob of sequence ll.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 47 + 0 + 0 + (0 + 3 - 3). Solve g*o - 43*o = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6)**(8\/3)*(((((k\/k**15)\/k)\/k)\/k)\/k)\/k*k**(3\/4))**(-9\/8) assuming k is positive.\nAnswer: k**(81\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a7 (base 12) in base 6?\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16 - 13*n - 4*n - 15 + 31. Let i(z) be the first derivative of z**2 - 1. What is i(w(x))?\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - j - 41 = 0, -56 + 104 = 3*h + 5*j. What is the first derivative of -2 + 130 + h + 279*s - 13 wrt s?\nAnswer: 279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 99.847 and -68.4.\nAnswer: 31.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 3744.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y + 16 = 0. Suppose 0 = -i - x + 48, 242 = 5*i + y*x - x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -152, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1159*w**3 - w**2 + w + 5. Let v be g(-3). Round v to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 125*c + 3. Is n(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/9*3\/(-2). Let j(s) = -5*s**2 + 5*s - 2*s + 11*s**2 + 1. What is the tens digit of j(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 310 + -11777\/38. What is the biggest value in 0, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207 or -205?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22680776*n**4 + 24763934 wrt n?\nAnswer: 90723104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 - 180. Let k(w) = -2 + h - w + 1 + 0*w. Let z(b) be the third derivative of 11*b**5\/15 - b**2. What is k(z(o))?\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*b**5 + 18*b**4 + b**3 + 15*b + 44.\nAnswer: -700*b**3 + 216*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfa when three letters picked without replacement from {k: 1, a: 1, f: 2, r: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168 - 81) + -98 - ((1 - 0) + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1226, -4, 43, -19, 3.\nAnswer: -19, -4, -1, 3, 43, 1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34730051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 8:34 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + r**2 + r - 1. Calculate the remainder when w(1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 + 2*c**2 + 9*c. Let s(v) = -25*v**3 + 11*v**2 + 46*v. Determine 11*p(r) - 2*s(r).\nAnswer: -5*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*g + 8*g + 2080. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -286 + 30. Let n be 4\/10 - a\/20. List the prime factors of 333\/6*5\/((-15)\/n).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l - 13. Let j(c) = -18*c - 1. Let k(f) = 82*f + 12. Let b(p) = 5*j(p) + k(p). Determine 11*b(t) + 6*y(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 209, 388, 617, 896, 1225, 1604?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-1 - -7)*13\/(-13). Suppose -x*w = -w + 60. Let c be (0 - 14\/4)\/(6\/w). Solve -4 = -g - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 323, 560, 797, 1034, 1271?\n\"Answer: 237*u + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 442255528 to the power of 1\/2, to the nearest integer?\nAnswer: 21030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1880458 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9293970273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 910605284 to the power of 1\/2, to the nearest integer?\nAnswer: 30176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -0.76 (c) -0.5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35126325 - 5?\nAnswer: -35126333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/((-2331)\/10752))\/(-4).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17692155 and 675?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/42 (c) -3\/2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 3*r**2 + 3*r + 1. Let n(g) = g**3 + 2*g**2 - 3*g - 3. Let t be n(-2). Let y(q) = q**t - 1 - 26*q - 28*q + 53*q. Calculate 3*y(s) + z(s).\nAnswer: 2*s**3 + 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from ppppppwppffff?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/33)\/(c*c\/(c*c*c**4)))\/(c*c**(-1\/5)\/c)**(8\/3) assuming c is positive.\nAnswer: c**(246\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opkk when four letters picked without replacement from {j: 2, o: 1, k: 2, p: 1, y: 1, n: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.650109 kilograms?\nAnswer: 8650.109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716054926 to the power of 1\/2, to the nearest integer?\nAnswer: 52116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2. Let n(a) = -11*a - 20. Give z(n(o)).\nAnswer: -484*o**2 - 1760*o - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8176 - 8180. What is the smallest value in 4\/7, s, -0.4, 2, 1\/18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -63, -138, -243, -378?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -1215.\nAnswer: -5\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 171 and 6.\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.042 or 301?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11668544351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -373*n. Let d(l) = 8*l**2. Calculate d(k(x)).\nAnswer: 1113032*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**8\/100800 + x**7\/2520 + x**5\/30 - 4*x**3\/3 + x**2 - 5*x. Let f(j) be the third derivative of a(j). Factor f(q).\nAnswer: q*(q + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 741 = -594. Solve 0 + 3\/5*v**4 - 9\/5*v**d - 3*v**2 + 3\/5*v**5 - 6\/5*v = 0 for v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2540040 by -3660.\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(5) + 5 - (sqrt(20) + 0)**2.\nAnswer: -11 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 - -0.69. Let m = x + -0.74. Let p = -0.4 - -2.4. Which is the smallest value? (a) p (b) -3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517572 (base 9) to base 5.\nAnswer: 34314004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1420259242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -456 + -4220?\nAnswer: -5006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 11*y**2 + 13*y - 10. Let g be h(12). Solve 9*p = 3*r + 4*p + 5, 5*p - 30 = -g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 + -102?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -100?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/12 - -1\/12. Let w = -716 - -720. Determine h, given that -h + 0 - 1\/2*h**2 + t*h**w + h**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48363 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.991 - 0.009. Which is the closest to i? (a) -11 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 383*d**2 + 2*d + 2*d - 639*d**2 + 315*d**2. Let f(o) = -o. What is f(b(y))?\nAnswer: -59*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.033, 1417, -5, 0.03 in descending order.\nAnswer: 1417, 0.03, -0.033, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*m, 5505 = 5*g - 5*m - 585. Is g 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 57 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 62.0414*-1.18\nAnswer: -73.208852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15 + 3 + 2*u + 0*u. Suppose -4*a = 5*v - 42, 2*v + 3 = 3*a - 17. What is the tens digit of s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -21. Let n be 2\/r + 5\/4. Let v(o) = -3*o**3 + 0*o**3 + 1 - o**2 + 0. What is v(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172611?\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -734523 (base 8) in base 15?\nAnswer: -4c4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1428 - 331114?\nAnswer: -329686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018104 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/15)*(r\/(r*r**1))\/r)\/(r\/(r*r*r*r**(-1\/11))*r)**17 assuming r is positive.\nAnswer: r**(2242\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -157313a + 5?\nAnswer: -1573135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 - 734*l - 2220 = 0.\nAnswer: -3, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*j**2 + 27194*j - 769864 wrt j?\nAnswer: -36*j + 27194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/120 + x**5\/12 + x**4\/24 - x**2. What are the prime factors of h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*y + 6*y**3 - 46*y - 43*y.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686463974.\nAnswer: 2, 7, 157, 312313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*y + 8, -3*y + 5 = -4*g - 17. Let l be 2\/(-9) + y\/(-18). Suppose 4*m = 2*m - 4*u + 6, 5*m = -3*u + 8. Do l and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-544)\/680)\/(4*(-1)\/(-30))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26336)\/7407*(-2)\/48.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 2 - 1 + 1 + (1 + 0 - 2)*(4*n - 5*n + 3*n))*(4 + 7*n**3 - 4) to the form u*n + m*n**4 + i*n**2 + r*n**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1407 and 50\/39?\nAnswer: 18291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2594793 is divided by 864931.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.695 + 0.005. Let h = 0.51 - k. What is h rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52184110?\nAnswer: 2, 5, 11, 181, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - r - 2. Let i be (-18)\/(-10) + 3\/15. Is n(i) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/25 + (-114)\/(-10). Let s = r + -1. Suppose -5*t + 31 = -3*d, -t + s = -4*d - 3. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 0. Suppose -27*x + 2*w = -30*x + 26, -22 = -3*x + 2*w. Suppose 0 = -2*i + 6*k - 11*k - 3, -4*k = -4*i + x. Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464716 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.19 - 0.19. Let u = 8.041 + -0.041. Let a = u - n. What is the biggest value in a, 0.2, 0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13648.5 - -13648. Let i = 316\/1155 + 2\/165. Which is the third smallest value? (a) z (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 - 869*m**2\/2 + 33277*m\/2 + 8428 = 0.\nAnswer: -1\/2, 43, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 plus -4.0298?\nAnswer: -6.2298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/326646 and -107\/9472734?\nAnswer: 9472734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2673885419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12012 - -24004?\nAnswer: 40020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 133674408 a multiple of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 152. Let p = 41 + x. Factor -49\/3*l**p + 7*l**2 + 4\/3 + 8*l.\nAnswer: -(l - 1)*(7*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/(4*(-19)\/1520)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5766*x - 219081. Determine t(-38).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 7, -693.\nAnswer: -693, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1220911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3040 by -45095.\nAnswer: -608\/9019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 139212517*a**4 - 246306135 wrt a?\nAnswer: 556850068*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19797164 and 44.\nAnswer: 217768804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 10965881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 - 4*q**2 - 4. Let g(c) = 13*c**3 - 8*c**2 - 9. Give 9*f(n) - 4*g(n).\nAnswer: 11*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 129 - 23\/((-46)\/36). Solve -7*v + w = 14*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*q = 5, -p - 2*p = -2*q - 11. Let c be 3 + (p - 0) + -4. Let m = -2 - -5. Solve -21 = -m*o - 2*b, -23 - 3 = -c*o - 2*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -13. Let r(o) = 25*o**3 + 2*o**2 - o. Let s be r(i). Solve -2*w - 10 = -z, 3*z + w - 6*w = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 27905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + 13 + -5 + 1991.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2617465, 5234480, 7851493, 10468504?\n\"Answer: -l**2 + 2617018*l + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 10*y**2 + 51. Let f(q) = -q**3 + 3*q**2 + 17. Let i(z) = -11*f(z) + 4*o(z). Suppose 88*w - 21 = 85*w. Is i(w) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2272 - -24132. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 9*y + 4. Let s(a) be the first derivative of -a**3\/3 + 2*a**2 - 2*a - 537. Let j be 1\/(-1 - 0)*-9. Give j*s(k) + 4*x(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = 2. Let f = 2 - y. Let n be 2\/(0 + f + 1). Solve -20 = 5*c - c + 2*s, -4 = 2*c - n*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 5*s - 3*s. Let j(q) be the third derivative of q**5\/60 - 30*q**2. Determine v(j(g)).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**9\/63 + y**7\/210 + y**5\/12 + y**4\/3 - 4*y**2 + 14. Find the third derivative of d(z) wrt z.\nAnswer: -960*z**3 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 0) + -1 + 3. Let l(v) = v**3 - 9*v**2 + v - 1. Let h(y) = y**2 + 15*y + 37. What is the smallest common multiple of l(p) and h(-13)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 48, 2\/9, -1\/5, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1 + i + i - 4*i**2 + 2*i**2 + 2. Suppose -3*g + 12 - 3 = 0. Determine h(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 4, 0.4, -160.6, 0.04 in increasing order.\nAnswer: -160.6, -5, 0.04, 0.4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1122 and 51986?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Let a be -1 + 2*(-2 + y). Differentiate -2*g**2 + 3*g**4 - 2 - 3*g**2 + a*g**2 wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (72377\/461)\/(2\/8) is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + r**2 + 14. Let d = 836 - 826. Calculate the lowest common multiple of d and c(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 90291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*36\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 155 (b) -2\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 176*l - 1591. Determine s(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -56. Suppose l = -4*p + 5*p. Suppose p - 2 = t. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-402)\/(-10) - (-16)\/(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t - 39 = 3*v + 47*t, -v + 19 = 4*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/90 - z**5\/30 + z**4\/3 + 5*z**3\/3 + 6*z**2. Let w(i) be the first derivative of v(i). Let w(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:11 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1 + sqrt(252) + -2 - sqrt(252))*2 + -1 + 0)*2)**2*-4.\nAnswer: -28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.0475295 weeks?\nAnswer: 0.3327065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -4. Suppose -g = z + 3. Let n(c) = -c**3 - 8*c**2 - 8*c + 8. What are the prime factors of n(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 26*i = 27*i + 18754, 4*i = 24. What are the prime factors of u?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 4 + (-5 - -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -14. Let q = 1 + o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d4 (base 14) to base 7\nAnswer: -2154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*q = 54. Suppose q = 4*t - 3. Let x be 4 + t\/(-9)*0. Solve -1 = -x*w + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 72. Let w = 41.000076 + t. Round w to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.123 and 0.1?\nAnswer: 0.0123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8*v + 2*v - 15*v + 7*v.\nAnswer: 2*v - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6 + 7)*(0 - (-3 - -10))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 15, 59, 151, 309, 551, 895?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.11. Let k = u - -4.91. Let g = 9.84 + -9.74. Which is the fourth biggest value? (a) k (b) g (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l + 4*l + l + 394 - 395 + 2165*l**2. Let o(c) = -2*c. Give m(o(q)).\nAnswer: 8660*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-37)\/d*d)\/d*d*d)\/d)\/d*d)**28\/(d**(-19)\/d*d*d\/(d*d**(-1\/3))*d) assuming d is positive.\nAnswer: d**(-3055\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 7*b**2 - 6*b - 11. Let v be k(8). Let r = v - 3. Suppose 4*s + 2 = -2*j, 0*s + 4*s + 6 = r*j. What is the closest to -2 in s, 2, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Suppose 3*c + 78 = 9*c. Suppose -66 = -3*d + 3*o, -3*o = n*d + c - 108. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2789134.5 months to years.\nAnswer: 232427.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10048, 10047, 10046, 10045?\n\"Answer: -b + 10049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18156.\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3252319.03580349 + 3252319. Let p = 0.0358 + g. Round p to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/36)\/(3\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417765 - -163?\nAnswer: 1417928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-12)\/(-72))\/(60\/456)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11374 and 16698?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721174 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 274, -111, -496, -881, -1266, -1651?\n\"Answer: -385*u + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-9))\/((204\/(-252))\/(-17)))\/((-222)\/74)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 9 (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (67 - 66)\/(-1 - (1 - 1)). Put a, 10, -4 in ascending order.\nAnswer: -4, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1399 (b) -1\/4 (c) 4 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4044 and 14067816?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 433 + 5*r**3 - 435 + 2*r - 3*r**4 + r**2 - 6*r**4 in the form p + o*r**3 + y*r + s*r**2 + z*r**4 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 97. Let g be ((-88)\/(-66))\/(4\/s). Solve -2*r + o = 5*o - 10, g*r + 3 = 3*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * 3.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115640 (base 7) to base 14.\nAnswer: -7a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18547.4 + -18547. Sort -3.76, 0, z in ascending order.\nAnswer: -3.76, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 233, 421, 609, 797, 985, 1173?\n\"Answer: 188*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4478*r - 117 = -4491*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 3*x - 6. Suppose -31*s - 21 = -176. Determine p(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 + 18*u + 727. Give t(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*u - 24, -65*f + 71*f + 50 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5019 and 183552.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90280522 by -2.\nAnswer: 45140261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2937 + -2935.7. Which is the second smallest value? (a) -2\/75 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b. Let i(f) be the first derivative of 5\/3*f**3 + 0*f + 0*f**2 + 22. Give i(m(p)).\nAnswer: 245*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 428 or 2133\/5?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 8*v - 6 = -5*u, 6 = -4*u - 3*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*4 + (sqrt(3) + sqrt(75))*-4.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.4 + 17. Let z = 35 - 32. What is the third smallest value in 0, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 439420 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 222\/2*3\/(-9). Let r = z - -12. Let t = r + 31. Solve 4*k + t = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-7))\/((-738)\/(-77490))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472003 = -0*w + 5*w + 17498. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -196 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 144\/84 + (-4)\/(-14). Let n = -244\/3 - -3931\/48. Let t = n - 1\/16. What is the biggest value in z, t, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -0.1, -2\/3, -1, -1\/14, 92?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h**3 + 2*h**2 - 8 + 8 - 6*h**3 to the form g*h**2 + c*h + i + u*h**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/152 and -125\/12?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 8*z**2 - 3*z - 4. Let s be l(8). Let i be 3*(-1 + 0)*(-24)\/(-48). Put s, -2\/7, i in increasing order.\nAnswer: s, i, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 147 = -23 + 123 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 36*b - 165 = -12*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2\/2 + 1563*a\/2 + 95550 = 0.\nAnswer: -325, -196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 25*g**4\/2 + 1995*g**3\/2 + 1767*g**2 + 938*g + 156 = 0?\nAnswer: -78, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cllllcclcljlljclct. What is prob of sequence ljj?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15621, 15664, 15721, 15792, 15877?\n\"Answer: 7*k**2 + 22*k + 15592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 27 = -3*d, 21 = 4*h - 3*h - 4*d. Suppose 3*p = 4*p - h. Calculate the remainder when 16 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.120026 + 0.12. Round y to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590500 rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-12)*-2)\/(104\/(-96)*2).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2 + 18*k + 1. Let n be l(12). Let d = -6 - n. Is d bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149654507 a multiple of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 87?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 4*u**2 - 3*u**3 - u**3 - 4*u + 4*u + (2*u + 2*u - 5*u)*(2*u**2 - 4*u**2 + 4*u**2) + (-1 + u + 1)*(-60 + 60 + 4*u**2).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*j**3 + 40*j**3 - 878 - 2*j**2 + 873 + 162*j**3 + 0*j**2.\nAnswer: 560*j**3 - 2*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 140111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1910\/19 or 100?\nAnswer: 1910\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.6, -0.3, -1, -1021, 0?\nAnswer: -1021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001881 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3819 - 3819 - 2*h + 2*h + 30*h**3.\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/144 and 23\/10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10312452 is divided by 210.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274048 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 432*s - 2152. Calculate l(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 55 = -5*n - 2*a, -3*n = -3*a - 54. Let r be (n\/(-8) + -1 - -4)*4. Solve -8\/3*i + 2\/3*i**2 + r = 0 for i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -16.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 751, 1762, 3455, 5836, 8911, 12686, 17167?\n\"Answer: i**3 + 335*i**2 - i + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let i(u) = 61*u + 12. Let l(b) = -3723*b - 730. Let z(h) = -365*i(h) - 6*l(h). Give z(d(s)).\nAnswer: -146*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 37 = 13 - 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 17\/5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.72 + -4.28. Which is the smallest value? (a) 0.2 (b) 1 (c) 3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 17243*g**2 + 74356120*g - 222913200.\nAnswer: (g - 8620)**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-245 + 278 - 2387*x + 2330*x)*(-2 - 1 + 4).\nAnswer: -57*x + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v + 5 + 0 + 3*v**2 + 14 - 2 - v**2. Is 19 a factor of k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25355.\nAnswer: 5, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-28)*(-49)\/(-14). Suppose u = 11*q - 1240. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-four fifths of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8\/9, 455, -113?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95)\/(sqrt(20)\/sqrt(4)) - (sqrt(19) + 2*sqrt(19) + -4))*-1)**2.\nAnswer: -256*sqrt(19) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74038321 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20616407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose 3*v + 12 = -a. What is the nearest to 3 in -3, 3\/4, v?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)*p*p**10\/p)\/((p**(-1\/2)*p)\/p)**0 assuming p is positive.\nAnswer: p**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 40*r - 4. Let a be h(17). Calculate the greatest common divisor of a and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -6 - 8, -19*m - 4*f = -17*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68756652863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8298, 0, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -307119*g. Let k(x) = -67*x. Calculate h(k(v)).\nAnswer: 20576973*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = c + 5, -3*r = -6*r + 3*c + 15. Factor 0 - 6\/5*b**3 - 2\/5*b**2 + r*b - 4\/5*b**4.\nAnswer: -2*b**2*(b + 1)*(2*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1859.07 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.048 and -429184?\nAnswer: -20600.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 136, 207, 276, 343, 408, 471?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 16. Calculate the lowest common multiple of j and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6737*3\/21 + (-12)\/(-28). Does 31 divide v\/(-4) - (-189)\/126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 7*l - 1. Let n be w(-7). Let m be (2*3*n)\/(-2). Find the third derivative of -2*t**5 + 0*t**2 + m*t**5 + 2*t**2 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33121151*s**3 + 16560583*s**3 + 16560578*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 656.265 less than -13?\nAnswer: -669.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-151)\/(31710\/(-700)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -6, 1514, 2, 0.5, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1214\/117 - 132\/13. Sort -181, -4, g in descending order.\nAnswer: g, -4, -181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 727*u**2 + 5. Let m(w) = 6*w**2. Calculate r(m(d)).\nAnswer: 26172*d**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 598\/605 + -168\/121. What is the third smallest value in 2\/55, u, 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163.78 - -164.08. Let k be (1 - -2)\/(30\/4). Put -2, a, k in increasing order.\nAnswer: -2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 138?\nAnswer: -9\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120203 (base 4) to base 13.\nAnswer: -12826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 3517\/5 and 704 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 = 20. Solve h*g + 5 = 9*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-14) - (32\/28 + -1). Let s(y) = -y**3 + 5*y**2 - 2*y - 2. Give s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 8*d + 22. Suppose 8*y + 9 = 5*y. Let z be c(y). Solve 24 = i - z*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/8)\/((-6)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.0795 - -5.0795. Sort -76, -3, -4\/3, r in ascending order.\nAnswer: -76, -3, -4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 + 6*q. Let j be x(6). Suppose -3*u = -15, j*w = w - 4*u + 16. Solve y + 4 = -b + 3, -w*y + 3*b = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828062721 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*y + 3 + 0)*(54*y - 54*y - 15*y**2) as p*y + v*y**2 + h + b*y**3 and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = -5. Suppose -j*n = -4 - 8. Let v(y) = 1 + 2*y**2 - n + 6 + 4*y. What is v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 1241?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 + -1ab8c?\nAnswer: -1ab6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12765 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 3. Let f(d) = -d + 22. Let j be f(19). Give r(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -75. Let z = -0.113 - -0.513. What is the nearest to o in -5\/4, z, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cd0b1 - 0?\nAnswer: cd0b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.6 + -8.9. Let c = -1\/10 + 3\/10. Put a, -0.2, -1, c in increasing order.\nAnswer: -1, a, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35587 - -22.\nAnswer: 35609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/20 - 4 - (-4)\/10. Suppose f = 2*k + 8, -g - 5*k = -7*k - 17. Calculate the greatest common divisor of g and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318.82 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.13, 0.5, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-93*t + 46*t + 9*t**2 + 47*t**2 - t**4) in the form i*t**3 + j*t + h*t**2 + n + f*t**4 and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) + 119\/28. Solve -u + 6 = -g, 5*g + 26 + 2 = n*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*3*3 - sqrt(121) - sqrt(121)) + sqrt(121) + (sqrt(121) - sqrt(121)*-3)*-1)\/((sqrt(220)\/sqrt(5)*-6)\/(sqrt(4) - (sqrt(4) - -1*sqrt(144)))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 26*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1137\/1516*32\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 4, 5, 15, -1, -12 in descending order.\nAnswer: 15, 5, 4, -1, -12, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(210) - 3*sqrt(210)))\/sqrt(10))\/((2*sqrt(300) + sqrt(300))*-3) + -1.\nAnswer: -1 + sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 4 (c) 0 (d) 3 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 0.0144?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18 and -169\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 1\/3*v**3 + 2 - 3*v - 3*v**2. Is 12 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3 + 1205574*g**2 - 2417550 wrt g?\nAnswer: 6*g**2 + 2411148*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 769, 830, 891, 952, 1013?\n\"Answer: 61*f + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.07 - 0.07. Let n = -52 + 51.8. Which is the nearest to l? (a) n (b) 0.1 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 101303302?\nAnswer: -101303321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 2, b: 1, j: 4, t: 3}. Give prob of picking 1 j and 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -124, -4 in decreasing order.\nAnswer: 35, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 3*g + 1. Let w be v(-2). Let f(i) = -9*i - 1. Calculate f(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -237 + 205 - (0 - -14)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 4*x**2 - 18*x - 32. Let g be y(-3). Let d be (-2 - 1) + 1 + 1. Let k = d + 4. Solve -2*j = -k + g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*r + 4*q, -3*r - 1 = -5*q - 2. Suppose -r*s = -4*s. Let u = s - -1. Solve -u = g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((0 - 13) + (55 - 37))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 224ad - -e5?\nAnswer: 22592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9831443 divided by 4?\nAnswer: -9831443\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12130301\/90 - 134783. Let y = 21\/10 + x. Sort y, 1\/9, -3 in increasing order.\nAnswer: -3, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/6 + 4\/(-6). Let o(v) = v**2 + 10*v + 13. Let l be o(-9). Find the second derivative of j*s**l + s - 4*s - s**4 + s wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*w - 22, -2*d - 20 = 3*w + 9. Let z = d + 7. Let p(v) = z*v**2 - 3*v**2 + 7*v**2. Let r(k) = 2*k**2. Calculate p(r(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 1, i: 1, b: 4, e: 6, l: 1}. Give prob of picking 1 j, 1 e, and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 + 312*t**4 - 640*t**3 + 8*t**2 + 636*t - 320.\nAnswer: 4*(t - 1)**3*(t + 1)*(t + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z\/((z\/z**(2\/21))\/z*z))\/z)**(1\/32))**32)**(-5) assuming z is positive.\nAnswer: z**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-126)\/12 - 2)*-2. Let l be 0\/((-5)\/(v\/(-5))). Suppose l = -13*p - p + 327600000. Round p to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.6. Let z = -1.6 - s. Let o = -4 - z. Put 1, -4, o in decreasing order.\nAnswer: 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144305 (base 9) in base 14?\nAnswer: -24345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/36)\/(((-598)\/(-1144))\/23*(-4)\/3)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183\/5 + 36. Let t = -25.7 - -25.4. Which is the smallest value? (a) 4 (b) t (c) l (d) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - 86. Let p = 52 - b. Let y be 32\/(-112) - (-11)\/14. Sort -1\/7, p, y in increasing order.\nAnswer: p, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 904 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10102110 + 2?\nAnswer: -10102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 20313201?\nAnswer: 20313212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 6*u = 9, -7*b + 7*b + 10 = 2*b + 4*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 15. Let c(y) = 6*y - 18. Let n be c(w). Solve n = -o - 3*g + 1, -2*o + g - 8 = 2*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + 5 + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023 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 (c\/c**(1\/3))**(-2\/41)\/((c**(2\/7)*c)\/c*c)**(-6) assuming c is positive.\nAnswer: c**(6614\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:21 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.14, -0.84 in ascending order.\nAnswer: -0.84, 0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**2 + 2*s. Let b(g) be the third derivative of g**5\/30 - 72*g**2. What is y(b(c))?\nAnswer: -20*c**4 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9037, -8979, -8897, -8785, -8637, -8447, -8209?\nAnswer: -7917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -575 - -587. Solve -y = -5*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 12*c + 605. Determine f(-31).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22220122 (base 5) to base 16\nAnswer: 2f9dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4 (b) 0 (c) -6129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 596 (base 14) to base 15\nAnswer: 4e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 944 and 39076054?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81149\/48290 + -3\/2195. Let f be (14\/(-10))\/((-96)\/(-932)) - -4. Let a = 262\/15 + f. Calculate the common denominator of y and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 + 7. Let w = -1.6 - -1.7. Which is the second smallest value? (a) w (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -5*r + 4*d - d, 0 = 4*r + d - 164. Let j be (72\/r)\/(2\/91). What is the highest common divisor of 52 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:57 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 63*b + 3 - 66*b - 6. Suppose 2*r + 2*r - 8 = 0. What is the remainder when h(-4) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*q = -83*q - 2*c + 8628, -3*q - 2*c = -6468. What is the remainder when q is divided by 86?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.25 + 2.25. Let j = 16 + u. Let p = -18 + 18. What is the second smallest value in -2, j, p, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*m**3*w**3 + 411*m**3*w + m**2*w**2 - 16*w**3 - 2586*w wrt m.\nAnswer: -954*w**3 + 2466*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -961, -3782, -8477, -15040, -23465?\n\"Answer: j**3 - 943*j**2 + j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -150 and 45.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249*a**3*t - 4*a**2*t**2 - 189*a**2*t + 618444*a*t**2 + 5*t**2 wrt a.\nAnswer: 1494*a*t - 8*t**2 - 378*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2059, 4181, 6303, 8425, 10547, 12669?\nAnswer: 14791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by 6\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 29. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647344 divided by -5?\nAnswer: -647344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 0*w + 0*w**2 + 30 + 13\/3*w**3. Let l(c) = -25*c**2 + 47*c**2 - 24*c**2. Calculate j(l(u)).\nAnswer: 52*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 3. Let a(k) = 4*k - 15. Let v(f) = -2*a(f) + 10*m(f). Let o(z) = 4*z. Calculate o(v(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2951060 and 332770?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3608774.\nAnswer: 2, 13, 138799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21272957)\/(-360171) + (-118)\/2?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 14*v - 740. What is the lowest common multiple of v and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*sqrt(112)*5 + 4.\nAnswer: 7 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-168)*(105\/9)\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128643647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-10)*18135\/(-4836)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from ohiohohiooi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 1.1. Let r = -10 + n. Let x = r - -10. What is the closest to -2\/9 in 2\/7, x, -2\/21?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(2052))\/(1*sqrt(192)) + 1 + -1 + sqrt(76)\/sqrt(4) + (sqrt(684)*1 - sqrt(684)) + -2)**2.\nAnswer: 14*sqrt(19) + 947\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 107*t + 4. Let r(h) = -213*h - 7. What is 10*m(u) + 6*r(u)?\nAnswer: -208*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. List the prime factors of j + 7\/((-14)\/(-20)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8*(9\/18 + 0) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 4 - (10 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjgjgjwjogjggojo. Give prob of sequence jg.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 0.1 (c) -0.4 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -54. What is the common denominator of 19\/80 and (-6 + 280\/45)\/(16\/n)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7810545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 0.36. Let h = g - 0.16. Let v = 2 + h. Sort 0, v, 1 in descending order.\nAnswer: 1, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/(0 + -1). Let j = o + 2. Let k be j*(2 - (-13)\/(-7)). What is the second biggest value in 3, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57.2 - -57. What is the nearest to 3 in -0.1, j, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 4617?\nAnswer: 600210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2176) + sqrt(2176) - sqrt(2754)*-3)\/(sqrt(864)\/sqrt(12) + 1*sqrt(242)).\nAnswer: 27*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -81*n**2 + 2736*n - 23104 = 0?\nAnswer: 152\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8a + d80e?\nAnswer: d898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + b = -10, 5 = -y - 2*b. Suppose -4*v + 4*q = 0, -2*v + 3 = y*q - 7. Suppose 22*m + v = 20*m. Which is smaller: -4\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 66*c**2 - 32*c + 160. Is 64 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 + 419106*n**2 - 8382720*n + 41914600 = 0.\nAnswer: -209573, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130937743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 327.8 + 1\nAnswer: 328.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 2. Let m(u) = -10*u**2 + u - 7. Let s(h) = 2*m(h) + 7*v(h). Give s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3\/144*925\/185?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 25. Suppose 0 = -q - b + 9. Let x(n) = -n**2 + 11*n - 7. Is 17 a factor of x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -16. Let n be (-18)\/15*(-20)\/u. Let h(x) = x**3 - x**2 + x. Let p(s) = -3*s**3 + 4*s**2 - 4*s + 2. Determine n*h(q) + p(q).\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 36 - 38. Sort -2, k, -5, 5 in ascending order.\nAnswer: -5, -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499422745.\nAnswer: 5, 99884549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 376067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 17749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 7913038\nAnswer: -5\/7913038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19092725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 + 3*b**2 + 3 - 2 with respect to b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - 1 - (-6 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/24)\/((1\/3)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3185*s. Let x(f) = -92*f**2 + 1. Determine w(x(m)).\nAnswer: 293020*m**2 - 3185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22303374.\nAnswer: 2, 3, 743, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 38*o - 20. Let z be w(12). Let t = -59 - 3. Let a = -50 - t. Calculate the highest common factor of a and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 103, 197, 271, 319, 335, 313?\n\"Answer: -c**3 - 4*c**2 + 113*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 306107993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103034899*b**2*m**2*q - 100*b**2*m*q - b*m**2*q - 2*b*q + 1486684*m*q wrt m?\nAnswer: 206069798*b**2*q - 2*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2146.163 * -6.\nAnswer: -12876.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -1 (c) -227 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let p(t) = -5*t**2 + 5*t - 5. Let q(h) = p(h) - 6*w(h). Let a(b) = b**3 + 12*b**2 - 14*b - 18. Let z be a(-13). Calculate q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = -0. Let y(f) = -1 - 2 + 4 - 2*f. What is y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 29 = c, -p - 4*c = 2*p - 31. Let i(g) = -16*g - 15*g - 15*g + 71*g - 4*g - 6 - 19*g. Determine i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -5. Let o = b + 5. Let d = o + 4. Is d at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*k - 5. Let w(l) be the third derivative of -7*l**4\/8 - 7*l**3\/6 + 2*l**2. Let c be w(-4). What is the greatest common divisor of k and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8725309309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126428 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13517 and -13.\nAnswer: -175721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 5, d: 4}. What is prob of picking 2 q, 1 g, and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 814 and 444.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/4)*d)**(-48)*(d*d**8*d)\/(d**(-1)*d))\/((d**0*((d\/(d\/d**(1\/5)))\/d)\/d)\/(d\/(d**(-2\/7)*d)*d**(-3\/5))) assuming d is positive.\nAnswer: d**(-3378\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = g - 13, 138*x + 3*g - 123 = 129*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3\/4*o**4 + 62 + 1083*o - 37*o**3 - 969\/2*o**2. Suppose r(y) = 0. What is y?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1530 (base 13) to base 14\nAnswer: -11a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*t + 62 = -a, -4*a + 68 = 3*t. Suppose a*h - 4 = 24. Solve -h*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623730.\nAnswer: 2, 5, 59, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13261664 is divided by 45.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020472 rounded to four decimal places?\nAnswer: -0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25850 and 3304400?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41179260 is divided by 2090?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 12. Put 5, 3, z in increasing order.\nAnswer: z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*u**4 - 159*u**3 - 240*u**2 - 108*u.\nAnswer: -3*u*(u + 2)**2*(11*u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/7 - 120*m**4 + 1056*m**3 + 2524*m**2\/7 - 23874*m\/7 + 14796\/7 = 0.\nAnswer: -2, 1, 9, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 89*o + 91*o = 60, 510*o + 2167 = -d - 205*o for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.7 + -24. Let x = -1.1 + 1.4. What is the second biggest value in d, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 100. Sort r, 2, -13 in increasing order.\nAnswer: -13, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63 - 57106*h + 57113*h - 9)*(-2 - h**2 + 2) to z*h + l*h**3 + s*h**2 + k and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27893, 27897, 27901, 27905, 27909, 27913?\nAnswer: 27917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2*((-34)\/(-51))\/((-8)\/(-3618))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*b - 191*b = -4*a - 4, 5*a = -3*b + 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3365\/(-45) + 2\/(-9). Let i = t + 373\/5. Which is the closest to 1? (a) -3 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)*o*o\/o**7*o**(-2\/7)\/o*o\/o**(-14) assuming o is positive.\nAnswer: o**(291\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-52)*(-28)\/(-21).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 62, -4 in increasing order.\nAnswer: -4, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3412\/14 - (-4)\/14. Let w = -9 - -12. Suppose -g = -w*o - 79. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l = -36*l - 7560. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 - 2140?\nAnswer: -2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352072 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z*z)\/z**3*z**(-1\/11)*z*z**(-3) assuming z is positive.\nAnswer: z**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -18. Suppose -2*l - 2*l + 72 = 0. Calculate the smallest common multiple of l and (0 - -11) + -1 + 8 + o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -44*f - 5. Let t be q(-4). Suppose 3*p = -3*g + 108, 0 = 5*g - 0*p - 4*p - t. Let m = g + -3. Calculate the highest common divisor of m and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c6b - 0?\nAnswer: -c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 + 7*q - 7. Let n be r(5). Suppose 0 = -8*x + n*x + 80. Let i = 2 - -2. What is the smallest common multiple of i and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2170c - -1a9?\nAnswer: 218b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a8 - -1?\nAnswer: 5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 26, 91, 214, 413, 706?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-60))\/(33\/88)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199.211 take away -5824.34156?\nAnswer: 4625.13056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 4*d)*(3*d - 3*d - d**2 + (3*d - 1 + 1)*(32328 - 317*d - 32328) - 3*d + 3*d + 3*d**2).\nAnswer: 2847*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*c - 30, 10 = -0*r + r - 2*c. Suppose 4*h + r*q - 25 - 47 = 0, 5*q = -5*h + 85. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = -2*g - 5, 5*p - 25 = -4*g. Solve g = f - 0*f + 4, -5*c - 4*f - 16 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 2*l**3 + 98*l**4 - 42*l**4 - 2*l - 1 + (16 + 69*l**3 - 16)*(1 - 2*l - 1) in the form m*l**4 + u*l + r*l**3 + p*l**2 + v and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 114\/140*1\/6 and 3\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10\/h)\/h**(1\/6))\/(h**(-3\/10)*h\/((h*h*h**0*h)\/h)) assuming h is positive.\nAnswer: h**(152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, a: 1, k: 2, d: 4}. What is prob of picking 1 d, 1 a, and 1 z?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3079*q + 255 = -3076*q. Which is greater: 84 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glll when four letters picked without replacement from ggfggglggllff?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h + 67. Let o(t) = 41*t + 271. Determine 2*o(d) - 9*q(d).\nAnswer: -8*d - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -2*l**7\/105 + l**4\/8 + l**2. Find the second derivative of h(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-20)\/(j*j\/(j**18*j))*(j**3*j)\/(j**(2\/11)*j) assuming j is positive.\nAnswer: j**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11.2 or -11425?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 * -1073.\nAnswer: 61161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**3\/3 - 1. Let f = -28 + 45. Let x(j) = -21 - 6*j - f + 38. What is u(x(h))?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**4 + 616*x**2 + 978 wrt x.\nAnswer: -4*x**3 + 1232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-18)\/4) - 0. Let o = -86 - -85.9. What is the smallest value in t, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5730260 + -5?\nAnswer: 5730253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47459*m**3 - 94687*m**3 + 47237*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 + 3*s - 28. Let o(q) = -30*q**2 - 13*q + 109. Calculate -2*o(r) - 9*w(r).\nAnswer: -3*r**2 - r + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1207824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 30.9. Let g = -12.2 + 13.2. Let q = 47 - 335\/7. What is the closest to p in g, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -554, -552, -550?\n\"Answer: 2*v - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohhnocchvovonh. Give prob of sequence hvhh.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -459*k + 231*k + 234. Let l(s) = -s - 1. Let q(y) = -2*y**3 - y**2 + 6*y + 7. Determine k*l(x) + q(x).\nAnswer: -2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1320724.0163 + -1320798. Let l = -74 - x. Round l to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 3\/4 (c) 31 (d) 5 (e) -5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11284 and 651.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -66647\/534?\nAnswer: -66647\/534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.7 - 38. Let t = d + 1.3. Let h = -21 + t. Is h at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -21 - (-11 - (-14 - -6))) + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12\/7 (b) -3729 (c) 11 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -179469, -358979, -538489?\n\"Answer: -179510*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 11*n + 17. Let z(p) = 5*p**2 + 11*p - 18. Let f(u) = 6*v(u) + 5*z(u). Is 9 a factor of f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051 is divided by 0 - ((-3)\/(-1) - (-1665)\/(-15))?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*r + 33. Let s = r - 17. Suppose 2*h + 3*h = -5*a - 40, 0 = s*h - 4*a + 16. Is h less than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/7 greater than 0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -1\/6, 154?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = -27. Let h be 2\/3 + (-15749994)\/l. Suppose 8*k = 3*k - h. What is k rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21954 + -21942. Solve t - 4*j = -21 + h, 2*t - 3 = j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -c + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-27 - -20) + 84 - 26?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 62. Give n(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.045 + -0.445. What is the nearest to -21 in 0.5, 1\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 18\/24 + (-730)\/(-8).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*112\/(-336)*(-54)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o - 1. Suppose w + 3*w - 23 = -5*v, 7 = 2*w + v. Let n be d(w). Suppose 3*p - n = -0*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.32 - -1.3086. Round u to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let h be u(-3). Let b(f) = -f**2 - 11*f + 4. Calculate b(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115683, 115669, 115655, 115641?\nAnswer: 115627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 3*o**4 + 0*o**2 + 6*o**4 + 474*o**3 + o**2 - 255*o**3 - 243*o**3 + 1 as d*o**2 + q + y*o**3 + c*o**4 + n*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*b - 11777 + 2714 = 0 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {b: 1, s: 1, p: 1, i: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -379*n*y**2 - 511*n*y wrt y.\nAnswer: -758*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032 - -3311?\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 0*y**4 + y**4)*((2 + 3 - 4)*(-1 + 5 - 5) + 2 - 2 - 2).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*f - 0*f - 12, -5*f = -4*o + 21. Let g(v) = -7*v + 3. Let m(d) = 20*d + 2 - 19*d - 6 + 3. Determine o*g(x) - 3*m(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 + 1. Let k = 2 + 0. Let i(l) = l**3 - 2*l**2 + l. Let j be i(k). Is s(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3988 less than 0.2469?\nAnswer: -3987.7531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-7)\/((m\/m**(-5))\/(m*m\/((((m\/(m**(-7\/5)*m)*m*m)\/m)\/m)\/m)))*(m**(-5\/6)\/(m\/(m*m**(-5)*m)))**(-1\/6) assuming m is positive.\nAnswer: m**(1873\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 7*j + 18. What is the remainder when 66 is divided by h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**2 - 1\/4*g**4 - g + 0*g**3 + 0. What is the derivative of y(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 4. Let o(k) = k + 5. Let z = -13 + 18. Suppose -z*c + 4*l = -16 - 49, -11 = c + 4*l. Let u be 8\/(-6)*(12 - c). Calculate u*o(w) + 5*s(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 905856007 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 1608528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 6*l - 5. Let k(c) = -c**3 + 7*c**2 - 6*c + 5. Let p be k(6). Let z(i) = -p*i - i + i. Let v be z(1). What is j(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and 2 + 8 + -14 - (-94175)\/23510.\nAnswer: 14106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t + 81. What is g(19)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(-48))**(5\/8)*i**(-4\/3)\/((i*((i**(1\/5)\/i)\/i*i)\/i)\/i)*(i**(3\/8)*i)\/(i**8\/i) assuming i is positive.\nAnswer: i**(6581\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*z = 142, -5*z + 281 = -0*y + 2*y. Calculate the common denominator of y\/(-16)*(-1)\/3 and 19\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*p = -22, 0*m - 4*p + 12 = -2*m. Let o be (-6*(-6)\/36)\/(m\/12). Suppose o*w - 8*w + 514 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (10 + (16 - 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11812.00024985 + -11812. What is z rounded to six decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/29336604 and -7\/27.\nAnswer: 264029436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/6 + 13*j\/3 + 9\/2 = 0. Calculate j.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 7*y + 2. Let l(x) = -6*x**2 - 36*x - 11. Let j be (-8 + 38\/4)*(-12)\/9. Determine j*l(i) - 11*m(i).\nAnswer: i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -9, -4, -0.01, 4, 0 in decreasing order.\nAnswer: 4, 0, -0.01, -4\/5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(208) + (2*sqrt(208) - sqrt(208))*2 + sqrt(208) + 1 + sqrt(208)*1*-5)**2.\nAnswer: -80*sqrt(13) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (14\/2)\/7*(-2)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*k + 104*k - 388 = 5232 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - 1*-2*sqrt(2448)) + 2*sqrt(2448)*1 + (sqrt(2448) - (5*sqrt(2448) + sqrt(2448))*4) + -3)**2.\nAnswer: 1296*sqrt(17) + 793161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/11, 1, 0.1.\nAnswer: -0.5, 0.1, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*d - 500*d = 2176 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x - 4*x. Suppose 0*n + 4*n + 5*n = 0. Factor 0*h**4 + n*h**x - 1\/5*h**3 + 0 + 1\/5*h**5 + 0*h.\nAnswer: h**3*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 1005*l**3 - 16*l**4 - 1005*l**3 + (4*l**3 - 3*l**3 + l**3)*(0*l + 2*l + l) to the form o + s*l**4 + c*l**3 + x*l**2 + t*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*o**4 + 0*o**2 + 4*o**3 - o**3 + 3*o**2 + 19*o**4 to the form c*o**4 + w*o**2 + f + h*o + q*o**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16640496 and 14?\nAnswer: 116483472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/4 + 18337*b**2\/2 + 336245569*b\/4 = 0?\nAnswer: -18337, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*x + 218 - 256 = 0, 0 = 2*b + x + 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/451 and 43\/6?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223262265 to the nearest integer?\nAnswer: 14942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 7*y - 4. Let d be g(-8). Solve w + 4*w - d*j + 5 = 0, 2*w = 4*j + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.25, -2, 0.5, -6494, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1203*s - 260*s**2 - 188*s - 553*s**2 - 273*s**2 - 297*s**2 wrt s?\nAnswer: -2766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385880 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48117604?\nAnswer: 2, 12029401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + 34\/10. Let h(s) = -2*s + 1. Let b be h(-1). Calculate the highest common divisor of v and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1205530 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 21*p**2 + 3*p - 130. Let j be g(-16). What is the greatest common factor of 116 and j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 538698, 538705, 538718, 538737, 538762, 538793?\n\"Answer: 3*f**2 - 2*f + 538697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2056123 rounded to two dps?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*u, -5*n + 39*u + 315127 = 37*u. List the prime factors of n.\nAnswer: 19, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -60*x**3 + 2*x**2 - 1. Let f be 56\/(-40) + 2\/5. What is t(f)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75262157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 1 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -34*d**2 + 3*d + 64. What is the hundreds digit of q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65360981911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**3 - 3*l**2 - 20*l - 327. Calculate u(-6).\nAnswer: -3123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/510459 + -8735484851\/4083672. Let a = j + 2145. Calculate the common denominator of -5\/22 and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 368*l + 279. List the prime factors of t(-70).\nAnswer: 21139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 3:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 21*l**3 + 11*l + 3. Let z(v) = v**3 - v + 1. Determine p(i) - 4*z(i).\nAnswer: 17*i**3 + 15*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113004338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 67\/(-2) - 1\/(-2). Let n be (-41)\/15 + j\/55. Is -3 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, -2\/197, 6, -33?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:05 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/56832 and -25\/85248?\nAnswer: 170496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.595855mg?\nAnswer: 0.000000006595855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1. Let u = 43 + -44. Let k(s) = s + 3. Let x(m) = u*k(m) - 3*h(m). Let a(c) = 7*c + 42. Let b(z) = -1. Let y(t) = a(t) + 42*b(t). Determine y(x(g)).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*a - 64 + 6, 0 = 2*y - 5*a - 131. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -3*c**2 + 2*c - 8. Give z(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -35, -60, -93, -134, -183, -240?\n\"Answer: -4*a**2 - 5*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/73, 3, -2\/7, -5\/4 in increasing order.\nAnswer: -5\/4, -2\/7, -4\/73, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 6. Let j(l) = l - 1. Let m(r) = i(r) - 6*j(r). Let v(p) = -9*p - 4. Let s(g) = -48*g - 22. Let a(h) = 2*s(h) - 11*v(h). Give a(m(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 4. Let v be m(5). Let r be (v\/6)\/(1\/(-3)). Suppose -5*s + 13 + 16 = r*p, 3*s - 27 = 3*p. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3916 is divided by 871.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let f(o) = -o + 0*o + 0*o. Determine f(v(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 56425140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 90900 and 90917 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x**2 - 1. Let z(b) = -4*b**2 + 41675*b - 41675*b + 10*b**2 - 1. What is -2*n(y) + 5*z(y)?\nAnswer: 4*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14538, -14543, -14552, -14565, -14582, -14603?\n\"Answer: -2*h**2 + h - 14537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = -8*z - 40 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by (-360)\/2*2\/(-5) - (-479 + 480).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000609352 rounded to six dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2119 - 3292. Let z = j - -1701. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*k - 203*k - 116*k + 30747 for k.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765 is divided by 1753?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*c**2 + 197*c**2 + 12*c**3 + 204*c**2 - 5*c - 8*c + 249*c**2.\nAnswer: 12*c**3 - 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3747 = -954*g + 4595 - 1664 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**7\/p)\/(p\/(p**(4\/5)\/p)))\/(p**(2\/11)\/p**(-6)) assuming p is positive.\nAnswer: p**(-21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*s**3 - 40*s**2 + 135*s - 1286828 with respect to s.\nAnswer: 33*s**2 - 80*s + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1403.6\nAnswer: -7018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64580956*c**4 - 4920879 wrt c?\nAnswer: 258323824*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.981 + -0.019. Let s = 28.9 + v. Let d = s - -1.09899. Round d to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226421108.\nAnswer: 2, 23, 2461099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -107. Solve 0 = 5*m - x*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-2*n + n + 0*n) + (-4*n - n + 3*n)*(-4 + 6 + 0) + 2*n + 2*n - 2*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 + 264*m**4 + 19188*m**3 + 18920*m**2 = 0.\nAnswer: -43, -1, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 640640 by -49280.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -8. Let o(q) = -q - 7. Let h be o(f). What is the closest to 2\/3 in h, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**3 + 1 - 44*n**3 - 1.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1\/8340 in descending order.\nAnswer: 5, 2, -1\/8340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 0*f - 554 - 44 - f - 2*f**2 as d*f + h + k*f**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 14 + 10 = 0. Let l(x) = 10*x. Let t(r) = 119*r. Give i*t(q) + 35*l(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/584 and 31\/8468?\nAnswer: 16936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1 + 3*c - 127*c**2 + 42*c**2 + 39*c**2 + 48*c**2. Calculate g(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - (21 + -25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 4*z**3 - 24*z**2 - 28*z - 10.\nAnswer: 2*(z - 5)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 = 3*j. Let s be (26\/117)\/(-2 + (-10)\/(-3)). Let x be -2 + (3\/2 - 1). Which is the second smallest value? (a) s (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*n - 53940 = 32*n for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2524064 is divided by 6505?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, -32, -39, -38, -23, 12?\n\"Answer: n**3 - 5*n**2 - n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -385 - -738. Let c = -104 + w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*z + 5 = 0, 4 = 2*p + 4*z - 8*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, -2\/11, 43.\nAnswer: -2\/11, 6\/19, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -59581354?\nAnswer: -59581353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/6 - 21*o**3 + 706*o**2\/3 + 1188*o + 3808\/3 = 0. What is o?\nAnswer: -136, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270920 by -81.\nAnswer: 270920\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10795.38 decades?\nAnswer: 107953.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3493162032.\nAnswer: 2, 3, 72774209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3 - 860*r**2 + 58104*r = 0.\nAnswer: -269, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:11 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:00 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/5, -0.2, 0.81677 in increasing order.\nAnswer: -2\/7, -0.2, 2\/5, 0.81677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*6595648\nAnswer: -19786944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 49*u - 44*u + 95, -5*u - 5 = q. Solve 5*f + q*n - 11*n = -11, -f = 2*n + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 182614.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*k + 18, -3*k - 4*o + 60 = o. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34464166 to the power of 1\/2, to the nearest integer?\nAnswer: 5871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 12060437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 372 + -17. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 3, x: 4, l: 1, p: 1}. Give prob of picking 1 l and 2 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:34 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/60 - p**4\/24 + 30*p**2. Let c(h) = -4*h**2. Calculate 3*b(g) - c(g).\nAnswer: g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44171 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -11. Let m = u - -22. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - 2*p - 1. Let i be q(2). What is the second smallest value in 3, -3, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Let o(j) be the third derivative of 1\/2*j**3 + 0*j + 2 - 1\/12*j**4 - 34*j**2. Determine -o(r) - 3*x(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13981 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: Calculate the smallest common multiple of 88 and 152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*p - 4*w, -4*w + 9 = -w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77 * -15.\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 58, 0.1, 0, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 2*q + 5*q)*(-37 + 37 + 12*q**2 + (5*q - 3*q - 3*q)*(2*q - 2*q - 2*q)) in the form z*q**2 + j*q + n*q**3 + c and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*-8*2\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmdd when four letters picked without replacement from {m: 4, d: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -31532290980.3 + -32\nAnswer: -31532291012.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1455140 + 14354?\nAnswer: -1440453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37984, -35161, -32338, -29515, -26692?\nAnswer: -23869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1251893 - 400643. Suppose -3*p + 2*z = -2135992, 2708766 = 5*p + 4*z - d. What is p rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*y + 63, 4*y + z = -3*z - 60. Let u be (-3 - y\/3)*3. What is the second derivative of a - 3*a**4 + 3*a - 8*a - u*a**4 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21377 + -3?\nAnswer: -21402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q + 23. Let d be i(-2). Let y = 11 + -16. Let a = y + 1. What is the second biggest value in -1\/10, a, d?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-27)\/12)\/(18\/(-8))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 21, -873332 in descending order.\nAnswer: 21, 10, -873332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1111\/136 and -3\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. Suppose 173 + 475 = z*y. Suppose y - 22 = 4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -79\/336*s**8 + 0 + 0*s**3 - 2*s**2 + 0*s**7 + 0*s**4 + 0*s**6 - 53\/15*s**5 + 73*s. Find the third derivative of j(b) wrt b.\nAnswer: -4740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 818 + 331 = -319 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c + 4. Let i(b) = -3*b - 1. Let z(j) = -4*d(j) - 11*i(j). Let g = 4 - 9. Let x be z(g). Solve 0*v = -v - 4*h - 19, -5*h - x = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Let d(j) = 4*j**2 - 2*j. Let x(a) = -4*a**2 + 2*a. Let k(w) = -4*d(w) - 5*x(w). Let p(z) = 9*z**2 - 5*z. Calculate t*k(v) - 2*p(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1. Let o(m) = -2*m - 4. Let h = 4 + -8. Let s(w) = h*c(w) - o(w). Let n(r) = 3*r**2. Determine s(n(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -995, -1984, -2973?\n\"Answer: -989*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44000 divided by 44000.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2692.399ng?\nAnswer: 0.000000000002692399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 21316931\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 2*f**5\/5 - 29*f**4 - 40*f**3 + 58*f**2 + 118*f + 2178. Find r, given that q(r) = 0.\nAnswer: -1, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9120 and 1535371.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 15 (c) 1 (d) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/56 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*p, 3*g = 5*p - 5 - 5. Let z = 222 + 81. Let d = z + -300. Calculate the remainder when g is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/13083 and 91\/4806.\nAnswer: 235494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + 0*u**4 + 4*u**4)*(4*u + 0*u - 2*u) + 43 - 15*u**5 - 43.\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffmfbfkfxbbf. What is prob of picking 1 x and 1 m?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/1 + 1 + 1. Suppose 4 = 2*s - f. Suppose -s = b - 0, -5*m + 43 = b. Calculate the highest common divisor of 45 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267632369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-182))\/(-1*12\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15823, 15821, 15819, 15817, 15815?\nAnswer: 15813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597740129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -30*v**2 + v - 1. Let c be m(1). Let z be (24\/c)\/(1\/(-15)). Suppose 2*y - 6*y = -z. Solve a = -4*i - 2, 0 = -a + 3*a + y*i - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4699*a*n - 3832*n wrt a.\nAnswer: -4699*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 1. Let m be h(1). Suppose -5*v = 4*f + 17 - 1, m*f = -16. Solve v = -0*w + w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) - 3*(21 + -3). Let j = x + 53. Let a(g) = j - g + 2 + 6 - 6. Give a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 55, 2, 8 in descending order.\nAnswer: 55, 8, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 19*c**2 + 104*c - 171. Determine s(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let x(b) be the third derivative of -b**5\/30 + b**4\/4 + 4*b**3\/3 + 3*b**2. Let o be 8*2\/12*99\/22. Give o*l(q) - x(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -24*t**2. Let m(d) = 21*d**2 - 47*d**2 + 29*d**2. Determine z(m(h)).\nAnswer: -216*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**9\/1512 - p**5\/20 + p**3 - 5. Let f(d) be the third derivative of u(d). What is the second derivative of f(x) wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**9\/453600 - k**8\/16800 + k**7\/1575 - 2*k**6\/675 - k**5\/6 + 3*k**2. Let r(g) be the third derivative of i(g). Factor r(v).\nAnswer: 2*(v - 4)**2*(v - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76166 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1225 divided by 5\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -2*n**3\/3 + 37*n**2\/2 - 37*n. Let i be g(10). Let a be 3\/3 - 0 - i. Solve -d - d - 14 = a*l, 2*l = -3*d - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, s: 6}. Give prob of sequence sg.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-2 + 12 - 5) + 3 + 0 + 3)*(-37 + 4*j + 43 - 5*j).\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14498496 by 192.\nAnswer: 75513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4318.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2918*l - 2915*l - 3*i = 30, -i = 4*l - 35 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:25 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - 61. Let b = 69.000076 + w. What is b rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*t + 150, -3289*l = -3284*l + 2*t - 432. What is the remainder when 3701 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 30805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*z**3 + 325*z**3 - 7*z**2 + 2*z**2 + 429*z**3 + 4*z**2.\nAnswer: 518*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16134.99993433 + 16135. Round f to 6 dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (68 + -13 + -38)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66001*f**2*u - 110969*u wrt f.\nAnswer: 132002*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-214)\/(-10) + (-2)\/5. Let x = 690 + -669. What is the highest common factor of n and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 53. Let o(b) = -b - 2. Let i(t) = -c(t) - 3*o(t). Let s be i(23). Calculate the highest common divisor of s and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0*s**3 + 0 + 0*s**4 + 1\/300*s**6 - 1\/150*s**5 - s - s**2. Let x(m) be the first derivative of k(m). Factor x(b).\nAnswer: 2*b**2*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -0.23\nAnswer: -0.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, e: 13}. Give prob of sequence qqqe.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*k - 864, -3*k + 14 - 2 = 0. Suppose -5*w = 4*y - 65, -5*y - w = w - 94. Let a be (i\/25)\/(2\/y). What is the greatest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 o, and 1 i when four letters picked without replacement from {z: 1, o: 2, t: 1, q: 3, i: 2, h: 9}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1674417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103\/9 + -35\/3. Let w = 644 - 643. What is the nearest to w in -49, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/3 + 3*q**2\/2 + 3*q + 2. Suppose 6*z - 2*z = 8. Let u be (-1 - (1 + z)) + 0. Give m(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-6*3.\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 77*a - 158. Let y(q) = -q**2 + 27*q + 217. Let o be y(33). What is the tens digit of s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c\/(c*c**(-4\/7))*c)))\/(c*c\/c**4*c*c))**(-46) assuming c is positive.\nAnswer: c**(-506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010929559 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 37*s - 1. Let b be q(-10). Suppose 189*k - b*k - 3400 = 0. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 = -0, 17791 = 2*a - j. Suppose 4*k = 23 - 7. Suppose 3*f + 9*q = 8*q + a, k*f - 11872 = -4*q. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 127\/4. Let k = 1.4 + -9.4. Let q = k + 7.7. What is the nearest to x in 2\/3, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*h + 91*h - 26724 = 205*h for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -424*o**2. Let h(i) = 162*i**2 - 135*i - 45. Let w(l) = -3*l**2 + 3*l + 1. Let x(t) = -h(t) - 45*w(t). Determine y(x(r)).\nAnswer: -309096*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 68*h**3 - 2*h**2 - 25. Let o(y) = 69*y**3 - y**2 - 31. Determine 5*m(i) - 4*o(i).\nAnswer: 64*i**3 - 6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-1 - (0 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448476 and 798.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1544.07 + 1554. Let k = w + -10. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 2, b: 1, x: 2}. What is prob of picking 1 x, 1 b, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*d - 94, 5*d - 4*u - 105 = -6*u. Suppose 5*r - 98 = -3*h + 302, 5*r - 670 = -5*h. Calculate the remainder when h is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjaqqaajaaqxqojjaq. What is prob of picking 2 a?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3*r - 30*a**2*r**2 + 4*a**2*r + 4*r**2 + 2*r - 42 with respect to a.\nAnswer: 12*a**2*r - 60*a*r**2 + 8*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 - 9 = 0. Let d be (-4)\/(-14) + 23\/(-7). Let n = d + o. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1057 divide 1816983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 6*y + 82. Let h be o(5). Suppose 5*u - 30 = 415. Calculate the remainder when u is divided by (h - 3) + -3 + 1 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32715368 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 11*o + o = -5*m + 70 + 226, 5*m - 224 = 24*o for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 305, 6, 3, -4, -30, 2 in decreasing order.\nAnswer: 305, 6, 3, 2, -0.16, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-2)\/6)\/((-8)\/(-48)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 39*c**2 - 471*c + 403. What is z(12)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/9 - 652*z**2\/9 + 634*z = 0 for z.\nAnswer: 0, 9, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1091 - -1099. Solve -s*j - 35 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*((-160)\/(-12) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15108003 and 120951?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**35 assuming l is positive.\nAnswer: l**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -17.2. Let k = 12.6 + c. Let q = 19.5 - k. Round q to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*r - 20, -t - 25*r + 28*r = 8. Solve 5*m = -5*b - 10, 6*m - 3*m - t*b = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + t - 2*t + (-1 + 0 + 2)*(3 - 3 - 20*t)*(-2 + 3 + 1).\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250 and 26801250?\nAnswer: 26801250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -104*u**2 + 66878*u - 3861. Determine d(643).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1964*j + 2131*j - l = -167, -4*l = 4*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = -8. Let j be (-52)\/(-8) - b\/4. Let s = -3 + j. Let z(h) = 3*h - 4. Determine z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 14*q**2 - 4*q + 2. Let c be o(-14). Let n = 1516 - c. Suppose -n + 226 = -8*r. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*f + 2, -9 = 22*j - 24*j - 5*f. Suppose 3*w + w = j*d - 2, -17 = -w + 4*d. Which is the closest to 0.01? (a) w (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874\/10 + (-18)\/(-30)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10011*l - 47679*l - 4047*l + 3323*l.\nAnswer: -58414*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050*h - 1294*h = 4296*h + 917 - 114417 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and -0.069?\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35154 divided by 21?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*7*2\/(-315).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/n**(2\/7)*n\/(n\/(n**(1\/15)*n))*n*n\/(n*n\/n**8) assuming n is positive.\nAnswer: n**(1447\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 + -0.2. Let y = -7 - -11. Which is the nearest to 1? (a) m (b) y (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 15*o = -9. Let r(l) = -2*l**3 - 2*l**2 + l. Give r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1608, 12, -4\/7, 3?\nAnswer: 1608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/15 - 16*t**4 + 1536*t**3 - 76*t**2. Determine z so that x(z) = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*b - 21, 3*x + 38 - 17 = 6*x + 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -2\/15, 0.7, -4 in decreasing order.\nAnswer: 0.7, 0.11, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 56279 - 1831 = v, -7*v = 4*d - 381280. List the prime factors of v.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3 (c) 39 (d) -2283 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039207193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 10. Let x be c(-14). Suppose -4 = x*i, -3*k + 81 = -k - 5*i. 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: b\"What is the gth term of -125843453, -251686905, -377530357, -503373809, -629217261?\n\"Answer: -125843452*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*t - 13, -23 = -2*t + 3*g - 0. Suppose -4 = -t*m, -5*w + 18 = 4*m + 4. What is the lowest common multiple of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102 - 1?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32117 or -32125?\nAnswer: -32117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 7008832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -91 - 80 - 13*a - 20. Does 3 divide p(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77402.79 to the nearest 1000.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 356\/24 - (15\/18 - 1). Does 19 divide (-318)\/(-4)*((-950)\/o)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -33837956 and -20.1292.\nAnswer: -33837976.1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607802 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1583\/3166*(-4)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38431*d**2 - 21968*d wrt d?\nAnswer: -76862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 45*c - 103*c - 30*c**4 + 2*c**3 + 34*c**4 + 34*c**3 + 12*c**2 = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 146\/27 - (-183040)\/(-34320).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x - 5 + 2*x + 0)*(39 - 35 + 67) to the form p*x + u and give p.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, 48 in ascending order.\nAnswer: -2, 2, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -783 + 783 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3563\/9 - -39247\/99. What is the third smallest value in -1\/2, -1\/3, 1\/4, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmqqqmnmnmmmnnmmmwz. Give prob of sequence nzmn.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 17010 = -8*p. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.6 - 33.6844. Let b = 0.037 - -0.036. Let v = b + h. What is v rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 90*t + 3892. Determine p(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3669*k**2 - 8*k + 388. Let p(m) = 2446*m**2 - 5*m + 267. Let b(j) = 5*f(j) - 8*p(j). What is the first derivative of b(y) wrt y?\nAnswer: -2446*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 3*s**2 + 6*s**4 + (25*s**3 - 62*s**3 - 4*s**3)*(3 - 2*s - 3).\nAnswer: 88*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 5158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-1519) + 246\/(-31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41\/66 + 1\/22. Determine a, given that -z*a**3 - 2\/3*a**5 + 0*a**2 + 0 + 0*a + 4\/3*a**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**2 + 2 + 7\/3*v**3 - 4*v. Is m(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70505523 + 70505523 + 11*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42366292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 8*d**2 + 2*d - 1. What is v(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 140\/47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 40 = -4*s. Let f(p) = p**2 - 8*p - 11. Is f(s) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 11*d**2 - 24*d + 6. Let c be r(8). Find the common denominator of 95\/72 and c\/(-51) + (-5844)\/(-9792).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*g**3 + 8*g**3 + 2*g + 6 as d*g + z*g**3 + u*g**2 + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*v**2 + 5389030*v + 347448148 wrt v?\nAnswer: 22*v + 5389030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 0*i**3 + i - 2*i**3 + 2 + 0 to k*i + z*i**3 + j + b*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077453227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 9*h**2 - 4*h - 12. Let i be v(9). Does 11 divide 1210\/14 - i\/(-112)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1136.94 + 1137. What is the second biggest value in t, 25, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -498482030.512 minus -29?\nAnswer: -498482001.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 261155.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*s - 0*s + 1, 47 = 4*s - 3*x. Let n(o) = o**3 - 9*o**2 + 10*o. Calculate the remainder when 59 is divided by n(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 5. Let z(b) = 9*b + 9. Let n be (-8)\/(-12) - (3 + 110\/30). Give n*z(j) - 13*v(j).\nAnswer: -2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267705586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 183\/9 + (-4)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4569 equal to -4578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 5:17 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (0 - (-12)\/1). Suppose -2*j - i = -0*j + 40, -j + 5*i - 31 = 0. Let o = y - j. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 160551, -5\/4, 3 in decreasing order.\nAnswer: 160551, 3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*(259\/21 + -3). Suppose -50*l = -55*l + 140. Calculate the highest common divisor of b and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2315*q + 1061*q - 17795 = -142707 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(16\/(-10))*24\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from kilihkqnl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -158*r**2 + 5209*r + 167. Determine f(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*n + 19 - 19)*(-5 + 4 - 1)*(155 - 155 + 123*n**2) to the form t*n + r + z*n**3 + b*n**2 and give z.\nAnswer: 5166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*x + 86*x + 1 - 4 - 980*x in the form k*x + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -4\/5 (c) 1\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(66)\/sqrt(2))\/((-1*sqrt(66))\/sqrt(6))*5.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 + 154. Suppose 0 = 4*x - 3*k - 1, -4*x - 15*k = -17*k - b. Let i(r) = 4*r**2 + 1. Let u be i(x). What is the highest common divisor of u and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 + 10*g - 3. Is f(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + 0.19. Which is smaller: 2\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.6 - 25. Let r = -54 + 58.2. Let z = r + f. Which is the second biggest value? (a) 1\/7 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 21 - 6. Calculate the greatest common factor of 120 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2294469*u - 2294469*u + 1621*u**2.\nAnswer: 1621*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -91, -319, -763, -1495, -2587, -4111, -6139?\n\"Answer: -12*s**3 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 - 84*p + 19. Let m be u(-17). Suppose -2*l + 7*o - 2*o = 21, -2*l + 14 = m*o. Solve l*s - 3 = -11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 9*d - 4*d - 5*d**2 - 5*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*q + 2629 = -1063 - 1600 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*h + 1757 = -989727 - 205946. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 467. Let t(l) = 32*l**2. Determine f(t(n)).\nAnswer: -32*n**2 - 467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-4) + 21 + -26. What is the nearest to 0 in c, 2, -0.1, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8286*j + 15180883 - 15180883 to the form g*j + v and give g.\nAnswer: 8286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7532 - -25965. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/13 + 8634122*z\/13 + 6475596\/13.\nAnswer: -2*(z - 1079266)*(4*z + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.115+-1.2\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2*4\/(-20)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 584*q**3 - 22654*q**2 + 200944*q + 224181.\nAnswer: (q - 19)**2*(q + 1)*(q + 621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 1 (c) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1765*t + 485*t + 1005*t + 336*t + 46683 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001730258 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7355 - -0.9355. Which is the second smallest value? (a) 214 (b) s (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -369529*m**2\/6 + 184763*m\/3 + 1\/2 = 0. Calculate m.\nAnswer: -3\/369529, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*u + 30550 = -93*u + 77*u for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = -3*n + 14*w - 13, 2*n + 3*w = -10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 3. Suppose r = -3*w + 62, -4*w - w + 109 = -4*r. Let y = 24 - w. What is i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(70) + (sqrt(70)*-2*6 - sqrt(70))))\/(-5*(sqrt(640) - -2*sqrt(640))))**2 + 3 + -2)*1.\nAnswer: 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 97*q + 1842. Give f(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*t + 834401*t**3 - 35*t - 32*t - 26*t.\nAnswer: 834401*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -m. Suppose v + k = -2*v + 43, -2*v + 22 = m*k. Solve v = 4*u - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a. Let z(f) = f. Let k(d) = w(d) + 6*z(d). Let x(r) = 12*r. What is k(x(v))?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530839.\nAnswer: 37, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 620.2 + -619.8. Sort 0, v, -0.67.\nAnswer: -0.67, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 14 = -b - 2*u, 3*b = -4*u + 31. Suppose -2*c + 34 = 2*v, -5*c - 75 = -5*v - 0*c. Find the common denominator of v and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21261819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6919.38 centuries in decades?\nAnswer: 69193.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:57 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z, -141 = -p + 5*z - 136 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 43 + 11 = 0. Suppose 90 = h + m*h. Solve -4*n = -3*n + 5*r + 26, -3*r = 3*n + h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - m + 11 = 0, 0*q + 57 = 3*q - 3*m. Let w = -28 - -73. What is the lowest common multiple of w and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -598288? (a) -3 (b) 2 (c) -2\/3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 85 - 86) + (1 - 15).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 65 = -13*c. Suppose -3*j - 2*m = -4, j + 5*m = 9*m - c. Let s(l) = -l**2 + 4*l. Let z be s(3). Solve z*d - d = j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10376.259 - -12089.4826. Let n = -1718.0236076 + f. Let l = 4.8 + n. What is l rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000877031 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-9)*1)\/((-40)\/(-4))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 66*o**2 + 64*o + 107. Calculate the remainder when r(65) is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 14*b + 13. Let o be y(8). Let q be o\/14*4 + (-3)\/3. Let w(u) = u**3 + 11*u**2 - 9. Give w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 4*f - 98, 3*f + 3*h = 75. Suppose 0 = 3*s - 2*s - 2*i + 3, 2*i - 38 = -4*s. Let k = s + 20. Calculate the least common multiple of f and k.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17 = -5*v, 0 = -3*y - 5*v + 9*v - 6. Solve g = 2*p - 11, y = 2*p - 0*p + 2*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 3:44 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -2*g + 2*p + 198, -3*p = -4*g + 385. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779115100?\nAnswer: 2, 5, 17, 26959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 + 8*k - 8. Let n(o) = o**2 - 3*o - 4. Let w be n(5). Let i be t(w). Factor -4*z**4 - 2*z**5 + z**4 - 2*z**3 - z**i.\nAnswer: -2*z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 - 422 - 37*s + 156*s - 58*s - 61*s + s**3 in the form b*s**2 + u*s + a + n*s**3 and give a.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 3:18 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 47936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.2425 to 1 dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1039, -0.4, -2, 2\/13, 0.2 in decreasing order.\nAnswer: 0.2, 2\/13, -0.4, -2, -1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -25*s. Let r(v) be the first derivative of 0*v**2 - 1\/3*v**3 - 25 + 0*v. Determine r(q(o)).\nAnswer: -625*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 4*g - 1287 = 16*g for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*((i**(2\/7)\/i)\/i)\/i*i)*i*i**(1\/7))**(7\/2) assuming i is positive.\nAnswer: i**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3095, -6353, -9615, -12881, -16151?\nAnswer: -19425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 405 - 10?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34571347 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/329, -3, -114, -1 in decreasing order.\nAnswer: 8\/329, -1, -3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 36. Is 0.2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -76*g - 29. What is the units digit of z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/((171\/5700)\/((-8)\/(-30)))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -0.09. What is the nearest to h in 7, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24984219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 214 = -6*x. Let j = -96 - x. Suppose 6*w - j*w - 5 = 0. Which is smaller: -10 or w?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449702.\nAnswer: 2, 11, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 5*f + 4. Let s be k(-1). Suppose 2*h + 16 = c - s*h, h = 0. Suppose 3*t - 305 = -2*t. Calculate the remainder when t is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + -5 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 32 = -4*o, -4 = -2*o + 6. Solve -2*g + 22 = -a*j - 3*g, -3*j - 3*g = 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(2 + 1 + -1 + sqrt(1700))*-2 + 0 + 1)**2.\nAnswer: 7200*sqrt(17) + 245700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -78, -119, -160, -201?\n\"Answer: -41*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -69561?\nAnswer: 4\/69561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**2 + 7*z - 4. Let l(f) = f**2 + f. Let y = -35 + 29. Let j(q) = y*l(q) + w(q). Suppose -1 - 5 = -2*v. Give j(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 16 + 1. Calculate the remainder when 13 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/10 - 428755803*t\/5 + 183831538606174809\/10.\nAnswer: (t - 428755803)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*z + 54*z + 4 - 2 to the form c + x*z and give x.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(4)*2))\/((sqrt(108) - sqrt(27))\/sqrt(9)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n - 8. Let p be u(-10). Let z = -128 + p. Suppose f = 3 - 1. Sort f, -3, z.\nAnswer: -3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12674\nAnswer: -2\/6337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/11, -0.3, 0.6 in descending order.\nAnswer: 0.6, 2\/11, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m + 314 - 314)*(3 + 3 - 5)*(0*m + m - 3*m).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/82 and -15\/2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 + -12163\/95. Does 2\/5 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6812, -6780, -6746, -6710?\nAnswer: -6672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/3080 and -117\/7700?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13\/3, -25, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 5*m - 3. Let p be 1\/(5\/(-15))*(-2 + 3). Let j be g(p). Solve -3*h + 4*h = j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108.2 rounded to the nearest ten?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3410624 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*l - 65 + 15 = 0, -24 = -3*s + l. Suppose -d = s - 13. Calculate the remainder when 9 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpp when three letters picked without replacement from {c: 8, p: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.841 and 0.103.\nAnswer: -8.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, -0.0687, -0.3, -0.4 in ascending order.\nAnswer: -2, -0.4, -0.3, -0.0687, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-9)\/(-4)) - 224\/(-12). Suppose -5*j = -0*j - 25, j = 3*o + h. Let a(s) = s**3 + 2*s**2 - 6*s + 3 + 2*s**2 + 0*s**3. Give a(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**6\/120 - g**5\/10 - g**4\/6 + g**3\/2 - 3*g**2\/2 - 6*g. Let r(t) be the first derivative of a(t). Calculate r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 10845 + 10862 - 32498 + 10791.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -88. Which is bigger: -67\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s - 64. Let t(b) = -8*b - 40. Let p(w) = 5*g(w) - 8*t(w). Let n(x) = -955*x**2. Calculate p(n(c)).\nAnswer: -3820*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - j**2 + 0*j**2 + 3*j**2 - 3*j**2 + 2*j**2 + (2*j - 2*j + 2*j**2)*(2 + 0 + 0))*(3*j**3 - 2*j - 6*j**3 + 2*j**3)*(2 + 1 - 1).\nAnswer: -8*j**5 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let x(i) = 56 + 61 - 117 + 5*i. Let w(z) = -6*q(z) - x(z). Let j(h) = 17*h. What is j(w(l))?\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 5303352 + 5303352.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 0.5 (c) 1\/6 (d) -0.3 (e) -1.076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*y = 81, 3*y = -4*r + 196 + 47. Solve -160*g + r = -133*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 + 85*h - 316. Give v(10).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 1 - 1)*(-4 + 5 + 3) - 2 + r + 2 + (5*r - 2*r - 2*r)*(-22 + 73 + 56).\nAnswer: 104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1159109?\nAnswer: 115910.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 16906742 and 16906742 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38614694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16*9*(-8)\/(-6))\/((-126)\/2436).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**4 + 19*c**2 + 2*c - 9*c**2 - c**4 to the form s*c**4 + b + f*c**2 + r*c**3 + x*c and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 8*-1 - 1. Suppose c*u + 66 = 5*k, 0*k + k = 3*u + 22. Calculate the lowest common multiple of 7 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*a + 853 - 138, 2*w - 2*a = 286. Let l(r) = 3*r**3 - 46*r + 81. Let k be l(3). Let b = k + w. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 13*o - 44. Let u be m(6). Let n be (858\/65)\/(u\/(-5)). Calculate the highest common factor of n and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 435 by 1.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553346973 - 0.3?\nAnswer: 553346972.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from suuuuuuuus.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 384310568 and 384310567 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -300*p + 250 wrt p.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let a(s) be the first derivative of 10 + 0*s + 9\/2*s**2. Give a(o(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, 237, -6, 4 in ascending order.\nAnswer: -6, -2, 2, 4, 5, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 61970 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 h = -25015 - -25011. Which is the closest to 1? (a) -3.4 (b) 4 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*a*l**2*v - 74*a*l*v + 245*a*l - a*v - 388206*v - 4 wrt l.\nAnswer: -30*a*l*v - 74*a*v + 245*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 96\/(-112) + 105\/(-49). Put -1, 8, -5, 3, c in descending order.\nAnswer: 8, 3, -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -0.0872?\nAnswer: 1.0872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1930*v + 1916*v - 98 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-8) - (-4)\/(-16). Let k be (-3)\/(-1)*5\/m. Let a = k - 0. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -10.1. Let x = p + -53.4. What is x rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. Let m(k) = -k**2 + k**2 - l*k**2. Let d(o) = -2*o**2. Determine m(d(n)).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(4*s - 2*s + 4*s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -13432424?\nAnswer: -13432430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 28, -0.3, 0.1 in ascending order.\nAnswer: -0.4, -0.3, 0.1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*u + 12 = 22*u, -6*z + 5*z - 5*u + 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 25*c + 355. What is m(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*b + 2*x, -3*b + 4*x + 72 + 64 = 0. Let g = 316 - 313. Suppose -g*k - 11 = b. Are -20 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 21 (b) 2 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245\/630 + 35\/(-63)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(-1*sqrt(25)\/sqrt(5) + sqrt(5) - (sqrt(245)*1 - sqrt(5)))**2 + -5.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -911 - -645. Suppose 2*j - 24 = q + 10, 0 = -2*q - 5*j - 41. Calculate the smallest common multiple of 1\/2 + g\/q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1692)\/15 - (-4)\/5. Let r = 323 + l. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2574 + 3713. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d + -49?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01704635354 rounded to 4 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7624 is divided by 109?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, s: 5}. What is prob of picking 2 s and 2 p?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 512.38 + -529. Let t = 16 + u. Is 1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-756)\/270)\/(28\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jklmmljjfflfllllll. Give prob of picking 1 l, 2 m, and 1 k.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -463, -2\/9, 0.3 in descending order.\nAnswer: 0.3, 0, -2\/9, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2459687*h**3*v - h**3 - 18*h**2*v + 8*h**2 + 2*h*v + 11*h + 36 wrt h.\nAnswer: 14758122*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1792 (c) 57\/8 (d) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -190, -278, -366, -454?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -28833 equal to -28833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23518839 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 144*f**5\/35 - 30*f**4\/7 - 23*f**3\/21 + 10*f**2\/7 + 4*f\/7 - 5. Factor d(j).\nAnswer: (3*j - 2)**2*(4*j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8173?\nAnswer: 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x + 7. Let c(m) = m**3 + 7*m**2 + 6*m - 5. Let n be c(-6). Let o(q) = -2*q - 5. Determine n*s(a) - 7*o(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*w - 815 = -34, 0 = a + 4*w - 149. Suppose 2*t = o - a, 4*o - 5*o - 5*t + 171 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21354*d*r**2 - 3*d*r - 5*d + 182*r + 2 wrt r.\nAnswer: 42708*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44546449 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 1. Let l = -112 - -117. Let r(d) = -59*d**3 + 17*d**2 - d - 5. Let j(q) = l*x(q) - r(q). Find the third derivative of j(y) wrt y.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 + -101.2. Let j = d + -6.8. Let f = j - 29.35. Round f to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2734.54 (b) -4\/3 (c) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631 (base 7) to base 13.\nAnswer: 1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 54. Let g = 0.1 - 0. Let w = -447 - -7597\/17. Which is the second smallest value? (a) g (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521 (base 13) to base 11.\nAnswer: -723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 3*x = -12*w + 110 - 59, 7*x - 78 = -5*w - 22 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 576440 or 576865?\nAnswer: 576865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3320025*o + 125. Let s(i) = -i**2 + 8*i + 15. Let f be s(-2). Let j be w(f). What is j rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 3*k**2 + k - 38. Let r = 368 - 347. Is l(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94482851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 18 = 5*o, 3*o - 9 = 5*q + 7. Suppose 3*g - 10 = -o*g. List the prime factors of ((-12)\/14)\/(g\/(-14)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*w + 3387 - 18479 = 530*w for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 72533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.24 - 28.24. What is the nearest to r in 4, 6, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -49. Let g = -1 - 1. Let o be v\/(3\/(g + 180002)). Round o to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3879 + -15517\/4. What is the nearest to -1 in -5, 3\/2, -20, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(2*t - 3*t - t + (-5*t + 2*t + t)*(-3 + 2 + 3)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -545.7192 and 72.\nAnswer: -473.7192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -563*c**2*k**4 - c**2 - 160*k**2 wrt k.\nAnswer: -13512*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -218246 + (-2)\/2 + 0. Let h be 1\/((-1)\/(-2)) - w. Suppose 5*q + 1063249 = h. What is q rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333120011411 + 0?\nAnswer: 333120011411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:57 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) + (-477)\/(-15). Suppose -3*q = z + s + 22, 2*q + 226 = -4*z. Let t = 20 - z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 13*m**2 - 13*m - 14. Let y(d) = d**3 + 4*d**2 + 12. Let j be y(-5). What is the remainder when f(j) is divided by (-2 - -50)*1 + 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11674)\/(-130) + 33)\/(3\/((-615)\/(-2))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p**(-1))**(-40)*(((p\/(p*p*((p*p**(-1)*p)\/p)\/p))\/p)**34)**(-3\/35) assuming p is positive.\nAnswer: p**(7102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1721450068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 4. Let r be ((-24)\/80)\/(3\/h). Let l be -13 + 2\/(-36)*-238. Which is the nearest to -0.1? (a) l (b) r (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8480709 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-120) + 1\/(-4). Let j = 4627\/390 - 305\/26. Which is the nearest to -1? (a) -1\/2 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 + 91. Let t be 10\/(-20)*(q - -3). Is t at least -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**5\/60 + q**3\/3 - 2. Let d(a) be the third derivative of c(a). Let s(p) = 2*p + p - p. Give d(s(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 24*g + 101. Determine m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7555442 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -1.75.\nAnswer: -1.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2035*b + 8151*b - 2038*b - 19*b**3 - 2037*b - 114*b**3 - 2039*b.\nAnswer: -133*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microsecond in nanoseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) + (sqrt(672)*2 + sqrt(672))*3)\/(sqrt(12) - sqrt(108)*1))\/(-3*(sqrt(72)*-3)\/sqrt(9)*-6).\nAnswer: 5*sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54321.\nAnswer: 3, 19, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = -5*d + 5*y, 0 = -4*d - 5*y + 9. Solve 4*f - 2*f = -u - d, -3*u + 5*f + 19 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Suppose 0*s - 2*s + p = -9, -4*s - 3*p + 23 = 0. Let b(r) = 2*r**2 - 5. Let q(w) = w**2 - 2. Let h(i) = s*q(i) - 2*b(i). Determine h(v(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6023 is divided by 124?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7713741 is divided by 6093.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2668555573 and -0.02?\nAnswer: 2668555573.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 2622.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/((-16128)\/5454))\/((-10)\/(-8)). Which is bigger: -14 or f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(((-4)\/8)\/(3\/6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12051\/5 - -2391. Which is bigger: 1\/4 or t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 49 = -5*b + 71, 2*b - 5*l = 76. Let g = -15 + b. Calculate the greatest common divisor of 117 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-10120)*10*-1)\/(2\/(-253))?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3198 and 2962209.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3, -3*s + 3*b - 11 - 1 = 0. Let c(d) = -8*d - 1. Does 7 divide c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 423 = 488 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*l + 6*l = 34, 4*v + 3*l + 91 = 0. Which is greater: -37 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 + 7 - 54*n**5 + 3*n - 4 wrt n?\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/4527? (a) -4 (b) 14\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n - 3. Let a(l) = 5*l + 75. Let x be a(-6). Let u be x\/(-10) - (-4 - 21\/(-6)). Calculate w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -15. Calculate the common denominator of 6\/t*(-2)\/3 and 49\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, 0.097, -6\/11, -2\/21, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 - 13*f**2 - 10*f. Let b(w) = 2*w**3 + 13*w**2 + 11*w. Let r(g) = 4*b(g) + 3*s(g). Let n be r(14). Solve -4*i - 20 = -n*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 22*m**2 + 224*m - 4626. Calculate i(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. What is the second derivative of 2*b**4 - b - 4*b**q - b wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 656 and 28.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(5\/(40\/(-12))). Let t = c + 14. Calculate the remainder when (-94)\/(-4) + 1\/(-2) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10853913 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12641689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 202. Calculate the remainder when q is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98267 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:49 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**2\/2 + 5*v + 106. Let f(i) = -3*i + 11. Give 3*f(j) - 7*q(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11287, 2163, -6961, -16085, -25209?\nAnswer: -34333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -45. Suppose 0 = -3*h + d - 0. Let t(s) = s**3 + 4*s**2 - 5*s + 3. Let j be t(-5). Does h = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puqf when four letters picked without replacement from {p: 2, f: 10, q: 4, u: 4}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -398a938 (base 11) in base 12?\nAnswer: -23866a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2280\/192)\/(-19)*-2)\/((-90)\/560).\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1160)\/(-50) + -5 + 16\/20. Solve -4*k + o = -3*w, -3*w - 7 = -3*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15873 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 356\/24 + (-1)\/(-6). Suppose -2*m - m = -g. Let s = m + 5. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 17*w**2 + 13*w - 21. Let b be s(-16). Suppose 5*i - 95 = -5*l, 4*i = 3*l - 23 + 92. Calculate the greatest common factor of b and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12138*n = -5827*n + 8583*n + 430909 - 1384125 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 3. Suppose 5*n = n - p + 8, 4 = 2*n + 2*p. Suppose 3*g - b*v - 3 = 0, 3*g - g + n*v = 18. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*d - d = 27, -4*j = 4*d + 8. Suppose 5*s + 136 = j*f, -3*f + 108 = 4*s + 17. Suppose 107 + f = k. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 9 - (-2 - 0). Suppose -2*z = -3*z. Suppose -v = -z - i. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -789 in -1, 23, 28, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 159 + 74 + 74 + 5*r. Give o(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 - -13) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.1. Let j = -24 + 23. Let v = 84 + -82. What is the nearest to j in v, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139498860 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3082373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.1 + -27. Let i = -4.5 + 4. Let l = -0.3 - 0. What is the third biggest value in l, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 390*b**2*d**2*l**2 + 2*b**2*l**2 + 245*b*d**2*l**2 + 965*b*d*l**2 + 18*d wrt d.\nAnswer: 780*b**2*l**2 + 490*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/o**(-1))\/o))\/o)\/o)**(-23)*((o**(2\/5)*o*o)\/o)**(-5\/2) assuming o is positive.\nAnswer: o**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 19*u**2 + 2*u - 46. Does 2 divide i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 2*j**2)*(-2 + 6 - 2) - 2 + 3*j**2 + 2 - 2*j**2 - 2*j**2 - 17 + 19.\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and (-6)\/4*40\/(-30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14248, -114634, -387088, -917644, -1792336, -3097198?\nAnswer: -4918264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 72 = -4*a - 3*j, 0 = -2*a + 5*j + 36. Let h be (-340)\/(-55) - 1 - (-4)\/(-22). Let c = a - h. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*r - 1278 + 78 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14325)\/(-2865)*10\/1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 927.487 decades in millennia?\nAnswer: 9.27487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + 3*y - 1. Let k be s(-4). Is (4\/(-2) + k)*7 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3888, 15490, 34814, 61860, 96628, 139118, 189330?\n\"Answer: 3861*j**2 + 19*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -16 - 2*x - 96*x**2 + 0*x - 103*x**2 + 207*x**2. Is 30 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 9, -5\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 6\/11*q**2 - 2\/11*q**4 + 4\/11*q**3 - 8\/11*q - 8\/11 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 62*f**2 - 508*f - 448.\nAnswer: -2*(f + 1)*(f + 14)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/16)*n*n**(2\/11)\/n*n**(3\/13)\/n**0 assuming n is positive.\nAnswer: n**(801\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 328\/72 - (-4)\/9. Solve -g + 5*y + 6 = -0*g, 0 = 3*g - k*y - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652244?\nAnswer: 2, 3, 11, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -31) + (-19 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 2*g)*(3*g + 0*g + 0*g + (4*g + 3*g - 4*g)*(-30 + 39 + 113)).\nAnswer: 369*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 37 = 2*z - 0, -s - 5*z + 18 = 0. Let v = s + -12. What is the lowest common multiple of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440839167 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 42 = -0*j + u, -5*u - 95 = -5*j. Let h = j - -4. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107013*y**2 - 214033*y**2 + 106965*y**2.\nAnswer: -55*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - -2) + -6 - (-1 + 2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 3*c**3 + 3*c**3)*(-16 + 0 + 38).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - (0 - 0))*(0 + (-924)\/(-56)). What is the highest common factor of w and 5511?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**4 + 6*f**3 - 10*f**2 - 2*f + 4. Let x(a) = 7*a**4 + 5*a**3 - 9*a**2 - 3*a + 6. Let i(j) = -3*v(j) + 2*x(j). Factor i(r).\nAnswer: -4*r**2*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 divided by 1?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -388 + 347 - (0 + 0 - ((-14 - -4) + 2))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1\/8, -4\/9, 5, -4 in decreasing order.\nAnswer: 20, 5, 1\/8, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n + 1. Let q(l) = 45*l + 1 - 6*l + 0 - 24*l. Give -5*q(k) + 8*w(k).\nAnswer: 5*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4338*z + 3*z**2 + 3938*z + 0 - 2 to the form j*z**2 + l*z + y and give l.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*n - 13110 = -86*n - n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20031 (base 5) to base 6.\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 8*b**2 + 12*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 4514063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvyylykyyvqvdlyl. Give prob of picking 3 l.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.75 - -0.26. Let w = f + -5.11. Round w to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*m = -31232, 861*m = 2*l + 866*m - 12458. What are the prime factors of l?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/15 - 29554*h**2\/15.\nAnswer: 2*h**2*(h - 14777)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.08675 + -0.05125. Let y = u - -21. Round y to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**3 + g**2 + 0 - 1\/15*g**5 + 0*g - 1\/120*g**6 - 1\/8*g**4. Does 5 divide c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -64*j - 40. List the prime factors of a(-22).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028011 to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, -2, 0, 1 in ascending order.\nAnswer: -12, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-3 - (-1 - 1)). Let s be (-3 + -1)*(-3)\/l. Suppose s*t - 60 = -3*c, 4*t + 0*t - 77 = -3*c. Calculate the remainder when t is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:55 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 3*u**2 - 6*u + 8. Let d be f(4). Solve 0 = -2*z - d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-80)\/(-30))\/((-8)\/(-12)). Solve -12 = -2*g + 4*u - 2*u, 0 = -5*g - m*u + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*c - 21, -6*o + 4*o - 10 = 2*c. Let k(a) = a**3 + a**2 - a - 1. Let q(s) = 8*s**3 - 7*s**2 + 5*s + 5. Calculate o*q(v) - 5*k(v).\nAnswer: -13*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1176974231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -673*n + 3839 + 22408 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44366741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4898\/17 - 288. What is the second smallest value in 0.2, z, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 less than 4867504?\nAnswer: 4867532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 4\/3, -0.5, 2.857?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 17*i**2 - 10*i - 6. Let n be c(-9). Solve -3 = -n*y + 4*y + v, 3*y = -v + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111000012 (base 3) to base 8\nAnswer: 22412","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -67860 divided by -2262.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 17*d - 11. Suppose 3*x = -5*o - 34 - 15, 0 = -o - 4*x - 20. Let r be a(o). Is -1 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -8. Let v = -9 - j. Suppose -2*q + 0*q = -90. Calculate the highest common factor of v and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213b6 (base 13) to base 15.\nAnswer: 87bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a07a (base 13) to base 3.\nAnswer: -201222121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5783.969 + -5780. Let p = 0.023 - -0.008. Let o = p + a. What is the third biggest value in 2, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 23*g**2 + 26*g + 8.\nAnswer: (g - 4)*(g - 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 20*m - 8. Let k be p(19). Suppose 4*b = -3*g - k, -3*b + 4*g - 5*g = 7. Sort b, 0, -5 in ascending order.\nAnswer: -5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 8*s + 89 + 17 = 0, -33 = -n - 147*s + 152*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176190*r**5 + 12*r**3 - 3425*r**2 - r - 7058.\nAnswer: 10571400*r**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + i + 120 = 0, -2*f + 88 = -21*i + 17*i. Solve -2*d - 6 = 5*s, 0 = -25*s + f*s + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2448 = -13*o. Let y = -136 - o. Let t(s) = s**3 + s**2 - s + 20. What is t(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*d = 36, 4*a - 2*d = -4*d + 34. Suppose -a*g + 6*g - 16000000 = 0. Round g to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -141.\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/7)\/v*v*v*v)\/(v*v**(2\/27)\/v) assuming v is positive.\nAnswer: v**(580\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 4*j - 0*j + 4, -3*v + 5*j = -29 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 518*(-48)\/(-56)*((-903)\/(-126) + -7)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4 + 65*s + 0 + 27\/100*s**5 + 9\/5*s**2 - 23\/10*s**3. Determine h so that g(h) = 0.\nAnswer: -1, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/39)\/f)**13*(f*f\/f**18)**3 assuming f is positive.\nAnswer: f**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3645191 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 34*m = 204334. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 13, a: 5, d: 2}. What is prob of sequence ddcc?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-4 + sqrt(175) - sqrt(175))*6 + sqrt(175) + 1.\nAnswer: -115*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**4\/6 - b**3\/6 - b**2. Let g be j(-1). Solve g*q - 2 = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -26.\nAnswer: -25\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**6*t - 19*g**4*t - 2*g**3*t + 3*g**2 - 8*g*t + g + 1378*t wrt g?\nAnswer: 1080*g**3*t - 456*g*t - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2050047 and 71\/561?\nAnswer: 22550517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26525.\nAnswer: 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72569068 and 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.87525 rounded to 2 decimal places?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -137.5?\nAnswer: 1787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 344*z**4 + 528*z**3 - 11744*z**2 + 29312*z - 21504 = 0 for z.\nAnswer: -84, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29578775 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 4. Let k be (-4796)\/242 - 1\/(-11)*-2. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5))**44*m**(8\/7)\/m**(1\/14) assuming m is positive.\nAnswer: m**(691\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23052 is divided by 171?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/30 + q**4\/6 + q**3\/3 - 6*q**2. Let n be y(-2). Let g = -3.7 + -0.3. Which is the nearest to 1? (a) n (b) -1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -33*c + 41 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2450 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 0*s + 0*s + (-114 - 97 + 31)*(-78 - 5*s + 4*s + 50*s**3 + 76) to the form r*s**3 + i + b*s**2 + k*s and give k.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6570 (base 9) to base 15.\nAnswer: 167c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, q: 2, k: 3, z: 1, j: 1, d: 2}. Give prob of picking 2 d and 1 z.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -34*l. Let y(p) = 12*p - 6*p - 8*p. Determine u(y(s)).\nAnswer: 68*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -18 - 20 - (6 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5628000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 - 2285840*b - 4571931442400.\nAnswer: -2*(b + 4000220)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*z**4 + 1319*z - 1319*z + (2 - z - 2)*(0*z**3 - 2*z**3 + 0*z**3) in the form l*z**3 + c*z**4 + a*z**2 + n + q*z and give c.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Suppose 3*o = -4 + 16. Suppose -6 = -4*g + 18. Let m(p) = o*p - g*p + p. Give m(j(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 31*s + 20*s - 10*s.\nAnswer: 3*s**3 + 41*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 199*g - 47 - 52.\nAnswer: 199*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 1 q when three letters picked without replacement from mqlmqjr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 3*a + a)*(4*a + 2*a - a) to x*a + h*a**2 + i and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193879?\nAnswer: 7, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/480 + 119*u**5\/240 - 235*u**4\/96 + 39*u**3\/8 - 505*u**2. Factor f(l).\nAnswer: -(l - 117)*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 152*y + 98. Let u(b) = 91*b + 49. Let v(w) = -3*a(w) + 5*u(w). Calculate v(-25).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1609.05 - 1591. What is s rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*x + 650 + 1055 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4050, -1, -8 in decreasing order.\nAnswer: -1, -8, -4050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 591, 9, -3, -5 in descending order.\nAnswer: 591, 9, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = w + 2*h, -45 + 40 = -5*w + 5*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -98. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.52*-12\nAnswer: -54.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -317, -301, -275, -239, -193?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1978.04 - 1978.24. Let x = -3 - -11. What is the smallest value in f, x, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 6*w + 1. Let o be c(4). Let l = 10 + o. Solve 5*g + 3*v + 27 = -10, l*v - 8 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 29*q**2 - 56*q + 27. Let w(t) = 260*t**2 - 505*t + 245. Let g(a) = -35*k(a) + 4*w(a). Solve g(f) = 0.\nAnswer: 1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 24. Let i(x) = -x**3 + 4*x**2 - 4*x. Let s be i(3). Let k = s - -6. What is the remainder when w(-32) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.3, 335.01, -1, -2.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwyyy. What is prob of picking 3 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-105))\/((-48)\/(-3720)) + (-33)\/22?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.72184 - -5?\nAnswer: 10.72184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3237 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -13*w**6\/30 - 2*w**4\/3 - 2*w. What is the third derivative of r(s) wrt s?\nAnswer: -312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-36)*(-14)\/21*3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 0, 4, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7 - -7) + 10 - (-2 + 6)) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.337 less than -163.2960343?\nAnswer: -168.6330343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -58 and 7046847?\nAnswer: 7046905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence new when three letters picked without replacement from eneedweefd?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -111 + 70 - 94 + 7*t + t + 4*t. Let v be u(14). Solve -v = -3*r - 24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 5. Let y be b(-9). What is the remainder when y + 18 - 2\/2 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -5*f**7\/168 + 3*f**5\/16 - 5*f**4\/24 + 4*f. What is j in i(j) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/3 - 64*h**3 + 6208*h**2\/3 - 24576*h + 69120 = 0. Calculate h.\nAnswer: 4, 20, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8692651 to the nearest integer?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 6. Let p be i(7). Let r be 6\/2 - (5 - -3). Sort p, r, 3 in increasing order.\nAnswer: r, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102119?\nAnswer: 17, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + 3)) + -44 + -5 + 33?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -598, -678, -652, -484, -138?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 - 8*r**3 + 34*r**3 - 22*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from wpjppij.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*a + 9, -4 - 2 = -3*t + 5*a. Calculate the common denominator of t + 3\/(-126)*23 and -23\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 6. Let o(j) = 2*j**2 - j + 2. Let c be o(1). Let m be p(c). Let q = m + -11. What is the closest to q in -5, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1050)\/(-4725) - (-28)\/(-18)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51\/40 + -7\/8. Let y(r) = 2*r. Let o be y(1). Suppose 0 = o*i + 5*d - 5 - 12, -3*i - 5*d = -18. Which is greater: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 3, t: 1}. Give prob of sequence va.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -40*a. Let o(b) = 155*b**2 - 5*b. Calculate j(o(g)).\nAnswer: -6200*g**2 + 200*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -83*d - 8. Let m(l) = 28*l + 3. Let v(a) = 4*c(a) + 11*m(a). Let j be v(-2). Let g = -30 + j. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23222922 greater than 23222922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1407702 to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234560 to the power of 1\/2, to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 25. Suppose 5*m - 20 = -0*m. Calculate the greatest common divisor of m and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23c41 (base 16) in base 10?\nAnswer: 146497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 136918080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -4*i**3\/3 + 1. Let m(s) be the third derivative of -s**4\/12 - 498*s**2. Give m(c(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.345358nm to kilometers.\nAnswer: 0.000000000002345358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8512*v - 17068*v + 8562*v - 70. Give a(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(11598\/(-1656) + 7). Suppose 3*s = 4*a - o - 0, -3*s = 3*a + 57. Find the common denominator of 41\/18 and 381\/s + 12\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/11 - 1486486*x**2\/11 + 276226631310*x\/11 - 8009322222042\/11 = 0. What is x?\nAnswer: 29, 371607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/(-15))\/((-77)\/(-105)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 - -414. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 2.0601.\nAnswer: 1.0601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163715 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -0.073\nAnswer: -0.0511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2\/15*y**6 + 24*y + 3 + 0*y**2 + 1\/3*y**4 + 1\/5*y**5 - 2\/3*y**3. Let p(i) be the first derivative of w(i). Factor p(j).\nAnswer: -4*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435598?\nAnswer: 2, 433, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t**2 - 4 + 347*t**2 + 23*t**2.\nAnswer: 322*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*n + 47510, -3*n - 5544 = -5*h + 113259. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:12 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + sqrt(1088)*-3 - sqrt(1088)) + -5 + -2 + (sqrt(17) + 0 + sqrt(17))**2 + 5 + 1 + sqrt(17) + 3.\nAnswer: -23*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a**2 + 31*a**2 - 63*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 501 + -453.4. Let r = z - 48. Is -1\/8 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 8) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (265\/106)\/(1\/6 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48139*b**4 + b**3 - 225952*b**2 wrt b?\nAnswer: -1155336*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/5404 and -25\/1574.\nAnswer: 4252948","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -365, -1459, -3275, -5807, -9049, -12995, -17639?\n\"Answer: s**3 - 367*s**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(6\/15) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 + n. Let t be 126883\/8186 + 58\/(-4). Let y(v) = -v**3 + 3*v**2 + 5*v. Suppose 4 = d + 3*d, -2*j - 2*d = 8. Calculate j*b(l) + t*y(l).\nAnswer: 4*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -107.1. What is the smallest value in 2, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -551, -10749, 5 in decreasing order.\nAnswer: 5, -551, -10749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 s when three letters picked without replacement from {q: 2, e: 2, a: 3, m: 1, p: 6, s: 5}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 12:50 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10*((-168)\/60)\/7\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -618 + 617.5. What is the second smallest value in 3\/26, 1\/3, 0.5, u?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -30. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:10 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/300 + m**4\/15 - 7*m**3\/30 - 2*m**2 - 8. What is w in i(w) = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 9*f**2 - 7*f + 7. Let o be h(-8). Let p be o + 1 + (-4)\/1. Let u be 2\/(-3)*6\/p. Are -1\/5 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -729824 divided by 6.\nAnswer: -364912\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2447114 litres?\nAnswer: 244.7114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3832*n = 1884*n - 9740 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 132*l**2 - 1 - l**3 + 133*l**2 to r*l**3 + u + k*l + v*l**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101)\/(-4))\/((-14)\/(-8)) - -23*(-135)\/7245?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507156939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:02 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 5) to base 7\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 + 2*k**2. Let l be s(0). Solve -3*f - 8 = 5*d + 24, f + 4 = l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.01 + 0.01. Let b = l + 25. Let t = -1 + b. Which is bigger: t or -3\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwttwxt. What is prob of picking 2 x and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/49960 and 33\/14.\nAnswer: 349720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3783.7 from -288.\nAnswer: 3495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 840 + 925 = -2*q, -3*q - 61 = 4*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 19, 2, 4, -3.\nAnswer: -19, -3, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 4. Let u(j) = 8*j**2 + 3*j + 9. Let v(n) = -n**2 - n. Let d(p) = -u(p) - 3*v(p). Let z(q) = 3*d(q) - 7*i(q). Differentiate z(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + 34*k**2 - 4*k - 6. Let c be o(11). Suppose c*w = 14*w + 399. Let y(p) = 1. Let a(d) = -d**2 - 3. Calculate w*y(q) + 2*a(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*l + 3*r - 32, -4*r + 16 = 0. Let q(n) = 8*n + 4. Let g be q(l). Suppose 0*d = -d + g. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -25. Let h be (-9)\/(-4) + -2 - 1\/a. Let w be (-1 - 0) + h + (2 - 0). Solve g = 3*q + 7, -w = g + q + 4*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5544 and 168.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 63. Let f be -1*((-4)\/q)\/(-3)*3. Calculate the highest common factor of f and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -144?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2089205, -8356798, -18802789, -33427178?\nAnswer: -52229965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*a**2 + a**3 + 13260*a**2 + 7158*a**2 - 3736*a**2.\nAnswer: a**3 + 16237*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 18 = -2*z - 54 + 9, 2409 = -3*z + 4*l + 2661 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 9*s**3 + 2 + s**4 - 1 - 2*s**2 + 7*s**3 + 4*s**3 as f + p*s**4 + c*s**3 + m*s + a*s**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 17 - 4 = 10*l + 5*r, 4*l + 147*r - 6 = 145*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10875)\/(-3915)*6\/(-20)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 - t - 8. Suppose -2*o - 3*o = -m - 15, 3*o + m = 17. Does 7 divide d(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199\/12 + -113\/12. Let a = 26143\/16 - 1633. Find the common denominator of n and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 51, 97\/4, 1, 4.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100176141 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 9*d - 0*d. Let q = 34 - d. Solve -q*p = -8 - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2591 + 3640. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*z + 252*z + 251*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(3\/2)*i)\/(i**(-11)\/i))**(-18))**(14\/13))**(1\/4) assuming i is positive.\nAnswer: i**(-1827\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/5)*k**(-4)*(k**(-1\/4))**(24\/11) assuming k is positive.\nAnswer: k**(-239\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744 divided by -248.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1764\/(-1386))\/((-4)\/110)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177\/9 + 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 337?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -112276.7 times 8.99\nAnswer: -1009367.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -18. What is the lowest common multiple of 4 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*z**3 - 21*z**2 + 130*z**3 + 21*z**2.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20706, 20704, 20702, 20700?\nAnswer: 20698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146277399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6644 + 7573. Calculate the remainder when 2789 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose -w*r = -g - 0*r + 44, -4*r = -5*g + 165. Let x = g - 3. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1754)\/3*(-13)\/((-338)\/(-39)). Let j = h + -240. What are the prime factors of j?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527610 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(14\/(-8) - (-1)\/(-4)). Which is the fourth smallest value? (a) y (b) 0.03 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) 1\/7 (c) 1839 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 2*u**2 - 2*u - 1. Determine o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/15 - (-6 + (-12)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 2. Let r = 1 + 0. Let l be q(r). What is the second biggest value in 0.3, 1\/4, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4791b8?\nAnswer: 4791bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -5 (b) -2447 (c) 1\/253 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) + sqrt(4)*1*3 - sqrt(4)) + ((-1 + sqrt(425))**2 - sqrt(425)) + sqrt(136)\/sqrt(128).\nAnswer: -173*sqrt(17)\/12 + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 0) + (-290 - -67) + 238\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11249, -22356, -33457, -44552, -55641?\n\"Answer: 3*g**2 - 11116*g - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 p, and 1 k when four letters picked without replacement from kpvkckkckcckpsckss?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 times -57605?\nAnswer: -23618.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -1028. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -4 + 3)\/(-3). Suppose v = -4*s + 6*s - 598. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*a + 27. Let t = a - 9. What is the units digit of 9 + 2 + (t - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*l - 16, -l - 9 = -2*i + 2. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1838, 1830, 1820, 1808?\nAnswer: 1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:48 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/1155*(-22)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24 and 269\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6 = -0*l, -415*o + 4*l + 4 = -411*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8154411 nanometers in millimeters?\nAnswer: 0.0000008154411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4959, 4960, 4961?\nAnswer: 4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1358 = -5*w, -811 = 3*w - 4*r + 9*r. Let z = -257 - w. Solve -4*k - 3*m - z = 0, -10 = -2*m + 4*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 + -0.03. Let c = -0.38 + f. What is the fourth biggest value in -1, 0.1, -2\/9, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f - 5*f - f**2 + (2*f + 1 - 2*f + 2*f)*(-8*f + 0*f - 3*f + (2 - 2 + 2)*(-3 - f + 3)).\nAnswer: -27*f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -180, -297, -290, -93, 360, 1135, 2298?\n\"Answer: 11*k**3 - 4*k**2 - 182*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**0\/l))\/l**3)\/((l*l**3\/l*l)\/(l**(-1)*l)))\/((l**(-1)\/l)**(2\/5)*(l\/(l\/((l**(-1\/4)*l)\/l)))\/((l\/l**6)\/l*l)) assuming l is positive.\nAnswer: l**(-179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.1, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**2 - 2*n - 3. Let d = 8 - 11. Let z be 1 + -1 + 1 + d. Is c(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 13*w + 41 - 2*w.\nAnswer: 11*w + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 47*t + 8. Let j(c) = -6*c**2 + 92*c + 18. Calculate 4*j(l) - 9*v(l).\nAnswer: 3*l**2 - 55*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:41 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 112\/76*93176\/107888\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15*22\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005720596 to 4 decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 5*m + 7*m. Suppose -5*t - 4 = -3*i, 17*t - 6 = 21*t - i. Let w(x) = x**2 - 3*x. Calculate t*w(q) + 3*d(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -552*t**6 + 338*t**2.\nAnswer: -66240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 25*r**2 + r + 2. Let k(f) = 2*f + 3. Let v be k(-2). Let j be (v - (-39)\/15) + (-4)\/(-10). What are the prime factors of m(j)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.035912 to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 649\/5975 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011100100 - 10000101?\nAnswer: -10111101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1521 and 55634631?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 5 (c) 0.5 (d) 2 (e) -1 (f) 2\/9 (g) 3.602\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -52 + 16 + -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-3)\/(-2)*2. Let h(q) = -3*q - 9 + i + q**2 + 6*q. Let s be h(-5). Calculate the greatest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - g - 14 = 0, -5*g - 7 + 0 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:07 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27221 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2. Let u(j) = -15*j**2 + j**2 - 23*j**2 - 10*j**2. What is r(u(o))?\nAnswer: -11045*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 31. Give y(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24*19\/(-608))\/(((-231)\/3304)\/(-11)).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 - 1765 - 1689 - 1767 + 5221 + 26*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -2093330742 = -2093330742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658374 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 2. Let b be k(-8). Suppose 0*z + 5*z - b = 0. Differentiate n - 3*n - 9*n - 11 + z wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*h**2*q + 623*h**2 + h*q - 63*h + 2*q - 47 wrt h?\nAnswer: -30*q + 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19604 = -23*h + 9652. Let f = -361 - -678. Let j = f + h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + (0 + -2)\/((-2)\/4). Let o = n - 29. Let w = -68\/5 - -13. Which is the second biggest value? (a) w (b) o (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3447 is divided by 1955?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6832 and 1168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3795278*n**4 - n**3 + 29*n**2 + 330493941*n.\nAnswer: 45543336*n**2 - 6*n + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let w(l) = -834348*l. Calculate w(i(z)).\nAnswer: -834348*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1614040 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**2 + 30*z - 572. Is 164 a factor of s(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*l**4 - 36*l**4 - 12*l**4)*(0*l + 6*l + 2*l).\nAnswer: -864*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 327010177*r**6 + 10*r**2 - 14058*r - 24.\nAnswer: 39241221240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 666*b - 111506467 + 0*b**3 + 2*b**2 - 2*b**3 + 111506737 wrt b?\nAnswer: -6*b**2 + 4*b + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 2. Let q = 1765 - 1760. What is the remainder when t(2) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. What is the second biggest value in -3, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Solve -4*p + 5 = m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 - 127*f**2 - 281*f - 34. Give c(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/24)\/(6\/4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + q**3 - 7*q**3 + 8*q**3)*(q - 16*q + q + (-2 + 0 + 0)*(2*q + 3*q - 2*q) - 2*q + 4 - 4).\nAnswer: -44*q**4 + 132*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 6. Suppose -5 = -4*f + 23. Let u be j\/(-10) - f\/(-5). What is the highest common divisor of 11 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 785030*c + 1 - 785033*c + 6. Let v(i) = -9*i + 2. Give t(v(l)).\nAnswer: 27*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 - 0.5. Let r = f + -0.01. Round r to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/40 - c**4\/24 + c**3\/3 + 3*c. Let z(o) be the second derivative of d(o). What is the derivative of z(m) wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*3\/(-13 - 5)*3744282 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/5, 0.5, -1066533.\nAnswer: -1066533, -2\/5, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = -9. Suppose -42 = -o - 2*o. Let x be (-7)\/o*(-3 - 1). Which is the third biggest value? (a) y (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 853 + -852.074. Round n to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -16\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3398349*c - 13*c**2 + 3398349*c.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96882 is divided by 808?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m - 0. Suppose m*k**2 + 5*k**2 + 4 - 6*k - 3*k**2 - 2*k**2 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 - (14 + -14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-4) - 0)\/14*14. Let b(y) = 2*y**2 + 5*y + 5. Let x be b(-5). Solve 3*a + 27 + 8 = -q*d, -3*d - 3*a = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Let d = 0 + s. Let z = -3 - d. What is the smallest value in 5, 1\/10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*r - 46. Suppose -r*a = -12*a. Suppose -m - 5*m = a. Solve m*k = 5*k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*r + 2796 = -3476 - 18055 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863*b**2 - 1744*b**2 + 886*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28894)\/4)\/(21\/(-14) - -1). Suppose 0 = -13*w + o - 3683. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 11)\/3*1. Let c(h) = h**2 - 2*h - 1. Let n(y) = y. Let l(m) = -c(m) + 2*n(m). Let b be l(p). Solve -2 = -2*i + 2*r, -b*r = -5*i - 5*r + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f - 110*f + 56*f + 35*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 38) + 0 + -9 + 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 678.4 + -551. Let k = q - 129. Sort k, -3, -2, -2\/7 in descending order.\nAnswer: -2\/7, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.49*399.583\nAnswer: 195.79567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27898.88 - 27899. Is 1036 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 7*v + 2. Let c be k(7). Let t be 7 + ((-30)\/20)\/((-2)\/(-4)). Sort c, t, -18.\nAnswer: -18, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -1814.47.\nAnswer: 1814.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/296 + 595\/888. What is the closest to -0.1 in 2, h, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -3 - (7 + (-7 - 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 6*y - y + 7, 3*i = 4*y + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027 * 5.9493.\nAnswer: -0.1606311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v - 2*v**2 + (-4527 - 6116 + 8574)*(v**2 - 4*v + 4*v).\nAnswer: -2071*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - 1710004 - (1 - 3). Round y to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65564033, -65564026, -65564013, -65563994, -65563969, -65563938, -65563901?\n\"Answer: 3*v**2 - 2*v - 65564034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 6*t - 2*t)*(-3 - 3 + 2)*((-3 + 1 + 0)*(-1 + 2 + 1) - 2 + 3 - 2).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -5 in descending order.\nAnswer: 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 + 5. Which is bigger: 0.121 or j?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -22*i + 4691. Give u(231).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003134 is divided by 7868?\nAnswer: 3898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 15*s**2 - s - 33. Let w be 4*4 - ((-73)\/219)\/((-1)\/3). Calculate o(w).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058494699?\nAnswer: 7, 107, 5418551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4*s - 5*s)*(-2*s**2 + 1074214*s - 1074328*s - 3*s**2).\nAnswer: 10*s**3 + 228*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 864 (b) 11 (c) -0.3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:10 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7006, 7007, 7010, 7015, 7022, 7031, 7042?\n\"Answer: i**2 - 2*i + 7007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -16. Let q(j) = -2*j + 2. Determine 8*q(n) + u(n).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 7*z + 3*z + 20 = 0, -n + 6 = 2*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -60. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 23*v**2 - 83*v - 720. Give n(-9).\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6019 - -3.5019. What is the closest to -6 in u, -4, -2\/11, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in -3, -0.2577, -110?\nAnswer: -0.2577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 441 - 4525?\nAnswer: -40b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5 + 3)*-34)\/2. Let p = -40 + m. What are the prime factors of 85*(-2)\/(-4)*p\/(-3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -52*g + 4. Suppose -5*x = 4*r + 34, -2*x - r - 17 = 4*r. Let q be y(x). Let b = q - 125. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -150. Let g = v - -76.7. Let z = 0.15 - 2.15. Which is the closest to -1? (a) -2\/5 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 1198\/30 + (-8)\/(-20). Let j = 40 - m. Sort 1, 2, j in ascending order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - r**2 + 4)*(5 - 3 - 4) + (2 - 2 - 1)*(-5*r**2 + 5*r**2 + r**2).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -1. Let u(a) = -11*a**3 + a**2 - 7*a + 8. Let l(s) = -10*s**3 + s**2 - 6*s + 7. Let p(c) = 6*l(c) - 5*u(c). Does 12 divide p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-174)\/(-60))\/(-29))\/((-53)\/(-954))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*x + 10, -4*q + 59 - 61 = -2*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/2, 2\/57, -1\/5, -2, 1\/4 in ascending order.\nAnswer: -2, -3\/2, -1\/5, 2\/57, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 382393.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-20)*(-40)\/15)\/(8*8\/64).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 9:32 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 2.178541.\nAnswer: 1.178541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f + 4*s, s - 4 = -2*f + f. Suppose -f*v = -0*v - 8. Let i(g) = 2*g**2 - v*g**2 + 2*g**2. Let j(b) = -b. Determine j(i(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 1. Let o(s) = -s**3 + 4*s**2 - 13*s + 5. Let c(m) = -3*j(m) - o(m). Let t be c(3). Solve t*h = -3 - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 206, 477, 846, 1307, 1854, 2481, 3182?\nAnswer: 3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - g + 2. Suppose 10*j - 7*j - 12 = 0. Suppose -j + 0 = 2*n. What is the lowest common multiple of 8 and z(n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 576, 547, 478, 351, 148, -149, -558, -1097?\n\"Answer: -3*v**3 - 2*v**2 - 2*v + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 d when four letters picked without replacement from {c: 15, d: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Let i be (1 - p) + 0 + -8. Let l = i + 14. Calculate the greatest common divisor of 36 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -185.798 = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let c = 11 - 6. Suppose -c*t - 5*g = -t + 8, -3*g - 18 = -i*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 4*y, -39*x + 43*x = -3*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10237, -20455, -30653, -40825, -50965, -61067, -71125, -81133?\n\"Answer: b**3 + 4*b**2 - 10237*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 6*n + 7. Let u be k(-5). Suppose -u*t = -5*t + 465. Let b = -13655 - -13717. Calculate the greatest common factor of t and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o. Let k(c) = -17*c. Let y(f) = -2*k(f) - 7*p(f). Let v(u) = -12*u**2 + 3. Calculate v(y(s)).\nAnswer: -12*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-7 - -9)) + -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101101100 (base 2) to base 12.\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdhd when four letters picked without replacement from {d: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1835 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.048 (b) 0.008 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 8:15 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {d: 1, x: 1, b: 2, g: 1, h: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65958428 by -65958428.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3241?\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/75646 and 29\/218.\nAnswer: 75646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/90*(-30)\/(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5049 + 5099. Solve 0 = -h*m + 47*m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*z**2)*(3 - 2*z**3 - 3) + (z**3 - 2*z**3 + 0*z**3)*(-13*z - z**2 - 11*z + 19*z).\nAnswer: -3*z**5 + 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78916.\nAnswer: 2, 109, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/5 + 2*m**2\/5 + 12*m - 144\/5 = 0. Calculate m.\nAnswer: -6, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 102. Let w be r(33). Suppose 0 = 4*g - 2*o + o - 25, -w*g + 35 = -4*o. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*t - 10, -5*w - 2 - 2 = -2*t. Let i = -1.33 + -0.09. Let j = i + 1.02. Which is the nearest to w? (a) -3 (b) j (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2185684*g**3 - 2185684*g**3 + 8742741*g**3 - 2185682*g**3 - 2185689*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 5*u - 1. Let p be f(6). What is the derivative of 2*s - p + 2 + 2*s wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-1*-3)\/(-4*(-6*sqrt(24)\/sqrt(3) - sqrt(8))).\nAnswer: 3*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 983488 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -93*t - 1. Give u(1).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -3, 10700, 5.\nAnswer: -5, -4, -3, 0, 5, 10700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g - 4. Let r(s) = 5*s - 3. Determine 5*r(m) - 4*y(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 100\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52, 868, 3052, 7282, 14236, 24592, 39028?\n\"Answer: 113*m**3 + 6*m**2 + 7*m - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-3)*9\/6. Suppose -2*u = 4*r + 62, -10 = x*r - 7*r. Let b = 50 + u. What is the remainder when 26 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 8:33 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o - 47*o - 204 = 0. What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:05 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 106639\nAnswer: 23\/106639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5)*j*j)**50)**(2\/17) assuming j is positive.\nAnswer: j**(260\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*-2*sqrt(1225))\/(-3*sqrt(10)\/sqrt(18)).\nAnswer: -84*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -163. Let t = s + 543\/4. What is the closest to 2\/7 in -2\/7, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 171*y**3 - 2 - 122*y**3 + 126*y**3 + 143*y**3.\nAnswer: -24*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*w - 55 - 77, -3*w = -9. Calculate the highest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320649*w**3 + 3 + 0 + 8*w**2 - 3.\nAnswer: 320649*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*z**5 - 56428*z**4 - 22487540*z**3 - 294006676*z**2 - 699082440*z + 482983200 = 0. Calculate z.\nAnswer: -777, -10, -4, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18726024, 37452048, 56178070, 74904090, 93630108?\n\"Answer: -y**2 + 18726027*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -1\/7 (b) 7.26 (c) -0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**(1\/17))\/b*b)\/((((b*b\/(((b\/(b*b**(-11)\/b*b))\/b)\/b))\/b)\/b)\/b)*(b**(-29))**(-49) assuming b is positive.\nAnswer: b**(24360\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -121194?\nAnswer: 36358.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -106, -161, -214, -265, -314, -361?\n\"Answer: g**2 - 58*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1328)\/(-19920) - ((-4334)\/15 - 0). Calculate the greatest common factor of 136 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79967*g - 43 = 3*i + 79965*g, 2291 = -153*i + 4*g for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 2\/9 (c) -4\/7 (d) -25 (e) 23212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 - 124*c**2 + 7*c - 45. Calculate q(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o - 1. Calculate the smallest common multiple of 12 and x(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(6) - (-3*sqrt(6) + sqrt(6))) + sqrt(6))*-4)\/(sqrt(3)*1*-3).\nAnswer: 5 + 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14335*q**5 + q**4 - 2*q**3 - 2503*q**2 + 2*q - 1?\nAnswer: -860100*q**2 + 24*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i**9*i))\/i)\/i**(7\/5))\/((i**(-3)\/i)\/((i*i**(5\/2)\/i*i)\/i)))**(2\/15) assuming i is positive.\nAnswer: i**(-13\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 + 31*j**2\/3 + 28*j\/3 - 20.\nAnswer: (j - 1)*(j + 2)*(j + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -496 and -1.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4 + 408*p**3 + 20808*p**2 = 0.\nAnswer: -102, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20, 5, 1, -1, 580 in descending order.\nAnswer: 580, 20, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)*j)\/j**(-8))\/(j**(-5)\/(j\/(j**(9\/2)\/j))) assuming j is positive.\nAnswer: j**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41599, 83195, 124791, 166387, 207983?\n\"Answer: 41596*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29430231 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 7. Calculate the remainder when 39 is divided by j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -257\/5 in -0.1, -5\/4, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - -13. What is the remainder when 1534 is divided by j?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:54 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l**2 + 13*l - 35. Let f be g(8). Let t be (-51)\/f*2\/3. Factor -2\/11*j**2 - 2\/11*j + t*j**3 + 2\/11.\nAnswer: 2*(j - 1)**2*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let h(t) = -364 - 1503 + 374 - 910 - 2*t. Calculate i(h(d)).\nAnswer: -4*d - 4806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, 184, 5, 4, -39.\nAnswer: -39, 4, 5, 184, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 2*v**2 + 0*v**7 - 1\/84*v**8 + 0 + 0*v**5 - 1\/6*v**4 + 0*v**6 + 0*v + 0*v**3. Find the second derivative of a(g) wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 - -13449402.\nAnswer: 13449253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.04 + 16.02. Let m = b - 23. Let j = -0.59 + m. What is j rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 46684, 1 in increasing order.\nAnswer: 1, 3, 46684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183\/715 - 8\/143. What is the closest to z in -1\/4, -2\/9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(396).\nAnswer: 4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-6))\/(-17)*-16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1765 - 1755. Solve z*f + 18 = -8*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 + -70. What are the prime factors of o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735038100 rounded to the nearest 1000000?\nAnswer: -735000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -3*b - 17. Is 4*(0 + 1) - b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**4\/5 + 2*u**3 + 2*u**2\/5.\nAnswer: 2*u**2*(u + 1)*(4*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 344705.5t?\nAnswer: 344705500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 + 148 = -4*h. Let r(d) = -3*d - 7*d + 6 + 2. What is the tens digit of r(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269\/15 + 55\/3. Let v = -0.32 + 2.02. Let r = v + -2. What is the nearest to 0.1 in 0, r, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - x + 16 = 0, 5*s + x = 18595 - 18624 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-30) - (-22)\/(-10)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, -39 in ascending order.\nAnswer: -39, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 36. Solve -3*g - 10 = -7*g - 2*j, y*g + 5*j = 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3492968307?\nAnswer: 3, 29, 31, 1295131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10176419 divided by 29.\nAnswer: 350911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82544790.\nAnswer: 2, 3, 5, 2751493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37737963, 37737954, 37737933, 37737894, 37737831, 37737738?\nAnswer: 37737609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11619550.\nAnswer: 2, 5, 232391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (133 - 138)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -9. Suppose y - 9 = h. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:53 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 68\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 11}. Give prob of picking 3 c.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -1\/3, -0.8, -1, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 4) to base 2.\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {c: 2, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4473728165 or 1?\nAnswer: 2\/4473728165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 + 57 + 470*r**2 + 51 + 55.\nAnswer: 470*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b + -d9?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 4*b - 80 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 4*v**2 - 3*v + 2. Let u be w(2). Let f = u - -12. Solve f = j - 4*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 3. Let t be m(4). Calculate the common denominator of 1\/15*54\/4 and 1 + t - (-72)\/56.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*p**5 - 14*p**3 + 3338*p?\nAnswer: 1340*p**3 - 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 424 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9641 - -9659. Let u be (7*1)\/(6\/30). Suppose x + 4*r - 131 = -u, -3*r + 3 = 0. Calculate the smallest common multiple of x and j.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 758.\nAnswer: 227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from cliichwfl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3532*j**2*s**3 - 2*j*s**2 - 3*s**3 - 5*s**2 + 27 with respect to j.\nAnswer: 7064*j*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27642862 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i - 17. Let a = 2 - i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 12. Suppose 0 = 3*j - 9, 0 = 133*f - 137*f - 5*j + 63. Calculate the greatest common divisor of f and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 830059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 18*t**2 - 3*t**2 + 11*t**2. Let d(a) = -3*a + 2. Let u(o) = -5*o + 3. Let i(p) = -3*d(p) + 2*u(p). Determine i(y(c)).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -19, -62, -153, -310, -551?\n\"Answer: -3*o**3 + 3*o**2 - o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -39 (b) -1 (c) -2\/19 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 4*r + 4*h, 3*r + 72 = h + 2*h. Let l = r - -13. What is the remainder when 3 is divided by 7\/((-28)\/l) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3603778?\nAnswer: 2, 23, 157, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 24)*(-2*p - 3*p + 4*p) + p - 3*p + 3*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-512)\/(-12))\/2*2\/((-32)\/(-12))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 6*x + 3*x)*(6 - 6 - 3*x).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3 = 6*r, 5*r + 8*s = 9*s - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 2:16 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*o + 52*o - 3906 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -692 - -691.6. Which is the closest to 0.15? (a) z (b) -1\/2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 2a3a79?\nAnswer: 2a3a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 156020 - -12?\nAnswer: 156032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((-6)\/(-861))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.04. Let v = o - 0.16. Sort v, -1\/3, 0 in ascending order.\nAnswer: -1\/3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321310 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 3, 1583 in increasing order.\nAnswer: 1, 2, 3, 1583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (-7103 + 5)\/42\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -20. Suppose w + a = -a + 12, 4 = 5*w - c*a. Suppose -3*y + 4*l + 144 = 0, 0*y - w*l = 4*y - 192. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**9*o**8)\/((o*o**(-2\/17)*o)\/((o\/(o\/(o**7*o)))\/o)))\/(o*o**(3\/4)*o**2\/o*(o**2)**(-12\/11)) assuming o is positive.\nAnswer: o**(16119\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*c - 7*x + 5*x, -2*c = -2*x - 10. Let t(o) = 13*o - 67. What is the remainder when 42 is divided by t(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/120 + -15*(11 - (-7163)\/(-650)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t + 1022 + t - 52*t**3 - 1053 wrt t.\nAnswer: -156*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7769063*g**4 + 11183619*g**2 wrt g?\nAnswer: 186457512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 614?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7574 - -7712. What is the third biggest value in r, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10222*x + 102 = -10228*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 4*v**2 + v + 2. Let k be g(-4). Calculate the remainder when 144 is divided by 792\/16 - (-1)\/k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**2 - 1\/14*p**7 + 0*p**4 + 2*p + 0*p**3 + 3\/10*p**5 - 1\/10*p**6 + 0. Solve a(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*u**3 - 60*l**2*u + 27*l*u**3 - l*u wrt u.\nAnswer: -12*l**2*u + 162*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 57, -4, 2 in ascending order.\nAnswer: -4, 0, 2, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, j: 4, x: 3}. What is prob of picking 1 s and 1 x?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25263394.\nAnswer: 2, 13, 17, 61, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*w - 3*z, -117*z + 113*z = -3*w - 5. Solve 5*r + 21 = 2*l + 7, -w*l = -2*r + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1244 + 1254. Solve -25*a = -i*a - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o**2 - 18*o + 19. Give q(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72983963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 207113 and -0.01.\nAnswer: -2071.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1145893 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xppwpqqp. Give prob of sequence xp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Let i(x) = x**2 - 2. Let s be i(c). Let q be ((-2 - -2)\/2)\/s. Is q at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) -0.6 (b) -1\/11 (c) 7.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15781555463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*m = -36, -2*m - 18 = -2*s + 2*m. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346074 rounded to the nearest one thousand?\nAnswer: -346000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/21 and -41\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5990.906 take away -3655725?\nAnswer: 3649734.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 + 1 - u**3 - 6*u**2 + 4*u**2 + u + 9*u**2 as i*u**3 + o*u**2 + n + m*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/8 + (-3)\/(-4). Is ((-113)\/n)\/((-5)\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 74 + -27?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -27*g**2 - 8*g - 15. Let b(s) = -18*s**2 - 5*s - 10. Let f(d) = 8*b(d) - 5*z(d). What is the derivative of f(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452 - 68 = 111*b - 135*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 - c**2 - 2*c**2 - 3*c**2. Let o(b) = 2*b. What is g(o(x))?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (3 + -3 + -3). Suppose 0 = z + q - 60. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*v + 26*v - 439. Let i = -353 - v. Which is bigger: i or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:08 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 3*y**2 + 3*y**2 + 3*y**2 + 0*y**2 - 2*y**2 - 2*y**2 + 2*y**2 - y**2 + (-y + 0*y + 2*y)*(4*y - 2*y - 4*y) + 1 - 2*y**2 - 1)*(20 - 54 + 25).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.2 - -67.2. Let a = 58 - s. Suppose -5*o + 27 = 5*q - 3*q, 2*q - 12 = -2*o. What is the smallest value in -0.2, a, 2\/11, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1845839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.9. Let z = -1 - c. Let h = -36 - -35.9. What is the biggest value in h, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:47 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - 97*p)*(9*p**4 + 7*p**4 + 9*p**4 + (3*p - 2*p + p)*(p**3 + 0*p**3 - 3*p**3)).\nAnswer: -2058*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97192176 is divided by 98873?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 26*v**3 - 9*v**2 - 60*v - 4. Let t(q) = -53*q**3 + 19*q**2 + 135*q + 9. Determine -9*d(g) - 4*t(g).\nAnswer: -22*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 + -2 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - -15.4. Let c = v - 16.2. What is the second smallest value in -1\/4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134386771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 12:55 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 + 51438606*m**2 - 102877203*m + 51438600 = 0. What is m?\nAnswer: 1, 17146200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 113*b**2 + 404*b - 4. Let c(q) = -q. Determine h(c(l)).\nAnswer: 113*l**2 - 404*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -33, -11, -4, -39, 1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, g: 6, i: 3, t: 3}. Give prob of sequence vtig.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1246 * -67435\nAnswer: 84024010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82885 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/135)\/(1\/1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(30)\/(sqrt(640) + sqrt(640)*5) + -4.\nAnswer: -5 - sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 39*v - 15*v + 1 in the form j*v + o and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -115290 divided by 427\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = c - 8. Suppose -3*w = 2*f - 15, 5*f + 2*w = -3*w + 40. What is the greatest common factor of f and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 2*n + 63. Suppose -4 = 11*d - n*d. What is the closest to d in -4, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 869 and 3091?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-140) - ((-332)\/7)\/2. What is the third derivative of 69*t**2 - 13*t**3 + 61*t**2 + w - 24 wrt t?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvbbbbbbbvbvbbb. What is prob of picking 2 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.2 (c) 0.1 (d) 1.485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2. Let q be h(-1). Let a be (q - -1)*(-4)\/(-6). Find the second derivative of -2*x**3 - a*x + 6*x - 3*x wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15e + 196a5?\nAnswer: 19546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:20 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 y when four letters picked without replacement from {m: 5, o: 7, b: 1, y: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 39*a + 81. Calculate s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 9836755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.3 (b) 2\/3 (c) 55 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -21383197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:01 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*t - 339, 3*d - 6*d + 3*t + 255 = 0. Calculate the remainder when d is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 375 = -945. Let s be (-4)\/(-7) - l\/7. Solve 5*f = 5*i + s + 8, 8 = -2*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6690 - 35796 = 21*s. Let u = -751 - s. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 78\/8 + 7\/(-56)*6. Solve 13 = -4*y - i, -4*i + d*i = 3*y + 27 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.1, -1\/57, -4314 in descending order.\nAnswer: -1\/57, -0.1, -9, -4314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2317 (b) -1 (c) -0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 4*k**2 + 39*k + 54. What is the least common multiple of a(-6) and 14?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 0*j**2 + 3*j**2 + 8*j**2 + 9*j**2.\nAnswer: -11*j**3 + 20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 27 - -25 - -2 - 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514225 (base 6) in base 2?\nAnswer: 100000110100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*h - 7 = 307*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, e: 3}. Give prob of sequence ekkk.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/45252 and -103\/17598.\nAnswer: 316764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-16)*62\/(-1209)*-26*-22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 8*t - 7. Let j(v) = 4*v**2 - 25*v - 21. Let m = -14 - -16. Let b(a) = m*j(a) - 7*f(a). Let c be b(-5). Solve 2 = c*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1871*q + 1570 = -2185*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {r: 6, q: 10, s: 1}.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7310 is divided by 7232.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10*c**3 + 5*c**2 - 5*c - 4. Let p(d) be the first derivative of -9*d**4\/4 - 2*d**3 + 3*d**2 + 5*d - 491. What is -6*j(x) - 5*p(x)?\nAnswer: -15*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(360)\/(sqrt(24)\/sqrt(2)) + (sqrt(30) + sqrt(30)*3)*6)\/((sqrt(66)*1 + sqrt(66))\/sqrt(11) + sqrt(6)*-1*4).\nAnswer: -50*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*u + 25, 0 = 5*s + 5*u + 28 + 12. Let f(y) = -5*y**3 - 6*y**2 + y - 2. Let t be f(-2). Which is the closest to 0.1? (a) t (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 6 + 18 - 137*a to the form y + r*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (-6 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let q = -124 - -124.3. What is the nearest to x in q, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 + 375 - (-10 + -2 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -146*c - 150*c + 5 + 0 + 3 + 299*c. Let l(i) = 7*i - 3. Let d be l(3). What is the units digit of n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 1012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35329 divided by -5047.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or -186?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1181994, 1181992, 1181990?\nAnswer: 1181988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiwx when four letters picked without replacement from xwqxxqiqwxixqii?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*y = -l + 6, 3*l - 18 = 3*y. What is the lowest common multiple of ((-8)\/5)\/(13\/(-65)) and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z**(2\/39))\/(z\/(z\/(z*z**(2\/29))))*z*z*z**(-7)*z*((z\/(((z*z*z**1)\/z)\/z))\/z)\/z*z)**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:44 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**2 + 0*y**6 + 8\/3*y**3 - 4*y + 0 + 0*y**5 - 1\/7*y**7 + 0*y**4. Find the second derivative of c(i) wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (89 + 52 - 40)*(1 - 1 + r**2) in the form k*r + c + f*r**2 and give f.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533923029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110001 (base 3) to base 16.\nAnswer: f82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 23*u**2 - u + 9. What is c(23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 10*l**2 + 5*l - 9. Let x be p(6). Let g = 54 + x. Sort -3, 0, g, -4 in ascending order.\nAnswer: -4, -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6847 - 6798 + n + 13679. What is z(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*q + 432*q = 2562. What is the remainder when 3839 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607299 (base 10) to base 9.\nAnswer: 1125046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, 1218, 2, 0.126, -0.049?\nAnswer: 1218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 8975b?\nAnswer: 89761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -25 - (12 - 29)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 321, 645, 969, 1293, 1617, 1941?\n\"Answer: 324*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 35*j + 169 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + -1 + (-12 - -9) + -16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 1 (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**10\/30240 + q**7\/630 - q**4\/3 - q. Let l(r) be the third derivative of b(r). What is the third derivative of l(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2 - (-49)\/28*-20). Solve 10*x - 37 = -u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.452 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -51. What is the units digit of -117*(1 + v\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000654 rounded to 5 dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54679089.\nAnswer: 3, 17, 63067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20747 - 20474. Solve -265 + u = -2*x - 2*b, 5*x = -4*b - 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*w - 111*w - 32 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.5526 litres to millilitres.\nAnswer: 931552.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v = -42*v - 256. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88\/48 + ((-7)\/6)\/(-7). Suppose 4*z - 32 = -2*n, -m*n + 4*n + 31 = 3*z. Calculate the smallest common multiple of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -78, 30, 5, 2\/11, 2, -5?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 2*r - 5, 0 = 4*s + 2*r + 18. Let d = 976 - 980. Let t be (0 - d)*(-31)\/31. Which is the smallest value? (a) s (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34959 (base 12) to base 15.\nAnswer: -15d40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 25. Let k = l - -30. Let x = 0.06 + -4.06. What is the third biggest value in k, x, 0.11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 10*k - 27. Suppose 0 = 2*o + k*h - 52, 2*o - 2*h + 5 - 77 = 0. Calculate the remainder when 46 is divided by (0 - o)*(-1)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) + -1*sqrt(190) + sqrt(190))*1 - sqrt(190))\/(-1*sqrt(250)).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 720 = 96*c - 91*c, 0 = 3*b - c - 2104. What is the greatest common divisor of 550 and b?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139728 or 147639?\nAnswer: 147639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, c: 2, u: 3}. Give prob of picking 1 c and 1 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:08 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 51321947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 479, 1234, 1993, 2756, 3523?\n\"Answer: 2*p**2 + 749*p - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 994, 1507, 2488, 4093, 6478, 9799, 14212?\nAnswer: 19873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/9 + 2*s**4\/9 - 14*s**3\/9 - 2*s**2\/9 + 4*s\/3 = 0. What is s?\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*g**2*n**6 - 10*g**2*n**2 + 5*g**2 - 188*g*n**4 - 6*n wrt n.\nAnswer: 5280*g**2*n**3 - 4512*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*56\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(-6*x - x + 5*x)*(-81 - 32*x**2 + 81)*(-3 - 1 + 6) in the form z*x**2 + h + l*x**3 + v*x and give l.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6892 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(208) + sqrt(208) + 5 + -4)**2 + 2*sqrt(208)*-1*1)*6.\nAnswer: -48*sqrt(13) + 4995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-1)\/(6*-1)). Suppose 0*z + p = -4*z. Let s(y) = -y**2 + 3*y + 3. What is s(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -0.907 (c) 2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33345*h*l**2*y + 31*h - 42*l**2 - 9*l wrt y?\nAnswer: 33345*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -17.9. Which is the closest to -10? (a) s (b) 0 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296849 + 514842. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -45 + 14 + 1 - -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 + 9 + -33 + -24 + 35.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f - 4*f. Suppose 0 = f*p - 30 - 123. 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 fourth smallest value in -228, 39, 0.03, 26?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:23 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011022211011001 (base 3) in base 11?\nAnswer: -9441112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*q + 30 = 0, 9 = -4*k - 4*q + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8972 + 8967. What is the closest to -1\/5 in 1, 3.3, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.4 (c) 1 (d) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10442697 divided by 12417?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*u + 69984, -8*l + 2*u - 41992 = -11*l. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 11. Let c be (-3)\/s - (-49)\/3. Let q = -2 + c. What is the greatest common factor of 98 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*147\/3136)\/(33\/(-4)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 452*z - 6696 + 368 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -33*s**2 + 2. Let t be j(2). Let m(x) = 33*x**2 + 6*x - 5. Let a be m(3). Let r = t + a. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*h - 5*h. Suppose -2*u - 4 = 2*z - 4*u, 3*u - 3 = h*z. Suppose -4*x + z*n = -54, x - n = 2 + 12. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(-675 - 5*h + 1446 - 701).\nAnswer: 15*h - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1) + (-359990 - 6). Let t be o\/(-4) + (-3)\/(-12). What is t rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 30 = 23*u. Sort 5, 1, u in descending order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*-3*4\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -670 and -0.003?\nAnswer: 669.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + y**2 - y + 2. Let d be a(-2). Solve r + d + 2 = -4*p, 0 = 3*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8324902 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**3*w**2*y**2 - 33*c**3*w*y**3 + 2*c**2*w**2*y**3 - c**2*w**2 - 4*w**2*y**2 - 2*y**2 wrt y.\nAnswer: -198*c**3*w + 12*c**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + 5.07. Let b = 8 - l. Let j = 2.04 - 0.04. What is the second biggest value in 0.3, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168207219 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 are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6195, -12395, -18595?\nAnswer: -24795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*c + 133 = -0*c, 2*c + 211 = 2*f - 3*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433 (base 5) in base 2?\nAnswer: -11110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94101526 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811651655?\nAnswer: 3, 5, 11, 2087, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 548684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428490?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*16\/3. Let v = 15 + -42. Let j = v - -31. Solve y = -0*r + j*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106623 + -106368.955. Let i = m - 254. Which is the biggest value? (a) i (b) -0.1 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 1982 = 1982. Let a(x) be the first derivative of 3\/2*x**4 + n*x**2 + 0*x**3 - 28*x + 11. Differentiate a(d) wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(1400)*-4)\/(1*sqrt(392) - (sqrt(48)\/(sqrt(6) - sqrt(6)*-2) + sqrt(8))).\nAnswer: 240*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 3. Suppose -4*v - 5*l = -13, v - i*l - 1 = -2. Solve 0 = -v*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1, 0, 0.7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 506?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -3 (b) -5 (c) 1 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 0.21, 1.2, -3, 4, 12, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/((-390)\/69984) + 8\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 414699*p*z**3 + 23*p*z**2 + 9915662*p wrt z.\nAnswer: 1244097*p*z**2 + 46*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) + 104\/40. Suppose 2*d = -p*z + 16, 2*d - 2*z = -3*d + 2. Let s(a) = -7*a**2 + 3*a**d + 3*a**2. Let u(f) = 6*f. Calculate s(u(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x + 12. Let l be z(9). Let k = 38 - l. Put 5, k, 3 in ascending order.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2)*(25 - 185). Suppose j = -4*q + 6*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 3*l**2 - 2*l**2. Let u(a) = a. Let q(c) = 0*c - 4*c + c. Let p(h) = 3*q(h) + 8*u(h). Determine p(b(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*y + 1 + y - 1 to the form k*y + n and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5005*x - 30032. Let y be g(6). Let m(j) be the third derivative of j**5\/60 - j**4\/6 - j**3\/2 - 2*j**2. Determine m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6290642, -12581253, -18871832, -25162379?\n\"Answer: 16*b**2 - 6290659*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000011001 (base 2) in base 15?\nAnswer: 6e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45121 (base 12) in base 14?\nAnswer: -2561b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:18 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20456 and 14?\nAnswer: 143192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 28*b - 37*b + 1)*(2*b**4 - 3*b**4 - 2*b**4 + (0*b - 2*b - 2*b)*(0*b - b**3 + 0*b)).\nAnswer: -65*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -25. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100123201 (base 4) to base 3.\nAnswer: 10102022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17799672 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) -2\/19 (c) -2061 (d) 4.8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 572*w**4 - 2*w**2 + 1075.\nAnswer: 2288*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*j - 2*f, -f + 1 + 0 = 0. Suppose 0 = -16*n + j*n + 219. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*h**2 + 2*h - 2*h**3 + h - 2 - 68*h**2 to d*h**2 + s + a*h + c*h**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 - -1.08. Sort -4, -0.28, q, 5 in increasing order.\nAnswer: -4, -0.28, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 6218.486519?\nAnswer: 6223.486519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 5.6. What is the closest to 14 in 2\/3, -4, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/360 + 4*p**3\/3 - 3*p**2. Let k(l) be the first derivative of q(l). Let a(o) = 37*o. Determine k(a(g)).\nAnswer: 1369*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 19\/4. Put -0.09, r, 1\/2 in decreasing order.\nAnswer: r, 1\/2, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1038 and 66.\nAnswer: 11418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, 2*t - 9*r + 0*r - 208 = -5*r. Calculate the remainder when t is divided by 2\/(2\/19) - 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:05 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 224*j**3 - j**2 - 2. Let k(w) = w**3 - w**2 - 2. Give -b(h) + k(h).\nAnswer: -223*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/17, 47, -997, 3\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*g + 4 - g)*(14*g**2 + g**2 + 5*g**2 + (0*g + 4*g - 2*g)*(0*g + 30*g - 4*g)) as n*g**2 + l*g + r*g**3 + o and give r.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a week in hours?\nAnswer: 812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 2*d - 10, 10143612*q + 5*d = 10143617*q - 50 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2024*q**3 - 562*q**3 + 3037*q**3 - 441*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 9*j - 11. Let t be a(-9). Let g = 85 - t. Suppose 6*v - 3*v = g. Solve 4*s + v*z = -22, 3*s + 4*z = -2*s - 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3\/5 - 10429*w**2\/5 + 271661*w\/5 - 353379 = 0.\nAnswer: -10455, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 23. Let p(x) = -10148*x - 11047. Let s(l) = -13*o(l) + p(l). Find the first derivative of s(c) wrt c.\nAnswer: -10135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1745829326 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 283.6497 kilograms?\nAnswer: 283649700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 255.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*m = 8*m + 187, r + 2*m = 69. Suppose 50 = -0*d + 2*d + k, -4*d - 4*k + 108 = 0. Suppose -3*g + r = d. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 11. Let d(l) = -9400001*l**2 - 3*l - 2. Let a be d(y). Round a to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1386 + -6753?\nAnswer: -7ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375742 is divided by 1033?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00682 to four dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -14*l + 60. Solve -l*z + 5 = -0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -53. Which is the closest to n? (a) 0 (b) -1\/7 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 2*f - 1. Let h(u) = -u**2 - 3*u + 1. Let i = -13 - -7. Determine i*x(s) - 4*h(s).\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/6408 and 1\/25190?\nAnswer: 80708760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2342 times -0.296\nAnswer: 693.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -1.1. Let u = 14 + -4. Let x = -11 + u. Are x and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 take away 9853565.40326?\nAnswer: -9853626.40326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 - -0.03. Suppose 3*s - 8*s + 5 = 5*v, 5*v - 9 = -3*s. Let n be 91\/(-21) - s\/(-3). What is the smallest value in -4, n, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3870 or 0.055?\nAnswer: -3870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1177 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -4*u + 2*a, 0 = -u + 3*a - 2. Suppose -s + 1 = -u. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(10\/3)*t)\/t)\/t)\/((t\/(t\/t**(-8\/5)))\/t) assuming t is positive.\nAnswer: t**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4 + 5*i - 5 - 1 - i. Let t(d) = -9*d + 1. Let s = 12 + -16. Let o(z) = 5*z - 1. Let g(y) = s*t(y) - 9*o(y). Calculate 5*c(r) + 2*g(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 + 2*v**2 - v**2)*(-v - v + v)*(3*v + 0*v + 3*v)*(2 + 1 - 4) as a*v**4 + x*v + i*v**2 + q*v**3 + f and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 2. Let t(w) = -16*w + 7. Let s(z) = -2*t(z) - 7*y(z). Let d(f) = f + 3. Let j(a) = 6*a + 16. Let l(m) = -16*d(m) + 3*j(m). Give s(l(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5 = 2*m + 3 - 23, 8867*s + 48 = 3*m + 8864*s for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 92\/28 + 2\/(-7). Let 2*c**2 + 0*c**3 - 3*c**5 + 3*c**p + 2*c**5 = 0. Calculate c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3000*p**2 + p + 5. Suppose 0*x + 5*b - 14 = -3*x, x = -4*b + 7. Suppose d - x*d = 10. Let u be q(d). Round u to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5194)\/(-6) + ((-4)\/(-3))\/4. Let b = p - 609. What are the prime factors of b?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 5682\nAnswer: 1704.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 31 + 589. Let o = 709 - 706. Suppose -c = -7*l + o*l. Calculate the remainder when 91 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/9 + (-770)\/609.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1 - (-8 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941550.8 millilitres to litres.\nAnswer: 941.5508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130258 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 161a8bbc + 4?\nAnswer: 161a8bc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 1\/60*z**5 + 0 + 0*z**4 + 0*z**3 - 1\/70*z**7 + 0*z**6 + 0*z + z**2. What is the third derivative of d(o) wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c + 60 = 38*c. Suppose 706 = c*r + 418. Calculate the smallest common multiple of r and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 16)*(-2*k - 3*k + 4*k) as g + i*k and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 262238491 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 - 2441*x - 5958481.\nAnswer: -(x + 4882)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjxxjjxxxxx. What is prob of sequence jx?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -139. Suppose 2*p - 4*d = 44, -l*p - 4*d = -36 - 88. Solve -5*b = 4*i - p, -3*i = -4*b + 1 + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -5*f + 10*f. Suppose -29*i = -24*i - f. Solve -c + 2*l = 8, 0*c - i*l + 18 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351011 (base 7) to base 3\nAnswer: 10012010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4719b9 (base 14) to base 9\nAnswer: 4505270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyyyhyhkhkykkkkk. What is prob of sequence khyk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 0*l**2 + 0*l - 2*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9736 is divided by 694.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-352) - (-549)\/1342. Determine m so that 4\/11*m**2 + 0 + 0*m + l*m**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*t**2 + 2*k*t - 25006416*k*z - 20771*t**2*z - 178*t wrt t.\nAnswer: 6*k*t + 2*k - 41542*t*z - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 12 = -4*z, 4*z + 3 = 5*z - s. Suppose -2*k + 15 = z*k. Suppose 0 = -4*x - x + 25. Solve 5*m + x*d = 4*d - 12, k*m - 4*d - 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 22 = 5*d, 4*p - 2*d + d = 44. Find the first derivative of 6 - p*j**3 - 15*j**3 - 57 - 14*j**3 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/4)*u)\/u**(-1\/39)*u**28\/(((u\/(u\/(u**(-13\/6)*u*u)))\/u)\/u))**17 assuming u is positive.\nAnswer: u**(29121\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 - 3*s**2 + 3*s**2 - 9*s + 7*s**4 + 9*s + (-2*s**2 - 2*s**2 + 3*s**2)*(s - s**2 - s) as b*s**4 + z*s**3 + l*s**2 + i*s + a and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 63 - t + 5*t + 9*t + 20*t - 333. Let c be b(9). Solve -5*y + 3 = -2*h - c, 2*h = 2*y - 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - 176. Suppose c = 4*y + 20, h - y = -19 + 29. Let a(r) = r**2 - 5*r - 1. Let d be a(5). Sort d, h, 6 in descending order.\nAnswer: 6, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(15\/20). Suppose 4*p - q - 2 = 0. What is the remainder when 18 - (p - (2 + 1)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 8}. What is prob of picking 2 t and 1 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/6)\/i)\/((i\/(((i*((i\/((i**(2\/3)\/i)\/i))\/i)\/i)\/i)\/i))\/i))**(-4\/25)*(((i\/i**1*i)\/i*i)\/i*i*i**(-1\/4))\/(i\/i**1)**15 assuming i is positive.\nAnswer: i**(99\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*y + 126*y - 30 = -4*n, -3*n = -2*y - 5. Let o = 0.9 + -1. Which is the fourth biggest value? (a) 0.04 (b) n (c) o (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034882327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13253 + -185425\/14. Let a(f) = -4*f**2 - 3*f - 12. Let y be a(-20). Let i = y + 58993\/38. Calculate the common denominator of r and i.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 393, 828, 1421, 2172?\nAnswer: 3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5070 and 1876524?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 - -4. Let j = 1.2 - 0.2. Let m = j - z. What is m rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006811565.\nAnswer: 3, 5, 67120771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567613 is divided by 567457?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/9, -0.04, 5, 3\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 12*t = -22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Suppose -92 = -f*m + 60. Let q = m - 268\/7. What is the smallest value in 0.4, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12613 (base 9) to base 10\nAnswer: 8517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37 - 4 - 2 + 106*v**2 - 7*v + 178*v**2 wrt v?\nAnswer: 568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 + 396*o**2 - 2168*o - 5952 = 0. What is o?\nAnswer: -2, 8, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c + 3*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((4 - 1) + (16 + -87 - -11))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 + 2*l**2 + 13*l - 3. Determine d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w - w + 4*w to the form u*w + i and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 + 4*n + 12. Let k(v) = 11*v**2 - 9*v - 24. Let l = -7372 - -7365. Calculate l*u(a) - 3*k(a).\nAnswer: 2*a**2 - a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -1)*2\/(-2). Let z = 6 - m. Let s(d) = -2*d**3 + 4*d. Let x(j) = -j. Give z*s(n) + 4*x(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:33 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -46095\/17833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*b**3*w**2 - 121*b**3 - 2*w**4 + 20*w + 2 wrt w.\nAnswer: 12*b**3*w - 8*w**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2450, -2445, -2436, -2423, -2406?\nAnswer: -2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in 171.33, -5, 1, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144860 is divided by 3447.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.79 (b) 2 (c) 3 (d) 0 (e) 0.25099\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 846 and 74730.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 + 20*w**2 - 8*w - 80 = 0 for w.\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*252\/(-6615) + (412\/(-14) - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7920057 + 3.789. Round b to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 28\/(-8) - (-19 + 21)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359694.928 rounded to the nearest ten?\nAnswer: -359690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 5\/6*o**3 - 5\/2*o**2 + 2\/3*o**4 - 1\/20*o**5 + 0 + 30*o. Give c(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 - 15*x**2 - 369*x**2 - 32*x**2 + 124*x**2.\nAnswer: -266*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2903670 by -5866.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230035?\nAnswer: 3, 5, 148669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399 is divided by 702?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1b?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**2 - 3*s**4 + (-3*s**2 + 4*s**2 + 0*s**2)*(-84*s**2 + 40*s**2 + 36*s**2).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 12711?\nAnswer: 12706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 1, s: 1, b: 1, y: 1}. Give prob of sequence syb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9201 - 3525. Does 43 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3173*(-204)\/22287 - (2 + -4)*4\/184.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*l - 1)*(2 + 0 + 1) + (4*l - l - 2*l)*(-4 - 2 + 3) as w + i*l and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 24*z**2 + 24*z - 15. Let m be f(23). Suppose 0 = 5*y - 4 - 21. Let r = m - y. Calculate the least common multiple of r and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 5*w - 3*w)*(-2 - 2 + 8)*(2 - 3 + 2)*(-3 + 2 + 2)*(-w**3 + 0*w + 0*w)*(132 + 273 - 2).\nAnswer: 1612*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 54*q**2 - 4*q + 1. Let x(k) = k. Let c(u) = 6*x(u) + y(u). Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*l**5 + 3*l**2 + 1032*l?\nAnswer: 2300*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-1 + (3 - (-32)\/(-17))) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*g + 58*g - 31*g + (-1 + 1 - 2)*(3*g - g - 3*g) - 4*g - 3*g + 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - q**2 + 4*q - 6. What is the tens digit of p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/3))\/(y\/(y*y**(-7)*y)))**(-4\/7)\/((y**(1\/2)\/y)**(-16\/7))**(-5\/14) assuming y is positive.\nAnswer: y**(452\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/18))\/(w\/(w\/w**7)*w) assuming w is positive.\nAnswer: w**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.651884+-0.4\nAnswer: 0.251884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -38\/7, -0.5, -5, 2, -76 in increasing order.\nAnswer: -76, -38\/7, -5, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -304*m - 298*m + 3*m**2 + 0 - 304*m - 38 + 903*m in the form q + w*m + l*m**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 2\/3, 0.07, -31?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**5 - 1\/210*i**7 - 5*i**2 + 0*i**3 + 1\/6*i**4 + 0*i**6 + 0*i + 0. Find the second derivative of w(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0213 + 323.7.\nAnswer: 323.7213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1019900027\/180030 - 12\/30005. Let x = v - 5687. Find the common denominator of x and -9\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*a + 0*a = -40, 4*n - 36 = -3*a. Let i(t) = 2 - 5 + 4*t + n. Determine i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2. Let g(v) = 2. Let k(b) = 5*b - 8. Let u(w) = 4*g(w) + k(w). Calculate r(u(y)).\nAnswer: 125*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041, -9825, -33633, -79977, -156369, -270321?\nAnswer: -429345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9932376 - 1393770 = -6*l - 3*d, -7115496 = 5*l - 2*d. What is l rounded to the nearest ten thousand?\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 6*s**2 + 8*s + 1. Let q(t) = -5*t**3 - 19*t**2 + 27*t + 3. Let k(p) = 3*q(p) - 8*r(p). Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-24) - (-16)\/24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + b**2 + 5*b - 7. Let x(h) = -h**3 + h**2 + 3*h - 4. Calculate -3*a(d) + 5*x(d).\nAnswer: d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))\/i)**42\/(i**2)**48 assuming i is positive.\nAnswer: i**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/((-768)\/(-60)) + ((-1449)\/(-27) - 4\/6)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 7. Let a be s(-4). Let q be (a\/(-6))\/((-1)\/26). Let j = -1 - q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9971053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m + 26*m = -94 - 1759 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1571 - 729. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 22. Let p be s(9). What is the third biggest value in 38, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4144\/19 bigger than 217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 144 = -54. Suppose 0 = -3*c + 4*h + 11 + 4, -3*c - 4*h = 9. Let u be c\/(((-6)\/(-22))\/3). Calculate the greatest common factor of t and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1638767 - -5?\nAnswer: -1638762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13674392.58502766 - 0.4.\nAnswer: 13674392.18502766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-4))\/((-3)\/60). Suppose 0 = -5*x - j, 4*q - 2*x = -4*x + 4. Solve 4*y - 4 = 4*r, -q*y + 0*r + 17 = 4*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/7 - (-11)\/7. Solve 3*u + k - 20 = -v*u, 0 = 5*k - 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 93. Let s(h) = 28*h**2. Let q(d) = -7*d**2. Calculate m*s(a) + 26*q(a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.02526\nAnswer: 0.01263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54228 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 242, 240, 238, 236, 234?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 8. Suppose 0*o = 2*d + 5*o - 23, 6 = 3*d - 2*o. Suppose d*v + f = 67, -5*f - 1 = -2*v + v. What is the remainder when v is divided by w(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, u: 1, g: 4, e: 1}. Give prob of picking 1 u, 2 b, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 + 11*z**4 - 443*z + 213*z + 4*z**2 + 186*z - 3*z**4 as h*z + l*z**3 + j*z**4 + p + a*z**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/5, 749, -0.8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77781343*m**6 + 2*m**5*s - 2*m**2*s - 4*m*s + m - 574490*s - 7 wrt m?\nAnswer: -9333761160*m**3 + 120*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -50*x**4 - 10*x**2 - 10*x - 34. Let r(s) = 58*s + 67*s + s**2 - 124*s. Let j(u) = 10*r(u) + y(u). Find the first derivative of j(g) wrt g.\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(0 + -1))\/(-1). Solve -3*c - 2*c = d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41273066 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c - 75*c = -12. Suppose 3*g = 2*i + 2*g - 9, 0 = -c*i - 2*g - 2. Solve 0 = -5*x + i*r, -3*r = -0*x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p - 13. Let x be k(5). What is the greatest common divisor of 51 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14255 is divided by 1781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*t = -2*k - 272*t - 30, 2*t + 50 = 4*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1184, -0.4, -4, 3?\nAnswer: -1184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let l(u) = 3*u - 1404. Calculate l(c(j)).\nAnswer: 3*j - 1404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*x + 116*x + 42. Let a be -8 + ((-35)\/(-15) - 4\/x). Let o = -24.88 - -25. What is the biggest value in a, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -18.7 and -808017.\nAnswer: -808035.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 4*a**2 + 11*a - 8. Let v be f(-6). Let q be 2\/5 + (-13)\/(-5). Suppose q*b + 1 = -2. Put v, b, -4 in decreasing order.\nAnswer: b, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86632473 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/(-120) + (-4)\/(-10). Let c = 0.04 + -0.04. What is the nearest to c in 5, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3086, -3119, -3190, -3311, -3494?\n\"Answer: -2*i**3 - 7*i**2 + 2*i - 3079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*((-2)\/2 + 28*(-70)\/(-112)). Let s = -1.1 + 1. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.628 - 4.828. Which is the third biggest value? (a) 9.6 (b) k (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109121, -436418, -981915, -1745612, -2727509, -3927606, -5345903?\n\"Answer: -109100*o**2 + 3*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877734*v - 1616 = 877633*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1776*r + 2190*r = -404532 for r.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0.1 (b) -1 (c) -5 (d) 233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:53 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**2 + 67*b**2 + 70*b**2.\nAnswer: 165*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 1\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 5}. Give prob of sequence mssm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 3. Let b(i) = -2. Suppose -5 - 1 = -2*d. Let v(m) = m**2 - 6*m + 2. Suppose 4*c = 5*c - 6. Let n be v(c). What is d*b(q) + n*s(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Let b(v) = -12*v + v**3 - 10*v**2 + 16 + 4*v**g - 4*v**3. What is the units digit of b(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15501060 to the nearest integer?\nAnswer: 3937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(2980\/(-28)))\/((-11)\/(-22)). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57*m**3 + 54*m**2 - 122*m**2 + 56*m**2)*(-2 + 2 + 2)*(0 - 3 + 2) to k + o*m**3 + a*m + x*m**2 and give o.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013714094 to 6 dps.\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*1450\/100\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**3 + 0*a**2)*(-4 + 0 - 2) + 2483*a - 2483*a - 13*a**2 + a**3.\nAnswer: 7*a**3 - 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 7*z + 11*z - 9*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-60)*(129 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 3*p**2 - 3*p**2)*(-107 + 212 - 42*p - 107).\nAnswer: 84*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 2*d**3 - 5*d**3 + (-d + d - 2*d)*(-9*d - 11 + 11)*(-51*d + 43*d - 185*d + (-d - 3*d + 6*d)*(2 + 0 - 1)).\nAnswer: -3439*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2. Let v(o) = -o**2. Let g(w) = -2*c(w) + 9*v(w). Let d(r) = -4*r**2. Give g(d(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**2 + 895. Let x(n) = 26*n**2 - 13*n. Calculate x(t(g)).\nAnswer: 416*g**2 - 52*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-57)*1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10125 (base 6) to base 12\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 734396.294851 - 734396. Let a = -0.05195 - 0.24305. Let g = b + a. Round g to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1092962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*1*(-18)\/(-27). Suppose -d*l - 16 = 0, 0*y - 8 = -2*y + 3*l. Let a be y\/(-12)*(-3 - -23). Is a greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 6. Let l = -6 - k. Find the first derivative of 3*t + 3 + l*t**2 - 12*t + 9*t wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*i**2 - i + 441*i**2 + i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501 equal to 570456\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*r**4 - 47*r**4 + 6*r - 62*r**4 + 7*r**3)*(4*r - 6*r - r).\nAnswer: -18*r**5 - 21*r**4 - 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 + g + 1. Let u be (-264)\/330*(-2 - (-2)\/(-4)). Give r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*p**2 - 244866*p + 1148566?\nAnswer: -12*p - 244866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 + -203. Let n(p) = p**2 + 7*p + 3. Let x be n(-7). Which is the third smallest value? (a) u (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 * 158.7866\nAnswer: -0.6351464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + m - m**2)*(-16 + 2 - 1)*(1 - 1 + 2)*(0*m + 2*m + 3*m) as i + x*m**2 + f*m**3 + s*m and give f.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 257400 and 10350?\nAnswer: 5920200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 + 5.5. Which is the closest to i? (a) -1\/5 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 2*j - 1. Let v(x) be the first derivative of 3*x**3 - 7*x**2\/2 - 3*x + 75. Let l(u) = -26*d(u) + 6*v(u). Determine n so that l(n) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498875851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/10*5\/(-2). What is the units digit of (-952)\/(-9) + d\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 6:04 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + 18904 - 5*q - 18905. What is i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v + 24. Let d = v + -5. Solve -d = 2*b - 2, -5*i = 4*b + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333233 (base 6) to base 2.\nAnswer: -110110100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76923460.7 rounded to the nearest one million?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009372 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -141996.\nAnswer: 141996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -200 and -26093\/131 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24364, 1, -2, -3, -5 in descending order.\nAnswer: 1, -2, -3, -5, -24364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 0.2. Let i = -85.4 - -85. Which is the smallest value? (a) i (b) j (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from girrrrrurjl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 35*d**3 + 2643*d**2 - 1287*d + 413. Determine o(-76).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0582386186 rounded to 5 decimal places?\nAnswer: 0.05824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -477 + 507. Let o(k) = -5*k**3 + 2*k**2 + k. Let n be o(-1). Solve n*a + s = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174464405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-17*(-1)\/17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235412 <= 235416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62683 - 23855. What are the prime factors of b?\nAnswer: 2, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -15*f**2 - 2*f - 1. What is m(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455750723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 17. Let k = 22 - 19. Suppose 0 = -k*o - o + 68. Let n be u(o). Which is smaller: -2\/3 or n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5264, -0.1?\nAnswer: 5264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b)**48\/(b*b\/(b\/((b**(-1\/3)*b)\/b)))**(1\/43)*(b**(1\/4)\/b*b)**(-31)*((b**(-5)*b*b*b)\/b)\/b**(2\/9) assuming b is positive.\nAnswer: b**(252457\/10836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*x - 12, 0 = 5*z - 0*z - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 19. Let m be (1\/12)\/((-2)\/f). Let l = 1\/8 - m. Calculate the common denominator of 41\/22 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-f + f + f)*(f - 9*f - 3*f**3 + 5*f**3).\nAnswer: -4*f**4 + 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxkj when four letters picked without replacement from xxjjjxxjkjxkj.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4804*h - 2*h**2 + 2492*h + 2407*h as l + g*h + a*h**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((12\/(-12302))\/3) - 1. Let r = 2850 - p. Round r to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.89 - 1.09. Let f = 1\/2 - 1\/10. What is the second smallest value in f, y, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 9 - 16 - (1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, 10, 32?\n\"Answer: 22*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 + -153. Let n(f) = f**2 - 29*f. Let w be n(y). Solve x + 4 - 1 = w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:48 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*n = -14, 3*t = 7*n - 4*n + 30. Solve u - 5*u - t = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00565 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1386 divide 474144251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - v + 171 = 0, 8*k + 55*k + 85 = 68*k - v for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 408 = -25*o. Suppose 3*d - o*p - 7 = -10*p, 2*d + 4*p = 10. Is -52 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a*h*k**2 - a*h*k + 2*h*k**3 + 12*h*k**2 - 87*h + 16*k**3 + 2*k + 5 wrt k?\nAnswer: -6*a*h + 12*h*k + 24*h + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/2)*j*j**(-3)*j**(2\/9)\/j**(-2\/9) assuming j is positive.\nAnswer: j**(-37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13567 plus -4254?\nAnswer: 9313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*x + 4 = -4*x, 2*x + 7 = -2*x + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104 or 25750\/11?\nAnswer: 25750\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-2332*z + 1282*z + 1247*z) - 2*z - 2*z + 3*z - z - 4 + 4 - 3 - 2*z + 3 + (-1 + 3 - 1)*(-4*z + 2*z + 3*z) to the form t*z + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 5. Let p be f(5). Suppose 0 = 2*n - p + 3. Suppose n = 4*c - 13. Calculate the least common multiple of 16 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -24. Let f be 8*u\/(-8) - -9. Solve 0 = -3*z + f + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5, -1, 7 in decreasing order.\nAnswer: 7, 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3327918071 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 18*f + 11 - 11 - 18.\nAnswer: 18*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892619 less than or equal to 1892615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11432 is divided by 110.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 8 + 151)*(-2 + 6 - 3)*(2*i + i - i) + 3 - 3 - 5*i to the form t*i + q and give t.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.3216 + -3.321592. Let z = 0.059 + 5.941. Let b = z - l. What is b rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.17+16096\nAnswer: 16097.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 2\/13, 0.4, 1.\nAnswer: -4, 2\/13, 0.3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, t: 2, k: 10, d: 2}. What is prob of sequence tt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -5\/4 (c) -30 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -64112 divided by 482\nAnswer: -32056\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-33.765.\nAnswer: -10.1295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5070012 + -9?\nAnswer: -507001b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 293*a**9\/84 + 703*a**5\/60 - 133*a**2. What is the third derivative of g(u) wrt u?\nAnswer: 210960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 122, -1\/11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 171?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2952 and 89\/72078?\nAnswer: 864936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -18. Let b = 6 + o. Let i = -17 + b. Put -1, i, 0 in decreasing order.\nAnswer: 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(r - 3*r + 0*r + (-5 + 3 + 0)*(4*r - 3*r + r) + 4*r - 2*r - 5*r + (-6*r - 23*r - 4*r)*(-1 + 1 - 1)) as d*r + i and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3445 - 3444.99. Let q = 36\/7 + -223\/42. Is q equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, -35, -80, -87, -44, 61?\n\"Answer: 2*h**3 + h**2 - 88*h + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -333*o**6\/20 + 182*o**4 - 4542*o**2. Find the second derivative of n(p) wrt p.\nAnswer: -11988*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/48 - j**3\/4 - 9*j**2\/8 + 7*j + 9. Let w(m) be the first derivative of p(m). Factor w(l).\nAnswer: -(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1010190 and 909171.\nAnswer: 9091710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 16, t: 2}. Give prob of sequence ff.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7334*f = -7329*f - 4*d + 21, 13*f + 63 = 2*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**3 - 7*r + 3. Let w(j) = -2*j + 6*j**3 + 0*j**2 + 0*j**2 - 4*j + 2. Let c(n) = 2*u(n) - 3*w(n). Factor c(g).\nAnswer: -4*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2697 + 2717. What is the smallest common multiple of n and 2508?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2)*(-3)\/9)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojoootoijiioioo. Give prob of sequence jj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(2000\/(-840))*-4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93117.\nAnswer: 3, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/72 and 77\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 7}. What is prob of sequence wl?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y + 4*y. Suppose y = -10*v + 667 + 273. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4987 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: -8808a (base 14) to base 4\nAnswer: -1100122322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5562.9 + -5562. Which is the third biggest value? (a) -0.1 (b) 0 (c) r (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299570 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 2:46 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(((l*l**(1\/18)*l*l)\/l*l)\/l))\/l)\/l)\/(l\/l**(-2\/15)))\/(l**24\/l**13) assuming l is positive.\nAnswer: l**(-1367\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(42)\/sqrt(96) + 1 + 1*sqrt(448)))**2.\nAnswer: -132*sqrt(7) + 7687\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-63)*0 + -136. Let a be (-5802)\/42 - 1\/(-7). Which is bigger: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 6*u**2 + 4. Let r be n(6). What is the common denominator of (-2)\/(-2)*202\/(-4) and (-175)\/(-84) + 1\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, -119 in decreasing order.\nAnswer: 3, 0.4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s + 8. Suppose s*v + 636 = 4*v. List the prime factors of v.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 117. Let c be 2\/14 + -13352*(-11)\/308. Calculate the highest common divisor of c and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -18*g**5 + 112*g**4 - 186*g**3 + 108*g**2 - 16*g = 0.\nAnswer: 0, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 + 6 = 0. Let q(z) = z**3 + 6*z**2 - 8*z - 16. What is the least common multiple of q(j) and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(100\/10)*1\/(-11)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 57*n + 315 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 124269, 124292, 124319, 124350, 124385, 124424?\n\"Answer: 2*q**2 + 17*q + 124250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96389771097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 88529.\nAnswer: 885290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o + 242. Let b(c) = -2*c + 4. What is b(k) - 3*v(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w**3 - w**2 - 3*w + 11. Calculate q(2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let m = -38 - -21. Let x = -18 - m. Which is the nearest to z? (a) x (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801, 804, 819, 852, 909, 996, 1119?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 - 160*n**4 - 332*n**3 - 168*n**2.\nAnswer: 4*n**2*(n - 42)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*u**3 + 15 - 6 - 27*u**3 as s*u + f + x*u**3 + b*u**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -4. Let z be 5\/x*2*-15. Suppose -z = -2*l - 1. What is the greatest common factor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**2 - 5*p. Let l(j) = -8*j**2 - 6*j + 1. What is -6*i(t) + 5*l(t)?\nAnswer: 2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -12. Suppose -5*a + 2*a = -u. What is the tens digit of (2 - a)\/((-4)\/(-196))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 18 = 3*r, -r + 15 = -u + 3*u. Suppose -r*k = -709 - 380. What is the highest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -35*w**6\/3 + 3*w**4\/4 - w**3 + 4221*w**2\/2 + 6083. What is the second derivative of b(v) wrt v?\nAnswer: -1400*v**3 + 18*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22325 is divided by 10082.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/672 and -107\/252?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 58*o - 48. Let i be (-156)\/(-234) + 82\/3 + 0. Determine n(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + n**2 - 6*n - 8. Suppose -3*k + 83 + 202 = 0. What is the remainder when k is divided by q(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12905 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2\/2 + 4987857*w\/4 - 748179\/2 = 0.\nAnswer: -498786, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14130 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200321 (base 4) to base 12.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 3016?\nAnswer: 3016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -27. Let w be 100*(-676 + -4)*p. Round w to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797940 is divided by 20416?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25947 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:35 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(68)\/sqrt(4)*6))**2*6 + ((sqrt(102) + 2*sqrt(102)*2 - sqrt(102))\/sqrt(600))**2.\nAnswer: 648*sqrt(17) + 827618\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.84 - 0.16. Which is the nearest to 2\/5? (a) o (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 + 2 + -3 - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**3 + 17*i**3 + 2*i**3 + 15*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*p - 1 = 0, -p = -2*n - 4 - 9. Let g be n\/14 + (-2)\/(-21). Which is smaller: 5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22467963.\nAnswer: 3, 7, 31, 34513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 49*i = -24*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9*88)\/((-136)\/102)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/13 + 748*w**2\/13 - 7330*w\/13 + 1400.\nAnswer: -2*(w - 364)*(w - 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292727654?\nAnswer: 2, 61, 2399407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -177 and 81753026.\nAnswer: 81752849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58002932.\nAnswer: 2, 13, 127, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3838 and 2?\nAnswer: 3838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/46 equal to 454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-162)*-5*(-198)\/(-660)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2296000 to the nearest ten thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 384565 (base 9) to base 5\nAnswer: 24424030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.572255 kilograms?\nAnswer: 6572255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o*w**3 - 192814692*o*w**2 - 2*o*w + 65*w**3 + 9*w**2 - 9*w + 1058 with respect to o.\nAnswer: 2*w**3 - 192814692*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -838\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528849506.\nAnswer: 2, 264424753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 839813*j\/2 - 4618911.\nAnswer: -(j + 11)*(j + 839802)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20567.\nAnswer: 131, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*s\/(s\/s**4))\/s)))**(3\/7)\/((s**(-13)*s)\/(s*s**0)) assuming s is positive.\nAnswer: s**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151711 by 109.\nAnswer: -151711\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3479343 and -0.007?\nAnswer: 3479342.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1616 + 1615.36. Let y = 15 - 15.14. Let q = y - j. What is the second smallest value in 3\/2, -2\/45, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 - -3.2. Put 2\/21, 6\/5, m in decreasing order.\nAnswer: 6\/5, m, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i + 13. Let m = 7 + 0. Is w(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-5)\/(-3))\/((-140)\/(-60)) and 43\/93?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x + 2*c, 3*c - 6*c = 3. Let y(a) be the second derivative of a**4 - 12*a + 0*a**4 + x*a - 3*a. Let r(i) = 5*i**2. What is y(r(u))?\nAnswer: 300*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 + -3 - (8 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 12*a - 9. Let t be l(13). Suppose -i = 3*i + 3*o - 3248, 0 = -t*o + 16. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(-1\/4))*w\/w**(-3\/8))\/(w**(2\/15)\/w**(-5\/3)) assuming w is positive.\nAnswer: w**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/65 + 171\/(-5). Let f be 45 + 3\/((-3)\/(-1)). Let i = f + m. Solve -4*z + z + i = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5 + 40*v**4 + 384*v**3 + 128*v**2 - 2048*v = 0 for v.\nAnswer: -4, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4692 is divided by 516.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1539) + (sqrt(1539) + -1 + -4 - sqrt(1539)) - ((1 + sqrt(1539) - sqrt(1539)) + -1)) - -2*2*2*sqrt(1539)*1)**2*5.\nAnswer: -2430*sqrt(19) + 623340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*b**6*o + 11*b**5*o - b**2*o - b**2 - 2*b*o wrt b?\nAnswer: -5640*b**3*o + 660*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f. Let d(a) = -2*a. Let b(w) = -9*d(w) + 4*l(w). Let t(s) = -13*s**2. What is b(t(o))?\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {j: 4, r: 1, h: 5, g: 3, x: 1, a: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 5, n: 3}. Give prob of picking 1 n and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 59885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(0 + (sqrt(1300) + sqrt(1300) + (2 + sqrt(1300) + sqrt(1300))**2 + sqrt(1300) - sqrt(1300)) - sqrt(1300))*-6 + -1 + -5)*-5.\nAnswer: -3122370 - 54000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -671231*i**2 + 571857 wrt i?\nAnswer: -1342462*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -584*x**2 + 3. Let q(d) = 24*d - 2. Give q(w(s)).\nAnswer: -14016*s**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6, -81 = -2*c - 5*h + 110. Let n(u) = -109*u**3 + 20*u + 21. Let s be n(-1). What is the greatest common factor of s and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**(-7))\/b)\/((b*b**8*b)\/b*b*b) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/8 + -4 + 2734\/8. Let j = v - 335. Suppose 6*y + 3*y**3 - 1\/2*y**4 - 2 - j*y**2 = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02586042 to four dps.\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjljllljjjjjjljjlj. What is prob of picking 2 l?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.38672ml in litres?\nAnswer: 0.00338672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/(12\/176)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - ((sqrt(76) - 2*sqrt(76)) + sqrt(76)))*4)\/sqrt(4))**2 - ((1*sqrt(2299)*-2)**2 + sqrt(2299)).\nAnswer: -8892 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -697\/5. Let k = -7 + 9. What is the common denominator of (k\/36)\/(2\/152) and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/53 + 85\/371. Let z = -667 + 666.6. Which is the closest to 3? (a) z (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -4.5805.\nAnswer: 4.0805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/33 (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = -p. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -21. Solve 0*f - b*f = -8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -21, -10107 in ascending order.\nAnswer: -10107, -21, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-3 - (-4 + 2)). Let r(l) = -l**2 + 4*l - 2. Suppose g + 4*g = 45. Let o = 7 - g. Let t(c) = 1. Determine o*t(u) + p*r(u).\nAnswer: u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(5\/8))**31\/(c\/(c\/c**11)*c**6\/c) assuming c is positive.\nAnswer: c**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2614.7? (a) 55.4 (b) -2\/15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51798809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*f + 3, -p + 3*f = -44 + 39 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + b**2 - 2)*(7*b - 3*b - b) - 2*b**3 - 2*b + 2*b + 2*b**3 - 1 + 1 in the form r*b**3 + w*b**2 + u + o*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.39 * 11.68226.\nAnswer: 4.5560814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n**(1\/20)\/n)**13 assuming n is positive.\nAnswer: n**(273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqooo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530 and 390.\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*g = -4*g - 16, -2*p = g + 1. Suppose 3*r = 3*m + 9, -2*m + 5 = p*r + 3. Suppose r = -3*v + 4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 124*u - 869. Let r be p(7). Which is smaller: r or 9\/736?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 2. Let s(c) = -6*c + 11. Let u(n) = 11*b(n) + 2*s(n). Let m(p) = 21*p. Determine -m(f) - 18*u(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 84554*z**2 - 134*z - 134. Let j(b) = 1879*b**2 - 3*b - 3. Calculate 134*j(f) - 3*w(f).\nAnswer: -1876*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minus 291?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -11*o + 9*o + 2*k, -6*k = 2*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117 - -125) + 0 + (3 + -25 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 14*t + 81. Let l be h(-26). Let w = 1727 + l. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2\/7 (c) 0.3 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 4*p - 21*p + (4*p - 4*p + p)*(-6 + 0 - 11)*(4 - 2 + 0) to h + a*p and give a.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*b = b + 3, 0 = -5*j + 2*b + 18. Suppose -j*w = -8*w + 36. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 181593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 1:43 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a - 176555 + 178141 = 0 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1661323.40765 + -1661289. Let x = w - 34.4. Round x to 4 decimal places.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 36*d + 907. What are the prime factors of r(16)?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a - 44. Let f be t(10). Is -4 + (-44)\/(-12) - (-386)\/f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -92, -168, -244, -320?\n\"Answer: -76*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*k + k. Let s be 2\/1 + (-3 - k). Let d be ((-2)\/s)\/(1\/(-3)). Solve 2*r + d = 2*m - r, 4*r + 4 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17335 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 0 - (-14 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*d - 13*d - 45. Put d, -5, -3 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 2. Suppose 3*f - 30 = h*i, -2*f - 3*i + 2 = 1. Let g = 11 - f. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41080383, -82160764, -123241145?\nAnswer: -164321526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1 + 4 - 4). Let f be (-1 - 2 - g)*-4. Solve f = -5*n, -5*n + 2*n - 13 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + 19*a**2 + 111 - 240 to the form f*a**2 + b + n*a and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 - 211894*i**4 + 5612701238*i**3 - 16836832370*i**2 + 16836408592*i - 5612065568.\nAnswer: 2*(i - 52972)**2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((36\/16)\/(-9))\/((-1)\/2732). Factor 11 + 38*d**2 + d**5 + 8*d**4 - 655*d + x*d + 25*d**3 - 3.\nAnswer: (d + 1)**2*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/67 (b) 7\/8 (c) 0.3 (d) 4.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(15)*-1)\/sqrt(5) - (5 + 2*sqrt(3)))*-1 - (sqrt(108)\/sqrt(4) + 4)*6)**2 + 4.\nAnswer: 684*sqrt(3) + 1337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 74 - 24 - 60*p.\nAnswer: -60*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from zzbzbbzbzzzzzzbzzz?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2487451 (base 11) to base 2.\nAnswer: 10000011101010011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -242 (b) 0.11 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 5. Suppose 3*y - g = 17, 0*y - 14 = -y + 2*g. Let a(b) = 3 + 7 - y - b. Let m(n) = 5*a(n) - 6*j(n). Let p(t) = -2*t**2. What is p(m(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5675, -11264, -16853, -22442, -28031, -33620?\nAnswer: -39209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.11 + -0.31. Let y = 1.6 - s. Let t = 0.08 + 2.92. Which is the nearest to 1? (a) y (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 2:39 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 14*w = 4*u - 13804, 4*u = 4*w - 13772. What is the greatest common factor of w and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4927 is divided by 1193.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n. Suppose w = q - 4, 3*q + 2*w + 5 = 2*q. Suppose x + 1 - 3 = 0. Let u(r) = -2 + q + 1 - x*r. Determine z(u(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d\/(d*d**(-11))*d*d)\/d*d))\/d)\/d)\/(d**(-3\/8)\/d)*d*d*d**(5\/4)\/d*d*d**2 assuming d is positive.\nAnswer: d**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:01 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/63 of a week?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1695?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + (0 + sqrt(2736))*-1 - (sqrt(2736)*-1 + -1))*-2)**2.\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047831 minus 14?\nAnswer: -13.952169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257363.892 - 257842. Let b = m + 478. Round b to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - 5*l + 14 - 2 + 0 + 5 as n*l**3 + a + o*l**2 + f*l + x*l**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199 - 0.139?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b - y - 253, 2*b - 3*y + 91 = 0. Let x = b + 74. Suppose x = 6*n + 6. Solve -p = -n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -11*t**3\/6 - 5*t**2\/2 - 2*t. Let u be x(-6). Is (-1 - -1) + u\/1 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3134131 - 389248 = 0. Let z = k - -4746923. Suppose 2*h + 1457960 = -z. Round h to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j. Let h(k) = 5*k**2 + 4*k - 9. Let b(n) = 14*n**2 + 11*n - 26. Let g(l) = -4*b(l) + 11*h(l). What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/70924 and -151\/5532072?\nAnswer: 5532072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/1)\/(1\/(-7)*1). Let k be (-714)\/(-85)*p\/(-2). Suppose 8*b = 5*b + k. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + z - 2*z**2 - 1476*z**4 + 1828*z**4 in the form r + w*z**2 + x*z + l*z**4 + g*z**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, 12, 64, 172, 354, 628, 1012?\n\"Answer: 3*y**3 + y**2 - 10*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0809 - -0.4979. Let l = 0.017 - u. Which is the biggest value? (a) 2.7 (b) -3 (c) l (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 + 301. Let y(h) be the second derivative of 4*h + 1\/15*h**j + 0 - 9\/40*h**5 + 1\/4*h**4 - 1\/12*h**3 + 0*h**2. Solve y(t) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 2*j = -6, -2*z + 3*j = -9. Let x(u) be the first derivative of -1\/8*u**6 + 0*u**2 + z*u - 1\/8*u**4 + 0*u**3 - 1\/4*u**5 - 6. Factor x(w).\nAnswer: -w**3*(w + 1)*(3*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6 and 43\/12628?\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -5*sqrt(200)*1 + -3*(sqrt(200) + 2 + sqrt(200)))**2.\nAnswer: 1200*sqrt(2) + 20036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57.93 and 83.945.\nAnswer: 4862.93385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let t be h(2). Does 13 divide (-1859)\/(-77) + t\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22287257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -1 + 3)*-19. Let m = 6854 + -5980. Calculate the highest common divisor of m and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2348 by 125670.\nAnswer: 1174\/62835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 98 = -15*c. Sort -5, 20, 4, c.\nAnswer: -5, 4, c, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f*h**3 + 2*f*h**2 + 3*f*h + 32*h - 3 wrt h?\nAnswer: 72*f*h + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -v, -f + 4*f + 2*v = 6. Let j be (f - 2)*1\/2. Let i(x) = -x**3 + 79. Is i(j) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -1, 32.337?\nAnswer: 32.337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4294 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19449.407086 take away 2?\nAnswer: 19447.407086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(10517\/(-2104) + 5). Let v = -589 - k. Does 55 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-114457)\/(-11) - (7 - (-75)\/(-11)).\nAnswer: 5, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*b - 7 - 3, 3*b + 9 = 0. Let g be 2 - -1 - y - -1. Let k = 9 - g. Let m(j) = -6*j. Calculate m(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1946*u = 1369*u + 10386 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-20)*48\/(-9)*9. Let h(s) = -s**3 - 11*s**2 + 13*s + 17. Let z be h(b). Suppose -z*n**2 + 17*n**2 - 8*n**2 - 8*n**2 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -43. Calculate the remainder when 41 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*p - 13 - 6 - 16 = 5, 8 = 4*p for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 5496*a - 22020. Determine x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24705, 24774, 24843, 24912?\nAnswer: 24981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxkkkhkk. Give prob of sequence kxkh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290588426 divided by 6?\nAnswer: -215098071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 4*z + 2*z + 12*z**2 + 23.\nAnswer: 12*z**2 - z + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 25.118 (c) 0 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/5))\/s**(-2\/37)*((s**(-3\/19)*s)\/s)\/s**(-1\/16) assuming s is positive.\nAnswer: s**(42667\/56240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 60*o**2 - 56*o - 196. Let l(v) = -11*v**2 + 10*v + 35. Let s(k) = 5*a(k) + 28*l(k). Let h(u) = u**2 - 15. Give s(h(i)).\nAnswer: -8*i**4 + 240*i**2 - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 4}. Give prob of sequence mm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 157*z\/2 - 24649\/4.\nAnswer: -(z + 157)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 26*f - 70. Give r(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1384 - -2544. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -0.3. Let k = -53 - -52.7. Let o = a + k. What is the second biggest value in o, 0, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -1. Let i = s - 0.3. Let f = -2.9 - -0.9. What is the smallest value in 1, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 10*s**2 - 25*s + 30. Let y be t(9). Let q be (-2)\/12 - 247\/y. Solve 0*c + 10 = -q*c + 2*h, 3*h = -c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 15 = -5*m, 0 = m + 8*h - 9*h - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -4. Let n be ((-8)\/h)\/((-38)\/(-3)). Let o = 2 + -1.9. Put o, n, -0.2 in decreasing order.\nAnswer: n, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 0.007847.\nAnswer: 2.007847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 3*b**2 + b - 1. Let k be (-2 + (-24)\/(-9))*15. Let c = k - 8. Let n be 1\/(c\/2)*2. Give o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 4*p - 20. Let k be u(-9). Suppose 0 = 12*a - 7*a - k. Solve a*v - 31 + 6 = 0, 3*c + 20 = 4*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.67227 months to centuries.\nAnswer: 0.108060225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(2*w - 5*w + 2*w)*(-19*w**2 + 6*w**2 - 2*w**2).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 187680 divided by 480\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5) + (1 - (-93)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ca1cb (base 13) to base 16.\nAnswer: -2d3a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(-1 + sqrt(2448))*2 - (5 + ((0 + sqrt(2448))*1 - sqrt(2448)) + -2)**2.\nAnswer: -24*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, 83, 389, 819?\n\"Answer: 62*q**2 - 4*q - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + -1. Let m = -8 - p. Calculate the greatest common factor of m and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.93959 minutes to seconds.\nAnswer: 56.3754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p, -3*s - 4*p - p + 72 = 0. Let l be (s + -46)*(-1)\/(-12). Suppose a + 3 = 2*a. What is the smallest value in l, 0.4, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2. Let a(u) = -u**2 + 3 + 0*u**2 - 3*u - u**2. Let j(f) = -10*f**2 - 16*f + 16. Let q(h) = 16*a(h) - 3*j(h). Give z(q(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16321 and 31783?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5542 - 2379. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5. Let f = 4 + m. Let y be (0 - 1)*(2 + -5). Solve -r - y*r = -5*n - 19, -8 = -2*r + f*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736)*2*-4 + 2*sqrt(2736)*-5 + sqrt(2736) + (sqrt(2736) - (2*sqrt(2736) + sqrt(2736))) + -2)**2.\nAnswer: -240*sqrt(19) + 68404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**4 - a**4 + 0*a**4)*(-34 + 13 + 15)*(-4 + 0 + 6).\nAnswer: -60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.5 - 11. Let a = -0.3 + i. Is 0.1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19351914 to the power of 1\/2, to the nearest integer?\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/6158456 and 131\/60.\nAnswer: 92376840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 - -108. Solve -u + y*u = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t + t)*(-7 - 3 + 4) + 17 - 27*t - 17 + (1 - 4 + 1)*(-t + 2*t - 3*t) - t + t - t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.877 + -0.3?\nAnswer: -12.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 86? (a) 21 (b) -2 (c) -3\/2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74782171741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2231 - -33?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/((-99)\/(-10)))\/((-4)\/8). Is 3 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**14)**(1\/15))**38)**(-12\/11) assuming b is positive.\nAnswer: b**(-2432\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/190)\/((-6)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/21*(1 + -8). Let l(p) = 6*p**2 - 5*p**3 - 3*p**3 + 6*p**v. Let c(f) be the third derivative of f**6\/60 - f**5\/12 + f**2. What is 4*c(h) + 3*l(h)?\nAnswer: 2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 102 + 12*l + 118 - 4*l. Let q be b(-5). Solve 4*t = q + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, l: 2, e: 1, y: 3, m: 6, w: 4}. What is prob of picking 1 y, 2 m, and 1 e?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 26. Suppose 0 = -q*o - 3*o + 90. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16*g - 1. Determine f(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -63, 2 in descending order.\nAnswer: 2, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*v - 3706690, -2*u + 63*v - 65*v + 1482648 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118837444.91 + 119008553.91022. Let q = -171117 + z. Let i = 8 + q. What is i rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1927 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:29 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1162.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9844, 39994, 90230, 160540, 250912, 361334?\n\"Answer: -2*v**3 + 10055*v**2 - v - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8097518687 to the power of 1\/5, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*v - 3*t, 2*v - 4*t + 27 = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from qxxxxxdqqxxtqtxxqq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -28388655\/22 = -1290392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 29. Let o be 21\/z - (2 + 0). Let b = -0.7 + 0.3. What is the smallest value in b, 1\/8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (72 - (43 + -35))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**3 + 0*n**2 + 0 - 8*n + 0*n**5 - 1\/15*n**6 + 1\/3*n**4. What is the third derivative of b(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5\/5 - 4*q**4\/5 - 58*q**3\/5 - 12*q**2\/5 + 72*q + 432\/5 = 0.\nAnswer: -3, -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 9. Determine m(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 90. What is the remainder when l(0) is divided by (2 - 3)*(-26 + 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687905?\nAnswer: 5, 17, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55211, 110417, 165625, 220835, 276047?\nAnswer: 331261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**5 + c**2 + 2. Let b(i) = -4*i**5 - 176*i**4 + 1932*i**3 + 180*i**2 - 1936*i + 8. Let u(x) = b(x) - 4*k(x). Let u(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t**4 - t**4 + t**4)*(5 - 2 - 11)*(3 + 2 - 3).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -12*t**5\/5 - 5*t + 17. What is the derivative of u(r) wrt r?\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 190932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 4*m + 2*m)*(1 - 2*m**3 - 1) + 43*m**2 - 38*m**2 - 4*m**4 - 6*m**4 to the form v + x*m**3 + l*m**4 + i*m + y*m**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24297 - 19269. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - o)*(4 - 9 - 3) + (4 - 3 - 2)*(-15*o + 26*o + 3*o) - 3*o + o + 3*o.\nAnswer: -37*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from nfnurr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 57\/12 - (-9)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoqq when four letters picked without replacement from wqwwohhwwowwqqwwwwo.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3744 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 2\/31 (c) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -2\/525*f**7 - 11\/30*f**4 + 0*f + 50*f**2 + 11\/150*f**6 + 4\/3*f**3 - 3\/25*f**5 + 0. Let m(n) = 0. What is n?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 64. Let l = 20.00000133 - b. Round l to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 832\/5 - 167. Sort 7, b, -0.5, -5.\nAnswer: -5, b, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.549 and 0.3.\nAnswer: -4.0647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16160 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 3*b**2 + b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.1. Let t = 58 - 58.052. Let y = 0.048 - t. What is the smallest value in 4, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*h - 404 = -3743 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*n + 10 = 0, 10 = -5*a - 0*n + 3*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 588093817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2 + 151)\/(30\/100). Let b = z - 292. Suppose -r - r + b = 0. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.01 + -13. Let j = -0.0119 + z. Round j to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 4, 164\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118367017*d**5 - 208*d**2 + 38271.\nAnswer: -7102021020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10 - (-4)\/(3 - -1). Let f = -2.1 - -2. Which is the closest to 0? (a) q (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(68) + sqrt(68)) + -5*sqrt(68)*1)\/(-3*(sqrt(484) + sqrt(4))*6).\nAnswer: 11*sqrt(17)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*g**2*k - 6*g*k**3 - 463*k**3 wrt g.\nAnswer: -92*g*k - 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 1, -1358, 5, -4 in descending order.\nAnswer: 5, 4, 1, -4, -9, -1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from socig. What is prob of sequence gi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4\/3 - 11080*p**3\/3 - 7683968*p**2\/3 - 15323648*p\/3 = 0. Calculate p.\nAnswer: -1384, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -3 + 3*c + 13\/60*c**4 - 2\/5*c**3 + 2\/5*c**2 + 1\/150*c**6 - 3\/50*c**5. Suppose z(q) = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(55125\/2850))\/((8\/(-10))\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.5 (b) 1\/3 (c) 1\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 430 = 1730. What is the tens digit of (21\/(-15) + 3)\/(5\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 1, s: 1, m: 2, b: 11, e: 4}. What is prob of picking 1 e and 1 m?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 97 + 2*h**3 - 90 + 2*h**3. Let p(j) = 3*j**3 + 5. Give 7*p(s) - 5*v(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -827 - -827. What is the closest to p in 3, 3\/4, 1\/2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11987?\nAnswer: 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2289 - -2284. Sort 0.043, y, 1 in decreasing order.\nAnswer: 1, 0.043, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 15 = 6907670*m - 6907665*m, 15 = 2*q - 5*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-6\/7))\/(l\/l**(-2\/5)*l))**(4\/3) assuming l is positive.\nAnswer: l**(-76\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*q - 257*q - 124*q**2)*(7*q - 3*q - q).\nAnswer: -372*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457 and 282.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/21)*n)\/(n*n\/(n*n**(30\/11))*n)*((n*n**(-2\/47))\/n)**(-27))**27 assuming n is positive.\nAnswer: n**(299655\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255020, 254513, 254006?\nAnswer: 253499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + (sqrt(539) + (sqrt(539) - (sqrt(539) - (-5 + sqrt(539)))))*-5)**2 + -4*sqrt(1331)*4 + sqrt(1331).\nAnswer: -3315*sqrt(11) + 44284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -5*q**7\/112 + 33*q**6\/80 - 129*q**5\/160 + 15*q**4\/32 + 6*q + 55. Let c(y) = 0. What is y?\nAnswer: 0, 3\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/80 and 35\/328.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*z = -2 - 2, 7 = k - 5*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcwc when four letters picked without replacement from cccchocwcthutwc.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 4. Let d be f(-7). Let r(t) = t**3 - 2*t**2 - 4*t + 3. Calculate r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84843, -169684, -254527, -339372, -424219, -509068, -593919?\n\"Answer: -g**2 - 84838*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3425019 and -0.14.\nAnswer: 0.2025019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 321*u**2 - 277*u**2 - 328*u**2.\nAnswer: -926*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90156328 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/16)\/1*(-1280)\/800.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 15368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20403 (base 5) in base 8?\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/2)*j**6*j**8*j*j*j**(-2\/17)\/j*j assuming j is positive.\nAnswer: j**(591\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, 4229, -4.\nAnswer: -23, -4, 2, 4229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*k + 42071 = 3*x, 4*x + 3*k = 42065. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 95.9433\nAnswer: -11.513196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(0 + (-3)\/(-2)). Suppose 0 = z*b - 7*b + 5080. Round b to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33505977*c*t**2 - 2*t**2 + 8165*t - 65 wrt c.\nAnswer: -33505977*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6 - 77\/(-2). Suppose 4*n + o = 2*m, 5*m + 4*n = 186 - 16. Suppose 0 = g - 2*c - 610, -5*c + 5 = m. What is g rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaj when four letters picked without replacement from {b: 2, j: 1, t: 1, a: 5}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14520335 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -61.5. Sort -2\/51, m, 4, -2\/7 in decreasing order.\nAnswer: 4, m, -2\/51, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - i + 1 = z, -3*z + i + 11 = 0. Suppose -p + 19 = z*l - 13, -2*l = 6. Let h = p + -3. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (21 - (45 + -14))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 + 814 - 814.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82429.41305 - -82395.41304947. Let u = -34 - n. What is u rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 49 = -39, -5*g - 58 = -4*f. Suppose -232 = 5*s - 2. Put s, f, 0 in descending order.\nAnswer: f, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 152*q\/7 + 2888\/7.\nAnswer: 2*(q + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/1049673 - 30506996272\/9447057. Let h = -9694\/3 - k. What is the common denominator of 8\/15 and h?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 s, and 1 u when four letters picked without replacement from sasaunsauatattnsaa.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1)*d))**(-1)\/(((d*d**(-2\/15))\/d)\/(d\/(d**(1\/2)\/d*d)*d*d))*((d\/(d\/(d*d*d**(-1\/7)*d))*d*d)\/d**(-3))**(-1\/2) assuming d is positive.\nAnswer: d**(-241\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 10. Suppose -a - 6 = -4*a, 0 = -3*j + 2*a + 26. Let w be 21\/9 - 1\/3. Solve 0*o - 2*o = j, -b = -w*t + 3*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let z be (2\/24)\/(6\/(-27)). Is v greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 5:01 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 4. Suppose -i + g - 13 + 10 = 0, 0 = -4*i - 2*g - 30. Let j(f) = 5*f**2 - 5. Calculate i*j(n) - 7*u(n).\nAnswer: 5*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 2, m: 4, q: 4}. What is prob of picking 2 o and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - x = -1, 2*x = -25 + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t. Calculate the smallest common multiple of j(3) and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-40 + 17 - -16) + -3 + -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 85713 and 85929 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -162 + 106 - (-17 - 4)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o + 4. Let u(h) = 2*h**2 + 333. Calculate v(u(l)).\nAnswer: 26*l**2 + 4333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/9 - (-33)\/3. Let z = v - 11. Which is the nearest to -4? (a) 0 (b) -3\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 104, 25 in decreasing order.\nAnswer: 104, 25, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v**2 + 5*v**2 + 43*v**3 + 23*v**3 - 34*v**3 to the form d*v + m*v**3 + y + z*v**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 8*y - 308. Let b be -19*1*(21 + y). Differentiate b*z**3 + 18 - 4 - 9*z**3 - 16*z**3 wrt z.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -267 (b) 0 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243 - -12131?\nAnswer: 11555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/(-12) + 1\/3. Suppose 1 = i*g - 15. Solve 0 = 3*r + g*z + 15 + 20, 0 = 2*r + 3*z + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -3, 3, 0, -4 in descending order.\nAnswer: 3, 0, -0.02, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4090 + -1905. Suppose 427 = h + 3*c, 36*h = 41*h + 5*c - m. List the prime factors of h.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(i**2 + 1 - 1)*(7 + 0 - 3)*(2 - 1 + 4).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {c: 6, p: 1, q: 5, m: 1, u: 1, y: 3}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 139667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -22. Suppose -3*y + 3 = 0, 5*a + 3*y - 11 - g = 0. Solve a*t + 1 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(37\/5)\/(p\/p**23))\/((p**(-16)*p)\/p)**(-49) assuming p is positive.\nAnswer: p**(-3773\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3209 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 1, -4 in descending order.\nAnswer: 6, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0369959091 rounded to three dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/(-15) + 6)\/(2\/5). Let y(k) = -3*k + 2. Let q(v) = 5*v - 3. Let b(x) = 4*q(x) + 7*y(x). Let s be b(i). Put -2, 2\/11, s in ascending order.\nAnswer: s, -2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 8*k - 5. Give f(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100102122221 (base 3) to base 12\nAnswer: 8b52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckm when three letters picked without replacement from {k: 1, m: 4, f: 1, o: 2, c: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376910877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 406, 588, 750, 886, 990?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/1)\/(-5))\/((-3)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108223 is divided by 5244.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 - 13 = 5*s, 25 = 2*s + 5*d. Let w = 5 + -4.5. What is the nearest to -2\/5 in s, w, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 + (-10 - (-1 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-120)\/80?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63425, -128211, -192997, -257783, -322569?\n\"Answer: -64786*o + 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. What is the units digit of (-6)\/(-3)*23\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7426 (b) -1 (c) -1\/23 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 980 by -245.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxgffgmmmffxgglxlxl. Give prob of picking 2 l, 1 x, and 1 g.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74381279.\nAnswer: 7, 1459, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31778979269.361 and 0.5?\nAnswer: 31778979268.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 649, 1170, 1977, 3184, 4905, 7254?\nAnswer: 10345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -2\/3 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 296, 693, 1260, 2003, 2928?\n\"Answer: m**3 + 76*m**2 - 2*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3613402.\nAnswer: 2, 13, 138977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-545)\/7 - -2 - -2. Let g be ((-8)\/10)\/(2\/(-185)). Let m = l + g. Which is the nearest to -1\/3? (a) -0.3 (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 12}. Give prob of picking 1 y and 1 q.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b - 17. Determine f(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 387447023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.49 (b) 0 (c) 43\/19 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m = -128 - 180 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7.93. Let y = 4.93 + d. Let s = -9.9 + 8.9. Which is the third biggest value? (a) -0.1 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a85 (base 11) in base 15?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*m = -670*m + 39 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538116362 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/2 - 112*s**4 + 5887*s**3\/6 + 8122*s**2\/3 + 6502*s\/3 + 1664\/3 = 0. What is s?\nAnswer: -1, -2\/3, 13, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7756*g + 193897. Determine a(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3168\/360 - 4\/(-20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222249586*q**2 + 23194230*q + 3?\nAnswer: 444499172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1441114 divided by 2.\nAnswer: 720557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-6\/13)*k\/(k\/k**3))**(-37) assuming k is positive.\nAnswer: k**(-2627\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*u - 851*u - 4*u**3 + 423*u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 1\/6 (b) 73 (c) -14 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*t**2 + 2*t**2 + 4*t**2)*(-t + 6*t - 3*t) + (-1 - t**2 + 1)*(t - 2*t - t) in the form k*t**3 + z + x*t + w*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {i: 10, t: 6, c: 4}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {u: 1, y: 1, h: 2, c: 1, p: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 17*k**4 - 5*k**2 + 5*k - 69. Let a(y) = 16*y**4 - 4*y**2 + 4*y - 70. Let n(v) = -5*a(v) + 4*t(v). Find the first derivative of n(d) wrt d.\nAnswer: -48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from kfwiusw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3731*u - 350 + 48853 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-40))\/(3\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 + -3 + 2) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/60208 and 97\/12.\nAnswer: 180624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 76857?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.43 and 0.014?\nAnswer: 0.00602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 267\/7*s**2 + 54\/7*s**3 - 17\/7*s - 10\/7.\nAnswer: (s + 5)*(6*s + 1)*(9*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 + 4*f**3 + 2*f**2 + 1322 - 2*f**3 + 5*f.\nAnswer: 2*f**3 + 11*f**2 + 5*f + 1322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 2*m**2 + 0*m**6 + 6*m - 11\/35*m**7 + 0*m**4 + 0*m**3 + 0 + 29\/30*m**5. Find the third derivative of j(t) wrt t.\nAnswer: -1584*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyq when three letters picked without replacement from {f: 4, y: 2, r: 4, d: 1, t: 1, q: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241389 + y - 120529 - 120570.\nAnswer: y + 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*w - 33 = 0, 3*a - 3*w - 69 = -w. Suppose -2*f = 3*g - 325, 75 = -2*g - 5*f + 310. Calculate the highest common divisor of g and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 29614684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/7 = -680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2077\/9 - -231. What is the nearest to 0.1 in h, 1, 0.7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 8. Determine h(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1287*i - 28250. Determine h(-22).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5 + u - 27 + 13. What is the units digit of c(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-143 - 64\/8). Let o = s - -437. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -72*a**2 + 2*a. Let o(x) = 217*x. Calculate v(o(r)).\nAnswer: -3390408*r**2 + 434*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + u = -11, -12 = -g + 3*u - 4. Let i = g + -7. Let k be (1\/1)\/(-1)*3. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 22*z + 24*z - 2 = 0, 2*m + z + 8 = 0. Sort 4, 2, m, -56 in ascending order.\nAnswer: -56, m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 1, h: 3, j: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 0*q**4 - q**4)*(6 - 7 - 2) - 4*q**4 + 4*q**4 - 2*q**4 + (-4*q + 2*q**2 + 4*q)*(0*q - 2*q**2 + 0*q) - 6*q + 6*q - 4*q**4 + 7 - 5*q**4 - 7.\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 70a - 87?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*w + 29, 7*w + 23 = 5*w - 3*p. Let x be 1\/4*2\/(-3). Which is the second smallest value? (a) w (b) x (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20*(32 + (-5395)\/260)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - r + 1. Let b be -19 + (-21)\/(-4)*4. Let a(j) = j**2 - j. Determine b*n(w) - 6*a(w).\nAnswer: 4*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 10*z + 31. Determine l(13).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*d = 81*d + 5*c - 81, -5*c = -2*d + 79. What is the remainder when 6398 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - (6 + 6) - 0) + 21.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 57*t - 23*t - 57*t.\nAnswer: -2*t**2 - 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.28 * -34938.\nAnswer: 2420504.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(1*6\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252 + u**3 + 335 - 83.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 2.4. Let v = 0.331 - -1.469. Let t = z - v. Which is the closest to -2\/7? (a) t (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 3*k + 3. Let r be z(2). Solve -5 = r*v - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - -70. What is y rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1261*m**3 - 1268*m**2 + 6621*m**2 - 3639*m**3 + 4 - 4 wrt m.\nAnswer: -14268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -9)*(-2)\/(-22). Is s less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16585.3 and -0.04?\nAnswer: 663.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 597275 divided by 325.\nAnswer: 23891\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795 - 801 - (0 + (4 - 24)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0754 + -1.5246. Which is the third biggest value? (a) -2 (b) -0.3 (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {n: 3, d: 1, r: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/108)\/((-2)\/(-9)*(-6)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 - r**2 - 2*r - 1. Let a be g(-1). Differentiate 2 - 1 + n + 1 - a wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 23*i + 15. Let b(q) = 2*q**2 + 35*q + 22. Let o(m) = -5*b(m) + 8*p(m). Let j be o(5). Solve j*n = -f + 3*f + 24, 4*f + 2*n = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 5. Let c be o(-5). Let k(p) = -8 + 7*p**2 - 239*p - 251*p + 492*p. Let l(w) = 6*w**2 + 2*w - 7. Determine c*l(y) - 4*k(y).\nAnswer: 2*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 7, v: 5, u: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 300\/168 + (-2120)\/140 + 13\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1522 (b) 10\/9 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, -5, 4, 6, 0.058, 3 in decreasing order.\nAnswer: 6, 4, 3, 1, 0.058, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 + -169.1. Let h = -11 + j. Is -0.06 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.2, 2\/3, 0.9, -329, 1\/2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 3\/4, 3\/2, 14667, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5886 and 17322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(p + 2*p - p) - 4*p + 14*p + 10*p + (5 - 5 + 2*p)*(1 + 1 - 4) + (0 + 2 - 3)*(-9*p - 3*p + 0*p).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + m + 13, 4*q - 16 = 3*m - 5*m. Suppose f = 0, -f - 4 = -0*c + 2*c. Let p be ((5 - 5)\/c)\/1. Solve -l = 2*g - 5*l + 24, -q*g - l - 1 = p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449 divided by 40.\nAnswer: 449\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 1309*l**2 + 1312*l**2 - 82*l - 2615*l**2.\nAnswer: 6*l**2 - 82*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 598, 3.6, 2\/5, -1\/5, -3 in ascending order.\nAnswer: -3, -1\/5, 2\/5, 3.6, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/35)\/((-69144)\/11256).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/3 - 83\/15. Let o(i) = 5*i + 66. Let n = -97 - -84. Let m be o(n). Which is the fourth biggest value? (a) m (b) 4 (c) 0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-6))\/(x*x*x*x*(x*x\/x**(-1))\/x*x))\/(x**(1\/4)\/x)**(-39))**(-6\/23) assuming x is positive.\nAnswer: x**(351\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*15\/(-144)*4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -44 - (95 - 79)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181\/(36743\/464)*2\/16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/3 + 142478*d**4\/3 - 845951234*d**3 + 12684567050*d**2\/3 + 20303969488*d\/3 - 40594262048 = 0. Calculate d.\nAnswer: -3, 4, 35617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 26*j - 6*j - 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15085000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - z**4 + 0*z**4 - z**4)*(1 - 6 - 5)*(3 + 2 - 3)*(6*z - 4*z - 4*z).\nAnswer: -80*z**5 - 40*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*sqrt(17)*4*-4.\nAnswer: 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219 - 58 + 22*d**5 + 2*d - 358*d**5 - 53 wrt d?\nAnswer: -6720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132940*k**3 - 1136*k**2 - 2097*k - 108625 wrt k?\nAnswer: -797640*k - 2272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.03 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130003, -4, -3, -1, -178.\nAnswer: -178, -4, -3, -1, 130003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from qsmemeseessmqeseses?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32785827673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10424 and 8?\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*v - 1 + 121, 3*v = k + 26. Let u be k\/(-10)*(-18)\/9. Sort 1, u, -2 in decreasing order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.3 - -11. Let x = -1.7 + c. Sort x, -5, 3\/2 in increasing order.\nAnswer: -5, x, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(2)*-3) + sqrt(1100) + sqrt(1100)*-3)\/((sqrt(720) - sqrt(720)*2)\/(sqrt(10)\/(sqrt(8)\/sqrt(4)))).\nAnswer: 31*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2179 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 - 5*c - 10. Give w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/((-13875)\/50)*10\/(-16)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.24.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7 = -3*c - 24, 28 = 2*z - 4*c. Suppose -209 - 57 = 7*d. Let v = -33 - d. Solve 5*b - 2*b = z*h - 11, -3*b + v = 4*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 453931664 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, 2\/9, -11 in decreasing order.\nAnswer: 5, 2\/9, -1\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 96463519 to the power of 1\/2, to the nearest integer?\nAnswer: 9822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 40. Let u(z) = 16*z**3 - 2*z**3 - r*z**3 + 1 + 2*z**2 - 5*z**3 + 2*z. Calculate u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680095316 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.02 (c) 0.5 (d) 4 (e) -254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*j**4 - 403756*j**3 + 23545175*j**2 + 3 wrt j.\nAnswer: -216*j - 2422536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12837176 and 4084556?\nAnswer: 89860232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5381323 is divided by 538131?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i - 25 = 0. Suppose 35 = i*a - z, z - 7 = -a - 0. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/8 - 16*v**2. Let g(b) = -3*b. Determine g(t(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 2. Let d(w) = -4*w - 4. Let s(n) = 8*n + 8. Let b(c) = -13*d(c) - 6*s(c). Let y(z) = -2*b(z) - 5*p(z). What is y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 1. Let l be 22\/6 + (-8)\/12. Let m(i) = 8 - 7*i - 4 + 3*i. Let p(z) = l*m(z) - 15*r(z). Differentiate p(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0672618 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 2*j - 4. Let x be l(-3). Let t = x + 1. Let d(p) = p - 1. Let v(r) = r**2 - 4*r + 5. Let q(w) = 4*d(w) + v(w). Calculate q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54.3359 from -33347.\nAnswer: -33401.3359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(3 + -2))\/2. Suppose 0 = b - k - 29. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 826.194082 + 0.025918. Let j = 827 - l. What is j rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*i - 74755 = 0, 0 = -4*f - 3*i - 3128 + 102811. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 31357 - 11092. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 13*n + 5. Let w be g(-14). Let r(l) = -l**2 - 11*l - 7. What is r(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1. Let q(u) = 56*u + 9. Let k(y) = -4*f(y) - q(y). What is the hundreds digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4364.132ml to litres.\nAnswer: 4.364132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 52, 106, 160, 214, 268?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 10*s**2 + s + 16. Let l be n(-10). Suppose 36 = -4*v + l*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -31. Let k = 41 + h. Let i(o) = 2*o**2 - 2*o + 3. Let y be i(3). Calculate the greatest common divisor of k and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*a)*(-951 - 1463 - 1426).\nAnswer: -11520*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -153 + -68467?\nAnswer: -68620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -7*p**4\/24 - 25*p**3\/6 + 3*p**2. Calculate the remainder when f(-8) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m + 15, 5*n - 4*m = 55. Let y(a) be the first derivative of -a**2\/2 + 3*a + 1945. Determine y(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 2 + i - 3. Let r(u) = u + 2. Let o be r(0). Let c be z(o). Sort 1, c, 2 in descending order.\nAnswer: c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5851428363 to the power of 1\/3, to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 153, 235, 319?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from qwgurwxxgqxr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -24. Let n = 36 - b. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.1, 2, -4, 0, 87?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 233 and 240 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4\/3 - 10*a**3 - 196*a**2\/3 - 32*a + 320\/3 = 0.\nAnswer: -4, -2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002480100645 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9*s + 8*s**2 + s**4 - 4*s**4 - 2*s**3 + 5*s + 2*s**4 as o*s**2 + j + f*s + v*s**4 + d*s**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-15))\/2 - 1 - 4\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 0.022, 5, 8, -0.3, 0.4 in increasing order.\nAnswer: -0.3, 0.022, 0.4, 5, 8, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9.457 (b) -5 (c) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/15410 and 47\/16415.\nAnswer: 755090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnbbbbnbnnb. Give prob of picking 4 n.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-36)\/(-6)*-1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 3564?\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19793 + -19704. Calculate the highest common divisor of g and 15397.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + o + 5. Let u(s) = -2*s**2 + 2. Let g(r) = -r + 7. Let n be g(12). Calculate n*u(k) + 2*y(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1491516 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -894e (base 16) to base 3.\nAnswer: -1210012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/104 + 3\/12. Let p(w) = -5*w - 24. Let x(b) = 5*b + 23. Let c(d) = -2*p(d) - 3*x(d). Let r be c(-5). Sort -0.4, r, o in descending order.\nAnswer: r, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 + m**3 + 13*m**2\/2 + 4*m. Let f be u(-7). Solve 0 = j - 3*o - 8, -3*j - 4 + f = -5*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 18 + 42. Let r(s) be the second derivative of 0 + 1\/5*s**n + 0*s**2 + 1\/20*s**4 + 9*s. Find q such that r(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 3 - sqrt(80)) + -3*sqrt(40)\/sqrt(8))**2 + -1.\nAnswer: -18*sqrt(5) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -351342 (base 9) to base 14\nAnswer: -56c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from {k: 3, g: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.167 (b) -7 (c) -0.4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 843179 - 1686167 + 842988.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 952 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 64\/22)\/(-8). Let k = 4\/11 + a. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**5\/10 - 391*x**4\/4 - x**3\/2 + 510*x**2 + 2736*x. What is the second derivative of a(v) wrt v?\nAnswer: 12*v - 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15905*m**3 - 18530*m**3 + m**2 - m**2 - 8198*m**3.\nAnswer: -42633*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 7*n + 6. Let c(g) = -3*g**3 - 6*g - 5. Suppose 0*z - 5*z = -5, -4*z = 3*r - 49. Let u be 10\/r + 17\/(-3). Determine u*o(m) - 6*c(m).\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 1053*m**3 + 1896*m**2 - 412*m + 16 = 0.\nAnswer: -2, 2\/39, 4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**2 + 6565*t - 327860 = 0.\nAnswer: 52, 1261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h - 260 = -59*h. Suppose 4*w + 13 = -3*x + h, 3*w - x = 13. Solve 0 = w*m - 4*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184909261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 4*w + 4. Suppose 4*a = 3*j - 39, 4*a = 4*j - 24 - 16. Let g be (-2 - a\/6)*-10. Let z be p(g). Do -2\/3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -74*w + 5. Let t(h) = 148*h - 11. Let q(n) = -13*a(n) - 6*t(n). Is q(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949188.\nAnswer: 2, 3, 83, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/25))**26\/(a**(3\/11))**(-44))**(-4\/5) assuming a is positive.\nAnswer: a**(-992\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*t + 86*t - 4*o = -272, 0 = -5*t - 2*o - 1404. Let c = 71 + -202. Let h = c - t. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 17. Let v be o(-7). Calculate the highest common factor of v and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**25)\/(s**(-4)\/s) assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 75?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and -0.2?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*((-420)\/(-48) - 8))\/(3\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k. Let x be b(-1). Let p = 1.1 + -0.8. Let s = 14.5 + -14. Sort p, x, s in ascending order.\nAnswer: x, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l - 2. Let m = -44 + 103. Let v = -50 + m. What is the remainder when w(6) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -16*f**3 - 3*f**2 - 13*f + 3. Let y(c) = c**3 - c**2 + 1. Let z(l) = 2*p(l) - 6*y(l). Find the second derivative of z(v) wrt v.\nAnswer: -228*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 144, 705, 1632, 2919, 4560, 6549, 8880, 11547?\n\"Answer: -r**3 + 189*r**2 + r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8306 and 51\/248?\nAnswer: 1029944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 + 807*t**3 - 7101*t**2 + 21141*t - 21060 = 0. Calculate t.\nAnswer: 3, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 4829*o**2 + 170276*o + 175104.\nAnswer: -(o - 36)*(o + 1)*(o + 4864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 1676098.\nAnswer: 1676107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x = -5*l - 65, 0 = 3*l + 15. Suppose -q + x = -5*q. Let y = q - -14. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 3}. What is prob of picking 2 o and 2 t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -78*z + 7. Give t(4).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118258843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1245*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 5694798?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -82*v - 46*v + 132*v - 2. Calculate u(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 2 + 0*x + 4 + (-5 + 1 - 2)*(-21*x + 5*x + 5*x) + x - 2*x + 0*x + (-4 - 1 + 3)*(-3*x + x + 3*x) - 6*x - 5*x + 2*x.\nAnswer: 52*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 (base 6) in base 13?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288806.\nAnswer: 2, 3, 79, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 4 + 19 - 37 + 18580*a**3.\nAnswer: 18580*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 - 166 - 14*z**2 + 310.\nAnswer: -14*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 4. Let q be l(0). What is the remainder when 16 is divided by 3\/(-12) + (-37)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a + 2*r = 67, 3*a = 3*r + 57. Let p = 33 - a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1438, -1438, -1444, -1456, -1474?\n\"Answer: -3*s**2 + 9*s - 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*z = -2, 4*q = z + 5 - 3. Suppose 0 = -2*f + 79 - q. Are f and 39 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 27639895\nAnswer: 138199475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 - -153. Suppose -o - 2*s - 1 = 0, 6 = 4*o - 5*s - 3. Calculate the remainder when 1\/h + 338\/156 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + sqrt(32)*1)*6.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17250136, -34500279, -51750422?\n\"Answer: -17250143*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 228*a + 28274. Let y be r(-124). Find w, given that -1\/5*w**3 - 177\/5*w**y - 205379\/5 - 10443\/5*w = 0.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/m**(-2))\/m)\/((m**(1\/6)*m)\/m))**(-1\/23))**(-24))**19 assuming m is positive.\nAnswer: m**(836\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001864 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 - 6 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-27))\/(-1*(-12)\/(-18)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.102 - -3.182. Let z = a - 0.08. Let o(k) = -k**3 + 6*k**2 - 8*k - 5. Let d be o(4). Sort d, z, 5.\nAnswer: d, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/99 and -127\/444870.\nAnswer: 4893570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 2, d: 4, f: 4, x: 1, v: 2}. Give prob of picking 1 f and 1 e.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:54 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 - 490*z + 1373. Calculate m(119).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 19*r**2 - 7*r + 541. Give a(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18158 (base 9) to base 4.\nAnswer: -3003233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/11))\/c*c*c*c**1 assuming c is positive.\nAnswer: c**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81822.95 decades to millennia.\nAnswer: 818.2295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-3) - 4\/6. Let m be ((-6)\/(-2))\/(-1 + b). Suppose 4*a = 4*q - 4, -3*q + m*a + 2 = -q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 46 + 128 = 0. Suppose -3*m + y = z, -4*m + 0*m + 159 = 3*z. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 2, d: 1, u: 4}. Give prob of sequence unu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 950*j + 29*j**4 - 948*j + 22*j**4 + (-5*j**2 + 2*j**2 + 5*j**2)*(0*j + 0*j - j**2).\nAnswer: 49*j**4 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 74 = 2*w - z, -3*w + 2*z = -116. Suppose -2*q + 123 = 2*c + 39, c = 3*q + w. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1541\/2208 - 8\/256. Determine r, given that -2\/3*r**4 + 0*r + k*r**2 + r**3 - r**5 + 0 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3*b**2 + 4. Let x be y(3). Suppose -2921 - 2679 = x*r. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 + 0 + 19*q.\nAnswer: 19*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 3*s**2 - 3*s**2 + (415*s**2 - 851*s**2 + 419*s**2)*(-11*s**2 + 8*s**2 - 10*s**2).\nAnswer: 219*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooegoogooooogoo. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = -3*c - 24*f + 33, 5*c + 5*f - 25 = 0. Calculate the lowest common multiple of c and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 32*v = 1540. Let u = -256 - v. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:36 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15940225, 15940228, 15940231, 15940234, 15940237, 15940240?\n\"Answer: 3*l + 15940222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -6. Let h be (n\/(-10))\/((-6)\/15). Suppose 0 = 2*v + h*v - 95. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -59 + -22?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*y**4 - 9*y + 0*y**4 + 10*y - y**4 - 4*y**2 to the form c*y + o*y**3 + m*y**4 + p + r*y**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.04878um to meters.\nAnswer: 0.00004704878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*c - 1 = 2*z - 352*c, 12 = 4*z - 4*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 776127, 776124, 776121?\n\"Answer: -3*o + 776130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 248444 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-5))\/(12\/(-60)). Suppose -3*z - 20 = 4*q, 0 = 5*q - 0*q + 4*z + 26. Let s be -4 + 2*(q - -3). Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.8757 meters to nanometers.\nAnswer: 137875700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(52))*-6 - (sqrt(13) + (1 + sqrt(1300))**2 + 0).\nAnswer: -1277 - 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 27\/(10395\/(-2275))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, a: 1, x: 2, s: 4}. Give prob of picking 4 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/10)\/((-8)\/(-720)). What is the units digit of (-1998)\/(-15) - 1 - 36\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(2849\/814)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2463*n**2 + 1651*n**2 + 1 + 2459*n**2 - 1 in the form t*n + p + m*n**2 and give m.\nAnswer: 1647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689940.8ng to grams.\nAnswer: 0.0006899408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*((sqrt(99))**2 + -2) + ((-1 + sqrt(891))*-3)**2.\nAnswer: -162*sqrt(11) + 8510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 35981?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, g: 1, l: 1, z: 2, v: 2}. What is prob of picking 1 l, 1 g, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.229\nAnswer: -0.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjyp when four letters picked without replacement from {p: 3, m: 1, y: 3, j: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -4 + (18 - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22370*g**3 - 9*g + 3. Let o(k) = 4406887*k**3 - 1770*k + 590. Determine 590*j(a) - 3*o(a).\nAnswer: -22361*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 87*y + 516. Determine d(-7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11439.7586 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -13.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 12:05 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 126 = -19*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -93, 0, -4, 1\/7, 1571?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (8 - 12)) + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/112)\/(5\/2485))\/3*(-3)\/1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3556060?\nAnswer: 2, 5, 17, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1359 - 1355. Which is the smallest value? (a) 11 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -342, -677, -1010, -1341, -1670?\n\"Answer: j**2 - 338*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 3075*j.\nAnswer: 5*j*(j + 615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 249*s + 252. Calculate f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 37*c**2 - 29*c - 27. Let r be v(-13). Solve -3*k = 2*f + 19, -5*k = -k + r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 6*t**2 - t + 7. Suppose -3*l + 6 = -l, 0 = -4*w - 5*l + 39. Let p(h) = -h**3 + 3*h**2 - 1. What is the remainder when p(1) is divided by o(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2 + 2*y + 7*y**2 + 3*y - 1 - 6*y. Let m be w(1). Suppose 3*j = -j + 140. What is the greatest common factor of j and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 9*k**2 + 11*k + 10. Let v be h(-10). Suppose 40 = 5*a - v. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 671\/8 or 84?\nAnswer: 671\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/4 - 4*q**3 + 2*q**2 + q + 12. Is s(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -20, 2\/9, -0.0739?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m + 0*m**6 + 4*m**2 + 0*m**3 + 0*m**4 + 1\/42*m**7 + 0 - 7\/60*m**5. What is the third derivative of j(c) wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 382*w**2 + 18*w + 67. Suppose 19*o = -2*o - 105. Is t(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 80504?\nAnswer: -80508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 10950*v - 5995125.\nAnswer: -5*(v - 1095)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 30. Let k be w - (-9)\/(5 - 2). Let r be -3 - -23*k\/(-7). Which is the second biggest value? (a) 3\/7 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 6*t - 8. Let z be x(3). Let i be -1 + 1 + -1 + 5. Let u = 2 - 4. Sort z, u, i.\nAnswer: u, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220 - -22022212000002?\nAnswer: 22022211212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278.5 + 20924.\nAnswer: 21202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 7:44 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 1 + sqrt(19) + 2).\nAnswer: -2*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 308427578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 33*k + 90 = 0. Suppose 2*n - k*f = 18365, 0 = n + 5*f - f - 9177. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2. Suppose -2*n = 6, -2*d - n + 2 = -3*n. Let b(a) = -1. Let v(k) = 2*k - 2. Let p(r) = d*b(r) + v(r). Calculate p(m(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1938 - 1836. Calculate the highest common factor of d and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431750642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21070578?\nAnswer: 2, 3, 3511763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59569 rounded to the nearest 100?\nAnswer: 59600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129 and 15?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353.946777 - -0.326223. Let x = q + -354. What is x rounded to 2 dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -118, -216, -338, -472?\n\"Answer: 2*i**3 - 30*i**2 + 14*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 570692\/51 + -11190. What is the second biggest value in n, -0.1, -127?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13677*f**3 + 3387*f**3 + 27 - 27.\nAnswer: 17064*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-2\/5)\/d)*d*d)\/d*d**(-5)*d\/((d*d*d**(-1)*d)\/d)*d*d**(-3))**(-31) assuming d is positive.\nAnswer: d**(558\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11374 + -7879. Suppose 4*s = -5*j + q, -4 = s + 1. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d**4 - 5589*d**3 - 37*d**2 - 2171*d wrt d.\nAnswer: 192*d - 33534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 29. What is o(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrnffau. What is prob of picking 1 a and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -19.\nAnswer: -19, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*c**3*d**3 + c**3*d**2 - 2*c**3*j**2 + 20*c**2*d**2*j**2 - 4*d**3*j**2 wrt d.\nAnswer: 90*c**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)\/(d**(2\/3)*d))\/(d**4*d\/(d*d**(1\/3))) assuming d is positive.\nAnswer: d**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 6*v - 12. Let b be d(-8). Suppose -38 = -14*t + b. Calculate the smallest common multiple of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.1. What is the biggest value in -2, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4361.009kg?\nAnswer: 4361009000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22192782 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -1108*g + 1113*g. Let d = -11 + 14. Let v be 5 - (-2)\/(1 + -3). Solve d*j - 2*x = 1, g*j = 6*j + v*x - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = f + 5*u, 3*f = 4*u - 0*u + 67. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d + 2. Let f be j(-2). Calculate the least common multiple of 8 and 2\/(-3)*f\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2221.1? (a) 0.4 (b) 4 (c) 1 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7954980983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -601, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3280 is divided by 951.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 9*n**2 - 15*n - 1. Suppose 3*s + 1 = 2*b - 3*b, 3 = b + 5*s. Let h be u(b). Suppose 5*x - h = 1289. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z. Solve z = 2*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - c. Let y be 14\/3 + (-3)\/(-9). Suppose -3*u + y = 2*u. Give l(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4002.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27027484928 - 0.3\nAnswer: 27027484927.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/59330 less than -0.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(396) + -4 + 4)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 17. Let f be o(-5). Let m(w) be the second derivative of -f*w + 1\/2*w**2 + 1\/6*w**3 - 1\/20*w**5 + 0 - 1\/12*w**4. Factor m(k).\nAnswer: -(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 - -399\/2. Let q(f) be the first derivative of 0*f + 9\/4*f**4 + 2*f**3 + u*f**2 + 2. Solve q(s) = 0 for s.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -759 + 761. Solve -9 = -q*p + 7*p + 4*j, 5*j + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/16 and ((-10)\/(-35) - 6228\/(-840))\/678.\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 38, -31021 in descending order.\nAnswer: 38, -2\/9, -31021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.68445 minus -11281719?\nAnswer: 11281722.68445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**4 - 3*s + s**2 - 604*s**3 + 4 + 2*s**4 + 4*s**2 + 606*s**3 to the form l*s**3 + i*s + m*s**4 + h*s**2 + f and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*m + 15 = 5*v + 274*m, 0 = 5*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 9:54 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 25*q - 19. Determine t(-25).\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -4)*8526\/(-6). What is the greatest common divisor of 116 and a?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((1\/(-4))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 211, 555, 1105, 1861, 2823, 3991?\n\"Answer: 103*z**2 + 35*z + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = 24*j - 83088. What are the prime factors of j?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0.2 (c) -0.2 (d) -1\/2 (e) 28 (f) 8.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/40 - 149*a**4\/48 + 161*a**3\/3 - 330*a**2 + a + 3284. Factor x(l).\nAnswer: -(l - 4)**2*(2*l + 165)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19353 by -120.\nAnswer: -6451\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1174 by -341.\nAnswer: 1174\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + -25. Let v(o) = -o**3 - 10*o**2 - 8*o - 8. Let l be v(-8). Let s = l - a. Put 0, s, 5 in decreasing order.\nAnswer: 5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/996 and -43\/267336.\nAnswer: 22188888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r - 305 + 44 = -4*v, 2466*r + 5 = 3*v + 2467*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1020.3\nAnswer: -102.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11676680 - -5?\nAnswer: -11676675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-6\/13)*m*m*m**5*m*m**(-13)\/m**(-17) assuming m is positive.\nAnswer: m**(175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 169534*c + 169516*c - 2.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 49645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 8*g - 1. Let w(o) = 4*o**2 + 33*o - 3. Let u(j) = -9*n(j) + 2*w(j). Is u(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -72*j**2 - 21390*j - 23098. Determine x(-296).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 43*c - 3*c + 3*c - 2*c - 3*c + (3 + 1 - 3)*(3*c - 3*c - 2*c) - 3 + 3 - 2*c.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 676, 1014, 1352?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620*-518.\nAnswer: -321160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/184 - 228\/(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297529 is divided by 539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -16. Let k = -6 - d. Suppose -k*y - 119249 = 256751. What is y rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y - 86*y + 22 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34\/10 - 3)*-5 + 18. Let y be -4 - -2 - 7*-1. Solve 3*b + 34 = 5*c, -y*c - 2*b = -o - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07744 and -0.2.\nAnswer: -0.015488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 284*o - 2616. Determine q(-10).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 - m**4\/6 - m**3\/3 - 3*m**2\/2 + m. Let l be (-330)\/(-130) + 36\/78. Let w be r(l). Solve w = 4*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -8 - -1*4193\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5 + b**2 - 3*b**3 + 3*b**3 + b + b**3. Let i = 23 - 13. Suppose -13*q = -i*q. Determine w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 + a. Let n be q(-1). Suppose -48170*t + 20 = -48167*t - c, 4*c = 2*t - 40. Calculate the smallest common multiple of (44 + -1 + 1)*n and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65666424?\nAnswer: 2, 3, 797, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 2028621 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24 - -1.46. Let a = 2.7 - z. Which is greater: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4170, -8344, -12528, -16728, -20950, -25200, -29484?\n\"Answer: -l**3 + l**2 - 4170*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**3 - 15*i**2 - i - 22. Let f(x) = 7*x**3 - 10*x**2 - x - 15. Let d(s) = 7*f(s) - 5*t(s). Determine d(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41296 - 1?\nAnswer: 41295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 2*t**3 - 2*t**4 + (99*t - 19*t**2 - 99*t)*(-2*t**2 - t**2 + t**2) + t**3 - 2*t**4 - t**3.\nAnswer: 34*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (352\/(-32))\/((-17)\/(-85)*-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4551 or -4552?\nAnswer: -4552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2345 and 0.4?\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 1. Let i(g) be the second derivative of -33*g**5\/20 + g**4\/4 + g**2\/2 + 8871*g. What is i(a) + 3*p(a)?\nAnswer: -33*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -3.04. Sort z, 0.3, 0.01, -1\/4 in descending order.\nAnswer: 0.3, 0.01, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**3 - 16*y**2 + 16*y + 3. Let v(p) = 12*p**3 - 60*p**2 + 2 + 48*p + 6 + 12*p**2. Let u(m) = -8*a(m) + 3*v(m). Let u(s) = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.65985528 to 0 decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 18*v - 45. Let j be w(19). Suppose 8*x = 5*x + j. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Suppose -i = -5*w + 15, -j*i = 5*w - i - 30. Let h(u) = 7*u - 2. Calculate the least common multiple of h(w) and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 162 = -12*j. Calculate the remainder when 88 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(3\/(-42)). Suppose 4*w - 9 = c. Let n(z) = -z**3 + 6*z**2 - 4*z - 5. Is n(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -573708778 and 4?\nAnswer: 573708782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.198924 + 0.015476. What is o rounded to 3 dps?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 12*b = 3*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/9*-9*2\/4. Suppose 4*f = -n + 1 + m, -2*f - 3 = -n. Solve f = 6*j - j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - 1 - 11)\/(1 - 2). Let g(b) = -10*b**2 - 3*b - 1. Let x(f) = 2*f**2 + f. Let c(j) = a*x(j) + g(j). What is c(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117.27 and -2.\nAnswer: 234.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2913200339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bur when three letters picked without replacement from {k: 2, b: 1, u: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**3 - 31*u**2 - 35*u + 18. Determine o(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -a - 4*a, -3*w - 4*a + 53 = 0. What is the smallest common multiple of w and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260193, 520385, 780577, 1040769, 1300961, 1561153?\nAnswer: 1821345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670053 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffu. What is prob of picking 1 u and 1 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 0)*(-10*x**2 - 10*x**4 + 10*x**2).\nAnswer: -40*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*m - 8, 1415*a - 8 = -2*m + 1419*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -145*u**2 - 295 + 224 - 804 - 171 wrt u.\nAnswer: -290*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -6*(sqrt(180) + (sqrt(180) - sqrt(180)*1)) - sqrt(180)) + sqrt(180) + 1*(sqrt(180) + 2))**2*5.\nAnswer: 960*sqrt(5) + 57620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -26.9. Let z = m + -3. Let b = 0 + z. Which is smaller: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 3*c - c)*(-6*c**2 + 4*c**2 - 2*c**2) + (1 - 1 - 2*c)*(57*c**2 + 56*c**2 - 116*c**2) in the form b*c + z*c**2 + t + r*c**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/4 (b) -1.3 (c) 4.9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 a factor of 98422979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.80472 millilitres to litres.\nAnswer: 0.08680472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from aaeaeabagbba?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23630 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 223819\/265 - 3\/5. Do 845 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.128 - 0.108. Which is the closest to -1? (a) -0.2 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9 and (6\/(-16))\/((-45)\/348).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 124 = -4. Let o = p - 37. Let v = o + 8. Which is the third smallest value? (a) v (b) -2\/15 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182843681.\nAnswer: 23, 94906247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/298 + 623\/2682. What is the nearest to m in 1, 2, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165100 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.2 (b) -9695 (c) -339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, -28, -87, -170, -277, -408?\n\"Answer: -12*o**2 + o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/18, 21.949, -0.4, -2?\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-1)\/34*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -42*y + 3. Let s(g) = -1795*g**2 + 902*g**2 + 892*g**2. What is x(s(h))?\nAnswer: 42*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598509.\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 923\/5 + -185. Let q = -4.6 + 0.6. Which is the biggest value? (a) q (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 5*f**2 + 18*f + 32. Let h be s(-10). Suppose 0 = 42*d - 34*d - h. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8810 is divided by 1084.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -93 - (1 + (-536)\/68).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2*m = -4*k - 158, -15 = -3*m. Let w be ((216\/k)\/6)\/((-8)\/(-7)). What is i in w*i**3 - 15\/4*i - 9\/4 - 3\/4*i**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-446)\/(-4))\/(2\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {e: 5, z: 1, y: 2, c: 7, w: 3}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002794131629 to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4 - 0. Let k(y) = 2007*y + 4. Let g(x) = -3010*x - 6. Let f(u) = 5*g(u) + 7*k(u). Let s be f(c). What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 50. Let g(a) = -n*a + 46 - 18 - 18 - 12. Determine g(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -2 - (-279 - 3). Is t\/10 + 0 + 2 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/5 + 167948072*g\/5 + 3525819361064648\/5 = 0.\nAnswer: -41987018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1))\/((-14)\/(-224)*-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*a + 3*h + 56, -2*a = -5*h - 60. Suppose 0 = -0*g - g. Suppose b + g = 5. Solve -b*n - a = c, 3*c - 5*n - 14 = 11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0029806 + -5.0030046. Let x = -5 - v. What is x rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459547982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 2\/23 (b) 4 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*q + 96*q = 55620. Calculate the highest common factor of 103 and q.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267552 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 + 4*q**5 - 628*q**4 - 88478*q**2 + 7*q + 1 wrt q?\nAnswer: 120*q**3 + 240*q**2 - 15072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 878222 and 46984877?\nAnswer: 93969754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*m**3*s**4 - 16*m**3*s**2 + 5*m**2*s**3 - 21*m**2*s**2 + 5*s**4 + s**2 wrt s?\nAnswer: -480*m**3*s + 30*m**2 + 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1372358, -2744718, -4117078?\nAnswer: -5489438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1052152*s + 1052152*s - 394*s**3)*(2*s**2 + 4 + 2*s - 4 + 3*s**2 + 0*s**2 - s**2 - 2*s**2 + 0 + 0 + (-2 + 0 + 3)*(-5 + 5 - s**2)).\nAnswer: -394*s**5 - 788*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(2*sqrt(1573))**2)*-6*4.\nAnswer: -905976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-16)*(-128)\/(-96). Let 3 + x*n**3 + 7\/3*n**2 + 5*n = 0. Calculate n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(130) + sqrt(130)*-2 + sqrt(130))\/sqrt(10))**2 + -4*2*sqrt(26)\/sqrt(2) + 0.\nAnswer: -8*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -9. Let r = 7 + i. Solve -r*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10976111 and 0.0117896.\nAnswer: 10976111.0117896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -733845 (base 15) in base 9?\nAnswer: -11271402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 61*y**2 - 35*y - 99. What is h(-30)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (5 + sqrt(704)*-4 + sqrt(704) - (sqrt(704) - (3 + sqrt(704) + 0))))*-4)**2.\nAnswer: -172800*sqrt(11) + 2566800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3. Let d be v(1). What is the hundreds digit of -430*d\/(16\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 8*n - 329. Suppose 5*p - n = 233. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**2*x**3 - 431053*k**2*x**2 + 4*k**2*x - k*x**3 - 1317*k*x**2 - k*x - 2*k + 2*x**2 - 3 wrt k?\nAnswer: 6*x**3 - 862106*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/20256 (b) 5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 8505 = 0. Let g = c + -5153\/3. What is the common denominator of 59\/5 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/5 (b) -265 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 11. Suppose -1364 = -35*k + 2836. Let u = q - k. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*-9*1)\/(6\/((-36)\/12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*h - 188*h - 180*h - 186*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - y + 46, -6*y - 12*y = -2*t - 23*y - 13 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.406 and 2543929.\nAnswer: 2543929.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25386591 - 13238590. Let a = r + -12147999.9000019. Let q = a + -1.1. What is q rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -44.3. Which is the smallest value? (a) k (b) -1.9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3635, 14521, 32659, 58055, 90715, 130645, 177851?\nAnswer: 232339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2. Let b(r) = 52*r - 2. What is f(b(d))?\nAnswer: -8112*d**2 + 624*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1681500 and -79\/206500.\nAnswer: 11770500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 44*i - 32688320 = 7*i. What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16027 (base 12) to base 6\nAnswer: -400051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094258810?\nAnswer: 2, 5, 23, 4757647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 41052*i**2 - 1 + 38791*i**2.\nAnswer: -2261*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 650716771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7936 and 1085?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -b. Suppose 17 - 53 = -b*l. What is the second derivative of -l*r + 8*r - r**2 - r**3 + r**2 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 2*k**2 - k**2)*(-3*k + 6*k + k) + 3*k**3 + 5*k**3 - 5*k**3 + (5*k**3 - k**3 - 2*k**3)*(-1 + 1 + 1) to z*k**2 + c*k + b + o*k**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 - 5*s + 5. Determine g(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 + 1 = -4*r, 4*r - 4*h = 8. Let n(w) = -4*w - 208. Let t be n(-52). Solve p = -t - r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -54305?\nAnswer: -54310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 771025325 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - b = 3*b - 184484, b = -5*r + 307496. Round r to the nearest 1000.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.4 - -0.06931?\nAnswer: 41.46931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 6. Differentiate -7 + 4 + 40*g**2 + 20*g - l - 38*g**2 with respect to g.\nAnswer: 4*g + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 22332*z - 1. Let u(k) = 66996*k - 2. Let o(v) = -10*a(v) + 3*u(v). Let g be o(-3). What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 36, 0, 7, -3, 31 in ascending order.\nAnswer: -3, 0, 3, 7, 31, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -671 + 1001. List the prime factors of q.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-2\/19))\/n)\/(n*n*n*n**(-9)))\/(n**2*n**(1\/8)\/n))**(-4\/3) assuming n is positive.\nAnswer: n**(-725\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 405473.\nAnswer: -38\/405473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -250.1744.\nAnswer: 250.4744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.37 (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73692817 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2924172.\nAnswer: 2, 3, 43, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -129.\nAnswer: 13\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**16*k\/(k**(-10)\/k))\/((k\/((k\/(k*k*k**13*k))\/k))\/k*k\/(k*k**14*k)*k) assuming k is positive.\nAnswer: k**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 188785.\nAnswer: 1\/188785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, -144, -512, -1044, -1746?\n\"Answer: -l**3 - 73*l**2 + 16*l + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o**5 + 5120*o**4 + 182290*o**3 + 55080*o**2 - 182305*o - 60200 = 0. Calculate o.\nAnswer: -301, -40, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.21 and 0.01373789?\nAnswer: 0.19626211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**4\/24 + h**3\/3 - 2*h**2. Let r be y(3). Let z be 1 + 1 + r - -14. Solve z = -4*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444578610 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 356885*z - 129380 wrt z.\nAnswer: 356885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(1300) + 0)*6 + sqrt(1300))*2)**2.\nAnswer: -254800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 divided by 94?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45862656 divided by 2432?\nAnswer: 18858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 13091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 181706249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/5 (c) 2\/9 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30, -10, -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10043 and 3333.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 0 - (-30)\/(-48)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 0 + u**3 - 2 + 0*u - 1 - 3*u**2. Let o be a(4). Suppose -y + o = -0*y. 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 cube root of 29724 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 61. Suppose j*c - 2*c + 9*c = 0. Solve 2*d = -5*a + 9, -3*d + 2*a + 0*a - 15 = c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + 101760?\nAnswer: 102016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 244, 349, 438, 505, 544, 549, 514?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let t(p) = 42*p - 70. Let x(l) = l - 2. Let r(q) = 2*t(q) - 70*x(q). Calculate r(v(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t - 82*t + 34*t to w + u*t and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1, 1\/192, -22\/9, 2, 0.4?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:06 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 7 = x - 0, 5*x + 927*s - 433 = 859*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:48 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 13 = p, -2*p + 3*p = 3*m + 9. Let t(g) = -4*g**2 + 3*g - 3. Let d = 3 + -1. Let r(s) = -4*s + 1 + 5*s**2 + 5 - d. What is p*r(z) - 4*t(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*a)*(-57854 + 57854 - 702*a + (-1 + 1 + 2)*(1 - 2*a - 1)).\nAnswer: 3530*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11443 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71652*q + 1 - 35830*q - 35824*q.\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051899742.\nAnswer: 2, 1025949871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m + 2*m - 4*m + (m + 2 - 2)*(0 - 3 + 2).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**5 - 1818*g**4 + 3621*g**3 + 1818*g**2 - 3624*g = 0.\nAnswer: -1, 0, 1, 2, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - t - 7, 5*t + 9 = -3*r - 0*t. Find the second derivative of 2*p**2 - r*p**2 + p + 2*p**3 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) - (-4)\/(-10). Suppose d = -4*l + 3*h, 3*h - 8*h + 26 = 2*l. Suppose l*c = -q + 18, -5*q - 2*c + 63 - 12 = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8507.5665 + 8509. Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*w + 2340. Suppose z - w = 7*z. Let t be (-84)\/z - (-2)\/(-13). Solve 0 = -2*d + t*q - 14, -d - 16 = -4*q - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/(-161) + (-87649995)\/(-105) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*t + 19. Let l be (-1 - -2)\/(3\/9). Suppose 4*j - l*k = 49 - 18, -5*k = -15. What is the lowest common multiple of j and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**6\/g*g)\/(g\/g**5*g)*(g\/(g\/g**1))**(-36))\/((g**0*g*g)**(-1\/5)*(g\/((g\/g**(2\/5))\/g))**(-4\/7)) assuming g is positive.\nAnswer: g**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -25, -2, -130765, 0 in ascending order.\nAnswer: -130765, -25, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -973.5 + 3.\nAnswer: -970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 798245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.852994985 - 1.853. Round f to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:36 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**3 - 5\/24*z**4 + 15*z**2 + 0*z + 0. Let r(h) = -h. Determine i(r(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*i**2*n**2 - 1421041*i**2*n + 241240437*n**2 wrt i.\nAnswer: 30*i*n**2 - 2842082*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a - 4*v - 1, -2*v = 5*a - 1. Suppose -3*z - 5 = -4*k + a, 5*z + 5*k + 45 = 0. Let l be (1 + z\/2)*-2. Solve -10 = l*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109108267*n**3*v + 172122787*n**3 wrt v?\nAnswer: -109108267*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7 + 2*z - 4 + 15 - 4*z. Let h be x(7). Suppose -3*v + 3 = -3*q, 3*v = -0*v - 5*q + 35. Solve -2*w + 23 = h*r + r, -v*w - r = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-154) - 47\/(-165). Let q(v) be the first derivative of 0*v + l*v**5 + 11\/9*v**3 + 4\/3*v**4 + 2 + 1\/3*v**2. Let q(g) = 0. Calculate g.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2122*a**2 + 637*a - 697*a + 60*a in the form b + c*a**2 + d*a and give c.\nAnswer: 2122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6*i + 23 = 3*i, 0 = y - 5*i - 9. Suppose u + y*g = -u - 64, 3*u + 2*g = -92. Let r = 50 + u. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 852330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -405471, -1621897, -3649275, -6487605, -10136887, -14597121, -19868307?\n\"Answer: -405476*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffqffqfffqqfffqfff. What is prob of picking 3 q?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:50 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3857.4 + 3857. Which is the biggest value? (a) x (b) -2 (c) 0.4 (d) 0 (e) 55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**3 + 4*z**2 - 6. Let r be x(-3). Is (-5 - r\/33) + (-2842)\/(-22) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 - -2351\/9. Which is the second biggest value? (a) l (b) 31 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 770 + -366. Differentiate k*c**4 - 380*c**4 - 8 - 24 with respect to c.\nAnswer: 96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6.6. Let i = 7.641 - 0.641. Which is the nearest to 1? (a) 0.3 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 5*y - 322 = 0, 41676*y + 126 = l + 41674*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1225 and 74025?\nAnswer: 518175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5608200 divided by 74776.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.5, 1, 2\/11, 2\/1685, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15727.02945 rounded to one decimal place?\nAnswer: 15727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 30 = -5*u. Let p = u - 4. Suppose 25 = 3*q - 4*z, p*z = 5*q + z - 19. Solve -6 = 3*h + q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3966806.3 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/6230 and 3\/14240.\nAnswer: 99680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188437510788 + 12.\nAnswer: 188437510800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = -5*j. Suppose -4*p = -j*x + 8, 2*p + 2*p = 5*x - 14. Let i(y) = -y - 1. Let t(z) = 2*z**2 - 2*z - 2. Calculate x*i(c) - t(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 177359 divided by -438?\nAnswer: -177359\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7.3. Let q = -0.98 - -1. Let h = q + -2.02. What is the third biggest value in j, h, -1\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 10130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/2 - 153*i**4\/2 - 2571*i**3\/2 - 15087*i**2\/2 - 2457*i + 46644 = 0. Calculate i.\nAnswer: -23, -13, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.43 - 14.4. Let b = n - -1.970093. What is b rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4552120 by 2872.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547797965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, o: 3}. Give prob of picking 2 o and 1 k.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15137407.5 rounded to the nearest one thousand?\nAnswer: 15137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1080)\/(-16))\/(-9)*4\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -417 >= -416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 14*b**2 - 4*b + 7. Let x(d) = -d**3 + 6*d**2 + 2. Let p be x(6). Suppose 4*h + 4*r + 4 = -16, -p*h - 13 = -r. Is i(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 42. Factor 88 - 20*j + 4*j**3 - u - 43 + 16*j**2.\nAnswer: 4*j*(j - 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01865 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002197 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 23. Let g be s(-13). What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j\/((j*j**(-28))\/j))))\/j**(-7) assuming j is positive.\nAnswer: j**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 1. Let k be j(-3). Let x = -2.53 + 0.53. Sort k, x, 1\/2 in descending order.\nAnswer: 1\/2, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -50. Determine h so that -4 - h**3 - 16*h - v*h**2 + 48*h - 25*h = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90082643957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**8\/784 + 2*u**7\/735 + u**6\/420 - u**5\/105 + u**4\/168 + 9*u**2 - 1. What is p in x(p) = 0?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 704?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(96))\/sqrt(4) - 4*2*sqrt(24))\/(-1*sqrt(108)*2))**2.\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2111 - -2107. What is the closest to -3 in n, 0, -2\/43, -5\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*h - 23, 2*y - h - 3*h = -4. Let d(q) = -2*q - 6. Calculate the remainder when d(y) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 2*c**2 + 24*c + 2. Let n be g(-6). Solve -5*k = 4*m + 18, 102*k = 103*k + n*m + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4179 and 67\/537.\nAnswer: 748041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/20 - 30654\/(-65)) + -10. Calculate the highest common divisor of c and 11319.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77266605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p - 4. Let z(y) be the second derivative of y**4\/12 + 5*y**3\/6 + 2*y**2 - 2*y. Determine z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13084 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: In base 14, what is -c10 + -2c5?\nAnswer: -10d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 10365*o - 62201. What is l(6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9771.4115 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 - (-147)\/(-14))*(-42)\/(-351). Is l greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)*h**12 assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97987*g = 98036*g - 735 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 8)*(-141 - 259 - 69)*((0 + 3 - 1)*(4 - 4 + 4*f) + 3 + 0*f - f - 2) to the form z + q*f and give z.\nAnswer: 3283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-1 - -2) - 2. Let x(f) = -1 - b - 5*f - 2*f. Let y(h) be the third derivative of -h**4\/8 - h**3\/2 + 162*h**2. Determine 4*x(t) - 10*y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24062*a**3*q**4 - 81*a**3*q**2 + a**3 + 13902*a**2 + a with respect to q.\nAnswer: 96248*a**3*q**3 - 162*a**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4017 - 4646 + 7*q**2 - 6*q**2 + 8663.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 540163*n*p + 6380*n + 67 wrt p.\nAnswer: 540163*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 greater than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303536 is divided by 20206.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 14 = 30. Let q be (-330)\/(-3) - 8\/c. Let j = 4 + q. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and (56\/(-7))\/(6\/(-21)).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -2\/9, -1\/5, 5, 5\/6, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 + 12*m + 14. Let w(f) = f**2 - f + 4. What is -u(a) + 3*w(a)?\nAnswer: -2*a**2 - 15*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -16, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 57029, 1\/4, -2, -0.68 in decreasing order.\nAnswer: 57029, 0.5, 1\/4, -0.68, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1252*47.\nAnswer: -58844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(170\/(-72)) - 2. Let t = -415.8 - 10.2. Let p = -430 - t. Which is the nearest to -2? (a) p (b) q (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360939 and 1587.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/16 or 3\/64?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - -17 - (-2 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.5022ms to nanoseconds.\nAnswer: 597502200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26100 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 400 = -4*v, -386 = -3*l - 4*v + 264. Suppose -l*y = -208*y - 500. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684*q - 680*q - 2310 = 15650. List the prime factors of q.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 3368.87?\nAnswer: -3371.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 14391 (c) 267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 47448.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5.4, 1, -28, -109, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 x when four letters picked without replacement from {x: 5, d: 1, r: 1, w: 1, b: 3, m: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 1, -5, 2\/179?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - -1 - (-7)\/(-7) - 0. Let o(r) = r**2 - 8*r - 9. Let t be o(9). Solve 3*z = -4*u - 7, -1 + t = -b*u + 4*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 10*g - 8. Let t = -12 - -19. Let m be z(t). Solve 3*p - 15 = 0, -3*n - m = 2*p - 4*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 7 + 2)*(4 + 2*l - 4) + 9*l - 5 + 5)*(-4*l + 5*l - 5*l)*(2*l + 5 - 5) as h*l**3 + a*l + u*l**2 + g and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(76)*-4*-1)**2*-3.\nAnswer: -3723 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(95)*-6)\/(sqrt(35)\/sqrt(7)*3) - ((-6*(-1 + sqrt(931) + 4))**2 + -5).\nAnswer: -33835 - 1510*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19342321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553*j - 234 = -1557*j + 123*x, -4*j - 2*x - 16 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoszzo. What is prob of sequence szo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 629174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 6*t - 394. Calculate the smallest common multiple of t and 22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*d - 10 = 133*d. Differentiate 12 + 11973*v**2 - 11973*v**d + 34*v**4 with respect to v.\nAnswer: 136*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 26. Let y(n) = 3*n + 79. What is -17*i(g) - 6*y(g)?\nAnswer: -g - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 607, 895, 1167, 1417, 1639, 1827?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*(-3 - -3). Let c = 2 + l. Suppose m - c*m + 4 = 0. Solve -m*o = -0 - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 218\/(-60) - 0\/(-7) and (-2*1\/9)\/(11\/363)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21, -3 in descending order.\nAnswer: 21, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*l + 52*l - 185349 + 92674 + 92675.\nAnswer: -207*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -22*i + 23*i. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2 + 11*a - 4. Let t(b) = 4*b**2 + 5*b - 2. Let u(h) = 34*h + 45. Let w be u(3). Let k = 149 - w. What is k*d(z) - 5*t(z)?\nAnswer: -2*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2978, 11784, 26422, 46898, 73218, 105388, 143414?\nAnswer: 187302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(20\/168*6\/240*24)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 47 = 2*p, m - 3*m - 3*p + 15 = 0. Let w be (24\/m)\/(3\/6). Solve 0 + 14\/3*b**3 + w*b**2 - 8\/3*b - 10\/3*b**4 = 0 for b.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181339106?\nAnswer: 2, 13, 107, 65183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(153) + 4*sqrt(153)) + sqrt(153))\/(sqrt(9)*-1*5) + 2.\nAnswer: -16*sqrt(17)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43896487 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 54*d**2 + 78*d + 72. Calculate the remainder when s(-25) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*x + 5, x + 45 = -12*x + 68*z - 72*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62134.\nAnswer: 2, 47, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w = 5*s - 25*w - 27, 4*s + 18 = -5*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153) + 0 + (sqrt(153) + -1 - sqrt(153)) + -5.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + -68 + 68 + -8 + -26.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1\/1*5. Suppose -26 = -2*b - 2*b + m*q, -b = 3*q + 2. Suppose -5*t = -0*g + 3*g - 495, 5*t - 500 = -b*g. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-680)\/425*(-5)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 = 7*o - 3*o. Does 11 divide ((-9)\/(-12))\/(4\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, b: 2, u: 2, e: 1}. What is prob of picking 1 y and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 30 = 18*a - 3*a. Let s(v) = -v**2 - v + 10. Let y be s(0). What is the highest common divisor of y and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 200, 401, 604, 809, 1016, 1225?\n\"Answer: u**2 + 198*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 = 6*l - 388 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 535 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/9 and -109\/23952.\nAnswer: 71856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from hthtzhnh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-598) + (-2 - (-428)\/(-368)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, w: 4, d: 10, g: 3}. Give prob of sequence wwsg.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 476856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + 14 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 189688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216957?\nAnswer: 3, 13, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7182 and 153954.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-4 - -5) + -7 - (0 - -14)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-3)\/33)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140380 is divided by 1302.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 58*m**3 - 3*m**2 + 8*m - 6. Let b(s) = 19*s**3 - s**2 + 3*s - 2. What is -8*b(z) + 3*q(z)?\nAnswer: 22*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let y = i - 0.5. What is the smallest value in -2, y, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 42. Let r be h(13). Suppose 2060 = -5*s - 2*n, r*s - 4*n + 390 = 2*s. Is s\/(4 + -7 - -1) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**3\/6 + 5*w**2 + w. Let p be 22\/(-5) + -2 + (-14)\/(-10). Let o be i(p). Solve -4 - 1 = -o*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g**2 - 14*g**2 + 26*g**2 - 13*g**3 + 7*g**4 - 4 - g + 12*g**3 in the form a*g**4 + o*g + v + l*g**2 + p*g**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 6) + 1 - -31. Suppose s + 2*w - p = 0, w = -s - 0*w + 28. Suppose s*a - 28*a + 51 = 0. Solve -a = 5*r + 2*v, -2*r - 2*r - v = 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + h - 4 + 16, -4*v + 4*h = 0. Let t(b) = 10*b**2 - 9*b + 38. Let a(l) = 3*l**2 - 3*l + 13. Let u(z) = v*t(z) + 7*a(z). Does 39 divide u(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 12*q = 3*s - 136, -64 + 106 = s - 3*q for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**5 + 48*b**4 - 2400*b**3 - 7448*b**2 - 7524*b - 2520 = 0.\nAnswer: -30, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/4 - 2261*z\/4 - 3387\/2 = 0.\nAnswer: -2258, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 797149*v**5 + 3248*v**2?\nAnswer: 47828940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 1. Let h be -10 + 8 - 3\/(-1). What is the units digit of h*3 + o + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 393797927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -269, -340, -467, -650, -889?\n\"Answer: -28*x**2 + 13*x - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 - 67850678*m\/3 + 45233788 = 0 for m.\nAnswer: -33925341, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 795958031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 0\/3)*8\/(-12). Factor -36*r**4 - 24*r**3 - 4 - 15*r**5 - 4*r**2 - r**5 + l.\nAnswer: -4*r**2*(r + 1)**2*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -6\/13, -20\/23, -5 in increasing order.\nAnswer: -25, -5, -20\/23, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10*k - 12 = -7*k, 0 = 3*z + k - 20. Which is the smallest value? (a) z (b) -3\/4 (c) -4 (d) 1 (e) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w + 9. Determine b(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 1:00 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646167962 to the power of 1\/4, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006215 rounded to seven decimal places?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3831.4493 rounded to 0 decimal places?\nAnswer: -3831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x + 0*x + x. Let i(n) be the first derivative of -n**2 + 82. Give i(z(b)).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2659 + -2796.1. Let p = -137 - y. What is the nearest to p in -3\/2, -8, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 7. Let j be r(6). Let f = j - -15. Solve f*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 11, -4 in increasing order.\nAnswer: -4, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + r**2 - r - 3*r**2 + 4 - r. Let f(g) = g**5 + 3*g**2 + g - 3. Let n(h) = 4*f(h) + 3*u(h). Find the second derivative of n(q) wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2672, -0.322, -0.2, 0 in descending order.\nAnswer: 2672, 0, -0.2, -0.322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 123324 - 2\nAnswer: 123322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10271, -10173, -9999, -9755, -9447, -9081, -8663, -8199?\n\"Answer: -r**3 + 44*r**2 - 27*r - 10287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let t be (30\/(-28) + 0)\/((-68)\/238). Let d(q) be the second derivative of 0*q**2 + t*q**4 + 0*q**3 - 37*q + 0. Calculate m(d(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/104*(-8)\/(-12).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 31*o + 4. Let d(c) = 18*c + 3. Let k(h) = -3*d(h) + 2*v(h). Let f(w) = 16*w - 2. What is -4*f(g) + 7*k(g)?\nAnswer: -8*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 + 124\/44. Does 3 divide 9\/6*(-1 + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480650 + 480784.0138. Let c = n - 134. Round c to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j*t - 2*j*x**2 + 22*t**2*x**2 + 6*t**2 - x**2 wrt x?\nAnswer: -4*j*x + 44*t**2*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 20 - -7) + 4 + -6 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = 4*t + a - 1503, a = -5*t + 1433. Calculate the greatest common factor of 164 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163379879*a**2*n**2 + 2*a**2*n - a**2 - 548379*a*n - 3*a + 7*n wrt n.\nAnswer: -326759758*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 141 = -3*a - 2*g, -2*g - 87 = 3*a. Let f = a - -18. Let p(h) = -h**2 - 7*h + 20. Let i be p(f). Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -36, 52, 1626?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -1, -5993, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90689 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 2. Let r be i(2). Suppose 0 = -2*d + 6*d - r. Let t(v) = -1 + 2*v + d. Let s(p) = 2*p. Determine s(t(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t = 56*t + 15, a + 4 = -3*t. Solve a*m + 5*u + 30 = 0, -2*u - 10 - 5 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/3*g + 1\/3*g**3 + 1 + 1\/3*g**2 = 0. What is g?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961023 a multiple of 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8390906 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34482, -9, -1, -5, 0, -2, 5 in descending order.\nAnswer: 5, 0, -1, -2, -5, -9, -34482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.6, 0.2, -9, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -162*n**2. Let y be (-22*(-16)\/440)\/(2\/5). Let x(p) = -3*p**y + p**2 - 141*p + 141*p. Determine t(x(o)).\nAnswer: -648*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 2, x: 3, l: 6}. Give prob of sequence ls.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 209 + 817*b**3 + 803*b**3.\nAnswer: 1620*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 7*v - 5*v**2 + 3*v**2 + 0*v. Let o(y) = 5*y**2 - 6*y. Let j(u) = -6*m(u) - 7*o(u). Let q(z) = 2*z. Determine q(j(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(125)*1 + -2 + 3*sqrt(125) + sqrt(125))**2 - sqrt(180)*2*-6*-3.\nAnswer: -376*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -116*h**3 + 16. Let f be 2\/(-3)*15 + -1. Let p(a) = -23*a**3 + 3. Let w(o) = f*p(o) + 2*v(o). Find the first derivative of w(k) wrt k.\nAnswer: 63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - 3*p**2 + p**2)*(-1715892 + 1715892 + 19001*p) as v*p + d + t*p**3 + f*p**2 and give t.\nAnswer: -19001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5824\/240)\/(-7))\/(48\/20)?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 351.1304 + 3.9796. What is b rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/5 - 74*n\/5 - 3672\/5 = 0. Calculate n.\nAnswer: -34, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 373, -67720, 4 in descending order.\nAnswer: 373, 4, -67720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 135. Let q = g - 38. Suppose 5*t + 3*i - 15 = 3*t, -i - 11 = -2*t. What is the greatest common divisor of t and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7707 to 2 decimal places.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 3910?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19915, -19911, -19907?\nAnswer: -19903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 37?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**3 - f**2 + f - 1. Let u be t(1). Suppose -2*j + 11 = -3*z + 2*z, u = -3*z. Calculate the remainder when 62 is divided by 63\/j + (1 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 - 204. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/379 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4 + 7*p**3 + 0*p**4 + 3*p - 14*p**2 + 0*p**3 = 0.\nAnswer: -3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - d**3 + 1508954*d**2 + 43115*d + 20?\nAnswer: 40*d**3 - 6*d + 3017908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308905.\nAnswer: 5, 61781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 547667.6um?\nAnswer: 0.5476676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2 - -6)*(516 + 5151)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261 - -556. What are the prime factors of k?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71608315 a multiple of 2501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 17*v - 30 = 0. Let y = -1 + v. Let h be (4400\/1)\/(-4)*y. What is h rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 5*x - 5. Let z be (-24)\/2*(2 - 161\/69). Let b(j) = -2*j**2 + 6*j - 6. What is z*g(k) - 3*b(k)?\nAnswer: -2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(3456) - sqrt(3456))*1)\/(-4*-1*sqrt(12) + sqrt(132)\/(sqrt(55)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*h**3 - 210*h**2 - 75*h**2 - 50912 + 50912 wrt h?\nAnswer: 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-15))\/((60\/27)\/(-2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.3, 1, 5.3 in ascending order.\nAnswer: -0.01, 0.3, 1, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1576212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 - 19*q**3 - 21*q**3 - 4*q**3.\nAnswer: -37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i - 1. Let r(b) = 4*b + b - 4*b + 4*b. Calculate 4*c(g) - 7*r(g).\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/((-6)\/1602). Suppose 57 = 2*r - 3*f, -3*r + 4*f + i = 3*f. Let j(g) = g**3 - g**2 + g + 31. Let z be j(0). Is r > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 9 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 (base 12) in base 9?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -52. Let p = -32 + i. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10312*397.\nAnswer: -4093864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1055651148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65.256 - -677952974.\nAnswer: 677953039.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -804587, -804647, -804707, -804767, -804827?\nAnswer: -804887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/2 - 4335*g**2\/2 - 78373*g\/2 + 82707\/2 = 0.\nAnswer: -19, 1, 4353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43376 + 43376.48618. Let h = b - 0.484. Round h to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/60 - 5*q**4\/12 + 23*q**3\/3 + 163*q**2. What is the least common multiple of 82 and s(6)?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 30*q + 189 = 0. Suppose 9*g = 5*g - 4*p + 20, -5*g - 3*p + q = 0. Solve -b = 2*b + 6, g*u - 4*b - 23 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2877 divided by 7?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332045467 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1180.3 + 1180. Let m = 11 + -7. Which is the nearest to 1? (a) m (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1307392)\/(-66391) - (0 - -20)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 minus 0.011868?\nAnswer: -81.011868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**5\/20 + 8*j**2. Let g(a) be the third derivative of a**5\/60 + 22*a**2. Give n(g(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35147 divided by -23.\nAnswer: -35147\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -336*c + 25834. Calculate x(77).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - 1*sqrt(209)*-4))\/sqrt(11) - (sqrt(304) - (sqrt(304) + -1))*2.\nAnswer: -4*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 + 4*p**3\/3 - 13*p**2\/2 + 516*p. Give a(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 11*q**6\/30 - q**3 + 15*q. What is the second derivative of i(a) wrt a?\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1038*x - 2076*x - 6208 + 10627*x wrt x?\nAnswer: 9589","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**6\/135 - p**5\/30 + p**4\/54 + p**3\/9 - 3*p + 12. Factor c(u).\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let o(p) = 6909172*p. What is o(k(l))?\nAnswer: -13818344*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/4 + v**3 + 3*v**2\/2 + v - 1. Suppose l + 4*j - 8 = 0, -3*j - 227 + 210 = -5*l. Give y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + -6*-1*sqrt(11)*-5 - (sqrt(33) + sqrt(66)\/(sqrt(4)\/sqrt(2)))\/(2*sqrt(432) + sqrt(432)))**2*-1.\nAnswer: 4328*sqrt(11)\/9 + 3224675\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114.59 millennia to months.\nAnswer: 37375080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27035*i**2 + 27071*i**2 - 54099*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**4 - 21*v**2 + 5*v - 5. Let b(c) = -3*c**4 + 21*c**2 - 6*c + 6. Let n(y) = -5*b(y) - 6*u(y). What is the third derivative of n(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -6)\/(1\/45). Let z = i - 103. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 39372966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 2 f when four letters picked without replacement from {x: 5, w: 2, m: 6, j: 3, f: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijjj when four letters picked without replacement from jjkkhiijiijjj?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g - 7. Let r(v) be the first derivative of 1\/4*v**4 - v - v**2 - 3 - v**3. Let k be r(3). Let b(s) = -5*s + 4. Give k*b(f) - 4*w(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-125)\/5)\/(-5) - 1. Suppose -5 = -l + 5*t, -5*l + t - 3 + n = 0. Suppose -5*d + 5*h + 25 = l, -1 = d - 5*h + 6. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -414 + 620. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + -5 - (-2 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*(-96)\/(-240)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 764583073663\/4432454292 - 59\/82592316. Let h = 5\/1449 + j. Determine x, given that 399\/2*x**2 + h*x**4 - 561\/2*x**3 + 6 - 75\/2*x**5 - 60*x = 0.\nAnswer: 1\/5, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {f: 4, n: 1, y: 4, o: 5, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.150372ms?\nAnswer: 6150.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760843275 a multiple of 2955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 1. Let x(g) = -12*g**3 - 2*g**2 + 2*g + 4. Let z(n) = n**2 + 5*n - 1. Let y be z(-4). Let k(d) = y*m(d) + x(d). What is k(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201 and 9 - (3\/2)\/(36\/144).\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6 = o. Let h(l) = 4*l**2 + 6*l. Let f(c) = -3*c**2 - 5*c. Let q(y) = o*f(y) - 5*h(y). Let u(x) = -13*x**2. What is u(q(j))?\nAnswer: -52*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2))\/(h*((h**2*h)\/h)\/h*h)*((h**(-2)*h)\/h)**(-25))**(-2\/47) assuming h is positive.\nAnswer: h**(-95\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4 = 0, 3*h - 2219 = -411*z - 1463 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, 4, -29, -2 in decreasing order.\nAnswer: 4, 3, 1, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90 - 1)*(2 + -4 + 3). Suppose -7*w = -q - 58. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/6)\/(7\/(-2016)). Suppose -90 = -5*t + 2*n, 7*t - 9*t = 3*n - 17. What is the highest common divisor of t and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + 2\/((-42)\/(-69)). Suppose z*h - r = 2*h + 295, 0 = -2*h - 3*r + 615. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62427?\nAnswer: 3, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1842624229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 7*k + 0 + 0*k**2 - 1\/6*k**4 + 0*k**3. Let m(i) = -2*i**2. Determine m(f(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 688*y**2 + 7. Let o(u) = 268*u - 1. Give o(k(l)).\nAnswer: 184384*l**2 + 1875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 46, 0.1155, -2\/13?\nAnswer: 0.1155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -5*n - 53. Suppose 5*d - 4*c = -6, -c - 2 = -n. Solve p + d*g - 1 = 3*g, -4*g + 2 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582963938 to the power of 1\/3, to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44780292119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 + 3 - f**2 - 2 - 12*f + 10. Let y be t(-18). Let g = -53 - y. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1694618993 and 0.\nAnswer: 1694618993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 + 134. Suppose -f*p = u - 2162, 4*p - 5*u - 2128 - 723 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/41? (a) 136\/7 (b) -886 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/112 and -117\/70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7602946, -15205912, -22808878, -30411844, -38014810?\nAnswer: -45617776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6426505 rounded to three decimal places?\nAnswer: -3.643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2131*z + 3. Let a(o) = 8525*o - 13. Give 2*a(n) + 9*p(n).\nAnswer: -2129*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2168, 2163, 2170, 2207, 2292, 2443, 2678?\n\"Answer: 3*s**3 - 12*s**2 + 10*s + 2167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1617 and 107387322.\nAnswer: 1181260542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -57134960932439 plus -13?\nAnswer: -57134960932452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -19 + 9. Let x = -29 + -7. Let b = i - x. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9268a (base 14) to base 7.\nAnswer: 2665533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 396*g**2 + 2777*g + 50. Give k(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b**5\/13 - 29392*b**4\/13 + 12040804*b**3\/13 - 34529920*b**2\/13 - 3985350*b\/13 = 0. What is b?\nAnswer: -1\/9, 0, 3, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1929, -1930, -1939, -1956?\n\"Answer: -4*d**2 + 11*d - 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -60.08. Let j = 0.2 - 0.08. Let q = v + j. What is the third smallest value in 0.5, q, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -67079*d + 67078*d + 47, -542 = -38*c - 2*d for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.25 - 11. Let a = -0.8 + d. Let c = -0.5651 - a. What is c rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dskvlvy. Give prob of picking 1 y and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -3. Let u(v) = -v**2 + 33*v - 77. Let z be u(5). Calculate the highest common factor of z and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -264313 and -13\/56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9398*-2.\nAnswer: -18796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432633 and 578?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose -3*g + f + 12 = 0. Suppose -j + 4*d + 14 = 0, 0*j = g*j - 2*d - 56. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j**2 - 24*j**2 - 63*j**2 + (2*j - 2*j + 3*j**2)*(5 - 1 + 26) to the form x*j**2 + s + b*j and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/21 + (20\/56)\/(17 - (-873)\/(-54)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 3*i + 2. Let d be p(-4). Suppose -d*b + 11*b - 40 = 0. Solve -4 = -5*x + x + u, -b = 2*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4132016 - 0.1.\nAnswer: -2.5132016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.045 or 1\/117?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 412158\/59 or 6986?\nAnswer: 412158\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8033.968 - 8068. Let z = -0.032 - y. Let c = 34.00000029 - z. What is c rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048953 to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*m + 36, 3*n - 30 = -2*n + 5*m. Let w be 140\/16 + (-1)\/(-4). Calculate the highest common divisor of w and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 7.8134 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*f + y - 15812, 15812 = 2*f + 4*y. Suppose -x - 2762 - 1194 = -2*c, -4*c + f = x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.263.\nAnswer: -0.1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m. Let k(a) = 5*a**2 + 12*a + 31. Let u(i) = k(i) + 2*y(i). Let b(x) = -6*x**2 - 15*x - 30. Let c(z) = 4*b(z) + 3*u(z). Factor c(j).\nAnswer: -3*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = -r, -98*k + 97*k = -r - 8. Solve 2*y - 6 = 36*d - 38*d, -2*d = -k*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:46 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 + 7)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k. Let b(p) be the third derivative of -p**4\/2 - 57*p**2. Calculate d(b(y)).\nAnswer: -108*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50952.1 - 53336. Round x to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) 55 (c) 0.65 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -5\/12*p**4 - 1\/20*p**5 + 0 + 7\/6*p**3 + 4*p + 0*p**2. Determine h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + 24*f = -22. Calculate the smallest common multiple of 58 and f.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1371 + 1403. Calculate the highest common factor of r and 1520.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1907, 3818, 5729, 7640?\nAnswer: 9551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -1.777?\nAnswer: 1.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 12*w + 14. Let a be q(-6). Let z(x) = -10*x**2 + 4*x**3 - 4*x + 3 - x + a*x**2 - 5*x**3. What is z(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8061*o + 24185. What is d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*1*-2 - sqrt(135))\/sqrt(3))\/(3*3*(sqrt(9) - (-2*sqrt(9) + sqrt(9)))).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -223*w**3\/4 - 110*w**2 + 681*w\/4 - 9\/2.\nAnswer: -(w - 1)*(w + 3)*(223*w - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 13 + 0 = -3*k, 5*q - 36 = 4*k. Suppose -686 + 1718 = q*a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -6)*(1 - 2). Let c(d) = 7*d - d**2 - 2*d**2 + 2*d**2 + 19 + 2. Let u be c(9). Sort u, -3, t in ascending order.\nAnswer: -3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 28*n**2 + 2*n + 1. Let m be q(-1). Suppose c - 4*c + m = 0. What is the highest common divisor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/(-3) + 4\/(-6). Let n = w + -15. Find the third derivative of -5*o**5 + 3*o**2 + 6*o**n + 3*o**5 - 8*o**2 wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48 + (-27240)\/320)\/((-24)\/32)\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(1\/52)\/(i*i**(1\/9)*i)**50 assuming i is positive.\nAnswer: i**(-24709\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143131176 to the nearest integer?\nAnswer: 11964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27324\/363*(3 + 24\/(-9)). Is 25 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1874*a + 9657*a - 4030*a - 1875*a - 1880*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1402, 6721, 15586, 27997, 43954?\nAnswer: 63457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and -12.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n - 10. Let m(q) = 5*q - 3. Determine -10*m(h) + 3*u(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssj when three letters picked without replacement from {s: 11, c: 1, r: 3, j: 4}?\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 16*t**3 + 20*t**2 - 11*t - 110. What is the units digit of u(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159691620 minus -0.0409?\nAnswer: 159691620.0409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4596 = -119*f - 104*f - 160*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4415*q - 14*q**2 - 19*q**2 - 17*q**2 + 46*q**2 - 507*q = 0.\nAnswer: 0, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9928449.\nAnswer: 3, 641, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*c = c - 1, u - 4*c = 14. Solve r + r + u = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*9\/(-108)*12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 9*v**2 - 9*v + 11. Let p be u(-6). Let h = 176 - p. Solve 2*q = 3*q - 4*c, h = 3*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 5. Let z be m(-9). Suppose -z*h - k = -96, k - 3*k - 8 = 0. Suppose -h = -4*n - n. Solve -n*r + 1 = -4*a, -2*a = r - 5 + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -2055.\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 2. Let n be ((-22)\/33)\/(1\/(6\/4)). Let w(g) = g. Determine n*t(q) - 4*w(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1843*z**2. Let y(f) = 67*f**2 - 23*f. Give y(h(j)).\nAnswer: 227575483*j**4 + 42389*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 14*c + 611. Let g(d) = 3*d + 153. What is 9*g(m) - 2*r(m)?\nAnswer: 2*m**2 - m + 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 531 + -530.9227. Let v = a + 0.0067. Round v to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.6, -20, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 8 = 0. Let x be ((-9)\/(-18))\/((-1)\/6). Let o be 2 + (0\/x)\/5. Calculate the greatest common factor of m and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266d (base 16) to base 12.\nAnswer: -5839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 6 + 3. Let y(a) = -51*a + 46*a - 1 - 6*a. Determine y(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 2*x. Suppose -x*p + 48 = -7*p. What are the prime factors of 3\/(-1 - 2)*p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3 + 298*z**2 - 1168*z + 1160 = 0.\nAnswer: 2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b = -3, 5*m - b = b. Suppose 22 = -3*i + 4*q, 0 = -7*i + m*i + 4*q - 26. Which is smaller: -11\/4 or i?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i + 2. Let f(w) = w**2 - 6*w - 3. Let a be (325\/26 + -11)\/(2\/(-4)). What is a*f(l) - 4*t(l)?\nAnswer: -3*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, 2, -5 in descending order.\nAnswer: 2, -2\/29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Suppose w - 3*w + 46 = -c*h, -4*w - h + 77 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 2, -0.06, 2\/7, 373, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3*u*u*u*u\/(u**20\/u))\/((u\/(u*(u\/u**7)\/u))\/u)**(13\/4))**(-7\/3) assuming u is positive.\nAnswer: u**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78455.\nAnswer: 5, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258209369.\nAnswer: 11, 23473579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 16. Let f be -4 - (-3 - u)*8. Solve -13 + 29 = -f*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650808721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*b**2 + 2*b + 9*b**2 - 4 + 4*b**2 + 5*b**2 to the form u + r*b**2 + w*b and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + b - 63*b**2 - 4 - 470*b**2 + 4.\nAnswer: -520*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1544738 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = d + 12, -t - 4 = 2*t + 2*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1868205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4416 and 565788224?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*c - 3154 = -508 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 5, k: 2, j: 5}. Give prob of sequence xk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -10. Let q = -204369\/4105 + -12\/821. Let x = q - -50. Sort x, -4, d in increasing order.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 44. Let g = 64 - m. Let b = 30 - g. What is the greatest common factor of b and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v + v**2 - 14 + 20 - 2*v. Let u(s) be the third derivative of s**5\/30 - 13*s**4\/24 + 13*s**3\/6 - 46*s**2. Determine 4*u(g) - 9*z(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43062226 is divided by 444?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 20 = -8*a. Suppose 39 = a*c + 19. Suppose -6 = 3*u - 0*u, 4*n - c*u = 12. Is n bigger than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -30, -12, 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.113 (b) 0.8 (c) 2\/13 (d) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - x**2 - x**2 + 10*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.009 - 9418.\nAnswer: -9417.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23562*o**3 - 4573*o**2.\nAnswer: 141372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 5*m**4\/24 + 4*m**3\/3 - 3*m**2. Let d(q) = -2*q - 3. Give -8*d(w) - 3*f(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*a**4 - 9*a**3*c**2 + 314*a**2*c**2 - 11*c**2 wrt a.\nAnswer: 864*a - 54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 208*o**2 - o - 156. Let c(j) = 414*j**2 - j - 310. Let x(m) = 3*c(m) - 5*t(m). Find the second derivative of x(k) wrt k.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f864c + 3d?\nAnswer: 1f8689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711988593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -31. Let f = -389 - -394. Put 2, r, -4, f in descending order.\nAnswer: f, 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 2*f**3 + 5*f**2 - 7*f**3 + 7*f**3 + 12*f**3 + (2*f**2 - 1 + 1)*(4 - 2*f - 4))*(-10*f + 7*f + 10*f).\nAnswer: 70*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 1 + -2 + 38024\/(-9506)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y + 25. Suppose 33 - 18 = y*u. Suppose 0*h - 449 = -2*h + u*k, -3*k = -3*h + 672. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-72))\/(6\/(-15)) + 7\/56.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001067913521 rounded to 7 dps?\nAnswer: -0.0001068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260244 divided by -74132?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -33, 3, -38 in increasing order.\nAnswer: -53, -38, -33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 230388.9kg?\nAnswer: 230388900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6479 + -6479. Which is the biggest value? (a) 0.5 (b) -14 (c) 4\/3 (d) 2 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 17 + 69. Let o(p) = -2*p**2 + 6*p + 6. Let s(i) be the first derivative of 4*i**3\/3 - 13*i**2\/2 - 13*i - 28. Give l*o(n) - 6*s(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3672 and -46\/30753.\nAnswer: 246024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -5. Let z = 8 + s. Solve i = -1 - z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1694880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 - 1 = 0. Calculate the least common multiple of (14 + -126)\/8 - -52 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7))**(-6\/5) assuming t is positive.\nAnswer: t**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -76. Suppose 12 = w + 4*m, 0 = -5*w + 5*m - 0*m - 15. Solve -s*k - k - 10 = w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 > 403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 m when four letters picked without replacement from ltfumumlfaam.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*f*v**4 + 1064*f*v**2 + 74619*f wrt v.\nAnswer: -68*f*v**3 + 2128*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f, 3*f + 8 = w + f. Let k be 14\/w + (-5)\/(-20). Let h(a) = -7*a + 7*a + k*a**2. Let s(d) = 7*d. Determine h(s(n)).\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -416 - -418. Suppose p*k - 6 = 2*l + 34, 5*k + 4*l = 118. Calculate the greatest common factor of k and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935239882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**7\/14 + 2*x**6\/5 - 3*x**5\/4 + x**4\/2 - 2*x. Factor l(b).\nAnswer: -3*b**2*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379970 to the power of 1\/2, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.061 - 0.039. Let w = -2.100076 - t. Round w to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Let m be ((-4)\/14)\/((-8 - 1)\/126). Let g(q) = q**2 + 6*q - 38. Let d be g(m). What is the highest common divisor of c and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23020881 and 0.1.\nAnswer: 2302088.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*168\/(-108))\/(-6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13.2 (b) -6 (c) -3\/11 (d) 224\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -313, -691, -1231, -1939, -2821, -3883, -5131?\nAnswer: -6571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24636 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3*y**2\/2 + 4*y + 4. Let q(j) = 12*j - 15. Let c(n) = -15*p(n) - 4*q(n). Let k(r) = -2*r**2. What is k(c(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/15437 and 17\/61748.\nAnswer: 61748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -8 - -5 - (49 - -2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -105, 16, 0.3?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p + 3*c - 9 = 0, 0 = 4*p + 3*c - 9. Suppose g + 4*g - 125 = p. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -9 in decreasing order.\nAnswer: -0.3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6596618 divided by -4.\nAnswer: 3298309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1023 = 6*j - 801. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2\/17 (c) -18 (d) 0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 131*q**3 + 5805*q**2 - 90601*q + 159014.\nAnswer: (q - 43)**3*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2128 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q + 27 + q + 8*q + 0*q. Let a be i(-3). Calculate the highest common divisor of 16 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**3 - z**3 + 5*z**3 - 12*z**2.\nAnswer: 30*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 11*h**3\/3 - 21*h**2 + 15*h. Does 18 divide x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -509 + 742. Let f = v + -405. Let o = f + 186.7. Round o to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 84. Suppose 384 = t*h - 2*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**2 + h. Calculate v(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 151882*n - 151883*n + 58 = 0, 3*y + 2 = 5*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -31 + 18 + (2 - 3 - 51).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 763.167112 to 0 dps.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7323*g. Let a(y) = -10*y**2. What is s(a(p))?\nAnswer: -73230*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71811860 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 10. Let z = 146 + -147. Suppose -h - 1 = -2*h. Sort z, x, h in decreasing order.\nAnswer: h, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:54 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/72 and -109\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m + 1. Let d(c) = c**2 + 7*c - 6. Let i be d(-7). Calculate the remainder when p(i) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38344 is divided by 38321?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/40 - (12 - 9))*(-38430)\/(-732)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - 352\/(-40)) + (-412)\/(-10). Suppose -a - v = -40. Let d be a\/24 + 4\/(-16). What is the nearest to d in -5, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/2)\/i))**(-3\/7) assuming i is positive.\nAnswer: i**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 8*z - 1. Let h be w(-7). Solve -u = 2*d + 2, 0 = 2*u - h*u + 4*d + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 31 = -0*v + 3*v, c = -5*v + 80. Solve y - 10 = -y - 4*h, 4*y - v = -5*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.3, -53, -0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, l: 2, u: 1}. What is prob of sequence lul?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2. Let v(h) = h**2 - 5*h. Let k be v(6). Let o(n) = 6 - n**2 - k. Give o(i(r)).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 793 + -462. Suppose g*j - 336*j + 5 = 0. Let r = 93 - 653\/7. Which is the second biggest value? (a) r (b) -1 (c) j (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99288 is divided by 116.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -26*k - 168. Let n(w) = w**2 - 16*w + 8. Let q be n(15). Let u be c(q). Solve 2*g = -o, -o - o = -3*g - u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*sqrt(56)\/sqrt(2))\/(sqrt(484)*1) + (-5 + sqrt(112) - sqrt(63)\/(-1*sqrt(9))).\nAnswer: -6 + 60*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/15)\/(2\/(-54) - 0). Suppose -v*g + 5*g + 584 = 0. What are the prime factors of g?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:26 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/2)*x\/(x\/(x**(-9)*x)))**(-12))**(-6\/11) assuming x is positive.\nAnswer: x**(-468\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 8*v**3 - 30*v**2 + 3*v + 11. What is the first derivative of y(z) wrt z?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.2. Let c = 0.061274 + -0.061274. Put w, c, 3\/14 in ascending order.\nAnswer: w, c, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 23, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 19 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*g**3 - 1714*g wrt g?\nAnswer: -282*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337422860?\nAnswer: 2, 5, 16871143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.9, -100, -1\/2.\nAnswer: -100, -1\/2, 0.9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 1688 (c) -1.1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593 = -28*y - 173. Solve -y*m = -11*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-8))\/(-5))\/(-46*(-38)\/300656)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 601 + -141321?\nAnswer: -140420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7480 divided by -34?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -12. Let n = 546 + -314. Let h = n + -194. What is the remainder when h is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b - 4. Let r(t) = t - 1. Let f(l) = 6*r(l) + x(l). Let p(i) = 6*i - 2. Let u(y) = 2*f(y) - 11*p(y). Differentiate u(j) wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -151 - 2*1. Let p = a + 155. Suppose -2*h = -p*h + 60. Calculate the highest common factor of 50 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001179 to 5 dps.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -47\/128189 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**2 - 12*f - 5. Let i be n(8). Let x = 24 + i. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32430 and 4695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 1. Let l(w) = 5 + 1 - 4 + 2*w. Let g(y) = 6*l(y) + 5*o(y). Let v(k) = -k + 4. Let z(b) = -4*g(b) + 7*v(b). Let c(x) = -x. Give c(z(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 12?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4)\/(-84))\/((-8)\/(-72))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016 take away 560?\nAnswer: -559.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14098 and 515242?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from bbdzbbd.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6342?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 389900 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 + 20*j + 34. What is the tens digit of u(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3451)\/(-116) - (-1)\/4. Let a = 70 + 0. What is the greatest common factor of v and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*i**3 - 3*i**4 - 48 - 72*i**2 + 16*i**3 + 96*i + 41*i**3.\nAnswer: -3*(i - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -6, -3 in decreasing order.\nAnswer: -1, -3, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3 + 9*x**2 + 7*x + 6. Let j(i) = 1 + 0 - 8*i + i**2 + 8*i - i**3. Let d(q) = -4*j(q) + v(q). Calculate d(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f. Let r(s) = 3*s**2 + 10*s. What is r(p) + 2*v(p)?\nAnswer: p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p, -5*h + 6*h + 2 = 2*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/(6\/12). Which is the second smallest value? (a) -4 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 14*f**2 - 273*f - 10. Let b be c(25). What is the highest common factor of b and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98485030 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 7 = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(2\/11)\/u)\/u)\/((u*u\/(u\/(((u**(-3)*u*u)\/u*u)\/u)))\/u))**(1\/2))**(-47))**(3\/7) assuming u is positive.\nAnswer: u**(-141\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = -r - i, 2*i - 4 = -5*r. Solve -c = -r*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 148358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 - 7 = 2*i, 5*i + 55 = -5*q. Let b = -1115\/248 - -15\/124. What is the common denominator of (-27)\/(-4) + q\/2 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88957146*w + 36614389 wrt w?\nAnswer: 88957146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by 6?\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -101. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3451*i + 353*i - 371*i + 1191*i.\nAnswer: 4624*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3503 and 10230?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -92511.\nAnswer: 3\/10279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from caqcaqaaqqa?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.669895 litres?\nAnswer: 2669.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(-2 + (sqrt(99) - -3*(sqrt(99) + 2))).\nAnswer: 18 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 527*d - 513*d - 428078. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 18.83974.\nAnswer: 22.83974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15739\/87670 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 + 809\/5. Let i = 106\/9 - 104\/9. What is the nearest to i in -3, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 11. Let z = 16 - m. Put z, 6, -1 in descending order.\nAnswer: 6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Let i(s) = -2*s**2 - 2449. What is k(i(x))?\nAnswer: 4*x**4 + 9796*x**2 + 5997601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + (7 - 5)) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/((s*s**(-1)*s)\/s))\/s*s*s*s\/(s*s**(-5)))\/(s**(2\/3)\/s**(-2\/15)) assuming s is positive.\nAnswer: s**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + -12. Let b = 39 + f. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 17*o**2 + 16*o - 35. Suppose t - 4*t - 54 = 0. Let a be m(t). Solve 7*l - 4*l = -k + a, k = -l + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j - 4720188 = -3*z, 3*z - 4*j = 4720216. Round z to the nearest ten thousand.\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57233023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*m, 0*h = 3*m + 5*h. Suppose -3*p + 9 + m = -2*x, 2*x - 6 = 0. What is the greatest common factor of 35 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3034536 (base 7) to base 11.\nAnswer: -227904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let d(s) = -60001*s**2 - s. Let c be d(w). What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 136305.\nAnswer: -54522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.67722 or 215\/13?\nAnswer: -1.67722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -138. Let d be (v\/33)\/((-1)\/(-3)). Solve 6*m + 2 = d*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4623523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.0183939?\nAnswer: -0.00367878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 85, 155, 253, 385, 557, 775?\n\"Answer: b**3 + 5*b**2 + 26*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.54572 less than -0.063086?\nAnswer: -48.608806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103030137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83292 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -414173 (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/182 and 35\/9.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 954882?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6510 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 32 - 50)*(0*c**5 - 3*c**5 + c**5).\nAnswer: 102*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 314260.8ml?\nAnswer: 314.2608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244105 is divided by 10162.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11138 (b) -0.3 (c) -3.6 (d) 1\/4 (e) 2\/961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966 less than 6960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 6 = 5*x, -9 + 5 = x - 3*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361960944?\nAnswer: 2, 11, 2253079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10503597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w - 13. Let z(h) = 6*h + 9. Let b(r) = 5*j(r) + 6*z(r). Determine b(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -2 - (-9)\/(-1). Let x(u) = 7*u**3 - 10*u**2 + 8*u + 7. Let a(b) = -b**3 + b**2 - b - 1. Let y(g) = p*a(g) - x(g). Determine y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -32 (c) 1\/5 (d) 6\/11 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 27 = 5*k, -3*f = 2*k - 4*k + 15. Factor 112*z**4 + 153*z**k - 9*z**3 - 25*z**2 + 8*z + 85*z**2.\nAnswer: 4*z*(2*z + 1)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-225)\/(-135))\/(5\/198).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -15 (b) 0 (c) -1 (d) -0.5 (e) 1\/4 (f) -179\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 184*u = -180*u - 37 - 2, 78 = 14*t + 4*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**3\/51 + 63*n**2\/17 + 580*n\/17 + 584. Find u, given that g(u) = 0.\nAnswer: -58, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 43799998 = 3*d, x + 2*d = -x + 17519996. Suppose -11682247 = 4*c + 4*b - 2922239, -4*c = b + x. What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6211.447ns to microseconds.\nAnswer: 6.211447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12832350 rounded to the nearest ten thousand?\nAnswer: 12830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137648338, 275296685, 412945034, 550593385, 688241738?\nAnswer: 825890093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -105*h**2 + 3*h - 3. Let w(q) = -418*q**2 + 13*q - 13. What is 6*w(a) - 26*z(a)?\nAnswer: 222*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 + -13147.\nAnswer: -13142.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 6*b**2 - 16*b - 16. What is t(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**3 + 3*x**2 - x - 1. Let w(z) = 9*z**3 + 5*z**2 - z - 2. Let h(p) = -5*j(p) + 3*w(p). What is the derivative of h(q) wrt q?\nAnswer: 21*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 9) to base 12\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0 + 8. What is the smallest common multiple of t and (-2 + 4\/(-3))*-3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 681 - 743. Do -62 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -471.9544 and -385.72619.\nAnswer: -857.68059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2183 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 48. Give t(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -20, 2\/17, -3\/5.\nAnswer: -20, -4, -3\/5, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*y + 3. Let s be -3*y\/(6\/(-3)). Let b = 26 - 27. Put s, b, -0.5 in ascending order.\nAnswer: s, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from {e: 7, c: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11778.06 + -11780.059974. Let i = 2 + y. Round i to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9141 is divided by 86?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 3. Let g be k(-6). Suppose -g*o - 3*z = -0*o - 39, -3*z = 5*o - 55. Let u = 12 - o. Is 11\/4 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15260 = -59*v - 985 - 2062. Calculate the remainder when 3931 is divided by v.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 38 + 80 = 21*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 34*q + 20. Let n(f) = -44*f - 20. Let h(u) = 2*n(u) + 3*r(u). What is h(-6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/20 - 7*i**4\/12 - 8*i**3\/3 - 7*i**2\/2 - 14*i. What are the prime factors of z(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q. Let i be ((-2)\/(16\/12))\/(1\/30). Let u = 46 + i. What is o(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 2*p**2 + 3*p + 2. Let x be w(-1). Is x\/2*159 - (-5 + 4) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((621\/23)\/27)\/((-2)\/(13*-2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80628.\nAnswer: 2, 3, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*z - 77*z + 20*z.\nAnswer: -227*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 7*y**2 - 5*y + 3. Suppose -2*m + 4 = 4*g, 2*m - 39 = -g + 4*g. Suppose -r - r - m = 0. Give p(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, i: 3, n: 2, z: 4}. What is prob of picking 3 y and 1 n?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from kgkkagkgkg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 16 - -9 - (1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 4704, 4.\nAnswer: -50, 4, 4704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26535, -105972, -238367, -423720, -662031?\nAnswer: -953300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 5306, 17948, 42578, 83192, 143786?\nAnswer: 228356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-1) - (3 - -44). Let k = 157\/4 + f. Find the common denominator of k and -13\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 65*r**2 + 76*r - 27. What are the prime factors of x(-34)?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -6, -16, -40, -84, -154, -256, -396?\n\"Answer: -l**3 + 2*l**2 - l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*r - 84, -5*r - 138 = -238 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -15*i**3 + 1395*i**2 - 22*i + 2054. Give b(93).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 9:55 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (3*2*sqrt(85) + sqrt(85)))\/sqrt(5) - (-1 + sqrt(1700) + 2))*-1)**2.\nAnswer: 32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28708, -40832, -52946, -65044, -77120, -89168?\nAnswer: -101182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52511.65km in millimeters?\nAnswer: 52511650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -414, -947, -1876, -3333, -5450, -8359, -12192?\nAnswer: -17081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3735\/(-625)*14\/147*7?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3 - 0)*(-1170)\/(-6305). Let l = 164\/485 + h. Let r = 11 - 3. Is l greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*q - 111*q + 22 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/48)\/((-145)\/(-87))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -175*v - 56672. What is g(-327)?\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1929*o + 1926*o - i - 6, -110 = -o + 9*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -6*v + 994. Suppose 5*y - g - 178 = 0, -5*g = 5*y - v - 18. Solve y = -3*t + 4*n, -t + 2*t = 5*n - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 5:47 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z - 4 - 1501*z - 724*z - 848*z - 497*z.\nAnswer: -3538*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93282, 186566, 279850?\nAnswer: 373134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -33*q. Let r(p) = -322*p - 8. Calculate i(r(w)).\nAnswer: 10626*w + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81106797535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3147\/1049*((-112)\/60)\/(-4)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*h = 81*h + 51. Let w be (0 + -3 - (-1 + 4)) + 1. Put -3, 4, h, w in decreasing order.\nAnswer: 4, h, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469098?\nAnswer: 2, 3, 7, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -68, -200, -456, -878, -1508, -2388, -3560?\nAnswer: -5066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/116*((-68)\/102)\/(2\/20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85366761 to the nearest integer?\nAnswer: 9239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15.2 times -2275\nAnswer: -34580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41925991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, j: 9, r: 1}. Give prob of picking 1 m, 1 r, and 1 j.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g**2 - 10*g**2 - 11*g**2)*(103 + 29 - 182).\nAnswer: 450*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -330 + 169. Let s = r + 160.7. Which is the second biggest value? (a) -0.02 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k - 11*k - 41*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 4*s = -40*m + 16, -5*s - 5 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 18*m**2 + 2*m + 3. Let n be i(-2). Suppose 0 = -3*y - 5*d - n, 0*y + y - d + 37 = 0. Let h = y - -67. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.2 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221011 + 20111111102?\nAnswer: 20112102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 1771*f + 4. Let q(n) = -3*n. Calculate x(q(i)).\nAnswer: 27*i**2 + 5313*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*l - 2*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300 times 15?\nAnswer: -49500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-17)\/(-2))\/(-15 - (10 - (-2143510)\/(-85740))).\nAnswer: 3, 17, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5783574, 5783585, 5783590, 5783583, 5783558, 5783509, 5783430?\n\"Answer: -u**3 + 3*u**2 + 9*u + 5783563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.136 to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 385*b**2*l**2*r*v + 2*b**2*l*r**3*v + 4*b*l*r**3 + 2*b*l + 3*l**2*r**3 + 5*l*r**3 - 2*l*v wrt b?\nAnswer: 770*l**2*r*v + 4*l*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2191156 divided by -57662\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/7 - 62*q\/7 - 60\/7 = 0. What is q?\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2430? (a) 38 (b) 2.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 5*z**2 - 16*z**2 + 3*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 146\/8 - 2\/8. Let u = r - 0. What are the prime factors of (u\/8)\/(6\/16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.001983 + -0.002. Round x to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14 = 2*h + 2, -2*k - 4*h = -40. Suppose 2*p - 2 - k = 0. Let o be p\/6 - 1\/(-3). Solve o*u + 4*s - 6 = 0, -6*u + 2*u = 2*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y + 5828. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*1*-2. Let c(g) = s - 1 + g. Let j(a) be the second derivative of a**4\/3 - 118*a. Determine c(j(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, -1229, -1842?\nAnswer: -2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/71 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -7*b + 3*a - 37, -2053*b + 2051*b - 47*a - 261 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*t + 201 - 218 = 0, t - 248 = 82*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(68) - (1 + sqrt(68))) + -1 + sqrt(68) + -2*(-2*sqrt(68) - sqrt(68))))**2 + (sqrt(68) + 3 + sqrt(68) + 1)**2 + 6*(2 + sqrt(68))**2.\nAnswer: -816*sqrt(17) + 54096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**6\/900 + 2*d**5\/75 - 4*d**4\/15 - 7*d**3\/6 - 10*d. Let g(r) be the second derivative of x(r). Factor g(v).\nAnswer: -2*(v - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51886 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472120461.\nAnswer: 3, 757, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -11. Let u(w) = 11*w - 343. Let h be u(33). Suppose 0*c - i*c = h. Is -1\/4 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (-2*sqrt(99)\/sqrt(3))\/sqrt(3)).\nAnswer: -6*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-15)*-2*(-22)\/(154\/(-21))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m - 1. Let g(q) = 4126*q + 6. Calculate -2*g(w) - 14*k(w).\nAnswer: -8336*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Let b = -8 - -4. Let r be 3*-2*2\/b. Put -2, f, r in descending order.\nAnswer: f, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184 + -185. Let k be h*(108\/57 - 2). What is the second smallest value in 0.2, k, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4117 - 4?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 40. Let x = 63 - v. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 22 = 2*w, -3*v - 4*w - 5 = -0. Suppose -5*k + 2*a - 40 = -a, -4*k - a = 15. Sort k, 4, v in descending order.\nAnswer: 4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232313214 (base 6) in base 11?\nAnswer: 2489a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*u + 204, -2*b - u + 117 = -0*b. Let n = 14 + -12. Let y be (n + 30)*(-2)\/(-4). Calculate the greatest common factor of y and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15472 is divided by 968.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f**2 + 1. Let h(x) = x**3 - 14*x**2 - 3*x + 16. Let k be h(15). Let w = 194 - k. Let m(b) = -5*b**3 + 1. Calculate w*p(a) + m(a).\nAnswer: -3*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 31356 = -l, 5*v + 3*l + 25081 = 9*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 322 = 12*p. Suppose 3*b + 94 - 271 = 0. Suppose 2*z + 3*z - b = 2*j, -3*z + 33 = -2*j. Calculate the remainder when p is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, -2.5, 2\/3, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Calculate the remainder when 48\/2 - (o - -8) is divided by 38\/4 + -2*27\/(-36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + t - 5*k, -3*t + k + 9 = 0. Let x = -88 - -91. Solve x*n + 9 = -t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyis when four letters picked without replacement from {s: 2, i: 1, k: 1, y: 2, c: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -27155*d + 5919786. Calculate g(218).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4080*a**2 + 21*a + 92 wrt a.\nAnswer: -8160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 99*s + 1685. Let t be d(113). Suppose 4*o = 2*o + 210. Do t and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 43*c - 15*c - 5*u = 5, -2*u - 4 = 3*c + 2*c - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 309868409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 45*s - 1992 = 0. Suppose 4*l + 4*k = 392, 5*l = -4*k + k + s. What are the prime factors of l?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -163. What is the tens digit of (0 + y\/(-3))*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 87, 5 in decreasing order.\nAnswer: 87, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and 586099777334.\nAnswer: 586099777352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 + sqrt(20))**2*-6.\nAnswer: -1086 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3090, -6157, -9236, -12333, -15454, -18605?\nAnswer: -21792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*5\/(-140) - 323\/(-684)*-45.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*1 - sqrt(119))*1 + sqrt(119) + sqrt(119))\/(sqrt(7) - (sqrt(77) - sqrt(77)*-2)\/sqrt(11)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, 1 m, and 1 l when four letters picked without replacement from qtqphhtmhhll?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -5, -26, -55, -92, -137, -190?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 4*k**3 + 2*k**3)*(1666*k**2 - 765*k**2 - 591*k**2).\nAnswer: 310*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 0.386872823?\nAnswer: -3.386872823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 350*o**2 + 222*o**2 + 0*o**3 + 598*o**2.\nAnswer: o**3 + 1170*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -39*u**2 - 28*u - 5. Let b(r) = 20*r**2 + 14*r + 2. Let j(h) = 5*b(h) + 2*q(h). What is the second derivative of j(f) wrt f?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(28\/(-8)))\/(-6). Which is the closest to l? (a) 1\/4 (b) 3 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1 - 2*j - 12*j**2 + 4 - 2 + 46*j**2. Calculate the least common multiple of u(1) and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -320 and -6.\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjc. Give prob of picking 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 - -268. Suppose -4 = 6*u - s. Solve -b - u = w, w + 5*b + 24 = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.363886 millennia in months?\nAnswer: 76366.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:59 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by 7\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 1. Let u(m) = -472*m**2 + 158*m**2 + 155*m**2 + 157*m**2. Determine n(u(o)).\nAnswer: 6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 115*v**2 - 172*v + 19681. Calculate r(115).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 28. Let h(o) = -193*o - 162. Give -6*b(u) + h(u).\nAnswer: -205*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.65, 1\/2, 0.72 in increasing order.\nAnswer: 1\/2, 0.65, 0.72, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5396307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p - 7 = -7. Suppose p = 5*c + 10, 5*f - 16*c - 236 = -18*c. What is the greatest common factor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 7 - 1\/(-3))\/(55\/495)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 3. Calculate m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a factor of 209918396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240672 (base 12) to base 5.\nAnswer: 122102213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdniddyynhiw. What is prob of picking 1 d and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -18. Let t(o) = o**3 - 3*o + 4. What is the remainder when i is divided by t(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 65642?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -3\/4*q**4 - q + 0*q**2 + 0*q**3 + 0. Let g(m) = -5*m + 3. Let l(d) = -d + 1. Let z(t) = -g(t) + 3*l(t). Calculate z(j(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/5856 - ((-7025)\/305 + -14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312*v**3 + 3586*v**2 - 24848*v + 47?\nAnswer: -1872*v + 7172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 546911?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o - 0. Let h be 50\/(-45) - 3224\/(-2772). Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/5350 and 103\/13910?\nAnswer: 69550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -3, 0, 5, 12, 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*3\/18*(-6 + 12). Let u be (0 - 6)\/(9\/(-24)). Solve -4 = -g - 3*t, -r*g - u = -g - 4*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*h - 1. Solve 30*z**5 + 20*z**2 + 84*z**4 + h*z**4 + 28*z**2 + 8*z + 102*z**3 = 0 for z.\nAnswer: -1, -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23152439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 16, l: 2}. What is prob of sequence ld?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -245 - (-25)\/(-15)*-3. What is f rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-330)\/(-99)*2\/((-24)\/27) and -47\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 51*c - 763735 + 381868 + 381868. Let w(p) = -6*p + 4. Let a(u) = -17*u + 11. Let r(y) = 4*a(y) - 11*w(y). Calculate f(r(d)).\nAnswer: -102*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*f**2 + b**2*f - 295*b*f - 53*f**2 wrt f.\nAnswer: -2*b**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 26893682850 to the nearest one million.\nAnswer: 26894000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(2\/5))\/(2085\/3753).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 + -1 + -1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63045447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -348, -4, -1 in descending order.\nAnswer: 2, -1, -4, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*s**4 + 189*s**4 + 2*s + 0*s + 13969 - 13967 - 2*s**3 - 3*s**2 as b*s**2 + x*s + t + a*s**3 + z*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 95 - 5 = 0. Suppose -z*f = -4*r + 650, 2*r + 5*f = -0*f + 310. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 83?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3601 is divided by 259?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -125 + 60 + 50 + -79.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**7\/2520 + x**6\/144 + x**5\/60 + 4*x**4\/3 + 28*x**2. Let n(b) be the second derivative of m(b). Give n(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01002643793 rounded to 5 dps?\nAnswer: -0.01003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34244 - 10985 = 2461*c - 931 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70*((-15)\/(345\/46))\/(9*(-6)\/3).\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 404 and 2447937.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -14 + 48. Suppose -6 = r - 4. Calculate the remainder when u is divided by ((-24)\/(-18))\/(r\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -11 - 3. Let p(g) = -g + 1. Let j(i) = -5*i + 3. Let o(n) = j(n) - 6*p(n). Let m(a) = 4 + 3 - a - 3. Calculate s*o(t) - 5*m(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 5*w**2 - 4*w**3 + 4 + 3*w**3 - 2. Calculate the remainder when (-2)\/(-13) + (-37)\/(-13) is divided by h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 99*n**2 + 9*n + 7. Let w(f) = -148*f**2 - 13*f - 10. What is -7*i(q) - 5*w(q)?\nAnswer: 47*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.012? (a) 5 (b) 1 (c) 2\/7 (d) -0.08 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 60*o**4 - 2*o**3 - 17*o**2 - 66*o**2 + 44*o**2 wrt o.\nAnswer: 1440*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*a**5 + 18760*a**4 - 9475*a**3 - 17580*a**2 + 10575*a = 0. Calculate a.\nAnswer: -235, -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:49 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qchh when four letters picked without replacement from chhhchhcccchqcqchh.\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1) - (-7 + 31 + -13)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - (2 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34766 is divided by 6734.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4055008 and 11?\nAnswer: 44605088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364952 by -7448.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 2*u**2 + u - 2. Let l be z(-3). Let g be (-1 - (-12)\/l) + -2. Suppose g + 92 = 4*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-30))\/(1\/(-6)*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-375)\/10)\/(-3)*(-1344)\/(-10). Suppose -34*u + a + 1312 = 0. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + 74. Calculate the highest common divisor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (8 - 2)) + (0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-36)\/(-30)*4*5\/4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqnq when four letters picked without replacement from qqnqqn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + j - j)*(0 + 2*j - j + 2)*(26 + 65 + 22) in the form s*j + z*j**2 + m and give z.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 6 - 0. Let r be ((-10)\/3 - o)*-3. Solve 5*j + r*g = -13, -7 = -3*j + g + 4*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**8*y**12 assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/37*6*(6\/1)\/(-3))\/69?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2949\/2 - -58907\/40. What is the common denominator of (-7 - 2) + 7*(-39)\/(-12) and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -41, -68, -119, -200?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -v - 340. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/53056 and 89\/201136.\nAnswer: 666966976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257*v - 5 = -1258*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/117 and 47\/117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h. Let y = 4 - -1. Let g(b) = 3*b + b - y*b. Suppose 4*v - 2 = o, 3*o + 3*v = v + 8. Give o*x(p) - 2*g(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5.27.\nAnswer: -6.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 413529336 = 413529336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2831*z + 2831*z + 105876*z**2 - 912565*z**2.\nAnswer: -806689*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from {s: 3, h: 8, u: 3, t: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -78.211870385 - 0.06\nAnswer: -78.271870385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1366, 0, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 1. Let y be v(1). Suppose 7*o + 4*n = 4*o + 10, 0 = o + n - 3. Let h be (5 + -1)*o\/y. Solve 2*f + 5*a = a - 6, 5*f - 21 = h*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -ab3149b?\nAnswer: ab3149f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/60*184\/207\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -8 - (0\/(-2) - 4518)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, j: 3, h: 1, w: 1, e: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 2*o**2 + o - 1. Let v be f(-5). Suppose -13*i + 505 = -93. What is the highest common divisor of v and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43548*q**4 - 52*q**3 - 12307387*q**2 wrt q?\nAnswer: -1045152*q - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -714 from -40174.\nAnswer: -39460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - 3*m + 2*m - 5*m**2. Let a be z(-1). Suppose 2*p + a*p + 260 = 0. What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:49 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 45. Let p(v) = -v**2 - 3*v - 4. Determine p(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/5, 0.4, 227\/2, -0.4 in decreasing order.\nAnswer: 227\/2, 0.4, 2\/7, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -8, 0.2, 2.96, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8952, -4, 2\/9 in decreasing order.\nAnswer: 2\/9, -4, -8952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52700 and 195500.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 4*f + 2. Calculate b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9))\/(42*(-30)\/(-324) - 5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/3 - 7\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 4*z + 12*z**3 - 12*z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -49.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y\/y**15)*y)\/y*y**(-1\/9)\/y)\/(((y*y**(3\/25))\/y)\/y**(-16)) assuming y is positive.\nAnswer: y**(-277\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7920 by -66.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b050 (base 12) in base 3?\nAnswer: -2000121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 41*s**2 - 45*s + 130. Determine l(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Let b be ((-3)\/(-3) - 4)\/(-1). Find the second derivative of 2*t + 4*t + 0*t**3 + h*t**b + t wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + -2 + (4 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*w - 112*w = -174 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 12:13 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.2. Let g = 3 - -1. Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 55 = 15. Suppose 10*y - 100 = -g*y. Solve 2*h + 3*o + 8 + y = 0, 2*o + 4 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*(-1)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6701 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 9*n**2 + 2*n + 11. Let g be k(9). Let h = g - 25. Differentiate 0 - 6*q**3 - 3*q**3 + 10*q**3 + h wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 d, and 1 j when four letters picked without replacement from nnssdnj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*i + 6, -3*u + 4*i = 1 + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mss. What is prob of picking 1 s and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 3*c)*(0 - 3 + 2) - 3*c + 3*c - c - 3*c + 0*c + c + (2 + 1 - 1)*(2 - 2*c - 2) + 2*c - 3*c + 3*c + c - 5*c + 2*c - 3*c + 2*c - 2*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -45.8, -40, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006455 to 4 dps.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -19*h**8\/48 - h**4\/8 + 5*h**3\/2 - 7*h**2 - 14*h. What is the second derivative of m(p) wrt p?\nAnswer: -2660*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 286916274 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 38*n - 329. Let x be j(-25). Let a = 41 + -5. Is 27 a factor of 80\/3 - 3*x\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 3*p**2 + 4*p**2 + 1 + 1 + p**3 to i + b*p + s*p**2 + v*p**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*3 + sqrt(14) - sqrt(14) - -1*sqrt(1694))\/(3*sqrt(112) - 6*1*sqrt(7))*6.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -7*z - 18*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**3 + r**4 - 6*r**3 + (-r**3 + 3*r - 3*r)*(-r + 0 + 0) - 4*r**4 - 9*r**4 - 50*r**4 + (-3*r - 4*r + 5*r)*(-r**3 + 2*r**3 + 0*r**3).\nAnswer: -63*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a + 8*a - 18*a - 4*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 1 m when three letters picked without replacement from {m: 1, g: 1, h: 2, c: 6, p: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56*(-19)\/(-456))\/(98\/(-3276))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74895756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-120*o**2 - 11*o**2 + 27*o**2)*(-2 + 0 + 0 + (-3 + 4 - 2)*(0 - 4 + 2) + 4 - 3 + 1)*(6*o + 0*o - 2*o) as r*o**2 + x*o + s*o**3 + u and give s.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 407064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18821351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -484 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7797, -1220\/3, 11 in increasing order.\nAnswer: -1220\/3, -0.7797, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201891 and 4861722.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbhwhwhhhb. What is prob of sequence bh?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -2*r + 3*f - 6*f, -r + 3*f + 43 = 0. Suppose 0 = 2*v - r - 150. Let c = v - 7. List the prime factors of c.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230890044 divided by 6.\nAnswer: 38481674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6257808, -12515618, -18773428, -25031238, -31289048?\n\"Answer: -6257810*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.451 and 6?\nAnswer: 8.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -1121 + 1116 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 0.07, 45818?\nAnswer: 45818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 10:31 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/270 and 193\/72277920?\nAnswer: 72277920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 - (-12)\/5. Let k be (-60)\/(-9)*(-3)\/(-2). Suppose 2 = c*g - k. 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 m = -9 - -11. Suppose -10*x - 8 = -m*x. Let v(b) = 6*b**2 - 4*b - 4. Let c(o) = -o**2 + o + 1. Determine x*v(r) - 5*c(r).\nAnswer: -r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**6\/6 + 6*r**5\/5 + 5*r**4\/4 + 25. Suppose f(c) = 0. What is c?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/5 (b) 1180.7 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20013818.\nAnswer: 2, 11, 23, 37, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3888, -15498, -34832, -61878, -96624, -139058, -189168, -246942?\nAnswer: -312368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)\/((-7)\/(-301)). Let k = z - -14. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 524*v - 30. Let r(p) = 1046*p - 68. What is 9*g(b) - 4*r(b)?\nAnswer: 532*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6103 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 3*m + 13. Let j(y) = 2*y**2 - 2*y - 9. Suppose -153*z + 855 = -29*z + 47*z. Calculate z*h(u) + 7*j(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006285 + -12.200574?\nAnswer: -12.194289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27035 + -23736. What is the remainder when a is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.831 - 0.8. Let h = k - 0.03099822. Round h to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -22. Let b = 7 + y. Are b and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137\/548*64*-5\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c - 292*c + 5642820 = 183*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10.9 (b) 0.5 (c) 2 (d) -5 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6706012939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -1\/80 (c) -0.15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5075590408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aasp when four letters picked without replacement from {s: 3, z: 1, p: 5, a: 7}?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 127, -11, 0.2 in ascending order.\nAnswer: -11, 0.2, 0.4, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114062 - -12?\nAnswer: 114074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g - 5*g - 214 + 349 + 307. What is the units digit of i(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1399+-19.4\nAnswer: 1379.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 28 = 30, -2*j = -5*g - 1420. List the prime factors of j.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123505 - -144310?\nAnswer: 20401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10222 + v**3 + 5237 + 4985.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 11*w**2 - 3*w - 50. Determine r(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138.4007 - -0.1007. What is v rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25841 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6281884 divided by -157\nAnswer: -40012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35817 divided by -3155?\nAnswer: 35817\/3155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 4:37 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 3*h - 12*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:53 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/12 + a**3\/3 + 9*a**2\/2 - 3*a. Let z be g(-8). Let k = 198 + z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 + 182. Suppose -3*h + o = 2*g, -3*h - g + 5 + 10 = 0. Solve -z + 5*t = 20, h*z + 2*t = -t + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 136.0000118. What is k rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -836, -744, -602, -410, -168, 124, 466?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -25236060 to the nearest 10000.\nAnswer: -25240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 2*n**2 - n + 1. Let o be f(-2). Suppose 0 = -o*s + 2 + 1. Let i = 2\/101 + 1101\/505. Is i at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12280 + -12238. Which is the closest to 2\/7? (a) n (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 3}. Give prob of sequence ppp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 2*h + w, 12 = 3*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 154 in 5, 0.2, 1, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v**2. Let x = -12 - -11. Let t(h) = -6*h**3 + 2*h**2 - 8*h - 2. Let a(j) = x*t(j) + 5*n(j). Determine a(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 1. Let a be s(-1). Suppose -2*i - i - 5*l + 20 = 0, a*l = -4*i + 16. Is 23 - i*(-1)\/(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 1 (c) -0.16 (d) -30.7 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + (-4*-4*sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77) - sqrt(77)) - sqrt(77))\/sqrt(7).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(720) - (sqrt(720)*-3 + 2) - (sqrt(720) + sqrt(720) + sqrt(720)*-3*2 + sqrt(720)))*4)**2.\nAnswer: -21504*sqrt(5) + 2258176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5384996?\nAnswer: 2, 1346249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -5*h - 4, 5*h + 2 = p. Suppose -2*y - 20 = -p*t, -5 = -t - 3*y + 5. Let n = -5 + t. Solve -4 - 1 = -n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 145, 287, 429, 571, 713, 855?\n\"Answer: 142*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/10 + 78*p**3\/5 - 609*p**2\/10 + 73*p\/5 + 456\/5 = 0. What is p?\nAnswer: -1, 2, 3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2088 = -2*l + 3*l - 18274. Does 48 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 29 = -3*o, h - 4*o - 20 = -h. What is the first derivative of -h*q - 3*q + 3*q + 2*q - 3 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnxnqnxnxnx. What is prob of sequence xnx?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -9. Let t = -30 - -27. Which is the nearest to f? (a) -0.2 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 bigger than 795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3701 and 81.23?\nAnswer: 3619.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 9532*y + 11357378.\nAnswer: 2*(y - 2383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 9*z**2 + 3*z + 8. Let q be 110\/(-15) + (-25)\/15. What is l(q)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 2*(-2)\/(-4). Suppose 4*v - x*v - 2 = 0. Suppose -3*r = v*o + 1, -5*r + 5*o + 5 + 10 = 0. Sort -3, r, 0 in increasing order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 22 = -3. Suppose -h + 13 = -2*h - 3*x, 0 = -k*x - 25. Put h, -3, 0 in decreasing order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) -7 (c) -0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - n**2 - 2 - n**3 + 3*n**2 + 2*n**3 - 6*n. Let b be y(-6). Let j = -26 - b. Solve m + j = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + r - 2. Let t = 382 - 380. Let b(c) = 4*c**3 - 9*c**2 - 3*c + 9. Determine t*b(a) + 9*x(a).\nAnswer: -a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464 - 1290 + 1515 = -21*a for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952242 rounded to the nearest ten thousand?\nAnswer: -2950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4319481 is divided by 81499?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*-3\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, 1026, 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -542 divided by 271.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1))**(-3\/7))**(-17))**(-31) assuming p is positive.\nAnswer: p**(1581\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17580723 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxaxxaxxaxxxxxxxx. What is prob of picking 1 a and 1 x?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -2)\/(30\/(-45)). Let p be (-14)\/(-21) - (-4)\/t. Let s(f) = -2 + 2*f**2 - f**3 - p*f + 2*f + 2*f. Calculate s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 25*q**2 - 145*q - 9. Suppose 2*v = -n + 34, -10 = -7*v + 2*v. Calculate the remainder when n is divided by z(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/12 - 450305*v**2\/12 - 12673243198*v\/3 + 12673580929.\nAnswer: -(v - 3)*(v + 225154)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 282*23\nAnswer: 6486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 9318*f**2 + 55881*f + 83808.\nAnswer: (f + 3)**2*(f + 9312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197.55576 months to decades.\nAnswer: 1.646298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00593219 rounded to 4 decimal places?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520 = -7*b - 513 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10914, 21828, 32742, 43656, 54570, 65484?\n\"Answer: 10914*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 16 (b) -4 (c) -2 (d) 89 (e) 21 (f) -233 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -2\/17951, 1\/32 in decreasing order.\nAnswer: 2\/17, 1\/32, -2\/17951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 8:24 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:56 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 2. Let n(z) = -z - 1. Let x be -1*(-3 + 5 - 1). Give x*c(i) - 2*n(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*t**5 + 10*t**2 + 35*t**2 - 35*t**5 - 576*t - 16*t**5 - 8*t**2 wrt t?\nAnswer: 80*t**3 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 12. Let f be (c\/(-4))\/((-2)\/100). Suppose 3*g + 7*h - 4*h = 90, 2*g = 3*h + f. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -60951807*a. Let h(m) = -6*m. Determine h(s(c)).\nAnswer: 365710842*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/21 and (34 + -75)*(-2)\/10.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 5*y + 16, -3*y - 15 = -4*c + 7*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -8. Let j = -1 - a. Let 3*o**2 + 49*o - 49*o + 3*o**j = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 21 + 174 - 4)*(4*i - 5*i - i - 2*i - 2*i + 3*i + (-2*i + 0*i + 3*i)*(-1 + 4 - 1) - 4*i + 2*i + 4*i) to the form w*i + m and give w.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 264*h - 2340.\nAnswer: -3*(h + 10)*(h + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 1:16 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1088 and 51\/23.\nAnswer: 25024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2 = 56*q - 57*q, 5*q + 10 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9) + 32\/12. Suppose -d*l + 4*s + 30 = -6, -45 = -5*l + s. What is the least common multiple of 4 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -475, -1055, -1865, -2905, -4175?\nAnswer: -5675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -19, 0, 17, 32, 45?\n\"Answer: -v**2 + 24*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 28 + 8 = 0. What is the common denominator of -11\/12 and y\/10 + (-41)\/11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 3:48 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.256 + 1.744. Which is the smallest value? (a) 2\/5 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66407 (base 8) to base 14.\nAnswer: a259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 7*y - 7. Let h(i) = 5*i**3 + 4*i**2 + 2*i - 2. Let t(j) = 4*j**3 + 3*j**2 + 2*j - 1. Let a(v) = 3*h(v) - 4*t(v). Calculate 7*a(w) - 2*b(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-5))\/(2\/5). Let z(n) = n**3 + 6*n**2 - 8*n. Let b be z(d). Solve 3 - b = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86 - 5*p**2 - 86 + (-3*p + 2*p**2 + 3*p)*(4 - 1 - 5) - 3*p + 3*p**2 + 3*p as m*p + q*p**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2 - 442*h + 136. Give j(-74).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*s - 6 = 213*s - 3*h, -s = 3*s - 4*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*0\/(-188))\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 - 0.3. Let q = -2 + s. Which is the nearest to 0.2? (a) 5 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h - 1. Let y(q) = q. Let k(w) = n(w) + y(w). Let i be k(3). Suppose -i = -0*m - m. Solve 4*g - 36 - 1 = 5*c, -5*g + c + m = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 246*c + 936.\nAnswer: 3*(c + 4)*(c + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1083, -4325, -9729, -17295, -27023, -38913?\n\"Answer: -1081*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.868 + -59.292. Let x = -60 - o. Which is the third smallest value? (a) 4 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006460457 rounded to six dps?\nAnswer: -0.000646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1)**(-4\/21)*(v\/v**(1\/4))\/(v**4\/v) assuming v is positive.\nAnswer: v**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (34 - (-19 - -17))) + 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/23)*x))\/((x**(-5\/4)\/x)\/x))\/(x**1)**(1\/14) assuming x is positive.\nAnswer: x**(2103\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 663 - 659. Let g(t) = -34*t**2 + 4*t + 3. Let s be g(f). Is s != -525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 0 = 3*h - 1, -4*q + 3*h + 7 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 0, -2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (68*133\/(-88179))\/(((-8)\/(-14))\/((-36)\/(-1218)))?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (5 + -4 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 78\/5 + 3\/5*p**2 + 9*p = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 6. Let c(b) = -b**3 - 6*b**2 - b - 2. Let f be c(x). Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28721 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 260, 995, 2198, 3869?\n\"Answer: 234*g**2 + 33*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -187 (b) -2 (c) -1\/10 (d) -4\/87 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwaxwwx. Give prob of sequence wxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m**4 + 3*m**4 - 2*m**2 - 2*m + 0*m**2 in the form l*m**4 + h*m + j*m**3 + w*m**2 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let b = -2 + s. Let z = -21.6 - -22. What is the nearest to b in z, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 13*f**2 - 202*f + 1735. What is p(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.000236 + 27. What is a rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-4))\/i*i)\/(i\/(i\/i**(-5))))**7 assuming i is positive.\nAnswer: i**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + sqrt(325))*-5.\nAnswer: -25*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.9 plus 69.7015?\nAnswer: 53.8015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - -1.5. Let v = -3 + m. Let j be (-4)\/6*36\/8. What is the nearest to 0.1 in v, j, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1512*s + 1168*s - 67704 = 944*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*z + 7, 7*x - 5*z = -164 + 160 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 8) to base 6\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20002.1 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*(-18)\/(-1620))\/((-2)\/(-34))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, t: 2, x: 1}. What is prob of sequence pp?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15803518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.01 - -0.01. Which is the biggest value? (a) 0 (b) 3 (c) m (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*3\/2*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2631610 to the nearest ten thousand.\nAnswer: 2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -15211 in increasing order.\nAnswer: -15211, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*g = -4, -4*g = 6*z - z + 8. Let h = z - 1. Is 6 a factor of (-8)\/(-6)*(7 + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*q - 88 + 319 = 55*q. Sort 33, -3, 2, q, 7 in decreasing order.\nAnswer: 33, 7, 2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 12. Let w(n) = -n - 1. Let t(a) = i(a) - 12*w(a). Let h(s) be the second derivative of -s**3\/3 + 11*s. Determine t(h(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 603, 718, 833?\n\"Answer: 115*q + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-969)\/(-2261)*2\/42?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*f + 59*f + 54 = 0. Is 138*174\/f - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*p + 6*p**2 - 142*p - 244*p**2 wrt p?\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, x: 3, e: 5, a: 6}. Give prob of picking 1 a and 1 o.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/((-663)\/(-164084)) + (-5 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 + 2*d**2 + 1. Let y(t) = -41*t**3 - 9*t**2 - 4. Let i(b) = 2*y(b) + 9*z(b). Calculate i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 - 3*u**2 + u + 1. Let t be s(1). Suppose -5*z - t*r + 135 = r, -2*z + 5*r = -61. What is the highest common divisor of 70 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167.51 - -168.9213. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 1:41 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 + 1. Let w(s) = -s + 9. Let h be w(8). Let u be a(h). Suppose 4*t + 2 - 6 = u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q - 9. Let t be s(-8). Let y = 66 - t. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2 + 4*a + a**2 - 3 + 4 + 0*a. Let p be c(-4). Let r be (1 - (p + 2))\/2. Solve -5*i = -x - 19, 4 = -x - r*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4038 + 2?\nAnswer: 4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (140\/105)\/((-3)\/((-9)\/2)). Find the second derivative of -23*r**z + 6*r + 11*r**2 - 23*r**2 wrt r.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3015 - 1843. What is the remainder when m is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47857721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + 3*sqrt(1008))*-6*2)**2.\nAnswer: 31104*sqrt(7) + 3919536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/12 + 3\/(-12). Suppose -2*j - s*j = -10. What is the derivative of q**2 - q**3 + 3*q**3 - 4 - q**j wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539*c = -530*c - 612. Calculate the highest common factor of 238 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -3, 0.2, -1, 21, 0.4, 45?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.09 (b) 1\/2 (c) 0.04447 (d) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) -0.3 (b) -5 (c) 344 (d) 1 (e) -1\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899.9545g to milligrams.\nAnswer: 899954.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.091 and -0.61.\nAnswer: 0.05551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 - 36 = -3*g, 0 = -g + 4*t + 18. Suppose 5*o = h - 16, 2*h + o = 4*h - g. Let b(x) = 5*x - h + 2*x**2 - 3*x**2 + 1. What is b(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6677077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 27*b. Let o be m(5). Suppose n - o = -8*n. Find the third derivative of 2*l**2 - 6*l**2 - 13*l**2 - n*l**6 wrt l.\nAnswer: -1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 1)*(h - 3*h + 3*h) + (-1 - 3 + 3)*(-2 - 5*h + 2) as s*h + r and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23551, 23556, 23581, 23638, 23739, 23896, 24121?\n\"Answer: 2*w**3 - 2*w**2 - 3*w + 23554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 360 = -9*v. Solve 9 = -v*b - 21 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1518 (b) 1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c*i**3*j*r**2 - 7*c*i**3*r - 3*c*j**2*r**2 + 3*i**3*j**2 + 2*i**2*j*r - 3*i*j**2*r**2 wrt j.\nAnswer: -6*c*r**2 + 6*i**3 - 6*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53678069 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15)\/x*x)**(-2\/7)*x**(4\/5)*x**9\/x*x assuming x is positive.\nAnswer: x**(1033\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3208099 and 2305?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 2)*(2*i - i + i + (0 + 2 - 6)*(-i - 4*i + 6*i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 6*y - 1. Let m(t) = -t**2 + 5*t - 4. Let r be m(5). Let g(o) = o - 1. Let b be g(r). What is the units digit of n(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Suppose -5*m - 3*v = v + 20, u*v + 25 = -5*m. Solve 5*s - 3*t + 3 = m, -2*s - 18 = -0*s + 3*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131598.\nAnswer: 2, 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/16 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27246 (base 8) to base 14.\nAnswer: 44d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9339.5 and 4?\nAnswer: 37358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-3 + 3 - h)*(39 - 4 + 153).\nAnswer: -376*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4146097542?\nAnswer: 2, 3, 31, 149, 149603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 1044 = -170. What is the remainder when r is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 149. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/3)\/2 + 5. Does 21 divide 7\/(20\/q - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(4\/(-18)). Let j = n - -2. Solve 0 = j*r - 6 - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178144.\nAnswer: 2, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/29))\/b*b\/(b\/(b\/b**(2\/27)))*b**(1\/13)\/((b**6\/b)\/b) assuming b is positive.\nAnswer: b**(-31210\/10179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = p - 112. Let q be 7\/1 + 61 + 6 + -4. Let v = p - q. Solve -3*b + 15 = c, v = -0*b - 3*b + 5*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 2282987965679?\nAnswer: 2282987965681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -236 - -235. Let w = 0 + 0. Which is the nearest to w? (a) r (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7591.909 nanometers to micrometers.\nAnswer: 7.591909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2792*z - 2213. Give y(-1).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 137. Let -4*h**5 - 6*h**z - 15*h**2 + 3*h**2 + 2*h**3 + 8*h + 12*h**4 = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 277 + -482. Let g = c + 189.7. Let z = -3.1 - g. What is z rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 15672 = 6428. Calculate the highest common divisor of 408 and a.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 s when four letters picked without replacement from {r: 5, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -490\/29 - -5671\/406. Let m be 207\/2*(-1970)\/15. Let o = m + 298961\/22. Calculate the common denominator of f and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - 28. Calculate the remainder when 39 is divided by -4*(j\/10 + 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 + v. Let h be n(2). Let o = 2774 - 2771. Solve m + m = 4*a - h, -o*a = -3*m + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2))\/n**(-2))\/((n\/n**2)\/(n\/n**(-1\/5)*n))*(n**(-2\/3)*n*n)\/((n*(n**(-2\/5)*n)\/n)\/n)*n**(3\/2) assuming n is positive.\nAnswer: n**(343\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**6*u\/(u**4\/u)*((u\/u**(-2))\/u*u)\/u**(-2))**(-25) assuming u is positive.\nAnswer: u**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*j + 22135311 = 22135227, -63 = -3*q + 4*j for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528969758 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:11 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37181 is divided by 18512?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5076 a factor of 80738856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -844?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(8\/3)\/(n**(6\/5)\/(n**(-5\/4)\/n*n)) assuming n is positive.\nAnswer: n**(-307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v - 4. Let m be 4 + -5 + (1 - -2). Is f(m) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214056 = -1251*j - 122733 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - 686*l + 21. Let v(i) = i**2 - 272*i + 11. Let s(a) = -2*m(a) + 5*v(a). Suppose 2*d - 15 - 9 = 0. What is s(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/(z*z*z**4*z)*z**(1\/4)*(z**3*z*z)\/z*(z\/z**0*z**(1\/3)*z)\/((z*z**(-2\/13))\/(z*z*z**(-1\/4))) assuming z is positive.\nAnswer: z**(19\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let i(n) = 0*n - 2*n + 3*n**w + 3*n. Let x(q) = 7*q**2 + 2*q. Let k(t) = 5*i(t) - 2*x(t). Find d, given that k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277 is divided by 145?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/11)*g\/g**(-17\/3))\/(g*g**0)**(-1\/11) assuming g is positive.\nAnswer: g**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n**2 - 9*n. Let h(g) = 5*g**2 - 3*g. Let a(x) = -11*h(x) + 4*q(x). What is the units digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = f + f - 36, 5082*b + 16 = 5086*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 47*f = 262, 217 = 5*y - 2*f + 40 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 9, e: 1, u: 1, n: 5}. Give prob of picking 1 e and 1 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 4712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -11. Let i(k) = -1 + 2*k - 5*k + 4*k + 4*k**u. Suppose -2 = n - 3*n. Give i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 116 + 312 - 64 - 2659*l**3 - 70.\nAnswer: -2659*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1966)\/(-8847)*((-54)\/(-8))\/(15\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 n when four letters picked without replacement from {n: 5, l: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -186, -371, -556, -741, -926, -1111?\n\"Answer: -185*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 119*k - 6 + 0 + 30 to a + p*k and give p.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100000110 (base 2) to base 14\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1721 + 691 = 36*l. Solve 82 = 3*z + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s - 50 = 44*s. Solve 2*l - 11 = -3*n, 4*n - 11 = -3*l + s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 347900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -29. Solve 3*w - 4 = -j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -0.4441?\nAnswer: 0.5441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -301 - -826. What are the prime factors of u?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 6*g - 5. Let a be j(4). Suppose 5*t - a*t = 8. Solve 5*u + 11 = t*y + 38, 6 = -2*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 39 - 2*d - 57 + 14. Let j be k(-7). Solve -3*v - z - 13 = -2, 0 = -3*v - 2*z - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a factor of 993155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n + 28. Let i(v) = 3*v - 7. Let a(p) = -2*g(p) - 9*i(p). Let w be a(5). Let m(y) = 2*y + 2 + 0*y - 5*y**w - 4*y**3 + 3*y**3. Determine m(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3 + 3*v**2 - 3 + 3 + 7 - v**3. Calculate the remainder when w(-3) is divided by 258\/18 + (-2)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -80) + (-3 + 4 - (-1 - -17))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 - -1*5). Let k = -1 - -4. Suppose 2*q + 22 = 5*q + 4*p, -4*q - k*p + 20 = 0. Solve -y*w = -q*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 901 - 894. Calculate the highest common divisor of 259 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30330, 30322, 30308, 30288?\nAnswer: 30262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1822975819.\nAnswer: 7, 6661, 39097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g + 208 - 32 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 2*z**2 - z**2 + (-z**2 - 4*z + 4*z)*(3 - 4 + 0) + 4*z - 3*z**2 - 4*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2497808.\nAnswer: 2497808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/4 + 5*p**3\/3 - p**2 - 6*p + 9. Let l be u(-5). Solve 0 = -r - l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 d when four letters picked without replacement from gydy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 6*x + 1320. Let q be ((-54)\/7)\/(36\/x). Suppose 0 = -4*u + q - 8. Is u not equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 41. Suppose 4*f - 8*f - 3*y + 4 = 0, 0 = -u*f + 2*y + 4. Solve 0 = -3*d + 2*d + f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 + (-26)\/6. Let d(j) = j**2 + 2*j - 12. Let b be d(w). Solve 4*n = -3*h + 2 + 9, -3*h - 24 = -b*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 7*b + 29, 5*g = 3*b + 142 - 113 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 - -205. Calculate the highest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -303\/227 + 1\/681. Which is the closest to -1? (a) p (b) 0.1 (c) 1\/2 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 greater than -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9514 - -1.044. Let p = j - 5.0926. Which is the third biggest value? (a) -4\/7 (b) p (c) -1\/2 (d) 222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3113210?\nAnswer: 2, 5, 17, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 460 = -3*s, -4*r + 180 = -2*s + 3*s. Let k be (-2)\/9 - s\/(-396). Which is the nearest to k? (a) 4 (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/31 (b) 0.06 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*f + 2 = 3, -2*w + 7 = -5*f. Let g = 11339 + -11333. Solve -g*r = 29 + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1056 + 1069. Solve 57 = -22*c + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/2 - 5*k**2 - 96*k - 1. Let s(l) = l**2. What is g(s(h))?\nAnswer: 6*h**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474092 by -1.\nAnswer: 474092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 0 - (-14 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37)\/((-6512)\/(-66)) + (-31)\/(-40). What is the smallest value in 2\/3, y, 0.0121, 0.1?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -17. Let z be b\/65 - (-476)\/52. Let s(r) = 5*r + r - 13*r + 3*r - z. Let x(w) = -2*w**2. Calculate s(x(d)).\nAnswer: 8*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8417653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1026582987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, r: 4}. What is prob of picking 2 s and 1 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11041077 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 + 9*r**2 + 1819*r - 10750. Determine f(6).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 1856*m**3 + 61904*m**2 + 116416*m.\nAnswer: 4*m*(m + 2)*(m + 34)*(m + 428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/5)\/(5*(-368)\/360). Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047067 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26250 = -1718*d - 342*d - 565*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2556191029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*l = -3*p + 8, 4*p = 2*l. Let o be 1 + (-46)\/12 + 2. Is p less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:01 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 17}. Give prob of picking 2 h.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-17 + 8 + 31 + -3)) + 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 70 = -5*j - 4*b, -2*b + 3*b + 13 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10\/(5\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1772, -3539, -5282, -6989, -8648?\n\"Answer: 2*l**3 - 1781*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 886*v**2 + 385. Let j(c) = -2*c. Give j(p(z)).\nAnswer: -1772*z**2 - 770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b6 (base 16) to base 12\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 98\/17 (c) 2\/153941 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/35 and 13\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 46*r**2 + 3*r - 1. Let c be j(2). Let w = 141 + -136. Suppose w*i = c + 141. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -61 + 58. Let g(b) = 3*b**2 + 4*b + 6. Let d(x) = 4*x**2 + 5*x + 7. Let m(u) = -2*d(u) + 3*g(u). What is m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 188554.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a859c + -47?\nAnswer: 3a8555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 4*m - 2. Calculate the remainder when g(3) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 15) to base 11\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okojjjuuyookkjyjoujp. Give prob of sequence kj.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Suppose -12 = 544*i - 546*i. Let p(w) = 43*w + 187. Let y(u) = 20*u + 94. Let k(s) = i*p(s) - 13*y(s). Calculate k(a(g)).\nAnswer: 4*g**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 17*r - 13. Let o(x) = -x**3 + 5*x**2 - 2*x + 4. Let y be o(4). Is w(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 - 90*d**2 + 52*d + 148. Calculate m(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 30 - 0. Let d(q) = q**3 - 7*q**2 + 7*q - 6. What is d(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 6*d + 0*d)*(0 + 0 + 2*d)*(-2*d - 2*d**3 + 2*d) + (-d**5 - 3*d**5 + 2*d**5)*(18 - 3 + 0) + (-2 + 2*d + 2)*(d**4 - d**4 - d**4).\nAnswer: -44*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6 + 5*h**4 + 1498038*h**3 - 2*h**2 + 97266683*h wrt h.\nAnswer: 120*h**3 + 120*h + 8988228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 380*o**3 + 35*o**2 - 124*o**3 - 123*o**3 - 122*o**3 + 5 + 6*o**2 as h*o**2 + j*o**3 + f + z*o and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 34.\nAnswer: -137\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442505, 885279, 1328053?\nAnswer: 1770827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)\/(u**2\/u)*((u**12\/u)\/u)\/u**(-1\/30) assuming u is positive.\nAnswer: u**(1957\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2. Suppose 4*h - 2*p = -6 - 0, 4*h + 2*p = 6. Let n(l) = h*l - 13*l + 8*l. Give n(v(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - 10*t - 6*t - 2*t**2 to the form l + z*t + u*t**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 3*x + 44. Let v(b) = -b + 2. Give -h(u) - 3*v(u).\nAnswer: -2*u**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 3. Suppose -3*v - 8 = -n - 84, -4*n + 56 = 3*v. Suppose -4 = z*u - v. Solve -o + 0 = -u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*m + 791, 5*m - 8*f + 658 = -4*f. Which is bigger: -72 or m?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 - 28500*k**3 - 514456*k**2 + 1142880*k = 0.\nAnswer: -20, 0, 2, 7143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 25*l + 56. Let v be p(11). Let m = -14 + v. Calculate the least common multiple of 30 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 8 - -27) + -52 - 16.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 u when four letters picked without replacement from {p: 6, x: 2, u: 7}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 13) to base 12.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 276\/14 + 6\/21. Let r be (4\/(-10))\/((-2)\/b). Solve 0 = t - r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) 97 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-64))\/((-2)\/(-16)). What is the second derivative of -71*k**r + 1 - 4*k + 1 + 20*k**2 wrt k?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 54*g**2 - 1032*g + 44852. Determine m(51).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38676, -38673, -38660, -38631, -38580, -38501, -38388, -38235?\n\"Answer: n**3 - n**2 - n - 38675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) - sqrt(700)*2))*-5*-4)**2*5 - (sqrt(77) - (sqrt(77) - 1*(sqrt(77) + sqrt(77)*-3)))\/(1*sqrt(11)*2 - sqrt(11)).\nAnswer: 2*sqrt(7) + 5600000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:01 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 - 90 = 114*j - 172*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 22, -5, -3 in descending order.\nAnswer: 22, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 + 636 = 13*o. Let t = -58 + o. Let i be (-411)\/(-105) - t\/7*-1. Is i less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9230 = 3*f - 5*d, 8*f - 3*f - 2*d - 15396 = 0. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:52 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129689754505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 2*i + 4*q - 43, -2*i + 133 = -3*q. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-136) + ((-4888)\/(-272))\/(-13).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 71. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4112 (base 6) to base 16\nAnswer: -38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 + 3*k**2 + (2*k - k - 2*k)*(2*k - 2*k + 2*k))*(-6*k + 13*k**2 + 6*k).\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u + 2*u + (0*u - 3*u + 6*u)*(-2 - 1 + 1) + 0 + 2*u + 0 + (-6 - 13*u + 6)*(1 + 1 + 0)*(-3 + 3 + 1)*(2 + 1 - 2).\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j**2 - 28*j + 190. Calculate g(15).\nAnswer: -2255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) -10\/7 (c) -0.54 (d) 0.21 (e) -0.6 (f) -1 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, s: 4}. Give prob of sequence sss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39723214\/2769 - -43037\/3. Calculate the common denominator of -17\/923 and w.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, s: 1, o: 2, m: 11, p: 4}. Give prob of picking 1 c and 1 h.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1603 = 1603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77526 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -29*n**5\/10 + 11*n**3\/3 - 3*n**2\/2 + 18*n. What is the second derivative of f(v) wrt v?\nAnswer: -348*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 22*q**2 + 2*q - 9. Let j be l(22). What is the greatest common factor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77730 and 12?\nAnswer: 155460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1628112 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516 + -151459.\nAnswer: -150943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:58 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3211*o - 6426*o = -3210*o - 4*y + 68, y = 3*o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 340*h**3 - 3*h + 3*h.\nAnswer: -340*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 6 = -89. Solve 5 = 2*z - a*n, -5*n - 4 = -5*z + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h = -130*h + 969. What is the remainder when 354 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.3 + 41. Let y = b - -1.3. What is the second biggest value in 3\/4, y, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 690673\/2321022 - 1\/19182. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71441 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(25))\/sqrt(5)*4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m - 4*m**2 + 21*m**3 + 11*m + 4151052 + 19*m**4 - 4151049 wrt m.\nAnswer: 456*m + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Suppose 0*g + 11 = g - 5*m, 0 = -b*g + 4*m + 13. What is the first derivative of g + 21*l - l**3 - 21*l wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72427195409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1596 or -1569?\nAnswer: -1569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5887679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-19)\/((-665)\/(-10))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408328874 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 40. Suppose -i + 6*i = r + 16, 4*r = 3*i + 4. Solve -4 = -i*d - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*j**6 + 386*j**4 + 29580*j**2 wrt j?\nAnswer: -2160*j**3 + 9264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3\/(-9) - -1. Let x = -232 - -228. What is the third biggest value in -0.3, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765*m + 17972 = 769*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-7 + -3 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418 + 0*y - 418 - 3691*y**3 + 0*y.\nAnswer: -3691*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35861036.\nAnswer: 2, 313, 28643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1830134 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, f: 3, v: 6}. Give prob of sequence rv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/30 and -41\/19800?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575120\/4108 + -5*13.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -659. Let u = w + -460. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4*o + 6. Give y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Let w be (y\/6)\/((-1)\/(-9)). Find the second derivative of p**4 - 6*p**4 + 4*p + w*p**4 + 4*p**4 wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 19 - 4)*(-2*b**2 - 3 + 179*b**3 - 93*b**3 - 84*b**3 - 26*b) as t + m*b + u*b**2 + l*b**3 and give u.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18713960 a multiple of 995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5537683.80899933 - 5537804.809. Let c = 121 + p. What is c rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -95, -92, -89?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -5) + -10 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n\/(n**(4\/9)\/n))\/((n*n**(3\/4)*n)\/n**(12\/11)) assuming n is positive.\nAnswer: n**(4315\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 102*f - 194*f + 94*f.\nAnswer: 2*f - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -56*p**3 + p**2 + 5*p + 3. Let l be c(-1). Suppose 2*r + 3 - l = 0. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 (base 15) in base 7?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5463929160 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 134, 127, 120, 113?\n\"Answer: -7*c + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/(((m*m**(-1\/6))\/m)\/m)*(m*(m*(m\/(m\/(m**1*m)))\/m)\/m)**(-29) assuming m is positive.\nAnswer: m**(-365\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 2*n, 3*g + 4*n + 11 = 17. Is 2839 - (g - -7 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0439 + 0.0438342. What is k rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-74)\/(-24) + 162*21\/(-126) + 21\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*18\/(-81))\/((-8)\/(-12))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-12))\/(3\/12). Let u = a - -8. Suppose -u*i = -5*i + 32. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1076657\/813870 - 6\/9043. Let o = -37057\/44 + 3353\/4. What is the common denominator of o and n?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z = 101 + 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1210 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16542064978 - -3909474951. Let w = 12632590242.00000203 + p. Let j = w + -215. What is j rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 21 = 3*n, 4*n - n + 4*q = -39. What is the units digit of n\/(-2) + 1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 118803*w**5 - 2637112180*w**4 + 14633375203451*w**3 + 9462582818862*w**2 - 194636903164*w + 985502408 = 0. Calculate w.\nAnswer: -2\/3, 2\/199, 11099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:42 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b\/(b**(-17)\/b)))\/(b\/(b\/(b*(b*b**(-1\/3)*b*b)\/b*b))))**45)**(1\/7))**(-4) assuming b is positive.\nAnswer: b**(3720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + h. Let o be 194 - -9*(-6 + 156\/27). Let i = o - 189. What is z(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - ((-3 - -9) + (4 - (3 + -7 + 8)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*n**2*y**2 + 196756*n**2*y + 564*y**3 wrt y.\nAnswer: 90*n**2 + 3384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*r**3 - 385\/2*r + 35*r**2 - 225.\nAnswer: 5*(r - 5)*(r + 1)*(r + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -39*n + 12. Let r be t(-7). Suppose -6*f + f = -r. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49426 is divided by 317.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmkkpakhjhajkaj. Give prob of picking 1 k and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 276. Let c be t(48). Solve -5*x - 3 - c = k, 3*k - 4*x = 31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 42b393c?\nAnswer: -42b393e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -246\/527?\nAnswer: -246\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1696 divided by 4\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8130715?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 - 3 = 0. Calculate the remainder when 15 is divided by (-22)\/(-6) + y\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 116329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22) - 495\/(-8712)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*x**3 - 5*x**2 - 6*x - 39.\nAnswer: -792*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**5\/20 + 1401*d**4\/4 - 3211*d**2 - 2598*d. What is the first derivative of f(k) wrt k?\nAnswer: 3*k**2 + 8406*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/6*(-711)\/1106.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 18. Let o be u(-5). Let y be o\/(-6) + 11\/66. Solve y*f + 9 = -11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26961 - 12630. Does 82 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 != 2048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 6*a - 6. Let c be x(8). Let q = c - -453. Let j = q - 192. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - -124. Suppose 3*l - 1469 = -p, 0 = -3*l + 3*p + n + 1298. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - -38928?\nAnswer: 38928.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/(-77)*7*18\/12. Let q = -34 + 22. Let b be k + 4 - 2*q. What is the highest common divisor of 10 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 18?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.4, -1\/3, 1, 0 in descending order.\nAnswer: 1, 0.4, 0, -2\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.55 - 2.45. Put 0, 1, x, 5 in increasing order.\nAnswer: 0, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (306\/(-5))\/((-1)\/5). Suppose d + 237 = 3*u. List the prime factors of u.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h = 140. Let b be (2 - -1) + 82\/h. Let d(j) = j**3 + 10*j**2 + 17*j + 9. Let g be d(-8). Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*f + 26*f - 7 - 50*f + (-3*f + f + f)*(13 + 12 - 12) to m*f + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 235661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-9)\/(-6)*(-24)\/72?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(((a**(-2\/7)\/a)\/a)\/a))**(-2\/5)\/(a\/((a*a\/a**(-1))\/a))**15)**49 assuming a is positive.\nAnswer: a**(3157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3712.2799 days?\nAnswer: 530.3257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 12) in base 5?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 3*i + 21. Let d = 61 + -53. Let v(y) = -2*y**2 - 8*y + 62. Let l(q) = d*n(q) - 3*v(q). What is the derivative of l(h) wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 150 - 339 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39708 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/19398 and -49\/283762?\nAnswer: 51928446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.312, -4\/7, -0.3, -1\/6, 8 in increasing order.\nAnswer: -1.312, -4\/7, -0.3, -1\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 23, -3, -0.1, 0, 5\/2, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*2 - (2 - 4). What is the remainder when 12 is divided by z*(0 + 3\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 3*r**2 - 3*r**2)*(1 + 4*r**2 - 1) - 42*r**3 - r**4 - 7*r**4 + 9*r**4.\nAnswer: -3*r**4 - 42*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 3. What is b(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 1 z when three letters picked without replacement from {j: 2, z: 3, t: 15}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/2)\/(1002909\/(-250761) - -4). Let o = j - 19501. Find the common denominator of o and -38\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35797\/11 - 3251. What is the common denominator of f and 73\/114?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304125491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1 + 4 + -4.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29 + 20)*(1*-2 - -173). Is -1540 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1956 and -41\/1530?\nAnswer: 498780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 51 = u + 3, 5*c + 2*u = 57. Let d = 407 - 407.3. What is the second smallest value in c, d, -1, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**5 - 4*y**3 - 3*y. Let c(p) = 3*p**5 - 7*p**3 - 5*p. Let s(d) = -4*c(d) + 7*g(d). What is the second derivative of s(b) wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 24*c**2 + 2*c - 21. Determine f(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 11*m - 22*m - 112*m**3 + 32*m**4 + 120*m**2 + 9 - 41*m.\nAnswer: 4*(m - 2)*(2*m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -644 by 15623.\nAnswer: -644\/15623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34\/243 - 5411\/2430. What is the common denominator of g and -94\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/(g\/(g*g\/(g**7*g*g)*g))*(g*g**0*g*g*g*g)**(-1\/23)*(g**(-3\/4)\/((g*g**(-2\/9))\/g))\/(g**1)**(-3\/20) assuming g is positive.\nAnswer: g**(-6826\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -14.3. Let k = u + -0.3. Which is the second biggest value? (a) -0.4 (b) k (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**36\/x**(-38\/7))**(5\/7))**(-28\/3))**(4\/7) assuming x is positive.\nAnswer: x**(-23200\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:55 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -13*l**4 + 4*l**2 - 4*l - 6. Let a(z) = z**4 - z**2 + 2*z + 1. Let n(g) = -2*a(g) - f(g). Find the first derivative of n(k) wrt k.\nAnswer: 44*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 - 4*v + 4*v + v**2 + 4*v. Let c be u(5). Suppose -t = 4*l - c, 0*t - 5*t = 0. Solve 0 = -2*p - 5*j - l, 5*j - 2*j = -p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/15 - (-112)\/10. Let v(l) = l + 42*l**2 - 41*l**2 - u*l + 18. Calculate the remainder when v(13) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176 - -73. Let p = x - -105. Let c(o) = 5 - 9 - 2*o**2 - o**p - 12. Let b(l) = l**2. What is c(b(m))?\nAnswer: -3*m**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 86*c + 576. Give n(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 1488830?\nAnswer: 7444150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179829 divided by -87.\nAnswer: -2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 1\/2*h**4 - 2*h**2 - 4 + 3*h - 7\/3*h**3. Let n(u) = 3*u**3 - 8*u**2 - 4*u + 4. Let t(q) = 4*l(q) - 3*n(q). Factor t(j).\nAnswer: -j*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjdnfnnn. Give prob of picking 2 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010111110000000101100001 - 100?\nAnswer: -11000010111110000000101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 9*g - 1. Let k be x(4). Let c = -9 + k. Suppose a = 6*z - 3*z - 5, -z = -2*a - c. Which is bigger: -4 or a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 7. Let z(q) = q**3 + 15*q**2 + 14*q - 10. Suppose m - 14 = 2*m. Let i be z(m). Calculate the remainder when o(i) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29677.669 rounded to the nearest one hundred?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1472 and -67\/2304.\nAnswer: 52992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*i**2 + 15043*h**2*i - h*i**3 - 2*i**3 + 842*i**2 wrt i.\nAnswer: 6*h**2 - 6*h*i - 12*i + 1684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.141*792\nAnswer: -111.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 9*w - 258. Suppose -r + w - 10 = 0. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let q(i) = -2*i - 6. Let r be q(-4). Let u(y) = 176*y**r + y - y - 173*y**2. Calculate m(u(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/1537 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/8 and -19\/124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:15 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a centimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2180 and 1240820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3325.429 and 16.5972.\nAnswer: 3342.0262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1272\/9)\/((-9)\/(-27) - 1). Is -215 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34308410.6 to the nearest one hundred thousand.\nAnswer: -34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604109492?\nAnswer: 2, 14563, 61871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 4:09 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202 + 2101212111022?\nAnswer: 2101212202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-9)\/(-15))*3. Solve 0 = -q*i - 18 - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -0.1. Let p = x + 0.2. Let m = -3 + 5. Which is the closest to 1\/3? (a) m (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -24*i - r - 116, -1526 + 1427 = 3*i - 42*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11497*o - 1007 = 11444*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.43*-2.\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*p**3*q*z**2 - 3*p**3*q*z + 27*p**3*q - p**3*z - 21955*p**2*q*z**2 + 26*p**2 + 50*p*z wrt z?\nAnswer: 464*p**3*q - 43910*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 14*w + 33. Let j be a(-12). Let y be j\/(-12)*1 + (3 - 0). Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -45.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o\/o**10)\/o*o)\/o)**(2\/13)*o**(-17)*o**(2\/53)\/o)**(1\/67) assuming o is positive.\nAnswer: o**(-13330\/46163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from ffeeefeeeeee.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 193135*r + 193140.\nAnswer: -5*(r - 1)*(r + 38628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2859 - -20015\/7. Let y = -8\/71 - 6\/1207. Which is the third smallest value? (a) y (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2. Let g(u) = 3934*u. Calculate g(n(p)).\nAnswer: 19670*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -2)*(-1157)\/(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 20*f**2 - 64*f + 4. Let z(q) = 20*q**2 - 85*q + 5. Determine -3*v(x) + 2*z(x).\nAnswer: -20*x**2 + 22*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 14*m + 44. Suppose k - 36 = 4*k. Does 2 divide u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.3044 times -1?\nAnswer: 23.3044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*t + 192, 101 - 37 = c - 5*t. Suppose f - 3*f + 4*v + c = 0, 4*v = -12. Calculate the remainder when 66 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f**4 + 0*f**5 + 267\/2*f**2 + 0*f - 39\/2*f**6 - 263 + 0*f**3. Find the second derivative of s(z) wrt z.\nAnswer: -2340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = f - 7, -2*f + 1 = -2*y + f. Let t = -11 - -15. Suppose 0 = 2*i - 2 + t. Sort 0, i, y in decreasing order.\nAnswer: y, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 10*n**2 + n - 6. Let q be t(10). Suppose q*k - 3*g + 3 = 6, 4*g = 5*k - 3. Solve w = -5 + k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1209, 2421, 3635, 4851, 6069, 7289, 8511?\nAnswer: 9735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125455132 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17462764523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (114\/6 + 9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(588)*-1 - sqrt(588) - -3*(sqrt(588) + 2*sqrt(588)))\/(-1*1*sqrt(384) - -3*(sqrt(384) + sqrt(384)*1)) + -2.\nAnswer: -2 + 49*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-4) - 64\/18. Factor -v*q**4 + 0*q + 0*q**2 + 2\/9*q**5 + 2\/9*q**3 + 0.\nAnswer: 2*q**3*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 = 22022*n - 21682*n. Find h such that 4*h**n + 16\/3 + 4\/9*h**3 + 80\/9*h = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 195 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2055 and 6.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/8 (b) -3\/5 (c) 2 (d) -1\/4 (e) 522\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1182 by -90.\nAnswer: -197\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/(-385642)*-109 - (-196)\/1464.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/12556 - -70163137\/238564. Let z = -294 + n. What is the second smallest value in z, 0.4, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 13*g - 14. Calculate the remainder when 621 is divided by h(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((180 - 6) + 4)*(5\/2 - 2). What is the highest common factor of x and 2225?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.052 and 835.2?\nAnswer: 43.4304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45808736277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 122 + 31*f**3 + 57*f**3 + 6*f**2 + 58 - 180.\nAnswer: 85*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5*i - 15, -3*k + 0*i + 2*i = -17. Suppose 0 = k*q - 0*q - 15. Solve -15 = 5*v - 5*p, q*v + 8 - 24 = -2*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 1:00 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 35. Let j be x(-9). Let m be -1*(-21)\/2*j\/30. What is the third smallest value in m, 1\/10, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-843)\/8 - (-6)\/(-48)*-3. Let o be ((-12)\/(-330))\/(w\/(-25)). Is o smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 14. Let y be p(-11). Let r(t) = 5*t - 3 - 1 + y - 2. Let w(g) = 9*g - 5. Let c(b) = 7*r(b) - 3*w(b). What is the first derivative of c(h) wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*o - 467*o + 50 + 301 = -940*o for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + 2*sqrt(143))*3*3*-2)\/((sqrt(11) - -3*sqrt(44)\/sqrt(4) - (-1*sqrt(33))\/sqrt(3))*-5).\nAnswer: 72*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124c (base 13) to base 10.\nAnswer: -2599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.62 = -10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 193685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 8. Let q = -14 + 111\/8. Let z = 11\/24 + q. Is z <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-100485)\/(-18) + (-15)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**4 - t**3 + 1. Let b(n) = 8*n**4 - 2*n**3 - 4. Let o(m) = b(m) - 2*w(m). Differentiate o(l) with respect to l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221705 divided by -4\nAnswer: -221705\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 7 = 0. Let r(i) = 2*i**2 - 8*i + 2. Let v be r(m). Let w = v - 22. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1872) + -2 + sqrt(1872)))**2 + -4 + sqrt(1872)*-1 - (-5 + (sqrt(1872)*-2 + -2 + sqrt(1872))**2).\nAnswer: -2460*sqrt(13) + 185425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -70. Is 44 a factor of (x + 26)*(-13)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137*j**2 + 4*j + 9346 wrt j.\nAnswer: -274*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 509481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 542656760 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y + 2. Let z be f(0). Let k(a) = a**2 - 5*a + 4. Let l be k(5). What is the second derivative of 3*w**z - 2*w**2 - 2*w + l*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2 - 53*r. Let g(p) = -p**2. Determine s(g(y)).\nAnswer: 16*y**4 + 53*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018213709 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9260, 9870, 10894, 12338, 14208?\n\"Answer: j**3 + 201*j**2 + 9058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-10)\/(-40)). Let z be 14\/4 - 3\/i. Let k = 0.03 - 3.03. What is the second smallest value in 0, z, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228558 and 1056.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 536 + 488 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76720523, 76720535, 76720559, 76720601, 76720667, 76720763, 76720895?\n\"Answer: k**3 + 5*k + 76720517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9276\/5 - -1855. Which is the nearest to 0.01? (a) g (b) -0.5 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - ((9 - 6) + 3). Which is the third biggest value? (a) o (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 746*g + 51 = 750*g, 0 = 5*i + 19*g + 8 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 2*c**2 + 5*c**2)*(0 + 2*c + 0) - 2*c**3 + 44592*c**2 - 80105*c**2 + 44424*c**2.\nAnswer: -4*c**3 + 8911*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -112. Let w(v) = -v**3 - 11*v**2 + 12*v + 4. Let j be w(c). Find the third derivative of 28*x**5 - 3 - j*x**2 - 5 + 8 wrt x.\nAnswer: 1680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from svfvvvsfvsvvs?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*j - 12, -9*o = -8*o + j + 2. Let m(y) = y**3 + 0*y + 2*y**2 - 4 - 3*y + 3*y**2. What is the tens digit of m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13143 (base 5) to base 2\nAnswer: 10000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 3. Let f = 0 - m. Let d = 7 + -4. Solve -11 + d = f*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0179 in -1.2, 2\/5, 162?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gip when three letters picked without replacement from pkqikqknkggg.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 4:37 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 43. What is g(15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/33 and -109\/83976.\nAnswer: 923736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17712, 25886, 34060, 42234?\nAnswer: 50408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 2, a: 2, i: 2}. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - 53?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (18 - 3) - (-3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 21. Let i be u(-17). Let m(p) be the second derivative of 2*p**3\/3 - p**2 + 4*p - 22. Calculate m(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433*-0.306.\nAnswer: 132.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let c(w) = w**2 - 11*w + 32. Let l be c(7). Let p(f) = 5*f - l*f - 8*f. Calculate p(h(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(50\/185)*-5. Suppose 0 = -18*r + k + 143. Suppose c = 9*u - r*u, c = -3. Calculate the remainder when 7 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three fifths of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1082312 and 24598?\nAnswer: 1082312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2968 - 6.2968. What is the third smallest value in t, 5, -10.9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 35, 53, 79, 113, 155, 205?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 3*q**2 - 4*q**2 + (-q + 0*q + 5*q)*(6*q - 4*q + 0*q) + 4*q**2 - 3*q**2 + 3*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**2 + 6*v - 564. Determine x(-9).\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 2*j**3\/21 - 6*j**2\/7 + 71. Factor k(d).\nAnswer: 2*d*(d - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) - (-2 + 6). Let u be 4877\/2 - (l + 5\/2). Let s = -880 + u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + w**3 + w**3)*(4 - 4 - w) - 4*w**4 + 0*w**4 + 3*w**4 - 290*w**2 - 5593408*w**4 + 5593409*w**4 + 3 - 1.\nAnswer: -2*w**4 - 290*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 5*u + 1. Let z = -9 - -14. Let f be t(z). Solve 4*q + f - 9 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3885 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 12 = -13*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -4 - (257 + -243).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 73. Solve 5*z - p = 4*y, -2*z + z = -3*y + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 2, -5, -37 in decreasing order.\nAnswer: 3, 2, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = 50. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*f - 67 = 0, 581*f - 578*f = -5*j + 72 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 + 147.137. Round y to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*-4*44\/(44\/11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*j - 22 + 7 = 0, -2*j = 5*f. Suppose -2429 = -3*h - f*l, 2*h - l - 2*l = 1628. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3879757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or -4921?\nAnswer: -4921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 - -1.7. Put 0.5, l, -2\/9 in descending order.\nAnswer: 0.5, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 17*p + 18. Let q be h(16). Put 5, q, 0 in descending order.\nAnswer: 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 170*s - 2991. Determine m(19).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = -2*j + 13, 3*c - 17 = 2*j. Which is smaller: -2\/109 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2149480 divided by 8\nAnswer: 268685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-eight thirds of a decade?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/((-2)\/(-4)). Let r be 1\/(-3) + 2156\/60. Let g = -36 + r. Which is the smallest value? (a) 0 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -866 + 1307. Calculate the highest common divisor of z and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716 = s - 5*z + 650, 0 = -2*z - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423 + 10333441442?\nAnswer: 10333441014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -1, -703, 5, 3, -3, -4 in decreasing order.\nAnswer: 5, 3, -1, -3, -4, -89, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (-17)\/(0 - 1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 - 371*m**2 - 4931*m + 282. Determine l(64).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 16 - 5)*(0*l + 3*l + 0*l)*(l - l - 2*l) as k + a*l + d*l**2 and give d.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13907 + -6752. Is 114 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.06 + 3.1. What is the smallest value in 0.1, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*u + u = 2, 0 = -a + 3*u + 1. What is the greatest common factor of a and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Suppose r = -83 + 357. Let j(w) = 2*w + r - 564 + 3*w - 3*w + 284. Calculate t(j(o)).\nAnswer: -8*o**2 + 48*o - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 35*m\/4 - 147\/2.\nAnswer: (m - 7)*(m + 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -174614145?\nAnswer: -174614143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 6*l - 2*l. Let n(z) = 24*z + 5. Let u be n(2). Suppose 5*a + l = u. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 + 261*k**2 + 2736*k + 4. Give m(-10).\nAnswer: 3744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3060, -6131, -9204, -12279, -15356, -18435?\n\"Answer: -x**2 - 3068*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1500*n + 18008. Determine q(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 2*y + 2. Let k(v) = -3*v**2 + 6*v - 6. Suppose 6*c = 3*n + 3*c + 3, -3 = -5*n + 3*c. Give n*k(j) + 8*q(j).\nAnswer: -j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 888 * -16\nAnswer: -14208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 84, 6\/13, -1\/4, 1\/4, 460.7 in ascending order.\nAnswer: -1\/4, 1\/4, 6\/13, 3, 84, 460.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20027 + 38729 - 18702 - 4*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 - m - 24. Determine l(-6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.162 - -0.162. What is the closest to 0 in 0, d, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f**2 + 2 - 16*f**2 + 2*f**3 + 2*f to the form k*f**2 + j + q*f**3 + z*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:22 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705537, -705121, -704705, -704289, -703873, -703457?\nAnswer: -703041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 133*v**2 + 33572*v - 33573. Calculate m(1).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 8*o - 3. Let x be q(7). Find the second derivative of -8*j + 12*j**x + 10*j - 2*j**4 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - -17983670?\nAnswer: 17983670.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*t**4 + 5*t**4 + 16 - 21*t**2 + 8*t**3 - 20*t**2 + 2*t**5 + 45*t**2 - 10*t - 12.\nAnswer: 2*(t - 2)*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1 + sqrt(70))\/sqrt(10)*-5*5 - 3*(1 + 1*sqrt(14)\/sqrt(2)))**2.\nAnswer: 18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 7:43 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11493, -0.19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -126\/5, 20\/23, -2?\nAnswer: 20\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meeetmefkfemffm. What is prob of picking 1 m and 1 f?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016960944 to 7 dps.\nAnswer: 0.0001696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*q**3 + 2*q**2 + 10*q**3 - 32*q**3 - 34*q**3 - 34*q**3.\nAnswer: 21*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 11) in base 4?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5099 + -5051. Calculate the remainder when 0 + 332\/1 - -1 is divided by y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose -7*m + 3*m + 100 = -2*y, -z*m = -3*y - 42. Suppose -m = -b + 5*v, -6*b + 4*v = -8*b + 54. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 115*m - 69. Let n(o) = 56*o - 34. Let i(j) = 5*n(j) - 3*q(j). What is the thousands digit of i(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/448 (b) -4\/165 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5033 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 19976?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51615668.\nAnswer: 2, 13, 992609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(((b**2*b)\/b)\/b))\/(b*b*b**(-2\/13)))**40)**(11\/5) assuming b is positive.\nAnswer: b**(-968\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 169049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/9*4\/100.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 569 + -574. Which is the closest to -2\/25? (a) 5 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(162) + sqrt(162) + sqrt(162))*1)\/(6*sqrt(54) + sqrt(6)))\/((-1*sqrt(324) - sqrt(324))*2 - (-2*sqrt(324)*-3 + sqrt(324))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -19*a + 21\/2*a**2 + 1\/10*a**5 + 11\/24*a**4 + 0 - 1\/3*a**3. Let m(t) be the first derivative of p(t). Factor m(d).\nAnswer: (d + 2)*(6*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(1331) - (-1 + (sqrt(1331) - -2*sqrt(1331)) + sqrt(1331)))**2.\nAnswer: -330*sqrt(11) + 12004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 24. Let p be r(-9). Let i = p + -2. Calculate the greatest common divisor of 209 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 15. Solve 3 = -s - r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88880*b**3 + 105412.\nAnswer: -266640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260700 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 5*f - 3*f**2 - 1 + 5*f**2 + f**4 - 3*f**2 as y + o*f**2 + d*f**4 + b*f + k*f**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-4)\/(-808)*-2). What is the common denominator of 61\/6 and u\/(-4) + 3 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8724566806 - 8724566806 - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = d - 18, 4*d + 1 = -o + 6*d. Suppose -489 = o*f - 19994. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 625.256.\nAnswer: 624.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 17*x - 9. Let c be u(-5). Solve -4*q - 14 = -c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 9, 0, -2.0771, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 3*o**8\/560 + 4*o**7\/175 + 7*o**6\/200 + o**5\/50 - 13*o**2. Factor z(u).\nAnswer: 3*u**2*(u + 1)**2*(3*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 4) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22192 and 7664562?\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuuf when four letters picked without replacement from ccfufkkcfcfcfffckf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 + u + 39. What is the remainder when 430 is divided by g(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/4 + ((-108)\/9)\/(-24). Suppose k*v + 2 = -3*z - 4, -z - 2 = 0. Solve -2*g - 3*i = -v*g + 19, -g - 17 = 3*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 39.208. Round l to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 394? (a) -0.046 (b) -0.5 (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**3 - 33318*p**2 - 435669*p.\nAnswer: 3*p*(p + 13)*(5*p - 11171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-1760)*-50)\/(-1)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 4, -1, 4, 25?\n\"Answer: z**3 - 4*z**2 - 4*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 2*b**3 + 9*b**3 + (0*b - 4*b + 6*b)*(3*b**2 - 2*b**2 + b**2) + 9 - 9 + 6*b**3 - 5*b**3 + 2*b**3 + 2*b**3 + 5*b**3 - 13*b**3 + b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 13*k**3\/6 - 7*k**2\/2 - 4*k. Let q be x(2). Let b = 29 + q. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/243 - -508\/2673. Sort 5, q, -0.09, -3\/2 in descending order.\nAnswer: 5, q, -0.09, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 0*b + 5*b = 20, 2*b + 22 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 223712 - 75604. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*d - 68 = -68 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1745, 3497, 5245, 6989, 8729?\nAnswer: 10465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95398 + -56877. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/4 + o**3 + 1. Let j be d(-3). Suppose -p = -j*p - 213. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(108500\/(-980) + 109)?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17922 - -37106. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276642.\nAnswer: 2, 31, 59, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 - 11?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25315414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 1280444*d + 1280440.\nAnswer: 4*(d - 320110)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + 1*(sqrt(28)\/sqrt(4) + sqrt(7))) + (2*sqrt(77)*2 + sqrt(77))\/(-2*sqrt(11)*-2))**2.\nAnswer: 270*sqrt(7) + 11503\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 o when four letters picked without replacement from rnnrrnrrnor?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -60. What is the remainder when x is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/10 + 43*a**5\/20 + 59*a**4\/8 + 6*a**3 - 14*a**2 - 32. Suppose p(f) = 0. What is f?\nAnswer: -1, -1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - -7 - (2 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-1)\/(-5) - 2002\/(-65)). Let h = w - -35. Let i = 1 - -10. Solve -i = -c - h*s, 3*s + 1 - 11 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {n: 4, m: 8, z: 2, b: 1, c: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27525 + 5752759\/209. Let d = h + 4\/209. Sort d, 0.1, -5\/2 in descending order.\nAnswer: d, 0.1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 433, 440, 461, 502, 569, 668, 805?\n\"Answer: s**3 + s**2 - 3*s + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 959533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 568 + 572 = -4*o, 2*o + 6 = 3*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 11}. What is prob of sequence kk?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 7*x**2 - 60 - 14*x**2 - 15*x**2 + 28*x**2.\nAnswer: -2*x**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -g - 11, 3*s = -s + 5*g - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 a factor of 20061772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*m - 320*m = -766*m + 73056 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 4*q**2 - 3*q**2 + 5*q**2 + 237*q to the form f + o*q**2 + x*q and give x.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 2*n + 7. Let g be m(2). Calculate the common denominator of 11\/12 and 1 - 1569\/282 - g.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 32 = 3*p, -2*p - 17 + 1 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6509\/1015 - 267\/145. Determine t so that -w + 0*t**3 + 16\/7*t**2 - 2\/7*t**4 + 0*t = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 50*h**2 + 15872*h\/5 - 30752\/5.\nAnswer: (h - 124)**2*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5796, -8, 13 in descending order.\nAnswer: 5796, 13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 571373093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4479 + -4484. Which is smaller: -20\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 140\/63 - (-2 + 4). Sort o, -0.5, 0.3 in decreasing order.\nAnswer: 0.3, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96837 to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4299196*j**3 - 2*j - 109559529?\nAnswer: 12897588*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 35*l**5 - 30*l**2 + 233. Find the second derivative of d(m) wrt m.\nAnswer: 2100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -162, 0.3, -13\/4, 5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 2*y**4 - 5*y**3\/2 + 219*y**2. Is 9 a factor of v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*a + 2*n, -2*n - 33 = -3*a + 28. Suppose -a*p = -19*p - 68. Suppose 14*v + p = 16*v. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 745129*s - 745129*s + 0*s**2 + 2*s**2 - s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.476784m to nanometers.\nAnswer: 2476784000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-258)\/(-8) - 6\/(-24)*3. Suppose w = -c + 30. Let x(f) = f**3 + 3*f**2 - 5*f - 6. Let a be x(-4). Sort c, a, 3.\nAnswer: c, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -399*u**2 + 12*u + 6. Let i(k) = 799*k**2 - 26*k - 13. Determine -6*i(r) - 13*s(r).\nAnswer: 393*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 8 - 42)*(-12*u - 22*u + 19*u)*(3 - 3 - 5*u) to the form i*u + k + n*u**2 and give n.\nAnswer: -3000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**2 - 1. Let y(b) be the first derivative of -25*b**3\/3 + 2*b + 2750. Determine a(y(h)).\nAnswer: 10625*h**4 - 1700*h**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64*((-2067)\/78 + 26).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 282200 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 2*a)*(-13 + a + 13) + 2*a**2 + 0*a**2 - 4*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2 (b) -15.194 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1169, -4850, -10985, -19574, -30617?\nAnswer: -44114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*i = 395*i - 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (968\/(-240) + 4)\/(6\/(-345)) and -167\/1218.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000704808 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-21)\/(k*k*k**(2\/17))*(k\/k**(-13))\/k**(-12\/7) assuming k is positive.\nAnswer: k**(-881\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2947230 divided by 589446\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 5}. What is prob of sequence xbb?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -11*l - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 3*q**3 - q - 5*q**3 + 22609*q**4 - 1 - 22601*q**4 to the form k*q**3 + d*q**2 + p*q**4 + v*q + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 - 29548*a + 218271076 = 0.\nAnswer: 14774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1*(0 + -1)). Suppose 5*m + d*h - 7*h = 32, -m = -h - 7. Suppose -251*l = 267*l - 486*l - 192. Solve 5*w - m = l*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -1 - (-2 + 2). Let h(b) = 6 - 2*b + l*b + 0*b. Give h(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50365656079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 484, 480, 500, 556, 660, 824, 1060, 1380?\n\"Answer: 2*k**3 - 18*k + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kktkkttkkkttkttk. What is prob of sequence ktkt?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0, -15 in decreasing order.\nAnswer: 4, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 3*a - 5. Let b(d) = -d**3. Let u(m) = 5*b(m) - v(m). Let w(t) = t**2 + 212*t - 2. Let i be w(0). Is 47 a factor of u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-5)\/q*q)\/q**(3\/5))\/(q**(-1))**(-7\/3))\/((q**1)**5)**(13\/6) assuming q is positive.\nAnswer: q**(-563\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -22 + 13*y**2 + 17750*y - 17757*y + 3. Let t be s(-2). Solve 0 = -11*f + t - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.01 or -125734?\nAnswer: -9.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 - -142. What is the hundreds digit of (i\/(-2))\/((-29)\/(-6206))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 5}. Give prob of sequence ft.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51687453 and 1437.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-36))\/((-1)\/2)*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-18) - 2\/12. Which is the third smallest value? (a) k (b) 0.07 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53822*a*s**3 + 5*s**3 - 39*s + 1 wrt a?\nAnswer: 53822*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 - 3.91. Let k = -1688.4 - -1688.4. Which is the closest to k? (a) 0.1 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6457, -12916, -19377, -25840, -32305, -38772?\nAnswer: -45241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:04 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1325210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -1182*a**5\/5 - a**3\/3 + 1645*a**2\/2 + a + 2067. What is the second derivative of l(u) wrt u?\nAnswer: -14184*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 115. Calculate the remainder when m is divided by (-1)\/(-3)*0 + 23 + -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-2 - (-14)\/4). Let u = -2.03 - -21.63. Let b = u + -20. Sort -4, j, b in descending order.\nAnswer: b, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13 = 4*j, -3*d - 11 = -0*j - 2*j. Let w(t) = -t**2 - 2*t. Let q be w(j). Solve -p = -5*g - 0*p - 2, 2*g + 2*p + 8 = q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x - 1 + 3*x**2 - 10*x + 7*x - 2. Let r be b(2). Suppose 2*p - 3*p = -r. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.63454 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 0.3, 2\/13, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 280\/(-112)*2052\/(-10). Let k be 3\/(-4) - w\/(-108). Solve -i - k*i = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/3)*h\/(h\/(h\/h**(-1\/4)*h))*(h**(-1\/8)*h)\/(h**(3\/5)*h))\/((h*h\/(h**0*h*h))\/(h**(2\/7)\/h))**(-2\/19) assuming h is positive.\nAnswer: h**(52139\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)*(-282)\/(-376)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/11 - 29474*w**3\/11 + 218791380*w**2\/11 - 23718066264*w\/11 + 46561202784\/11 = 0.\nAnswer: 2, 108, 14682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9085 - -9116. Let d = -1 - -3. Suppose q - 163 = -d*i, -2*q + 14 = 3*i - 307. What is the remainder when q is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-135)\/(-9)*42\/10. Let o = r - 33. Let z(a) = 3*a**2 - 62*a + 433. Calculate the remainder when z(11) is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o = 23*o + 2*d - 8, -2*o - 1 = -d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*s - 707*s - 683*s - 243*s - 705*s + 3048*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvahvdvatvh. What is prob of picking 1 a and 2 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o = -67*o - 5*d - 1091, -2*d = 8. Calculate the greatest common factor of o and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2 - 5*g + 7 + 17*g. What is the units digit of u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1243.4 + -1243. Sort 0.06, w, -0.4 in increasing order.\nAnswer: -0.4, 0.06, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1700 = -9*o + 13*o + 5*u, -u = -2*o + 836. List the prime factors of o.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebn when three letters picked without replacement from nbnbneenennenee?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 111 - 261 = 0. Suppose l = 4*u + u. What is the lowest common multiple of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 1. Let h = -0.1 + c. Let k = h - 0.4. Put k, 3, -0.3 in ascending order.\nAnswer: k, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(22)\/sqrt(2) + sqrt(11))*4)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*q**2 - 10*q**2 - 249*q**2)*(-2 - 10 + 3)*(-3 + 4 - 3 - q).\nAnswer: -1962*q**3 - 3924*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 48*g - 185. Let r be c(53). What is the greatest common divisor of 60 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 16 - (6 + 1 - (-13 + 8))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j. Let s be 3 - 0 - (-3 + 8 - 4). Let t(w) = 6 - 11*w**s - 6 + 7*w**2. What is l(t(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -509 or -510?\nAnswer: -510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3043204114 - 3?\nAnswer: -3043204122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 678 = -183. Let g(m) = 23*m**3 + 2*m**2 + 17*m - 20. Let v be g(1). Calculate the greatest common divisor of v and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 + 171 = -28*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 343, -5, 13, -21, 3, 0 in descending order.\nAnswer: 343, 13, 5, 3, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7144, 30060, 68246, 121696, 190404, 274364?\n\"Answer: -x**3 + 7641*x**2 - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -362, -542?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4990671, 4990672, 4990673, 4990674, 4990675?\nAnswer: 4990676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -493? (a) 1.8 (b) 2\/13 (c) -1 (d) -11 (e) 6\/7 (f) -9\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 785 - t - 307 - 2*t**2 + 683 - 4*t. List the prime factors of v(0).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55400000 rounded to the nearest one million?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 + -5701775974\nAnswer: -5701775974.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -5\/279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*w = 3*w + 468*w - 10177 - 22799 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, -3*i + 10 + 14 = -5*t. Suppose 2*r - 368 = -2*v, 912 = i*v - 3*v - 3*r. List the prime factors of v.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.121 to 1 decimal place.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 1, 11, -1, 34, -5.\nAnswer: -33, -5, -1, 1, 11, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 + (-1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8. What is the smallest value in -4, w, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 14*x - 8\/3*x**3 + 0 - 5\/2*x**2. Differentiate r(a) with respect to a.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 3*m - 2. Let j be p(-2). Suppose 15*w = 11*w. Let o = j - w. Solve 2*z + 6 = o, -2*z = -0*r + r + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 4.3 in increasing order.\nAnswer: -2, -0.1, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 8. Let j(d) = -q + 8 + d. Let b(s) = s. Let v(p) = -2*p. Let l(t) = -7*b(t) - 3*v(t). Determine j(l(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14168b (base 15) to base 3\nAnswer: 1211010002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 + 5*z**2 - 5*z. Let b(a) = a**3 + 3*a**2 - 3*a. Determine 10*b(o) - 6*f(o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {p: 6, n: 3, x: 2, f: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1272 and 95188.\nAnswer: 571128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 10 = -3*t, -1 = 2*t + z + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/6)\/((-1)\/(-3)). Let q = h + -8. What is the smallest value in q, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 2542.\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -22*n - 70, -3*m + n - 12*n + 9*n + 4 = -10 - 6 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajuaaxxjajjpuxzxj. Give prob of picking 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -13 + (11 - (1 + -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1709.921 and -0.008?\nAnswer: -13.679368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286043 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -8427542.\nAnswer: -8427542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4298 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -43*m**2 + 2855*m. Let a(x) = -2*x**2. Calculate w(a(d)).\nAnswer: -172*d**4 - 5710*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**5\/20 - g**4\/12 + g**3\/6 + 8*g. Let m(n) = -7*n**3 - n**2 + 13*n. Let x(h) = -6*f(h) + m(h). Determine x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/10)\/(8\/10). Let u(t) = -t + 10. Let i be u(8). Which is the closest to i? (a) -1\/3 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = 6. Let r = 0 - y. Let -1\/3*j + 0 - j**r - 1\/3*j**4 - j**3 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 30*w - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 18 - 2. Solve -x*m + a = 6, a + 2*a = -m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58503478?\nAnswer: 2, 11, 43, 61843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 8 + 6. Let m(i) be the first derivative of -6*i - 3 - 1\/2*i**w. What is m(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -27.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4\/45, -11, -3, 0.2, 5 in increasing order.\nAnswer: -11, -6, -3, -4\/45, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 6. Let v = 1293 - 1294. Put -5, 2, s, v in increasing order.\nAnswer: -5, s, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = -21*j + 1190. Calculate the highest common factor of j and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -4\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 108025 divided by -3725?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g**2 - 2217*g - 9899. What is o(-217)?\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let r = -62 - -129. Let q(y) = -r - 74 - 3*y**2 + 141. What is q(m(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44277466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.41 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33109979.99887 - 33109843. Let f = k + -137. Round f to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167039.6l to millilitres.\nAnswer: 167039600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82003 + 114936. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 7*p**2 + 2*p + 9. Let d(g) = g**3 - 7*g**2 - 3*g - 10. Let a(v) = -3*d(v) - 4*i(v). Let x be a(7). Solve -3*y - 3 = n + x, 0 = 2*n - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 451451 - -1?\nAnswer: 451452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-15)*(-9450)\/3780?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*q = -76*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1052 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -13. Let g = j - 6. Let q be (-4 + 1)\/(g\/(-6)). Solve 3*c + 12 = q*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*y + 75, 4*y + 548 = -4*x + 648 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*h = h - 56, 0 = -4*i + 3*h + 108. Suppose -5*y + 155 = i. What is the least common multiple of ((-20)\/y)\/((-2)\/15) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183964354.\nAnswer: 2, 7, 31, 83, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30613.7 micrograms to kilograms.\nAnswer: 0.0000306137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*l**2 - 5*l - 204*l**3 + 89*l**2 + 3*l in the form r*l**2 + v + x*l + u*l**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(74\/111).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 75*b**3 - 2*b**2 - 2*b + 4. Let o(q) = -73*q**3 + 2*q**2 + 4*q - 5. Determine 3*l(r) + 2*o(r).\nAnswer: 79*r**3 - 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 335 or -218866?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d. Let c = -4 - -7. Let z = c - d. Solve z*o + 2 = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from {q: 3, a: 2, i: 1, v: 3, w: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 - 2*z**4 + z**4)*(-z + 3 - 3) - z**5 + z - z + 2*z**5 + 2*z**5 - 2*z**5 - 3*z**5 + 0*z**5 + 5*z**5 + 49916*z**2 - 49916*z**2 - 260*z**5.\nAnswer: -259*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367642459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 4*v + 2. Let o be n(-2). Suppose 5*t + 3*b + 46 = 3*t, b = o*t + 30. Let d = t + 32. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6))**(-1\/57) assuming w is positive.\nAnswer: w**(-1\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 11:24 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v**3 + 0*v + 0*v**4 + 1\/3*v**5 + 0*v**2 + 0.\nAnswer: v**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 63794.17ml?\nAnswer: 63.79417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 0.154?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -561 + 561 + 108*c + (c + c - 4*c)*(1 + 3 - 2) to the form o*c + l and give o.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11578 - 7435. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599 - 5.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y, 3*k + y = 6*y + 12. Solve 5 = 2*d + 3, p = k*d - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111567.902 rounded to the nearest 10?\nAnswer: -111570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-30355)\/(-615) + 5\/(-205))\/((-2)\/3)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013142 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + 2*c**2)*(2*c**2 + 5*c**2 - 5*c**2) + c**4 - c**4 + c**4 - 60*c**4 + 68*c**4 + 31*c**4.\nAnswer: 44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000267183454 rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13185629.\nAnswer: 83, 158863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5282847 divided by -621.\nAnswer: -8507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95460.7kg to tonnes.\nAnswer: 95.4607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Suppose 0 = -51*u + 45*u + 36. What is the second derivative of 15*y**4 + u*y**5 - 17*y - 15*y**q wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 25*v - 194. Is t(-18) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -360, -584, -860, -1188, -1568?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 - 10 = 0. Suppose -x = -0*w - w. Suppose 12 = q + 3*q. Calculate the remainder when w is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**3 - 629*w**2 - 152*w + 763. What is s(-157)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - b = -6, 5*b = -84*k + 85*k - 46 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 30 + 13. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11117 + -10913. Calculate the remainder when 466 is divided by m.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 6. Suppose -x*k + 4 = d - 15, -5*k + 45 = -5*d. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s - 1. Give l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -69, -165, -311, -513, -777?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 + -35 - (-53 + 38)) + -158?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(567)*-2 + -2 + sqrt(567))*1)**2 + 4.\nAnswer: 1296*sqrt(7) + 20560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouiiouuouiocouc. What is prob of picking 1 c and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23024300?\nAnswer: 2, 5, 13, 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*k - 901*k - 326040 = 0. List the prime factors of k.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 30*u**2 - 4*u + 5. Determine g(2).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 251 or -4?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -25. Let z(y) be the third derivative of y**5\/30 - y**4\/6 + 5*y**3\/6 - 4*y**2. Calculate the least common multiple of b and z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (8\/32)\/(1\/4). Suppose -5*u = v - 3*v - 16, -4*v - 4 = d*u. Solve -u = -t + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Suppose -d = -2*p - 4*x, 4*p - 4*x - 20 = -0*x. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 - (-7310)\/1935.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255148625 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.7425284 to three decimal places.\nAnswer: -5.743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 16*d + 13. Let z be (-2)\/(33\/63 + 6\/(-9)). Let o be n(z). Find the common denominator of (o\/50)\/((-24)\/(-110)) and 41\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvqvvvqvqv. What is prob of sequence vvqv?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -18. Suppose -938 = -3*m + p. List the prime factors of m.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1394624 and 61\/105.\nAnswer: 20919360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 62*m**2 + 62*m + 51. Let y be t(-30). Is 31 a factor of 5*14\/105*y - -452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -180*o**2 - 54652*o + 20677. Determine h(-304).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 4*k. Calculate y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001 (base 3) to base 9.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*m - 9 + 28, 5*m - 15 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 3) + -1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 * -0.9\nAnswer: 63.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:56 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13662?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + 1 - sqrt(11))*-6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3 + 0*a - 2\/3*a**2 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:38 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201114 (base 5) to base 16.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 13*u**2 + u - 14. Let v be g(13). Let i be v + ((-13)\/5 - -3). Sort -4, -5, i in descending order.\nAnswer: i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329 - 331. Put l, -2\/7, -2\/5, -5\/3 in descending order.\nAnswer: -2\/7, -2\/5, -5\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a8 - -1938?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*(-7)\/105)\/((-5)\/75). Solve -f*v = 0, -s + 3*s - 6 = -v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = -3*w, 4*w + 12 = 4*r. Let c be (r\/4)\/(-3 + 4). Suppose 3*q + 4*o - 11 = 0, q + 3*q = 2*o. Put 0.3, c, q in decreasing order.\nAnswer: q, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4500 and 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 70f?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 - 140. Suppose r = 5*r - 16. Solve r*d - 2*d - 8 = v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -21 - (6 + 17 + -19 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6572 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. What is the third derivative of -2*b**h + 0*b**5 + 0*b**2 + 5*b**5 - 3*b**5 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*r = -3*n + 46, -2*n + 8 = 5*r. Suppose n + 5 = 2*k. Let d = 17 - k. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 43\/2. Let g be (-3)\/(-6)*9\/(-7). Let n = -8\/7 - g. Do v and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -186 and -463.\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - (-68 + 97 - 48)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*i - 16 = 0, -50*i + 46*i = 2*t - 18 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 6\/(3 + -1) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.535 - -0.835. What is the third biggest value in t, -5, 151?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 120. Let k be (-4 + (-52)\/(-16))\/(1\/(-4)). Suppose 33 = 4*a - k*l, 0*a - 4*l = -2*a + 24. What is the greatest common divisor of x and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 143, 198, 237, 254?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19526 + 312.14474. Round c to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2323000 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*s**6 - 33*s**4*z**3 - 194*s**2*z - 2*s*z**3 wrt s?\nAnswer: -1440*s**3 - 792*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 6*y**2 + 4*y - 14. Let c be p(6). What is the highest common divisor of c and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 8:57 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*k + 5 = -55*k - 3*o, 2*k - o = -10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 298\/53?\nAnswer: 298\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 5*u**2 + u**2 + (-2 + 2 + 2*u)*(5*u - 2*u - u) + 19*u**2 + 4*u**2 + 3*u**2.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y**2 + 67*y - 34. Determine g(8).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b0 + 31a?\nAnswer: 4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/(-14) - (-4)\/14. Suppose -4*n + 5*o - 25 = -0*n, i*n + 30 = 5*o. What is the remainder when (-118)\/(-5) - 2\/n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnjgjj. Give prob of picking 4 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -3)\/(18\/1422). Calculate the highest common divisor of 12 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.03, 0.3, -4.6, -1\/4, -3.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 3}. What is prob of sequence gg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3 - -3)\/(52 - 50)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5 - 9 - (0 - 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1518\/1287 + 4\/26)*7269?\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*t - 9 = y - 427*t, -67 = -5*y + 3*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - (-9 + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 1 (c) -1\/7 (d) 2\/33 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 580*r**3 - 19760*r**2 + 162240*r = 0.\nAnswer: 0, 12, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11592797*l*w**2 + l - 34903288*w**2 wrt l?\nAnswer: -11592797*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -1) + (38 - -39 - 64)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -224*a**5\/5 - a**4\/24 - 77*a**3\/3 + 703*a**2. What is the second derivative of l(x) wrt x?\nAnswer: -5376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5481.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 532313765 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 - 155 + 2610*x**2 - 2613*x**2 to the form j*x + z*x**2 + c and give c.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**32*o*o*o))*o**(-19))**(-43))**45 assuming o is positive.\nAnswer: o**(-30960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -22, -19, -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -616*r + 7375. Give y(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/11 (b) -0.4 (c) -9 (d) -5 (e) -6\/7 (f) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05132712707 rounded to four dps?\nAnswer: -0.0513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from {y: 1, c: 2, e: 1, w: 1, l: 4, d: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 4*y - 2. Let h(b) = -3*b**3 - 11*b + 6. Let a(i) = -3*i - 1. Let m be a(1). Determine m*h(s) - 11*f(s).\nAnswer: s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396 is divided by 1367?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48191 - c**2 + 48191.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 5 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2875541, 2875565, 2875587, 2875607, 2875625?\nAnswer: 2875641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence issi when four letters picked without replacement from ssisisssssis?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-5 + -3 - (sqrt(78) - (sqrt(78) - (sqrt(78) - sqrt(78)*-2)))\/sqrt(6))**2.\nAnswer: 48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 4 - 8. Let q(h) be the second derivative of 17*h - 7*h**2 + 10*h**2 + 4*h**u + h**4. Differentiate q(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2641 + 4190. Suppose 0 = -5*v + c + 691. Differentiate -26 + 229*r + 224*r - v*r wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-100)\/(-16))*(-1335)\/(-1602).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -11. What is the remainder when x is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-15)*(-9)\/(-2). Suppose -z - 432 = -5*z. What is the highest common divisor of a and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 9 - 9)*(7*b - 16 + 16) + (4*b**2 - 4*b**2 - 2*b**2)*(4*b + 3*b - 5*b).\nAnswer: -39*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = z - 75, z + 10*o = 5*o + 85. Calculate the greatest common factor of z and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 266, 421, 596, 797, 1030?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 8:25 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7*h)\/h*h\/h**(-18))**(41\/5) assuming h is positive.\nAnswer: h**(1066\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/4 of a hour?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -36. Suppose 4*t - 44 = -5*q - 6, -2*q + 4 = 0. What is the third derivative of -d*x**4 + t*x**2 + x**2 - x**2 wrt x?\nAnswer: -264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -423*t. Let y(p) = 9*p - 315339 + 315339. Calculate c(y(g)).\nAnswer: -3807*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 16*j + 10. Determine k(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -1)**2 - (sqrt(19) - -1*(0 + sqrt(19))).\nAnswer: -6*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*y + 541*y - 43948800 = 0. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173771969 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {r: 2, a: 1, x: 1, i: 1, d: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1233313003300?\nAnswer: -1233313003303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/63 and 89\/2331.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 119 = -429. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33458 is divided by 33440?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-31)*v**12)\/((v\/(v\/(v*v**(11\/4))))\/v**(5\/7)) assuming v is positive.\nAnswer: v**(-589\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 24*t - 2. What is the smallest common multiple of s(9) and 5?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) + -1)*2)**2*4.\nAnswer: -96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933.733 nanoseconds to milliseconds.\nAnswer: 0.000933733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 3\/77, 5462, -5 in increasing order.\nAnswer: -5, 3\/77, 2\/9, 5462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1551, 3433, 5315, 7197, 9079?\nAnswer: 10961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -580502*f**3 - 130371*f wrt f.\nAnswer: -3483012*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 14. Let q be p + (((-4)\/4)\/1 - -2). Suppose 9*x - q = 4*x. Calculate the greatest common divisor of x and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455 - 427 = 42*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-337)\/(-9)*2 + (744\/3472 - (-39)\/(-378)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2.6 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(684)*-5*-1.\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**3 - 5*f**2 - 5*f - 1. Let p(o) = 6*o**3 - 4*o**2 - 4*o. Let j(t) = 5*n(t) - 6*p(t). What is j(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**2\/2 + 30. Let c(i) = -5*i. Determine y(c(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y = -3784 - 1039 - 2173. What is the least common multiple of y and 204?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*q + 155, -2*q - 58 - 6 = 2*c. Let u = q + 31. What is the least common multiple of u and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 19*c = -23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 38*w**2 - w - 1. Let t(z) = -z**3 - 2*z**2 + 2*z + 3. Let m be t(-2). Let a be b(m). Suppose -a = -5*h + 32. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 2.873146.\nAnswer: 17.238876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 9*u + 3*m, 29 - 7 = -u + 4*m. Solve 0 = -b - 2*g + 3, -u = 3*g + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3)*-4)\/sqrt(4).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 32 = 0. Suppose -g*b + 20 = -20. Suppose 0 = -5*l - 5*j + 690, b*l - 1017 = -j - 339. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19915 - -19924. Let r(i) = 7*i**2 - 13*i + 9. Let t(n) = -3*n**2 + 6*n - 4. What is l*t(w) + 4*r(w)?\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3175*c**2*u**2 + 178*c**2*u + 4*c**2 - 428*c*u**2 + c*u - 215*u**2 + u + 1 wrt c?\nAnswer: 6350*u**2 + 356*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17515 is divided by 5774?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -63. Suppose -424 = -11*h + g. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*m - 22*m + 154. Let b be (-4)\/22 + 986\/m. Let v = -3 - b. Calculate the greatest common divisor of 105 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214115 and 747685?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.053, 0.1, -1\/12, -4\/7, -38?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 144*z + 3882. Determine y(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g = 30. Let d = 13\/2 + g. Let l = 0.3 + -0.6. Sort l, -0.1, d in increasing order.\nAnswer: l, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2044031 + -10?\nAnswer: 2044021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = -0*c. Suppose -3 = -c*u + u. Suppose i + 2*m - 53 = m, u*i + 2*m = 159. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 7*r - 7. Let n be z(-4). Solve 0 + n = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 31, -67257 in increasing order.\nAnswer: -67257, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 14. Let o(k) = -2*k + 1. Let c be (-2 - -9) + -2 - 2. Let s(d) = 5*d - 3. Let q(v) = c*s(v) + m*o(v). Determine q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 9*d**2 + 9*d - 6. Let h be q(8). Suppose -35 = -5*r - b, r = h*b + 29 - 11. Let s = r + 16. Calculate the remainder when 70 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, v: 2, u: 4}. Give prob of picking 2 u and 2 t.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27984)\/1060*25\/10.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-1)\/(-2))\/((-11)\/22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -29820, 5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -22. Solve 0 = 2*r + 3*x + 16, l*x = 5*r - 0*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -130\/9, 1, 5, -4 in descending order.\nAnswer: 5, 1, -1\/2, -4, -130\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -11220.7 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39300 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 - 4*g**3 + g**2 + 1 - g**4 + 5*g**3 in the form j*g**4 + z + b*g**3 + m*g**2 + q*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3554639585 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -55 (b) 0.2 (c) -355 (d) 0.4 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -9 + (-3 - -38)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3 + 2 + 3 - 14*u. Let l be b(3). Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/14)\/((-86)\/(-301))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70205.\nAnswer: 5, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -26. Suppose l + a = 2*d, -4*l + 2*d = -0*d + 22. Sort 5, -1, l in decreasing order.\nAnswer: 5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Suppose -u = -x*a + 2*u + 21, a - 8 = -2*u. Solve 0 = o - 2 + a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 479, 481, 485, 491, 499, 509, 521?\n\"Answer: v**2 - v + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*r**2 - 11372719*r + 11372719*r + 146*r**2.\nAnswer: 330*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -94*b + 3. Let f be o(1). Let j be -1 - ((-6)\/(-39) + 105\/f). Let z = 7 - 2. What is the nearest to 1\/3 in -2, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5\/3 + 502751*q**4\/3 - 21062962619*q**3 - 189576215903*q**2\/3 + 631891895194*q\/3 + 505523169032 = 0?\nAnswer: -4, -2, 3, 251377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32484660\/3307 + -9823. Let r = -300915\/72754 + o. Find the common denominator of r and -3\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 5201565?\nAnswer: -2080626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x - 2478 = -5*l, 3*l - 4*x = 1497. Let m be (4\/(-6))\/((-3)\/l). Suppose m = 5*r - 2*d, 0 = -3*r + 4*d + 105 - 25. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16013124 divided by 228\nAnswer: -70233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 47. Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 29*z**2 - 12*z - 29. What is the tens digit of l(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -13158, 4 in descending order.\nAnswer: 4, -2, -5, -13158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.2 * 21.7693.\nAnswer: 875.12586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -45805?\nAnswer: 45809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*p - 6, 0 = -5*x + 6*p - 3*p - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -11*s + 68. Let u be 5*2*(-1)\/5. Let b = u + 13. Calculate the remainder when b is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1937900922 to the nearest integer?\nAnswer: 44022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 453 and 0.11?\nAnswer: 452.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229341 is divided by 22905.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.84 + 13.84. Let w = 11.8 + -11. Let c = 0.3 - w. Put 0.5, q, c in increasing order.\nAnswer: q, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 - 2*s - 7. Let v be a(3). Let m(k) = k**3 - 34*k**2 - 25*k + 33. Is m(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17\/8)\/((-159)\/(-2544)))\/(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**2\/4 + 23*x\/4 - 3.\nAnswer: (x + 3)*(9*x - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 0*u**2 + 7*u**2 + 10*u**2 to m*u + b*u**2 + k and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) + 7\/3. Suppose -27 = -3*j - 2*n + p, -2*j = -2*n - 30. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4636*t - 941110. Calculate y(203).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = p - 15. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -767117028.3 from -0.5.\nAnswer: 767117027.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by 4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -224, -416, -682, -1046?\nAnswer: -1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2148570 + -4\nAnswer: -2148574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -856319050.3.\nAnswer: -856319049.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**2\/2 + 11*w + 10. Let d be o(-8). Put 0, d, -2 in decreasing order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.714 times -1124\nAnswer: 34522.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2637.1545 to 0 decimal places.\nAnswer: -2637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*t + 5*o + 31, t - 13 = 3*o. Calculate the greatest common divisor of 112 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = -18. Let p be (-33)\/(-18) - (-8)\/48. Calculate the least common multiple of s and 25\/p*4\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214789 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 - 3 = 0. Suppose 11*l - g*l - 10 = 0. Let i(d) = d**3 + 2*d**2 - 3*d. Let j be i(-3). Solve -8 = -l*t - j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50753 - -5?\nAnswer: 50760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -81*a + 5. Suppose -29 = -y + 5*i - 0*i, -41 = -4*y + 5*i. Let l be j(y). Let d = -150 - l. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61613656 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58c631 + -1?\nAnswer: -58c632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 27*y**2 - 2107*y + 5. Let s(q) = -11*q**2 + 1054*q - 2. Give 2*a(u) + 5*s(u).\nAnswer: -u**2 + 1056*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14841, 116, -2 in decreasing order.\nAnswer: 14841, 116, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/50*(-24)\/(-20)*-5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5\/4 - 3093*o**4\/4 - 12099*o**3\/4 + 232209*o**2\/4 + 582309*o\/2 = 0.\nAnswer: -1027, -7, -6, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 8*q - 10. Let i be ((-15)\/(-10))\/(1*q\/(-8)). Solve -i*y - d + 3*d = -18, 3*y = 2*d + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*128767\nAnswer: 1287.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11233462 and 16499?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8650, 8656, 8658, 8650, 8626, 8580, 8506?\n\"Answer: -a**3 + 4*a**2 + a + 8646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 2:52 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43063 + 28738. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.88, -307\/19, 12?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**3 - 160*k**2 - 231*k - 3717. Calculate x(-26).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224 divided by -4.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -46. Let l be 1*(-3)\/(-9)*r. Suppose 2\/3 + l*u**2 + u = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {l: 14, s: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2 - 8*q - 10. Let o be m(-7). Calculate the greatest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15463769 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Suppose -3*f + 3*y = 15, 0 = -z*y + 7 + 2. What is the third biggest value in f, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/109752 and -5\/459.\nAnswer: 987768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/943, 0.4, 5, -3, -2\/11 in increasing order.\nAnswer: -3, -2\/11, 2\/943, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r - 4. Let o(b) = 13*b + 5. Let k(z) = 5*a(z) + 4*o(z). Let d(f) = -f + 3. Let h(y) = -4. Let q(l) = 4*d(l) + 3*h(l). What is q(k(w))?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b - 16. Let z be ((-12)\/(-9))\/(b\/(-294)). Suppose -4*x + 270 = z. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 150.51162 milliseconds?\nAnswer: 0.002508527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 55.89.\nAnswer: 391.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/5)\/(1\/251). Let s = -358 - z. Let c = -31 - s. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1241034, 2482099, 3723164, 4964229?\nAnswer: 6205294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1105643 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.000012 - 33. What is z rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 24*c - 21. Give z(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 928190786 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(sqrt(252) + (2 + sqrt(252) - sqrt(252)) + sqrt(252))*2 - (-2*sqrt(252) + 1 + sqrt(252) + (sqrt(252)*2 + sqrt(252))*4 + 1))**2.\nAnswer: -216*sqrt(7) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-45) + (-94)\/(-30). Suppose q - d + 16200003 = 0, -q - 9544369 - 6655640 = -m*d. Round q to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/(-110))\/((-9)\/396*4). Suppose 4*y = -3*n + 8*n - 13, -3*n - 4*y = -27. Sort -5, 12, f, n in decreasing order.\nAnswer: 12, n, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = -48*w + 300. Let s(j) = -2*j + 8. Let d(t) = t - 8. Calculate w*s(x) + 5*d(x).\nAnswer: -3*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81 from 0.001.\nAnswer: -80.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + ((-471)\/6 + 0)*-998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 184296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 571 = -8*r + 3*r, 0 = 5*q + 3*r - 963. Let n = q + -178. What is the highest common factor of n and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) 44 (c) 0.029 (d) -1\/76 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 243072*q - 729234.\nAnswer: 2*(q - 121539)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = b + r - 263, 0 = 3*b - r - 801. What is the smallest common multiple of 418 and b?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10962 divided by 3654?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**7\/5040 - s**5\/6 - 8*s**2. Let f(b) be the third derivative of q(b). Let i(g) = 4*g**2. Calculate i(f(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 633, 3\/5, 2\/5.\nAnswer: 2\/5, 3\/5, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 4. What is the nearest to 0 in 2, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 75. Let b = r + 119. Suppose u = 4*o - 88, -2*o + b = 2*u + 3*u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2918 is divided by 338?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1938459 and -27.\nAnswer: -1938486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24\/19 - -91\/57. Let k = 3 + 2. Which is the closest to 3\/2? (a) 1 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 61*g + 1278 = 101*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n**2 + 23*n + 1. Calculate m(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - -61. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 207\/2*t + 3969\/8*t**2 - 3\/2 = 0.\nAnswer: -2\/9, 2\/147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927148393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376575889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -393 - -793. Let n = -401 + u. Let p = -0.31 + 0.3. Which is the smallest value? (a) p (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3356 + 327. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(2\/3)\/h)\/h*h*(h*h**(-4))\/h*h*h)**(-12) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 6*c**2 - 7*c - 4. Let b(g) = 3*g**3 - 15*g**2 - 22*g - 12. Let t(r) = -3*b(r) + 8*p(r). Let o be t(-5). Sort o, -1, -2, 1 in increasing order.\nAnswer: -2, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/148214 and -15\/518749.\nAnswer: 1037498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18200*u = 17487*u + 4278 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:52 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*u - 100 = 0, h + 3*u + 65 = 3*h. Let m = 249 + -143. Suppose h = 5*j, -3*i - 2*j - 33 = -m. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2450071 divided by -823.\nAnswer: -2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prprpprrrprrprpprrp. Give prob of sequence rr.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 - 20*p**2 - 5 - 3*p + 27*p**2.\nAnswer: 16*p**2 - 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.1 (c) -56\/11 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -16. Suppose 0 = 4*u - 15 + 3. Let n(s) = -z - u*s**3 + 2*s + 5 - 1. What is n(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -10. Let t(n) = n + 7. Let x be t(k). Let r(g) = g**3 - 5*g**2 - 4*g - 1. Let c be r(6). Solve 3*u + 2*u - 5*j + 15 = 0, -c = x*u - 3*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 60\/13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20822474 to the power of 1\/2, to the nearest integer?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 44*x**3 - 20*x**2 + x + 4. Let y(p) = p**3 - 1. Suppose 8*g = 16 - 48. Let s(u) = g*y(u) - t(u). Find the third derivative of s(l) wrt l.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)\/k*k**(-5))**(7\/4) assuming k is positive.\nAnswer: k**(-259\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * -103.\nAnswer: -6283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 24. Determine w(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 301, 61.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-328)\/72 - -5)\/(22\/9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38336376 - 38336376 + 13008*a)*(-2*a**3 + 3*a**3 + 0*a**3) in the form i + j*a**2 + u*a**3 + f*a**4 + m*a and give f.\nAnswer: 13008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(77\/11))\/(3\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - t. Let k be q(1). Let f(z) = z**2 - 4. Let u be f(k). Solve 2*b + 8 + 2 = u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -211 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1. Let g be 5*(-7 + (-8)\/4 + 8). Which is the second smallest value? (a) -0.1 (b) g (c) z (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4*u**3 + 1158*o**3*u**3 - 60*o**2 - 10*o + 2*u**3 wrt o.\nAnswer: -48*o*u**3 + 6948*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 + 7*l - 4. Let d(a) = -3*a**2 - 6*a + 3. Suppose 2*u = 4*k, -26*k - 48 = -22*k + 6*u. Give k*f(j) - 4*d(j).\nAnswer: 3*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53166868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 95\/38 + 1\/(-2) + 0. Suppose 2*f = -z*h + 380, f - 756 = -3*f - 2*h. What is the remainder when f is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1996 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 - 9*k + 4. Let f(p) = -p - 21. Let b be f(-24). Let i be w(b). Solve -4*r - 2*t + 7 = -r, -14 = -i*r + 2*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1456.\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 19*b + 54. Give s(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 25, s - 7*m + 3*m = 22. Let h(x) = -s*x + 8 + 3*x - 4. Determine h(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149 and 38293?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - c + 26 = 0, -c + 10 = -5*o + 4*c. Let j be ((-168)\/(-36))\/(4\/o). Is -7 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-18)\/10) - 23\/(-2024)*392?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**2*q)\/q*q)**(2\/63)\/(q\/(q\/q**4)*(q**10\/q)\/q))**(10\/11) assuming q is positive.\nAnswer: q**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22843 divided by 1\nAnswer: -22843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 224 (b) -5 (c) 6\/13 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1106 and -119\/150.\nAnswer: 82950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(84)*5)\/(sqrt(132)\/(sqrt(11) - sqrt(704))).\nAnswer: -105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1358\/256773 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0350888954 and 3.\nAnswer: 3.0350888954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/87, -0.5, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + -2 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776381.\nAnswer: 59, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 839, 2925, 7105, 14105?\nAnswer: 24651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/2801 or -2868?\nAnswer: 20\/2801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22076, 88977, 200494, 356639, 557424, 802861, 1092962?\n\"Answer: 2*a**3 + 22296*a**2 - a - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-18)*8\/10 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 6. Let w = -1 + d. Let x be (11 + -3)*(5 + -2)\/(-6). Is w < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-62 - -61) + -2 + 1. Find the common denominator of (a - 58\/(-24))*(-1972)\/(-238) and -49\/33.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*n + 392*n = -15, 2*h - 4*n - 20 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9757\/26865 - 28\/135. Calculate the common denominator of k and 21.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412 times 20\nAnswer: -8240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199 + -200. Let a be 4\/(-14) - (-36)\/28. Sort a, s, 0.1, 4\/5.\nAnswer: s, 0.1, 4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(363) + (sqrt(363) - (-4*(sqrt(363) - 2*sqrt(363)) + sqrt(363))))*-2 - (2*-1*sqrt(21))\/(sqrt(7) + -1*sqrt(847)))**2.\nAnswer: 2632*sqrt(3)\/5 + 325123\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i - 3*u + 4, i + 3*u = 7. Let y(s) = -16*s**3 - 1 + 42*s**3 - 5*s**3 - 4*s**2 + 13*s**3 + 5*s**2. What is y(i)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*((-2)\/(-10))\/((-200)\/1250)*-20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69\/2 of a decade?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005704 to 7 decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide -5*(2 + -4) + 3086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 216388 and 0.05.\nAnswer: 10819.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729052299.\nAnswer: 3, 27001937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 3, 12 = 5*p + 3*d. Find the second derivative of -9*l**4 + 4*l**4 - 4*l + p*l**4 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1689*s - 50. Let g(i) = 844*i - 20. Determine 2*d(f) - 5*g(f).\nAnswer: -842*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 49 = 2*k - 5, -30586*t = -30583*t - 3*k - 24 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1\/6, 56, -66.\nAnswer: -66, -4, -3, -1\/6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*14*(-41)\/6888*(-4)\/10*6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 26*c**2 + 27*c - 7. Let d be j(-27). Let w(s) = s**3 + 6*s**2 - 5*s + 10. Give w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/3, 4, -0.12, -0.0886, -2?\nAnswer: -0.0886","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3 + 104*a**2 - 1536*a + 4608 = 0. What is a?\nAnswer: 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/27, 29, 3, -6, -0.018, 0.5?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, r: 1}. What is prob of sequence rd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(2\/3))\/k)\/k)**19\/((k*k\/(k\/(k\/((k**(2\/9)*k)\/k*k))))\/(k\/(k*k\/(k*k*k\/(k**7*k))*k))))**(-39) assuming k is positive.\nAnswer: k**(4615\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000085469204 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2, 17 in descending order.\nAnswer: 17, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -29. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 11 + 20 + -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p. Let v(u) = -13*u - 10. Let c(k) = 7*k + 4. Let t(r) = -5*c(r) - 2*v(r). Give t(m(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*-4 - 2942. Let o = r + 11659\/4. Calculate the common denominator of o and (6\/(-40))\/(9\/(-213)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 11. Let m be r(-8). Find the second derivative of 9*c + c**m - 2*c - 5*c**3 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -8. Let h be (-129)\/(-12) - 3\/i. Let b = -6 + h. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = s - 2*n, 23 = -2*s - 5*n + 7. Suppose -4 = 2*j - s. Calculate the remainder when 13 is divided by j\/1 - (-10 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 21. Suppose g*p = 16*p + 24. What is the least common multiple of 12 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204988 divided by 2\nAnswer: 102494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 51183*k**4 + 51187*k**4 - 176*k**2 + 172*k**3 + 2 = 0. What is k?\nAnswer: -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + (2 + sqrt(147))*-1 - (sqrt(147)*-3 + -1)*6))**2.\nAnswer: 23800*sqrt(3) + 1062475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 9*l**2 + 15*l - 8. Let q be p(8). Calculate the greatest common divisor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16708940*a**4 - 6378422*a**2 wrt a?\nAnswer: 401014560*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(132)*-3 + sqrt(132))*-5)\/((sqrt(84) + (sqrt(84) - (sqrt(84)*-3 + sqrt(84))) - sqrt(84) - sqrt(84))\/sqrt(7)*2).\nAnswer: -25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(sqrt(65) - (sqrt(65) + (2*sqrt(65) - sqrt(65)) + sqrt(65))))\/(((sqrt(200) - (sqrt(200) + sqrt(200)*2)) + sqrt(50))\/sqrt(10)).\nAnswer: -50*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 2*v**2 - 16*v**3 - 14 + 21*v**3 + 13 + 2*v - 13*v**4 to the form u*v**2 + w*v + z*v**3 + s + f*v**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110180 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 + b. Let k = 33 + -37. List the prime factors of x(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 - 741*d - 2178. Calculate s(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4417\/4 != -1105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -55 - 2*b**4 - 25 - 40*b**2 - 28*b**2 + 6*b**4 + 144*b = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1308, -5247, -11818, -21021, -32856, -47323, -64422?\nAnswer: -84153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77548381805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980865 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2368\/13 + -182. Put -4, -1, -9, p in descending order.\nAnswer: p, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1342062 and 10962.\nAnswer: 9394434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52058 + -13?\nAnswer: -52071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8)**(-50))**(10\/13) assuming f is positive.\nAnswer: f**(-4000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3215456 (base 11) to base 12.\nAnswer: -1a8a802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 121.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -22*f. Let u(m) be the second derivative of -11*m**3\/6 - 2*m. Let x be (-3 + 1)\/(5304\/2431*(-3)\/(-36)). What is x*u(b) + 5*r(b)?\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.8. Which is the smallest value? (a) 3 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*m**4 + 2*m**2*z - 2*m*z - 12*z + 2 with respect to m.\nAnswer: -36*m**3 + 4*m*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/((5*sqrt(88))\/sqrt(8)) - (4 + sqrt(605) + 3)) + 5)**2.\nAnswer: 216*sqrt(5)\/5 + 2936\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 1.4, 0.03 in decreasing order.\nAnswer: 1.4, 0.03, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -175 + 19. What is the common denominator of -45\/4 and (y\/(-28))\/(3 + -6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18220540 to the power of 1\/2, to the nearest integer?\nAnswer: 4269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let k be c(-1). Let d(q) = q**2 - 25*q + 126. Let y be d(7). Suppose l + k - 38 = y. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k - 3. Give x(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = 3*g, 8 = 58*g - 54*g + 4*s. Sort 2, 24, -5, g in decreasing order.\nAnswer: 24, 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-1)\/(-2)*20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.084 - -2083.084. Does -1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 20*m**2 - 40*m + 66. Let p be t(18). Let h be 4\/(-2) + -8*p\/20. Put h, 0, -7\/2 in decreasing order.\nAnswer: h, 0, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1799*b**3 + 696.\nAnswer: -5397*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 5. Suppose -w*t + 8*t = 50. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((0 + sqrt(72))*-2)**2 - (sqrt(72) + 1 + (sqrt(72) + (sqrt(72) - (sqrt(72) + 0)))**2 + sqrt(72))) + -2)*-1.\nAnswer: -60*sqrt(2) + 1065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.0582 + -0.0582. Let x = 227\/16 + 53\/16. Let l = x - 17. What is the second smallest value in 0, 4, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4035*b**2 - 10*b = 0. What is b?\nAnswer: -2\/807, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7958, 15356, 22754, 30152?\n\"Answer: 7398*b + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3149 and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -494949 divided by 12691?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 2*d**5 - 2*d**4 + (-5*d**3 + 3*d**3 + 0*d**3)*(0*d**2 - 2*d**2 + 4*d**2))*(-158 + 32 - 52).\nAnswer: 1068*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1 + -1)*7. Let t = 10 - f. Suppose -5*c + t + 17 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -2005, -6826, -16249, -31816?\nAnswer: -55069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 106044.\nAnswer: 1\/35348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 4:19 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*x = 157*x + 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 128*w + 101*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + d = 6*d - 10, -5*d + 10 = 2*w. Suppose 19*u - 16*u = 5*q - 24, q - 9 = 2*u. Suppose j - q*j + 82 = w. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 28*t - 33. Let w be n(26). What is the greatest common factor of w and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700541 and 506769.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x. Let d be w(-1). Suppose -4 - 4 = 2*k, -2*k - 26 = 3*v. Let z = d + v. Is z at most as big as 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/7 + 2004486*v\/7 + 334830343683\/7 = 0. What is v?\nAnswer: -334081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 2*d**4 + 2*d + (2*d - 2*d - d**2)*(-d**2 - 4*d**2 + 3*d**2) - d**4 + 2*d**4 + 0*d**4 + 54*d**4 - 16*d + 16*d.\nAnswer: 55*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0715 or -0.2?\nAnswer: 0.0715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201625*h**2*v + 22239*h*v + v - 5 wrt h.\nAnswer: 403250*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*(-22473)\/(-4767)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*a**4*h - 4*a**3*h**3 - 10*a**3*h + a**3 - 14*a**2 + a*h**3 - 282*h**3 wrt a?\nAnswer: -1008*a*h - 24*h**3 - 60*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*v**4 + 0*v + v - 1 - 18*v**4 - 22*v**4 + 3*v**3 + 0*v + v**2 in the form m*v**4 + t*v + z + r*v**2 + q*v**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9573 and -3.\nAnswer: 28719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 189155*b - 5481290.\nAnswer: -5*(b + 29)*(b + 37802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(847)*1)**2 + ((sqrt(28) - sqrt(7))*-2 - sqrt(7)) + -1)*-4.\nAnswer: -121964 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5846 less than or equal to -64320\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -134337 divided by -44779\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.169 + 0.331. Let f = 0.027 - 4.027. What is the fourth biggest value in 0.3, f, r, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j - 17. Suppose 3*a + 4*k = 61, -3*a + a - 2*k + 40 = 0. Suppose -a + 54 = -7*h. What is the tens digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*o + 4*v, 0 = -27*o + 22*o + 5*v - 0*v - 15 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 - 224390*g + 224393*g - 3.\nAnswer: 3*g - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:07 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.83 + -11.88. Let z(t) = t**2 + 36*t + 133. Let y be z(-4). What is the third biggest value in -1\/2, 0, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 3\/1)\/1. Let k(f) = -2*f**3 + 3*f**2 + 4*f - 1. Let v be k(t). Is v - (-2 - 1 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 3*o = 500899 - 500869, 3*l - 5*o - 24 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1373393994 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -30. Suppose 1 = -6*l + t*l. Let c be l\/(-4)*52\/13. Calculate the greatest common divisor of 11 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2*s**3 + 36 + 198*s + 12*s**2 - 246*s - 3*s**3 + 30. Factor z(c).\nAnswer: -3*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -40171 and -40008 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -592a38?\nAnswer: 592a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/((-20)\/(-8)). What is the closest to l in -4, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 712 and 2047.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w*w*w\/(w**(-7)\/w))**(-49)*(w**(-1)*w**(-2\/13))\/(w*w**(-7)*w*w\/w**(-1\/4)) assuming w is positive.\nAnswer: w**(-27893\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4879*r + 238. Let q(f) = 244*f - 12. Let w(o) = 6*p(o) + 119*q(o). Let z(j) = -2*j. Give z(w(x)).\nAnswer: 476*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6\/7))\/(l\/((l*l**(1\/13))\/l)) assuming l is positive.\nAnswer: l**(85\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n + 2. Calculate the remainder when x(-4) is divided by ((-48)\/(-8))\/((-6)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 85, 190, 333, 514, 733?\n\"Answer: 19*a**2 + 10*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccee. What is prob of picking 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*b - 14, 2*b - 8 + 12 = 4*y. Let 16\/7*w**y + 16\/7*w**4 - 4\/7*w - 4\/7*w**5 - 24\/7*w**3 + 0 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2076086 micrograms in tonnes?\nAnswer: 0.0000000000002076086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 1374 = 2460. Let u = 430 - r. Sort 0.4, 2\/19, 3, u in increasing order.\nAnswer: 2\/19, 0.4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(-3)*(-1488)\/(-124).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21632 + 151400\/7. What is the nearest to -4\/13 in -1\/5, l, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2316*u + 1191*u = 1340*u - 160225 for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.5 and 22.0362.\nAnswer: 4.5362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63325490 take away 0.3?\nAnswer: -63325490.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -919*c + c**3 - 2 + 0*c**3 + 920*c + c**2 to the form m + b*c + o*c**3 + n*c**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(9 - 5 - -28). Let g be (28\/(-4) + s)*1. Solve 10*l = 5*l + g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-64)\/24) - 7\/7*34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11706 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 279077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214231243420 + 0?\nAnswer: 214231243420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 + -0.47. Let p be (-2)\/(16\/(-184)) + (-4 - -1). Suppose 4*c + 12 = 0, h = 7*c - 3*c + p. What is the third biggest value in g, 0.3, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31263*k**4 + 47*k + 11485879.\nAnswer: -125052*k**3 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 + -96. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:47 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Let p = 42 + -45.6. Let l = u + p. Sort 2, -0.1, l in decreasing order.\nAnswer: 2, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122574701 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 175*k - 167*k - 8. Solve -7*v = 13 + k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f)\/f)**(7\/9))**(-1\/46)\/((f\/((f\/f**10)\/f)*f*f)\/(f**(-2\/11)\/f))**(-15\/2) assuming f is positive.\nAnswer: f**(242113\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118.73 + 118.73. Sort g, -4, -3\/44 in decreasing order.\nAnswer: g, -3\/44, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37541 at most as big as 37456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:50 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 419.8 and -223.\nAnswer: -93615.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 100, 0.1, 2\/11?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147594?\nAnswer: 2, 3, 17, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10180 + -10175. Sort -3, 4, y, 638.\nAnswer: -3, 4, y, 638","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -2.3. Let x = i - 3. Let q = 90 - 447\/5. Which is the nearest to x? (a) q (b) -2\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56050013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyysyywwysywssyvyv.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 8, -1 in decreasing order.\nAnswer: 10, 8, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/3 + 11\/6. Let y(r) be the first derivative of -g*r**2 - 1 - r. What is the derivative of y(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1.86. Let q = -0.8 - a. Let j = 0.192 - q. Round j to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 10. Let r be f(-8). Let s be -3 + 1 + r\/(-2). Is 2 a factor of ((-14)\/4 - s)*-14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/109910 and 69\/256.\nAnswer: 14068480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676680 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79024 = 1304*u - 1296*u. What is u rounded to the nearest one hundred?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:19 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + sqrt(700) + 1)**2*1 + (-4*sqrt(441))\/(sqrt(378)\/sqrt(6)))*-6.\nAnswer: -21030 + 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 3*q - 15. Let g be b(-6). Suppose -4*x + 52 + 113 = -g*u, 2*x + 4*u = 110. What is the second derivative of -13*s**5 - x + 45 - 7*s wrt s?\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + s = -590, 8*s - 7*s = -4*a + 472. Calculate the remainder when 364 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 22 - 1 = 5*d, 0 = -5*d - l + 26. What is the nearest to 0 in d, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, 5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128139, 255690, 383241, 510792?\nAnswer: 638343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-275)\/(-485)) - (-20)\/110. Calculate the greatest common divisor of q and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -550 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -515989 * 0.27.\nAnswer: -139317.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-10)*(-988)\/(-2). Suppose -b = -2*s - 11*s. Calculate the remainder when s is divided by 4\/(-6) - (-304)\/24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 769\/2 - 398. Let t = h - -14. Suppose 0 = -4*a - 5 + 13. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279.89 - -274. Let q = 0.11 - n. Let x = 11 - q. What is the nearest to -1 in x, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681, -1800, -3357, -5352, -7785?\nAnswer: -10656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymvpvvvyvvvvpmmmvm. Give prob of sequence mpvv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2427 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-21)\/6)*25\/(-10). Let o(x) = -14*x + 23. Let d(k) = 16*k - 29. Let a(g) = 4*d(g) + 5*o(g). Let q(c) = -12*c - 2. Calculate m*a(h) + 2*q(h).\nAnswer: 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.3, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 15 = -5*d, -5*i + 19 + 16 = 5*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b + 3468705219 = 1450643219. Round b to the nearest one hundred thousand.\nAnswer: 24300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8 and -5\/284.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 13*j**2 - 15*j + 14. Let t = -24 - -38. Let b be l(t). Suppose -500 = -2*n - 3*x + 4*x, -4*n + 5*x + 994 = b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 3*x**2 + x + 12. Let d be m(0). Suppose -d + 9 = -l. What is the fourth smallest value in -5, 0, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 101\/14 (b) -0.6 (c) 2\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 183 and 116 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.19 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -32*g**2 - 8*g**3 - 449*g**4 + 4*g**5 - 441*g**4 + 4*g + 16 + 906*g**4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and -285.4.\nAnswer: -285.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t - 42. Let l(o) = -5*o + 31. Let p be l(7). Let k be h(p). Calculate the common denominator of 113\/54 and (-2)\/27*(k + (-459)\/(-12)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, p: 1, e: 4, k: 1, y: 1}. Give prob of sequence kyeh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 996. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 97, 127, 137, 121, 73, -13?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 127, -5, 781 in decreasing order.\nAnswer: 781, 127, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 5. Let z(q) = -7*q + 11. Let m(g) = 5*h(g) - 2*z(g). Suppose -4*r + 6 = -r. Suppose -2*k + 4*p = 3*k + 8, r = 2*k + p. Give m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 43*q - 60. Let x(k) = -5*k**2 - 44*k - 61. Let o(a) = 3*x(a) - 4*z(a). Let i be o(-28). Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-5))\/3*10\/44.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 73 (b) -26197 (c) -0.1 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1702 - 197*k + 1702)*(2*k**2 - 2*k**2 + 3*k**2)*(0 - 1 + 4).\nAnswer: -1773*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**4\/4 + 13*a**3\/3 + 33*a**2\/2 - 19*a - 2. List the prime factors of f(15).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h - 3. Let t(y) = -10*y - 4. Let q(j) = -4*s(j) + 3*t(j). Calculate q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/16 + -2 + 5\/36.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -101*y**3 + 55983*y + 26685*y + 104*y**3 - 996*y**2 = 0?\nAnswer: 0, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -6. Suppose -4*s - 3 + 2 = -5*o, o - 5 = -f*s. Let a = 2 + o. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 946b?\nAnswer: -946a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 172, 263, 366, 487, 632, 807, 1018?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15908, 63124, 141816, 251984, 393628, 566748?\n\"Answer: 15738*h**2 + 2*h + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -12114030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864426.4ns to microseconds.\nAnswer: 864.4264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + 525. Suppose 31*u + 72 = y. Solve -5*z + 7 = 3*d - 2, 4*d = 3*z - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 28*j**2 - 1\/210*j**5 - 1\/21*j**4 + 5\/21*j**3 + 0 + 0*j. Factor q(w).\nAnswer: -2*(w - 1)*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -970 or -967?\nAnswer: -970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-14.5\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1)*(-6 + 8 - 11)*(-10 - c + 10) to l*c + d and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 8*q**2 + 4*q - 16. Let j(n) = -4*n**3 - 7*n**2 + 3*n - 13. Give 6*j(s) - 5*p(s).\nAnswer: -4*s**3 - 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 26*l**2 + 28*l + 23. Determine z(27).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + k - 1. Let a(n) = 45*n**3 - 10*n**2 - 9*n + 9. Give 2*a(f) + 18*z(f).\nAnswer: 90*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18403413071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 4. Let d be 30\/4*2\/3. Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*g - 184*g + 131*g + 149*g.\nAnswer: -73*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 1. Let z be p(-1). Find the third derivative of -3*y + 3*y**6 - y + 2*y**2 + z*y wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**2 - 35*l**2 + 866 - 869.\nAnswer: -72*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -107 and -3.714068135?\nAnswer: 103.285931865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/72 and -107\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 26*k - 24*k + 42*k.\nAnswer: 44*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 9*h - 21. Let p be d(-11). Let f = p - -6. What is the first derivative of -f*c**4 - 4 + 10 - 3*c**4 - 6*c**4 wrt c?\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36 - 2)\/((-39)\/(-15) - 3). Let c be ((-102)\/w)\/((-2)\/(-5)). Suppose 0 = -4*k - 3*h - c, 3 = 2*k - 4*h + h. Sort -2, k, -5 in descending order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 29. Let s = 61 + c. Let t(u) = u. Determine t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l + 3, w = -4*l + 36. Let v(c) = c**2 + 12*c - 1. Let y be v(5). Let b = y + 34. What is the remainder when b is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026 and 29943.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.583 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/38588 and 43\/39308894.\nAnswer: 864795668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 506867.2 millilitres?\nAnswer: 506.8672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1690\/2 - (-7 + 11). Suppose -2*m - 5*r = -g, 3*r - 5*r = -5*m + 2030. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8*((-2 - -2) + -4). Let t(j) = -j**2 - 4*j - 3. Let f be t(a). Suppose f = -4*u + 3*u + 3*k + 72, u - 72 = k. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3996648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2078, -2033, -2042, -2099, -2198, -2333, -2498?\nAnswer: -2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose -4 = -c*q + 26. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4 and -87\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 12:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55\/4 or 456570\/11?\nAnswer: 456570\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 6*w**2 - 4*w**2)*(1 - 1 + 3*w + (-3 - 2 + 4)*(-w - w + 3*w) - 3*w + 0*w + 5*w + 5*w - 3*w - w)*(-w**2 + 19*w**2 + 4*w**2)*(1 + 1 - 1).\nAnswer: 110*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 769 * 5.\nAnswer: 3845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.438 rounded to one dp?\nAnswer: 52.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3006 and 334?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4 = -8*b, -2*b = 10*t - 14*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510 + 3. Suppose 1971 = 9*g + q. Does 27 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2. Let i(f) = 659*f**2. Determine i(t(d)).\nAnswer: 2636*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 10*u + 47 - 22, 0*j + 2*u - 18 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 21 = 0, -658*p + 657*p - 3*k - 24 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {g: 2, b: 1, s: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 0.1 (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.07 - -3.8. Let v = h - 0.42. Round v to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v + 6. Let j be g(0). Let s be 95\/(-38)*(-24)\/5 - 6. What is the greatest common factor of j and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaixo. Give prob of sequence ox.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 + 1223300004?\nAnswer: 1223244243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -217*t - 1257. Is u(-82) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 3, p: 6, b: 3}. Give prob of picking 3 g.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1, -8\/25, -1\/3, -219 in decreasing order.\nAnswer: 1\/2, -8\/25, -1\/3, -1, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.072 + 41.072. Which is the biggest value? (a) z (b) -38 (c) -0.3 (d) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 41 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/60 + 37*m**2. Suppose b - 6 + 0 = 0. Let w(a) = 4*a - 12*a - b*a - 9*a. Determine q(w(g)).\nAnswer: -529*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, 407 = -5*n + 4*m + 7. Let v = n - -80. Suppose v = -7*p + 191 - 37. Solve -4*f = 4*h - 8, -h = -3*f - 2*f + p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*492\/18. Calculate the highest common factor of 41 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/952 and 41\/48?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6660.773km to millimeters.\nAnswer: 6660773000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2497? (a) 1\/4 (b) 3 (c) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = 4*h, 3*q - 8*q - h + 105 = 0. Find the second derivative of -23*r + 14*r + 2*r**4 + q*r - 4*r**4 wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20*(44\/8)\/11. Suppose -7*d + w = -2*d. Which is smaller: 5\/8 or d?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7*7\/12. Let x = -9 + -13. Let r = -26 - x. Sort 4\/5, r, v.\nAnswer: r, v, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4))\/(-9)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913 greater than or equal to 8917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11185, -22369, -33553, -44737?\nAnswer: -55921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 times -10491?\nAnswer: -461604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**5 - 1590*g**4 + 9903*g**3 + 577476*g**2 - 6644916*g + 18978624 = 0.\nAnswer: -21, 6, 16, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 25*r + 141. Let k be a(-17). Suppose 7*t = 3*m + 5*t - 11, -k*m + 5*t = -20. Solve 0 = -5*i + m*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 1\/8 (b) 3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 9. Let f be s(-7). Suppose -2*c + 3*c + 42 = i, i - f*c = 46. Suppose 0 = 3*h - 43 - i. What is the remainder when h is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 3, y: 2, p: 6}. Give prob of sequence puup.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 6532*d - 10666756.\nAnswer: -(d - 3266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 16*i**2 + 33*i + 70. Let w be o(-14). Let 0 + w*n + 6\/23*n**2 + 4\/23*n**3 = 0. Calculate n.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Let i = -108 + 107.9. Let y be (-12)\/(-1656)*23 - (-3)\/54. Which is the closest to i? (a) y (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 7*q - 54*q**2 - 77*q**2 - 325*q**2 to m + v*q**2 + p*q and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1354, -1509, 0 in ascending order.\nAnswer: -1509, -20, 0, 1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -65?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*o + 30 = -111, 5*o - 195 = -5*q. Suppose -q*g + 33*g = -36. Suppose -156\/7*m**2 - 80\/7*m**3 - 120\/7*m - 12\/7*m**g - 32\/7 = 0. Calculate m.\nAnswer: -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2544313 rounded to two decimal places?\nAnswer: 11.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxjx when four letters picked without replacement from {l: 1, x: 4, j: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.4 - 32. Let b = y - 0.42. Is b at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 45 = -32*i + 6*p, -3*i - 5*p + 18 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-7) - ((-684)\/(-63) - 20)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 = -4*a + 967, -234 = -a - 3*k. Let i = 244 - a. Suppose 5*m - 13 = 172. Solve -4*p - i*g - 4 = 0, -4*p - 1 + m = -4*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411.819 + 412. Round u to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1056.379 nanoseconds?\nAnswer: 0.000001056379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.776 to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 4, p: 1, i: 4, n: 6, v: 2}. Give prob of picking 1 z and 1 v.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 106*g - 143. Calculate n(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156.9531 + 0.9531. Is 3 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f. Let j(x) = 8*x + 6. Let g(h) = 7*h + 5. Let k(o) = 6*g(o) - 5*j(o). What is k(r(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2351 - -2361. Solve 2*l + 2*v = 0, -4*l + 5*v = u*v + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + a**2 + (1 + 2*a - 1)*(2*a - 3*a + 0*a) + 3 - 5*a**2 - 3 + 3*a**2 - 4 + 4 to the form d*a**2 + p + j*a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 2735 = -86509. List the prime factors of (-10)\/(-25) + r\/(-10).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 5*o)*(0 + 13 + 5) - o - 9 - 5*o + 7.\nAnswer: 30*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271.906 + -503.292. Let o = -231 - x. Let c = -17.914 - o. Round c to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 423428*k**3 + 17*k**2 - 44*k + 7. Let n be r(9). What is n rounded to the nearest 1000000?\nAnswer: 309000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a - 55*a = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 338 - 127. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54 + -36 - (-2 + -1). Calculate the highest common divisor of f and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19) + -5)*-6)**2 + (sqrt(931) + 5 + 0 + sqrt(931))**2.\nAnswer: -220*sqrt(19) + 5333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18843 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 539 = -4*f, 3*f + m = 152 + 251. Suppose -4 = -3*j - 7. Let t = f + j. What is the highest common divisor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5637.6 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 552 = 14*h - 30*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b**3 + 220*b**3 - 183*b**3.\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*10\/35 + (-79)\/(-7). Suppose -d*g + 8 = -10*g. What is the remainder when 37 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 3*q - 32, 6*q = 2*n + 8*q - 3*q - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4893795 rounded to four decimal places?\nAnswer: 0.4894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwww. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 957, 1438, 1921?\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206 - -208. Factor -2*x - 2\/5*x**3 - 4\/5 - 8\/5*x**t.\nAnswer: -2*(x + 1)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12313201122 - -1?\nAnswer: 12313201123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2500852, 5001706, 7502560, 10003414, 12504268, 15005122?\nAnswer: 17505976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = -17*y + 45*y + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (34 - -2 - (24 + -35))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*m + 4 = 0, -m - 4 = 4*v + m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -8. Let r(g) = g**3 - 15*g**2 - 253*g + 4466. What is the lowest common multiple of r(16) and c?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57455 * 2115.\nAnswer: -121517325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2770)\/1939)\/(5\/14). Let v(z) = 0*z - 3*z + 0*z**3 + z**3 - 5*z**2 - 5 + 9*z**2. What is v(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -0.854 (b) -0.44 (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 3*f**2 + 5*f. Let u(o) = 947*o**3 - 5*o**2 - 10*o. What is -u(n) - 2*w(n)?\nAnswer: -945*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-18)*(-4)\/(-8). What is the closest to 0.003 in 0.5, 2\/9, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1157, -5010, -11437, -20438?\nAnswer: -32013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1*(-126)\/6. Let a = y - 14. Solve a*k - 5 = -15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13*t**3 - 9*t**2 + 7*t + 4. Let o(b) be the second derivative of 3*b**5\/10 - b**4\/3 + b**3\/2 + b**2 - 13*b - 3. Give -4*d(l) + 9*o(l).\nAnswer: 2*l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ppyyyp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162201?\nAnswer: 3, 13, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42543.656 and 0.5.\nAnswer: -42543.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5062265 - -2.\nAnswer: 5062267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001901152 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2582104230 > -2582104230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 104137974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 126000*o - 12. Let i be d(5). Suppose 0 = a - 6*l + 2*l + i, -4*a = -2*l + 2519994. Round a to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1088319810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*v)*((0 + 1 - 3)*(1 - 2 + 2) + 22 - 10 + 8).\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, -0.119, -462?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 2 + 4 + (2 - 0). Suppose 0 = r + i - 2. What is the nearest to -2\/19 in r, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y**5 - 810*y**2 - 3*y + 3. Let k(q) = -17*q**5 + q**3 - 1620*q**2 - 7*q + 7. Let f(p) = 7*d(p) - 3*k(p). Find the third derivative of f(m) wrt m.\nAnswer: -300*m**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c - 136. What is the units digit of x(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49658069 to the nearest integer?\nAnswer: 7047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596\/9 + (-4)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*b + 437*b = -432*b - 4*p + 30, p + 7 = -6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850405783?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - 92\/12. Let y = -28 - -42. Let c = a + y. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - r**2 - 4*r**2)*(2*r + r + 3*r)*(3*r + 0*r - 4*r) in the form s*r**2 + o*r**3 + l*r + w + j*r**4 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685836 is divided by 342902?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5 - 2*a**4 - 2058988*a**3 - 834464*a**2.\nAnswer: -120*a**2 - 48*a - 12353928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p + 2. Let j be k(-2). Suppose j = -w + d - 6*d + 149, 725 = 5*w + 5*d. Suppose -11*z + 2*z + w = 0. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 970, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3\/35, -2\/3, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 77041167.\nAnswer: 77041167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -593 and 1315.11.\nAnswer: -779860.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 divided by 191?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -26*y**3 - 45*y**2 - 5. Let l(c) = -6*c**2 - 7*c. Let g(z) = -2*i(z) + 27*l(z). What is the second derivative of g(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1119\/28 + 890\/21. Let o(c) be the second derivative of v*c**4 + 29\/6*c**3 + 0 - 22*c + 0*c**2. Find the second derivative of o(x) wrt x.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 42488300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 1 (c) 2\/13 (d) -2\/191 (e) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 10601, 6, 5 in decreasing order.\nAnswer: 10601, 8, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-4)\/5*130\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120131 (base 4) to base 14.\nAnswer: -7db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 184. Suppose -q*x + 6 = -61*x. Suppose 3*u + u = -g + 894, -5*u + 1124 = -x*g. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from cyjackiyiyji?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**8\/2880 - m**6\/120 + 7*m**5\/60 + 3*m**2. Let d(z) be the third derivative of f(z). Differentiate d(t) with respect to t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1554*q - 1316257. What is p(847)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13115 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28162 divided by -3\nAnswer: -28162\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198059, 198124, 198189?\nAnswer: 198254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13435837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4219 divided by 2\nAnswer: -4219\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*q, 5*q = 85*v - 87*v + 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001460846 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000314203306 to 7 dps.\nAnswer: -0.0003142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.8 + -1.8. Let z = -4.1 + l. What is z rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/243 (b) 0.5 (c) 11 (d) -3 (e) -0.3 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 - 122?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.1 + 9. Let k = 62.082 + -0.082. Let h = k - 62.19. Which is the third biggest value? (a) 0.4 (b) 5 (c) h (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 400728 = 5*j + 400744, 3 = -3*j - i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/8 - 11403*k**2\/4 - 341849*k\/8 + 45582 = 0. What is k?\nAnswer: -22791, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22177 (base 8) to base 4.\nAnswer: -2101333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3558*s = -3241*s - 4755 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384704 and 5.\nAnswer: 1923520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqg when three letters picked without replacement from dfqgfg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + -1 + sqrt(17)*-4.\nAnswer: -4*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*p + 3*a, 3*p - 4*a = -0 - 2. Let t be ((-8046)\/(-9))\/(6\/4). Suppose t = -2*q + p*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/129?\nAnswer: -14\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -4*y**3\/3 - 5*y**2\/2 + y - 1. Let t = 250 - 253. Let q(r) = 7*r**2 + 9*r - 2. Calculate t*q(l) - 5*u(l).\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-208))\/3)\/(277\/232680*-70)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.169 + -128\nAnswer: -127.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = 3*i - 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-15) - 21009\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86847, 173646, 260421, 347166, 433875, 520542, 607161?\nAnswer: 693726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 23563 + 2147 = 0. Let y = t + -523. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnnnnccnncnc. Give prob of picking 2 n.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(143)*-3 + sqrt(143)) - -1*sqrt(143)*2)\/((sqrt(132) + sqrt(132)*3)\/sqrt(12) + sqrt(11) + sqrt(88)\/sqrt(128))*-4.\nAnswer: -64*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 5490*b - 667707.\nAnswer: -3*(b - 1699)*(b - 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 27005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*x + 11 = 0, -5*w + x + 10 = 6*x. Suppose 8 = 3*l + l. Put w, l, -2 in descending order.\nAnswer: w, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -5\/6 (b) 11 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261945 a multiple of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4346 - -9306. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 14*p**3\/3 + 17*p**2\/2 - 11*p + 1. What is the derivative of v(j) wrt j?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7534835761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y**2 + 262954*y - 262954*y.\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -286 + -9?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l**2 + 3*l. Let s be b(3). Let c(v) = -v**2 - 6*v + 6. Let x be c(-6). Suppose x*z - 4 = 44. Calculate the highest common factor of s and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 2*d**3\/3 + 1. Let y(m) be the second derivative of 5*m**4\/6 + 116*m. Determine f(y(l)).\nAnswer: 200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-3 - 0) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 85. Which is the second smallest value? (a) 0.2 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.48703 decades in centuries?\nAnswer: 9.348703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkhykdhedpp. What is prob of picking 2 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8946953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, w: 4, j: 9, r: 1, p: 2}. What is prob of picking 1 j and 1 r?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -3. Let q(h) = -4. Let s(j) = j + 4. Let y(d) = -7*q(d) - 6*s(d). List the prime factors of y(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 382320175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 4 = 3*p - 4*x, -2*p = 5*x + 47. Let d(o) = -o**3 - 7*o**2 + 11*o + 1. Let r be d(p). Let l(h) = -8 + 22 - r*h + 363*h. Give l(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*n + 1757 - 334, n + 3*h - 469 = 0. Calculate the greatest common factor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*t + 6 = 0, 4*c - 3*t + 18 = 8*c. Let -1\/3*j**2 + j**c - 2\/3*j + 0 = 0. Calculate j.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 892398 or 1?\nAnswer: 892398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2101474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/11)\/o*o*o**(-2\/21)*(o**(-1\/2))**(-10\/7) assuming o is positive.\nAnswer: o**(416\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7242576 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3087*s + 219 = 3047*s - 21 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**5 + 6235*j**4 + 81845*j**3 + 69365*j**2 - 81840*j - 75600 = 0.\nAnswer: -12, -1, 1, 1260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p - 4. Suppose r - 4 = 3*y - 16, 3*r + 15 = 2*y. Let v be (-3 - (-3)\/(3\/y))\/(-2). Calculate f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(576\/(-96)*5\/6).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 50. Suppose -m*f + 30 = -5*f. Solve 0 = 5*l - 4*i + i + 12, -4*l = -f*i + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 25. Let x = -6782\/255 + -6\/85. Let d = q - x. Sort d, -0.3, 0.4 in increasing order.\nAnswer: d, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -828, -833, -848, -879, -932?\n\"Answer: -l**3 + l**2 - l - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 4) to base 8.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b + 5 - 3*b + 2*b - 2. Let w(v) = 2*v - 3*v + 0*v + 5. Give 5*d(l) - 3*w(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/4)\/(1 - 2). Suppose -u = -y*u + 5. Let j be ((-140)\/50)\/((-4)\/10). Solve h = -u*v - 6, -3*v + 0*v - 4*h - j = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2\/3*n**3 + 0 + 2\/15*n**2 + 0*n = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - (1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 1891.\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010101101011 (base 2) in base 15?\nAnswer: 53eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.072 and -72?\nAnswer: -5.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 2536*p + 5076.\nAnswer: -(p - 2538)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4053*o**2 + 3287*o**2 + 4619*o**2 - 1491*o**2.\nAnswer: 10468*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 19\/19) + (-6)\/1. Suppose -55 = z - 7. Let u be z\/(-15) + (-2)\/10. Solve w*j + 9 = 3*h, -12 + u = -h + 4*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.024 in 1\/3, -1\/6, -2\/7, 2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -8417?\nAnswer: 15\/8417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 692 + -691.816. What is r rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2\/21 - 134*p\/21 + 52\/21.\nAnswer: 2*(p - 13)*(5*p - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -764, -1552, -2342, -3134, -3928?\nAnswer: -4724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let f = -19 - -16. Suppose 18*j + 384 = 26*j. What is the least common multiple of i(f) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.94 + -0.9400035. What is j rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -695*p**3 - 1695*p**2\/2 + 83*p. What is the first derivative of m(v) wrt v?\nAnswer: -4170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1832294 - 459*d**2 - 1832294.\nAnswer: -459*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2019 + 2018.998799. What is m rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3593784 or 73?\nAnswer: 3593784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53341.99 millennia?\nAnswer: 5334199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:23 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213220 by 106610.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 6*c - c - 1261*j + 1258*j, 0 = 17*c - 13*j + 154 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 9692739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -12\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:27 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 - 8*g - 9. Let c be v(-5). Let p = c - 30. Suppose -4*s - 3*x = -p - 3, -3*s + 3 = x. Solve -5*l + 4 + s = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2065, 5.84?\nAnswer: -2065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*t + 24, -2*u - 3*t - 8 = -u. Suppose -u*z + 91 - 23 = 0. Suppose 4*h - j = 2*j + z, 2*h - 14 = -4*j. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/337194466 and 5\/18.\nAnswer: 3034750194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18636485 rounded to four decimal places?\nAnswer: 0.1864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -258 divided by -2\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099596241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.72 + -38. Is g > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 - ((6 - -2) + -1). Let h(f) = -f - 4. What is h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -15*r**3 - 9*r**2 + 5*r. Let m(z) = 19*z + 290. Let h be m(-15). Let g(i) = 22*i**3 + 14*i**2 - 8*i. What is h*g(s) + 8*y(s)?\nAnswer: -10*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1027274871, 2054549742, 3081824613?\n\"Answer: 1027274871*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80024 is divided by 187.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 725 (c) -214 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*r - 21444*a**3 + 2*a*r - 92*a + 32 wrt a.\nAnswer: -6*a*r - 128664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 plus -206093.4?\nAnswer: -206201.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 14*d**2 - 13068*d + 6535*d + 6533*d.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010891443 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 18 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 0*t + t)*(-3*t + t + 0*t) + 3*t**2 - 2*t**2 - 2*t**2 + 44*t + 43*t**2 - 45*t - 4*t**2 as r + c*t**2 + v*t and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -3 (b) -0.4 (c) -0.3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 242 = -u, -238 = -3*a - u. Calculate the greatest common factor of 32 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 7) to base 13\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3.764076?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 64*n**3 - 2*n**2 + 1. Let w(r) = -r**2 - 5*r - 3. Let v be w(-4). What are the prime factors of s(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 14. Let y = 11520 - 11524. What is x(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 8319510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s. Let d(l) = 3*l. Determine -15*d(k) + 6*n(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/10)\/b**(-3\/7) assuming b is positive.\nAnswer: b**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/15)\/(10\/(-36)))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**2 - 3160*y + 624100 = 0.\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 19 + 8*x - 8.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.03 (b) 5 (c) -1\/6 (d) -19\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a = 70*a - 175*a + 417406. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:26 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Suppose -12 = -2*x - h*x. Determine q, given that -1 + 2*q**5 - q**5 - 2*q**x + 3*q**4 + q + 2*q**2 - 4*q**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by 1?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 + -3 + 1 + (2726 - 2709)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/10)\/(-1*20\/100)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 8)\/((-2)\/(-11)). Sort -3, f, 1 in descending order.\nAnswer: f, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.63 + -50.63. Let n = -50.4 - s. What is the biggest value in n, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-15)\/2 - -4) + -4. Let h be (-10 - -13)*3\/x. Solve 2*j - 22 + 3 = h*a, 4*j - a = 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and 300?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z - 3. What is the third smallest value in 3, 7, z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 136 = -6*t. Suppose -5*w = 5*f - 140, -f - f = 5*w - t. Solve 9 - 30 = 3*h + 4*l, -4*h - 4*l - f = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/3, -10, -4, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (101 - 94) + (-1)\/(1\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*f - 15, -4*a + 25 + 23 = -4*f. What is the third derivative of 299*z**5 - z**6 - a*z**6 - 2*z**2 - 299*z**5 wrt z?\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-4)*(l**(5\/6)\/l)\/l*(l**3\/l)\/l**(-3) assuming l is positive.\nAnswer: l**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 - -247325?\nAnswer: 247163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/246 and -71\/9.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1089 + 625 + 686 + 44*p. Let i be f(-5). Solve i*c - 12 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 4, a: 7, d: 4, c: 1}. Give prob of picking 3 a.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 11. Solve 4 = -3*s + 4*d, -d - g = -5*s - 4*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 108*y**3 - 2*y**2 + 3*y - 1. Let b be p(1). Suppose 0*v + b = 6*v. Suppose -6*x - 12 = v. What is the smallest value in 76, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -638.99 rounded to zero dps?\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 5*j**2 + 6*j + 4. Let d be y(6). Suppose 4*n - 3*u = 109 + 37, -n - d*u = -46. Suppose -2*m - 2*z + n = 3*m, 5*z = 20. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 + 0.18. Which is the nearest to -2\/5? (a) 2\/5 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784685540, -1569371079, -2354056618, -3138742157, -3923427696, -4708113235?\nAnswer: -5492798774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30041051 (base 6) to base 5\nAnswer: -204021424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:01 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:33 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 2. Suppose 6*u = 2*u + 12, 0 = k + 5*u - 17. Suppose -11 = k*m - 5*d, 2*m + 3*d + 9 = -2*m. Does 9 divide n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3\/73 (c) 5\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1712\/461873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.192 and 3.\nAnswer: -0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 8) to base 5\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29217.9507 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4)\/z**(1\/3)*(z**(-1\/6)\/z)\/z**(-6\/11) assuming z is positive.\nAnswer: z**(-87\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 12. Let j(u) = -u**2 - 9*u + 3. Let z be j(d). Let g = z - 5. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13104633*o**4 - 288*o**2 - 275*o + 7 wrt o.\nAnswer: -314511192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0 + 4\/5*x**2 + 8\/15*x**3 + 1\/50*x**5 + 1\/6*x**4 - 5*x. Factor h(q).\nAnswer: 2*(q + 1)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104298 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-34))\/(125\/(59500\/(-56))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-6*sqrt(266) + sqrt(266))*-6)\/sqrt(7))\/(sqrt(12)\/(sqrt(384)*-4 + sqrt(384) + sqrt(384))))**2.\nAnswer: 4377600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u + 6*u + 0*u - 16 + 6*u to r*u + m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.99 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*h**3 - 12965*h**2*u + 178*h*u - 3062*h wrt h.\nAnswer: -336*h - 25930*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2837 is divided by (11\/2 + 3)\/(-5 + (-220)\/(-40)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -740761629 from 0.81.\nAnswer: 740761629.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 4624?\nAnswer: 4627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-4685238584389\nAnswer: -4685238584388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**4*f)\/f))\/(f**(1\/2)*f)*(f**(-1))**(6\/25) assuming f is positive.\nAnswer: f**(-237\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 24 = -5*h, 5*h + 2*t - 18 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224 a factor of 7385904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 12:15 PM?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express 120*z**4 + 2 + 73*z**4 - 240*z**4 + 79*z**3 as y*z**4 + c*z + l + g*z**2 + u*z**3 and give y.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784449 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 55*i**2 - 11*i**2 + (6*i - 4*i - i)*(-1 + i + 1) to h + x*i + p*i**2 and give p.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from zzzhzhzhzzzhhzzzzh.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 40. What is the common denominator of 37\/34 and 0 + f\/120*75\/2?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8241.7481 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185121 divided by 5.\nAnswer: 185121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 624.4 + -626.3976. Let h = -2.5 + 0.5. Let x = h - a. What is x rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*l**3 - 2814*l**3 + 703*l**3 + 698*l**3 + 706*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2358\/(-14)) + 6\/(-14). Suppose 3*y + 2 = d. Let j = y + -55. Solve 0 = -5*r + 4*z - 26, j = 3*z - 0*z - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 27 - 22 + 48 + 5*i. Determine z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 - 264. What is the third biggest value in n, 27, 5, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -27*n**2 + 5*n + 26. What is w(5)?\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 22. Let r(n) = -n**3 + 6*n**2 - 3*n - 4. Calculate r(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -10. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*q**2 - 13*q**3 + q - 394*q**2 - q + 880*q**2.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 5, 2, -6, -2 in descending order.\nAnswer: 5, 2, -2, -6, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019385482 to 6 decimal places.\nAnswer: 0.019385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*(4 + 2 + 4). Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133390121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Let r(n) be the third derivative of -n**7\/5040 - n**5\/60 + 2*n**2. Let c(b) be the third derivative of r(b). Determine z(c(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + 4 - (11 + -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4864 divided by 152.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w + 372. Let h be x(34). Calculate the highest common divisor of 2268 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 5*l - 4. Let n = -17 - -20. Suppose 0 = -5*r - u + 19, 0 = -0*u - 3*u - n. What is d(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832a8 (base 11) in base 10?\nAnswer: 121481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(432))**2*-3 - (5*sqrt(432) + 0 - sqrt(432))**2) + 3)*-6.\nAnswer: -864*sqrt(3) + 49302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(119)*-3 - sqrt(119))\/(1*sqrt(175)) - 3*((-2*sqrt(170) + sqrt(170) + sqrt(170))\/sqrt(10) + 1)).\nAnswer: -6 + 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**3 + 39*t**2 - 146*t - 1096. Calculate r(-7).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by -9 - (-214)\/8 - 6\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213075 (base 10) to base 5\nAnswer: 23304300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 507 + -533 + 0 + 81.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 323? (a) 5 (b) 0 (c) 1933 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88121551, 88121552, 88121553, 88121554, 88121555?\n\"Answer: r + 88121550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 1, c: 2, m: 6, s: 1, a: 4}. Give prob of sequence smb.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44352)\/1925 + 36 + 7 + -20?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17960.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q + 48. Suppose -4*r = 3*k + 15, -2*r = 6*k - 2*k + 10. What is the remainder when q is divided by 4\/((-32)\/(-20))*(9 - k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 2310, -1, 3, -5 in decreasing order.\nAnswer: 2310, 3, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 1. Let s be g(4). Let z be (2\/2)\/(1\/s). Let l be z + 1 - -1 - -4. Solve -l*m - b = -0*b + 10, -m + 2*b - 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdto when four letters picked without replacement from otqqtottoqrrqttqtqd?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {k: 4, u: 2, m: 2, p: 4, o: 2, r: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*67\/(-141236)*-4.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i - 11748 = -10713 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 25*v**2 + 87*v - 77. Let x be o(28). Suppose 44 = 5*i + 3*u, -42 = -3*i + 3*u - 6. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Suppose -45 = -b*g + 99. 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: Which is the second smallest value? (a) -0.41 (b) 0.5 (c) -3 (d) 0.4 (e) 0.037 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 0*b**3 + 2*b**3 + (-b - 4*b + 3*b)*(6*b**2 - 4*b**2 - 4*b**2) + (3*b + 2*b + 0*b)*(-4 + b**2 + 4).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21231 - 21?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-128 + 117 - (-5 + (-3 - -3)))) + 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddddwdwdd.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 212520163*x**2\/2 - 5645602407063280*x - 5645602513323362.\nAnswer: -(x - 106260082)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 61 - 31)*(2*h - 2*h + 2*h**5).\nAnswer: 150*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 plus -0.0499?\nAnswer: -146.0499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0)\/(-4)*0. Suppose o + 5 - 8 = z. Solve -o*n - 4*a + 9*a - 5 = 0, 12 = 3*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3743500.\nAnswer: 2, 5, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -163, -147, -139, -145, -171, -223?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:43 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -8*u + 65. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:19 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 66*b - 450. Let y be l(10). Solve -2*r + 10 = -y*m + 6*m, 0 = -2*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14589 is divided by 1121.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925576610?\nAnswer: 2, 3, 5, 1567, 40961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512198996?\nAnswer: 2, 53, 131, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-1)\/3*-1. Let o be 0\/((g - 0)*-2). Suppose -2*q = -o*q. Solve 3*s = -2*y - q - 23, -y + 4*s + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5554 = -104*s + 7030. Let p be 4\/(-10) - (-7)\/(35\/222). Calculate the highest common divisor of p and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 13*l**5\/30 - 29*l**4\/24 + 4*l**3\/3 + 6*l**2. Let w be k(8). Round w to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*w - 181 = -w, 0 = w + 5. Let i = 49 + a. Suppose i*v - 107 - 303 = 0. What is the highest common divisor of v and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 3, l: 4, c: 4, j: 2}. Give prob of sequence lj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 21*i**2 + 66*i**2)*(-i**2 - 1 + 1) + 3*i**3 - 2*i**4 - 3*i**3.\nAnswer: -52*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 8, -56922, 5, 41 in descending order.\nAnswer: 41, 8, 5, 2, -1, -56922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 7 + 5 + -1. Let t(b) = 5*b - 24. What is the smallest common multiple of 7 and t(k)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 2*w + 2. What is p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 12*v - 12. Let b be ((-100 + -4)\/4)\/2. Let w be y(b). Sort w, 2, -5.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/5)\/(d*d**(3\/5))*d*d**(-3)*d*d\/d**(1\/7) assuming d is positive.\nAnswer: d**(-54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 + 3*q + 2. Let z be a(-1). Let i be -2 + z - 4\/((-12)\/9). Differentiate 12 - i - 3*n**2 - 17 - 11 with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -305*q**4 + 1137*q**4 + 0 - 3*q**2 - 213*q**4 - 3 - q**2 in the form i*q**2 + h*q**3 + z*q + t*q**4 + u and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 40969865?\nAnswer: -122909595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 93. Let s = y - 80. Does -20 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 179 and 77795.759.\nAnswer: 77974.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -s, -2*s = 5*m - 16. Suppose 0 = 5*c - m - 18. Let w(f) = c*f**2 - 9*f**2 + 0*f**2. Let p(o) = -2*o. Determine p(w(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p + 140. What is k(0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -18268*t**2 - 3. Let m(k) = 12*k**2. Calculate u(m(a)).\nAnswer: -2630592*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 921*g**3 + 16*g**2 - 22*g + 5. Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -42. Sort 2, 3, b.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*b + 6841 + 8524 = 1754 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216803917.\nAnswer: 11, 463, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 23034000 to the nearest one hundred thousand.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 0*b**2 - 1402*b**3.\nAnswer: -1402*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -23, -10*g - 235*t + 82 = -231*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 96543255*c - 74757279?\nAnswer: 96543255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11069587 is divided by 2870?\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(5\/6))\/b**10*(b*b\/(b**(-5)\/b)*b)**(-42) assuming b is positive.\nAnswer: b**(-2317\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -17610 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1746230*s**6 - 188739*s**2 - 3*s wrt s.\nAnswer: 209547600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/9 - 87668*p\/9 + 684040.\nAnswer: -4*(p - 70)*(p + 21987)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 48*t**2 + t + 517. What is the remainder when i(48) is divided by 312?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26294, -26295, -26296, -26297?\n\"Answer: -f - 26293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v*(v*(v**(4\/7)*v)\/v*v)\/v)\/(v**(3\/7))**41 assuming v is positive.\nAnswer: v**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbt when three letters picked without replacement from ccvbbtbbbtcbhtq?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15534015 (base 6) to base 8.\nAnswer: -2077473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1150 and 16660090.\nAnswer: 1915910350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.025 + 0.025. Let v = n - -42. Let l = 17 - v. Which is the second smallest value? (a) -5 (b) -0.05 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**4 + 130*b**3 + 847*b**2. Let m(d) = 2*d**4 - d**2. Let i(x) = c(x) + 2*m(x). Factor i(t).\nAnswer: 5*t**2*(t + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 240*f**3 - 119*f**3 - 2 - 6*f**2 - 119*f**3 - 3*f + 2*f in the form o*f**2 + v*f**3 + l + g*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sixa when four letters picked without replacement from soaiivxsxxixxs.\nAnswer: 15\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8 - (8 + 1)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let h(n) = -2*n**2 - 5*n + 38. Let g(w) = w**2 + 2*w - 19. Let a(z) = 11*z - 7. Let y be a(1). Let k(b) = y*h(b) + 10*g(b). Calculate k(t(m)).\nAnswer: 8*m**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 - 2)*(5*z - z - z) as s*z + p and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g - 88. Let h = 98 + g. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 70*j**2 + 38*j + 1348. Give c(-35).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbw. Give prob of sequence bwww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3*j - 3. Let i be k(4). Let c be -5 + 4\/16 + 5 + -1. What is the third biggest value in 1\/2, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*z + 3. Suppose 4*b = z*b + 10. Let s be (276\/b)\/(6\/20). What is the greatest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(5\/3))**(2\/11))**(-17\/6) assuming f is positive.\nAnswer: f**(-85\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1195766310 to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(((-2)\/6)\/((-1)\/6))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -457 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 81.1. Let g be 0\/(-2) - 0 - 3. Let m = -2 + 4. Which is the closest to y? (a) 3 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 18*x**2 + 37*x - 47. What is s(16)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 135, 120, 105?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-29)*q\/(q**(-16\/9)*q)*(q**(-2\/53)\/q)\/q**(-1\/34) assuming q is positive.\nAnswer: q**(-457843\/16218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w + 57. Let k(u) = 22*u**2 - 36 + 9 - 30 - 21*u**2 + 4*u. Let a(b) = 4*k(b) + 3*o(b). Differentiate a(l) wrt l.\nAnswer: 8*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915*d - 152 + 12 = 920*d. Suppose 5*v = -5*r + 35, 7*r - 2*r - 24 = -4*v. Let z = v - d. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*h*k**2 + 8*d**2 - 19*d*h*k**2 - 8*k**2 with respect to h.\nAnswer: d**2*k**2 - 19*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(175) + 0)**2 + 3).\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1900) + -1 + sqrt(1900) + -6*(1 + sqrt(475) + sqrt(475)).\nAnswer: -60*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 25. Let t be q(8). Let l(o) = -1934*o**3 + 2*o**2 + 4*o - 12. Let r be l(t). What is r rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)\/l*l*l)**(-1\/34)*l*l**3*l\/l**0 assuming l is positive.\nAnswer: l**(1523\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3236.7 - -254.3. Let u = -3477.987 + x. Let j = u + -0.013. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(5\/6)*u)\/u)\/(u*u\/((u\/(u**(-1\/2)*u))\/u)))**(-48) assuming u is positive.\nAnswer: u**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 5, o: 6, e: 1, t: 1}. Give prob of sequence olo.\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/3)*p*p)\/p**2*p*p**(2\/9)*p**0*p*p*p*(p**(2\/3)*p\/p**4)\/(p**(2\/3))**(2\/13) assuming p is positive.\nAnswer: p**(365\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/18639, -53, -2\/5?\nAnswer: 1\/18639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8 and 7\/46329261.\nAnswer: 370634088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = o - 104. Solve 0 = -3*k - 4 + o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 + 3.3. Let r = 8.97 - p. Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*k**4 + 50*k + 1.\nAnswer: 732*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + (-38)\/11)*4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*c - 1765, -3*f + 2*c = -0*c - 1055. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/19, -32, -2, -0.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*f + 54 = -o - 1839, 4*f + 2*o = -74 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -15*x - 357 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129809\/20 - 6489. Let b be 169\/(-6731)*15897\/154. Let y = b - -6\/6731. Find the common denominator of l and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - l + 6*l - 1, 2*p = -2*l + 2. Suppose 0 = 4*b - p*o - 156, -2*b + 24 = 3*o - 38. What is the remainder when 662 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n + 40. Let o be v(-8). What is the highest common factor of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91 - 92) + (4 + (-1 - -3) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.8568828 - -27.85689. Let z = -1 + o. What is z rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -258 (b) 26208 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 14*w**2 - 16*w - 20. What is i(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**2 - 21*y + 496. Calculate i(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/40*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/21 - 40*x**3\/21 - 113*x + 3. Suppose a(q) = 0. Calculate q.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(105)*-1)\/(sqrt(40)\/sqrt(2)))\/(sqrt(192) + sqrt(3) + sqrt(12)\/(-3*sqrt(4)))*3.\nAnswer: 9*sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 652.\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24001016?\nAnswer: 2, 13, 230779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3483 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530739 by -176913.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.3 - 31. Let y = -0.45 - -0.09. Let i = k + y. What is the nearest to 0 in -1, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = 244. Let h = -40 + c. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 60 = -2*l - 5*p, 4*l - 46 = 5*p. Suppose 0 = -19*a + l*a + 1000. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-700)\/100*((-48)\/(-14))\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*i - 14*i**2 - 97*i - 95*i - 107*i - 93*i.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/6*s**4 - 1\/5*s**5 - 43\/2*s**3 - 19*s**2 - 3*s + 0. Differentiate n(b) with respect to b.\nAnswer: -24*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-4))\/(44 + -38). What is the closest to -1 in 0.17, x, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 + 4*p + 6. Let s be d(-3). Put 2, -5, 5, -3, s in decreasing order.\nAnswer: s, 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -943.58 take away 130.4319?\nAnswer: -1074.0119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 31341.\nAnswer: 814866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let n = 0.3 - 5.3. Let c = 175 + -524\/3. Sort n, r, c in increasing order.\nAnswer: n, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47600238 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 12*x**2 - x + 17. Let y(l) = l**2 + l. Let p(u) = d(u) - 4*y(u). What is the remainder when p(-7) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + 0 + sqrt(5) - sqrt(5))**2*-1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5914?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11.82 + -0.2\nAnswer: -12.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1290 = -5*w, 3*w + 30*q = 27*q + 774. Calculate the remainder when w is divided by 72.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 3, c: 7, h: 5, q: 3}. What is prob of picking 2 h and 1 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98112 and 24?\nAnswer: 98112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1155)\/(-12) - (-1 + 5\/4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1545138 months?\nAnswer: 0.001287615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.75 and -0.6.\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480365 = 5*v - 5*s - 1085, -5*v + 481471 = 2*s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -125. Suppose 2*u - 5*u - x = 0. Let t = 30 - u. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 18 + -5 + -1 + 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 164, 293, 492, 785, 1196?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = -6*y + 387. Which is the nearest to 1\/9? (a) 0.4 (b) y (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5481232 is divided by 4545?\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f**3 + 14*f**2 + 28*f - 8. Let h be u(3). Calculate the highest common divisor of 23 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*v**5 + 9*v**4 + 82*v + 14 wrt v?\nAnswer: 680*v**3 + 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6.6. Let y = -1.4 - f. Let q = y - -4.2. Which is smaller: 0.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4\/2 + 21*x**3 + 195*x**2\/2 + 186*x + 126 = 0. What is x?\nAnswer: -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 651.7476 litres?\nAnswer: 651747.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 12. Suppose 1 - 17 = -4*i. Suppose i*n - b = 22, 2*b = -5*n - 3 + 24. Let z be x(n). Solve z*m = 10, m + m + 2 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631932?\nAnswer: 2, 17, 103, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 + 19872*b\/5 - 19874\/5.\nAnswer: 2*(b - 1)*(b + 9937)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52519.43804 rounded to the nearest ten?\nAnswer: 52520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (2*sqrt(1573) + 0))**2 - (-5 + sqrt(1573)*1)**2)*-3 + (((sqrt(1573) + sqrt(1573) + 1 + sqrt(1573))**2 - sqrt(1573)) + -3)*-2*1 + 4.\nAnswer: -28231 - 440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s - h + 20, 0 = 5*s - h - 15. Suppose -6*x + x = -3*c - 42, -4*c - 45 = -s*x. Let d = c + 21. Solve -3*y = -5*l + 9, 2*l + d = 3*y - 7*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Let j be (o + -12)\/((-2 - -2) + -1). Let s = 11 + j. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*x = 83*x - 105 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - -1) + (14 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*x - 94*x + 154*x + 16*x.\nAnswer: 369*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 - 2156*j + 251. Calculate f(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 5*g + 3. Let a be d(-5). Suppose m - 5 = -a. Is ((-4)\/1)\/((-1)\/m) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.4 + -49.3. Let c = b + 33. What is c rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*d + 66 = 10*d - 10509 - 11865 for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17b0 - 2186?\nAnswer: -3966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/3*(8\/(384\/3))\/((-15)\/20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 + 4*l + 8. Let v be o(-2). Let s(n) = -n**3 - n**2 - 1. Let y(p) = -6*p**3 - 4*p**2 - 3*p - 4. Give v*s(a) + y(a).\nAnswer: -2*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101111 (base 2) to base 5.\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47669 and 23508?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21649 is divided by 349.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 696*p**3 + 50*p**2 + 694*p**3 - 30 - 1389*p**3 - 91 wrt p?\nAnswer: 3*p**2 + 100*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 - (-4 - (-2 - 2)). Let g = q + 59. Suppose 3*c = -c - 3*h + 208, 5*h = -c + g. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73.4 in -3, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077038 plus -0.3?\nAnswer: -0.377038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1232)\/(-88) + (-18)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9*47\/(-2). Let d = s - -16. Which is the second smallest value? (a) 3\/7 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -0.15, 57\/295?\nAnswer: 57\/295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/15 + d**4\/24 + d**2\/2 + 7*d. Let y(o) be the first derivative of a(o). Find the second derivative of y(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.92 - -0.08. Let q = -23\/7 - -309\/77. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -286.9 - -268. Let k = h + 18. Let j = -0.9 - k. Which is the nearest to j? (a) 4 (b) 0.1 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 9. What is the smallest common multiple of j(-1) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7*x + 4*x = 140, -168 = -4*q - 4*x. What is the remainder when 189 - 6 - (0 - -3)\/(-1) is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/4117 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 18*y - 21. Suppose 32*a - 10*a = -439 + 21. Calculate k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(729\/(-72))*(-39)\/364.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3 - m**2 - m. Let f = 41 - 29. Let v be 4\/(((-8)\/f)\/(-1)). Let y(l) = 7*l - 2. Determine v*i(w) - 5*y(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -8. Let s be 4*(-1 + 1\/4). Is s != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/351 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/47416124 and 42\/5.\nAnswer: 237080620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/((-6)\/9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1, -5, 494\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(162)*2 + -5)*-3 - ((((0 + sqrt(72) - sqrt(72)) + -1 - sqrt(72) - sqrt(72)) + -3)*2)**2.\nAnswer: -1197 - 438*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4614, -18456, -41540, -73878, -115482, -166364, -226536, -296010?\nAnswer: -374798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 1. Let v be o(-1). Let d(a) = -5*a - 2*a - 1 - 2*a + v*a. Calculate d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {w: 2, z: 2, g: 5, n: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -147 - c**4 + 39*c**3 - 163 - 2*c**2 + 465 - 160 in the form k*c**3 + m*c + w*c**4 + t*c**2 + s and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57489202 to the nearest integer?\nAnswer: 7582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/((-6)\/9). Suppose -2*m + 34 = -5*r, -3*m - 4*r = 4 - 32. Suppose 0 = h*b - m - 30. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/15 + 8\/20. Let h(m) = -3*m**3 - m**2 - m - 1. Let s be h(-1). Suppose -s = j - 3*j. Are d and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:03 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-85)*(-1921)\/(-226) + (-26)\/(-4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -171*b - 9 + 176*b - 15. Give a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4735.57743 - 99957?\nAnswer: -104692.57743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1*((-24)\/30)\/((-2)\/(-5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 23990*q + 119931. Give u(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 119978702 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3*m**2 - 4335*h**2*m**2 + 27*m**2 - 479 wrt h.\nAnswer: 6*h**2*m**2 - 8670*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/(-4)*78\/39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. What is the least common multiple of ((-11)\/4)\/((-35)\/(-20) + -2) and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/2*(-2485)\/525 and (-54)\/16*(-22)\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 1:05 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1008 - 184?\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, z: 3}. Give prob of sequence vvzv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/3)\/a**(-3\/5)*a**(-2\/5)\/(a*a**(-6)\/a*a) assuming a is positive.\nAnswer: a**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/174 and -5\/48?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 - 171. Let x(b) = 82 + b**2 - 25*b + 24*b + b**3 + c. Is x(0) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414 + 414 + 24*c**2.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x + 4*z + 40 = 0, -5*z = -2*x + 35. Solve 20 = -q + x*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8312861 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 4*k + 4*k - k**3.\nAnswer: -k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*h = 0, -5*h + 2 - 3 = 2*p. Suppose -4*a = -2 - 2. Let u(z) = 3*z + 1. What is the lowest common multiple of p and u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 94 (b) 0.2 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 7452894188?\nAnswer: -7452894190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/87)\/(((-9)\/15)\/(24\/(-60))).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 - 3. Let r = -2.9 - -3. Let c = 11 + -15. What is the closest to r in c, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2611 is divided by 119?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 + 10*z**4 - 5*z**4 - 1)*(-5*z + z + 2*z)*(12 - 5 + 21 + (3 + 3 - 4)*(2 + 1 - 4)).\nAnswer: -104*z**5 + 52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from jijsiwdiiij.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -411*v**2 + 1. Let n be f(-1). Is (-1 - n)\/((-3)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -17*v - 1. Suppose -5*o + 3*w = 13, 5*w - 10 = o - 3. Is y(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59704 (base 12) to base 5.\nAnswer: 12321434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 2. Let v be t(2). Let i = v + 26. 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 closest to -0.08 in 0.48, 2, -0.1, -10, -2\/9, -56?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -204143?\nAnswer: -204221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x*x**(2\/7)*x*x*x*x)))**(-3\/8))**(-1\/34) assuming x is positive.\nAnswer: x**(33\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 57 - 3*l + l - 51. Let n(s) = -s**2 + 6*s + 5. Let k be n(5). Let d be x(k). Let m(j) = 2*j**2 + 6*j + 2. Determine m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58919 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2080*i**5 + 2*i**2 - 27*i - 44 wrt i.\nAnswer: 41600*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4754 - -4753. Suppose -3*z + 2 = 5. Is a >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 16*y - 3. Let i be h(5). Suppose -4 = i*b - 10. Is (3 + -954)*(-1)\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -305) + 1\/(-1)*-3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41942535?\nAnswer: 3, 5, 31, 90199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + 342. Suppose -428 = -8*r + a. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10239 is divided by 142.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + (-5)\/(20\/16). Suppose -4*v - 3*c = -0 - m, 0 = 5*v + 5*c - 10. What is the second biggest value in -4, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*g - 21. Suppose 0 = 3*t - k - 9, -5*t + 5*k + 16 = g*k. Find l such that -4\/11 - 2\/11*l + 2\/11*l**t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10401 = -1975*q - 27124 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b*h**2*u + 12*b*h**2 + 74*b*h*u**3 - 8884*h**2*u**3 + 35*h*u**2 - h*u wrt b.\nAnswer: 7*h**2*u + 12*h**2 + 74*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - x + 1 + 3, 4*x - 16 = -3*u. Suppose u = q + 5*t + 22, 4*t = q - 11 - 12. Let o(z) = 3*z + z - q*z. Let g(h) = 4*h**2. Determine o(g(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 2*c**3 - c**3)*(1 + 4 + 0) + 0*c**3 - 2*c**3 - c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -54915813.\nAnswer: 164747439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - (-12)\/336. Which is the closest to 2? (a) -2\/9 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.02 (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 191?\nAnswer: 95.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147070579, -147070581, -147070583, -147070585, -147070587?\nAnswer: -147070589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + z + z + 2 = 0, -h + 13 = -3*z. Suppose 3*f = -f. Put h, -1, f in ascending order.\nAnswer: -1, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x + 1. Let n be (-5)\/(-10) - (-7)\/2. Suppose -m - 60 = -3*a - n*m, -3*a + 84 = -5*m. What is the remainder when a is divided by l(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2959 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 17444818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(b**4 - 6*b**5 + 2800 + 3*b - 2800).\nAnswer: -12*b**5 + 2*b**4 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -35*x**2 - 981*x - 31. What is a(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + -0.54. Suppose 0 = -3*n + 16 - 10. Which is the second smallest value? (a) n (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5515 + -335040?\nAnswer: -325121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 24*a**2 - 2*a - 3. Let v be b(-1). Find the second derivative of t**3 + 38*t**2 - 3*t**3 - 13*t + 2 + v*t**2 + t**3 wrt t.\nAnswer: -6*t + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543662 (base 7) in base 15?\nAnswer: -43020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163435?\nAnswer: 5, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -267898880 rounded to the nearest 100000?\nAnswer: -267900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125646 divided by 6.\nAnswer: -20941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*j + 315. Suppose 0 = -6*r - 189 + j. Let a = r + 37. Calculate the greatest common divisor of 128 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + y)*((-y + 0*y + 2*y)*(-3 + 7 - 2) - y - y + 3*y + y - 7*y + 4*y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/54 and -55\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 28652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3)\/((-4)\/(-28)). Solve -4*m = 2*f + 28, 3*f = -0*f + m - s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 987*g**2 - 29*g - 97. Is j(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37027 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*z**3 + 92*z**3 - 287*z**3 + 98*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 9. Determine z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580.2 - 471386.\nAnswer: -471966.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 14*r - 147. Let h(f) = -5*f**2 + 7. Suppose 5*s - 2*s = 12. Suppose -s*z - 78 = -17*z. Let x(a) = 5*a**2 - 6. What is r*x(p) + z*h(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1947 divided by -3?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + 0 + (-17 - 2 - -21) + 89 + -85.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:14 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + b + 14, 51*v + 4*b = 57*v + 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and 56506255.1594?\nAnswer: 56506273.1594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 335897, 335856, 335815, 335774, 335733, 335692?\n\"Answer: -41*b + 335938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from ngnggn?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/114 and (-2)\/(6384\/5362) - -2.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-848.\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 212293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12847 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -145*p + 5 + 312*p - 169*p - 4*p**2. Give w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -5, -4\/13, -4 in ascending order.\nAnswer: -5, -4, -4\/13, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737880 is divided by 156.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*sqrt(833)*1 + (5 + sqrt(833) + -3)**2 + 5 + -2.\nAnswer: 70*sqrt(17) + 843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14995, -30041, -45171, -60427, -75851, -91485, -107371, -123551?\nAnswer: -140067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 6. Let q be z(0). Let m(f) = f**3 + 6*f**2 + f + 8. Let o be m(q). Let r(k) = -4 + 4*k**2 + o + 1. Give r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -78437\/4 and -19610 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2*r**3 + r**2 - r**2) - 11875*r**3 - r - 11872*r**3 + 123 + 23750*r**3 - 2*r**2.\nAnswer: r**3 - 2*r**2 - r + 123","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1795, 3192, 4801, 6622, 8655, 10900?\n\"Answer: 106*o**2 + 1079*o + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t = -15. Suppose t*l + 2 = 2*l. Let x(v) = -8*v**2 - 3*v + 3. Let c(y) = 17*y**2 + 6*y - 6. Let u(n) = l*c(n) - 5*x(n). Factor u(j).\nAnswer: 3*(j + 1)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(4)*6 - sqrt(3993)*-1)\/(sqrt(176)*1 - sqrt(110)\/(1*sqrt(10))))**2.\nAnswer: 289\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*c + 5*c - 27 = 0, 4*c = 2*n - 48. Calculate the smallest common multiple of 2 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001013 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 46. Suppose -13*u + 76 = -10*u + 13. Solve b + u = a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from hxbbbxb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g**2 + 3*g**3 - 5*g + 46*g**2 - 5*g**2.\nAnswer: 3*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -842939\/3 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.95 - -0.05. Let x = -7 + 2. Let p = -5.3 - x. Which is the second smallest value? (a) 5 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14752 and -231.\nAnswer: -34.07712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 1. Calculate the remainder when (50 - 1 - 2) + -1 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -446 * -6.5.\nAnswer: 2899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5 + -873.34804897?\nAnswer: -880.84804897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.12882328 to 1 decimal place.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21126 (base 7) in base 13?\nAnswer: -24b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = -52*g + 150 + 162 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 + 3*q**2 + 2*q**3 + 64*q**2.\nAnswer: 2*q**3 + 52*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*y**2 + y**4 - 3*y**4 - y**4 + 5*y**3 + 3*y + 4*y**4 - 2*y**3 to o + x*y**2 + q*y**3 + w*y**4 + s*y and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18688 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 283*v - 20772. Determine s(74).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*w - 19. Let r be ((-128)\/w + 3)\/(-1). Let m = -1 - -1.1. Which is the closest to m? (a) r (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from nnjnntjjnntn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2896165 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 121*r - 36. Let t be m(-40). Let o be 3 - (-3 - -6 - 16). Suppose 5*i + 7 = -t*v, -i - o = -5*v + i. Solve -2*a - 4 = v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3343448.\nAnswer: 2, 417931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**2 + l - 1. Let n = 9 - 4. Suppose 3*g - 19 = n. Suppose 0 = g*d - 3*d - 5. What is k(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9 + 4*h - 7 - 4.\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006627061 rounded to six decimal places?\nAnswer: -0.000663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5, 1, 25, 26, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 58 = -0*x + j - 85, 0 = 11*x - 2*j - 61 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8\/(t\/t**(-7)*t)*(t*(t*t*t**(1\/4))\/t)**(-1\/17) assuming t is positive.\nAnswer: t**(-77\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/923661 or 0?\nAnswer: 1\/923661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*70\/100)\/((-4)\/10).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/((-2)\/(-12)). What is the units digit of (6\/15)\/((-1)\/s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/14*7 - 15\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387 - 131. What is the greatest common factor of 32 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35233.\nAnswer: 11, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose v = -0*a - 4*a - 20, 0 = 3*t - 2*a - 19. Suppose f = 3*r - 10, -t*f - 11 = -3*r - f. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -10, 0.2, 4\/5.\nAnswer: -10, 0.2, 4\/9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 1. Suppose 36 = -w + d*w. Let u be ((-20)\/25)\/(3\/(-15)). Solve w*k - 4*k = u*s - 2, 3*k + 3 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5 - 2 + 3 + 1 + (2 + 3 - 3)*(1 + 1 - 3))*(3*h - h - h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 727, 719, 709, 697, 683, 667?\n\"Answer: -b**2 - 5*b + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 2.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -162 + 183 + 0 + -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:17 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23 + -20 + -5 + 1. Let a be -1*(m + (-6)\/(-5)). What is the second biggest value in -5, a, -1\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/9 and -5\/792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373300 rounded to the nearest 10000?\nAnswer: -2370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + -63. Let w = d + 78.0000091. Round w to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36693588 + -253185757921\/6900. Let z = 23\/300 - u. Let l = z - 1\/69. What is the third smallest value in -1\/5, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 3 = -15*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/120 + k**3\/3 - k. Let h(o) be the second derivative of r(o). Let s(b) = -23*b - 14*b + 34*b. Determine h(s(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/84*-1)\/((-3674)\/4008)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 174?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2296365368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, r: 3, e: 4, b: 3, m: 2, w: 1}. Give prob of picking 1 s and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7596 + -7567. Solve -n - 15 = 11*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2484 and 334800?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10125122 and 19\/10125122.\nAnswer: 10125122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2701)*(-222925)\/(-12050).\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -689.763024 rounded to 0 decimal places?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19955 is divided by 150.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 - 231. Sort 1, -49, v in decreasing order.\nAnswer: 1, v, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7360, 28920, 64674, 114622, 178764?\n\"Answer: 7097*i**2 + 269*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 217*v**2 + 686*v - 240.\nAnswer: (v - 40)*(v - 3)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 5*h + 15, 0 = 3*b + 5*h + 1. Let o be (3\/b)\/(2\/4). What is the second smallest value in o, 1\/7, 4\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43945 minus 2093?\nAnswer: -46038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-22))**(-4\/11)\/(f**(-19\/3)\/f*f**(-19)) assuming f is positive.\nAnswer: f**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9767.451nm to kilometers.\nAnswer: 0.000000009767451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:09 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-437)\/(-22))\/(-19) - (-138)\/253\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*l - 5 + 3.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5, 2*j - 60 = -3*g + 5*j. What is the second derivative of g*d**3 + d + 2 - 4 + 2 wrt d?\nAnswer: 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 11. Let v = 0.26 - 0.26. Let y = 7.6 + -8. What is the second smallest value in k, y, -4, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9873538um in meters?\nAnswer: 0.0000009873538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 3*z**2 + z + 3. Let t be r(-2). Suppose 4*b = -d - 20 - 5, 4*d = t*b + 5. Let y = -3 - b. Let k(s) = -s**2 + s - 1. Determine k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 6*t - 5. What is the remainder when f(4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(171)*-1*5)\/((sqrt(9) + sqrt(36))*-4).\nAnswer: 5*sqrt(19)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 33. Let s = 7 - 36. Let p = m - s. Solve 2*t + 2*t = -p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3595, -3\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2 - 2, -8*d + 5*d - 5*d - 416 = -4*t for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 * -0.2645\nAnswer: -0.14283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (6 - 7) + -5 + 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543808960?\nAnswer: 2, 5, 43, 39521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(20\/15)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 27 = -5*q, -2*q + u = -3*q. Solve -k - q*f = 12, 3*k + 3*f + 12 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5199?\nAnswer: 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10333 + -21?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 1292 + 435 = 350. Calculate the greatest common factor of 2817 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 274 and -1101.\nAnswer: -301674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/8 - 3\/(-24). What is the third smallest value in -5\/4, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 1\/14*o**4 + 17\/7*o**2 - 40 - 20\/7*o - 16\/21*o**3. Factor l(x).\nAnswer: 2*(x - 5)*(x - 2)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -699246528*j**3 + 292473881*j**2?\nAnswer: -4195479168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 0.06 (c) 0.3 (d) -0.049 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-2)*(4068\/108 - 37)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (6*(-2 + -6*-1*sqrt(8)))**2.\nAnswer: -1728*sqrt(2) + 10510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 - 3*k**2 - 3*k - 3. Let q(y) = -7*y**3 + 4*y**2 + 4*y + 4. Let w(b) = -b**3 - 10*b**2 - 24*b - 3. Let h be w(-4). What is h*q(i) - 4*u(i)?\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - 6. What is the derivative of z - 3 + 22*a**2 - 12*a**2 wrt a?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497*g - 349 = -501*g - 97. 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 i(g) = -6*g. Let a(l) be the second derivative of 28*l**4 - 924*l. Calculate a(i(y)).\nAnswer: 12096*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 123*f**3 + 60*f**3 + 45*f**3 + 1 - 1.\nAnswer: -18*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -15*q**2 - 4*q. Let j be -2 - (15 - (-11 + 27)). Let v(x) = x**2 + x. Calculate j*l(n) - 4*v(n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**6\/12 + 5*q**5\/8 - 5*q**4\/4 - 5*q**3\/3 + 10*q**2 - 7*q - 3. Factor c(b).\nAnswer: -5*(b - 2)**3*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2016\/60*(-105)\/(-63). Solve y*q = 184 + 96 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1047 + -465. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 5 + 0 + 2*o. Let r be a(4). Solve 4*d - z = r, 5*d = 2*z + 2*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:48 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4d (base 14) in base 16?\nAnswer: -7ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24529, -49028, -73497, -97936, -122345?\nAnswer: -146724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 41 - 158. Let x(m) = -11*m**3 + 11*m. Let z(h) = 5*h**3 - 5*h. What is k*z(p) - 6*x(p)?\nAnswer: p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -21294649*m**2. Let u(x) = -3*x. What is u(w(j))?\nAnswer: 63883947*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0, -3\/13, 227, 20?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -436 - 166. Is z a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**2 + 3480*w - 605520 = 0.\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = -0.07449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 + (-69)\/(-21). Let j(z) be the first derivative of z**2 + z + 1\/3*z**y + 3. Determine j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30 and 1221620.95.\nAnswer: 1221590.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -774 divided by 6?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 1)*-1 + sqrt(7) + 2 + -5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose 25 = s*c + c. What is the smallest common multiple of c and (-1)\/(-2) - 5\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9265 or 2\/7?\nAnswer: 9265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4902*v**3 + 2546*v**3 + 5055*v**3.\nAnswer: 12503*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:50 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 6821870.\nAnswer: -13643740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-15)*100\/(-15). Let x = m + 10. Suppose -x*g + 13 = 3*o, 2*g = g + 2*o - 4. Solve p = -2*f + 8, -g*f = -3*p - 2*p + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -148, -292, -432, -568, -700?\n\"Answer: 2*o**2 - 150*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2261331?\nAnswer: 2261329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -1 - (3 - 2). Let k be (-4)\/(-6)*(s + -1). Suppose 38 + 28 = k*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g + 5*a - 9 = -67*g, -5*g - 31 = -7*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20750 + 10374 - 8*y + 10376.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10871270 divided by 2174254?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4125577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-840)\/180)\/((-4)\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6081 + -6065. Solve -28*k + 32*k = 4*t + s, -k = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13b (base 15) to base 6\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 898 times 0.3?\nAnswer: 269.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11590 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(119) - sqrt(119)*-2*1)\/sqrt(7))**2)*-2.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4 = 2*x + 5*j, 4*x + 4*j = 8. Let m(f) = 1 - 2 + 1 - 4*f**x. Let t(l) = -2*l. Determine t(m(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:22 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.34 - -2.5208. Let r = j + -0.0318. What is r rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -40*r - 43. Let d be z(-2). Let t(j) = j**3 - 38*j**2 + 46*j + 74. Is t(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 5. Let w be k(8). Let l(g) be the third derivative of -g**2 - 1\/24*g**4 + 0 + 0*g + 2\/3*g**3. What is l(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p. Suppose 54 - 30 = 12*j. Solve -j*x - 5 - 3 = p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28512 and 1577664?\nAnswer: 4732992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 1\/4 (c) 176 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b - 2. Let v be i(2). Let p = 10 + v. Solve -4*y - 19 = -3*u, 4*u - 2*y - p + 6 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 + 176*g + 362. Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 18*w - 4. Let a(k) be the second derivative of -17*k**3\/6 + 3*k**2\/2 + 282*k. Give -4*a(b) - 3*s(b).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.061, -2\/3, 1\/8, 0, -678?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let w be r(0). Suppose w*s = 4*s - 84. What is the remainder when s is divided by (29 + -17)\/(6\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 467792239 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u**3 + 12*u - 1 + u**3 - 4 - 14*u**2. Suppose 5*n - 9*m - 75 = -10*m, -2*n + 3*m = 4. What is y(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68170270027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 4, e: 3, x: 4, y: 1}. Give prob of picking 3 x and 1 y.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 67. Calculate the remainder when 69 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskzsgssslkkgok. What is prob of sequence kl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 25*u + 4. Calculate the remainder when l(9) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 14}. What is prob of picking 2 n?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1216405 millilitres to litres.\nAnswer: 0.0001216405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-9)\/(-6))\/((17\/(-1140))\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.95663609 to three decimal places.\nAnswer: -3.957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 514976 and 4256?\nAnswer: 514976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (-57 - (-88 + 13))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z - 39*z + 123*z - 39*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273200 rounded to the nearest ten thousand?\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from eeeeeeeeeedee.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:07 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6294.992023 to zero dps.\nAnswer: -6295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*k + 48 = 4*m + 100*k, 3*m = k + 24. Solve -m*p = 8 + 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2954 and 442847433?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (31*(-9)\/108)\/((-2)\/136)*27 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 13*i - 1. Let d be q(13). Let y = 1 - d. Suppose -a - y = -23. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199532551423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7287 and 932736?\nAnswer: 932736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/9 - 320321*v**2\/9 + 13771996*v\/9 - 4483892\/3 = 0. Calculate v.\nAnswer: 1, 42, 320278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4363434.\nAnswer: 2, 3, 242413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2890*l**3*s - 8577*l**3 + l**2*s - l*s + 2 wrt s?\nAnswer: 2890*l**3 + l**2 - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + 9 + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 111 - 955 = -64*q. Let c(u) = -5*u + 67. Give c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-5)\/105*-6*(-3)\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -4 + (1 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 704382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + 376*w + 285. Give z(-62).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 7*v - 60. Suppose -4*b - b = -v. Is 87 - 2\/b*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = -3*n - 21, 4*u + 5*n - 39 = 0. Find the second derivative of -u*k + k**5 - 3*k**5 + k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3\/2 - 37*f**2\/2 + 14*f. Let r be h(-13). Solve 4*b - 17 = -5*t, r*t - t = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 1. Let w(j) be the second derivative of -13*j**3\/3 - 9*j**2\/2 - 22*j. Let s(l) = w(l) - 4*y(l). What is the hundreds digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*a**5 + 2600*a**4 - 7626*a**3 - 10816*a**2 + 1224*a + 1664 = 0.\nAnswer: -1, -2\/5, 2\/5, 16\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204*b**2 - 483*b**2 + 2 + 16*b**2 - 153*b**2 - 2*b to r*b**2 + q + y*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.119 and -6.\nAnswer: -6.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**3 - 27*b**2 - 27*b + 36. Let q(x) = x**3 + 4*x**2 + 4*x - 5. Let g(k) = 27*q(k) + 4*w(k). Differentiate g(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w = -161 + 513 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -984271999 divided by 5.\nAnswer: -984271999\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -111*s**2 + s + 7. Let p(v) = 223*v**2 - 2*v - 14. Let k(c) = -6*p(c) - 13*y(c). What is the second derivative of k(h) wrt h?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -353\/5. Let m = -27.38 - -2.28. Let l = -25 - m. Which is the third smallest value? (a) l (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -166834 and -0.029?\nAnswer: 4838.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 0.01833093587?\nAnswer: -0.61833093587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -122651, -122639, -122627, -122615, -122603?\n\"Answer: 12*m - 122663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89342.\nAnswer: 2, 11, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -3\/8*o**3 + 0 + 1\/16*o**4 - 3\/2*o**2 + 23*o. Factor z(s).\nAnswer: 3*(s - 4)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(54)\/((sqrt(27) + sqrt(54)\/sqrt(2))\/sqrt(3)))\/(3*((sqrt(72) - (sqrt(72) + sqrt(72)*1)) + sqrt(72) + sqrt(16)\/sqrt(2))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14959490.\nAnswer: 2, 5, 7, 13, 17, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -17*n**2 - 2*n - 4. Let k(b) = b**2 + b + 1. Let a(o) = -c(o) - 3*k(o). What is the units digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4635 (base 7) to base 10.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4.953. Let r = -0.953 - f. Which is the closest to r? (a) -16 (b) 2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f. Let o be (-2)\/(-8) - 285\/(-60) - 2. Factor -8\/7*j**2 + 8\/7*j + 2\/7*j**o + f.\nAnswer: 2*j*(j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574889 is divided by 627.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17077 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 218580*b - 19. Let r be s(-14). Let f = r - 439861. What is f rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - (-157)\/1256. Which is the second biggest value? (a) 3.1 (b) -0.3 (c) 2\/3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - 518\/5. Let r = -13\/33 - -461\/165. Factor r*d**3 + 8\/5*d**4 + 8\/5*d**2 + q*d + 0 + 2\/5*d**5.\nAnswer: 2*d*(d + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/18*(-76)\/3. Let l(p) = 38*p - t*p + p**2. Let z(f) = -14*f. Determine l(z(s)).\nAnswer: 196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-47 - 98*n + 57 - 10).\nAnswer: 98*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 49, 29, -1\/34, 21\/5, 2?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 945 - 940. Solve 0 = h*c + 5*j + 20, -c + 6*c - j - 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 9*a**2 - 7*a - 16. Calculate s(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52985*x**6 + 12189*x**2?\nAnswer: 6358200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6929a + -4?\nAnswer: 69296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:25 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqcq when four letters picked without replacement from {c: 2, q: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70534, -141066, -211654, -282292, -352974, -423694?\nAnswer: -494446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6)*14\/7. What is the units digit of ((-1)\/(2\/r))\/((-1)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1748 and -45\/161.\nAnswer: 12236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*j - 3*j = 352, 2*d - 4*j = -704. Let c = 1359 + d. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18*-10*(-108)\/30*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1536 and 585456?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 12 = 4*m. Suppose 0*n + 4*n - m = 0. Suppose -n + 1 = -a. Solve 0 = -2*v + 2*p - 4, 12 = -a*p - 0*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/3 + 2*i**2 - 3*i - 2. Suppose 0 = -d + 4. Suppose 3 + 0 = d*y - m, -2*y = -m + 1. Calculate g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.30571 rounded to 2 decimal places?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*m, 2*b - 4*m - 22 = -0*m. Calculate the least common multiple of b and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 u when three letters picked without replacement from oawcuuwt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/50066734 and -35\/12?\nAnswer: 300400404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8 - 19) + 22)\/((-69)\/(-6)). What is the third smallest value in f, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -19 - (1 + -5 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 3, u: 1, m: 1, c: 2, p: 4}. What is prob of sequence hp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -9304, 4?\nAnswer: -9304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 393*p + 505. Calculate c(-194).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 502\/7 + -6568\/91. What is the smallest value in -3\/5, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9559.66 from 2888225.3.\nAnswer: 2897784.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/2, 2\/11, 0.02?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Let c(g) = g + 9. Give c(v(p)).\nAnswer: -p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 + q**2 - 4*q**2)*(18*q**2 - 3*q**2 + 3*q**2) - q**4 + 3*q**4 - 4*q**4 to c*q**4 + u*q + x + r*q**3 + h*q**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -5*v + 1 + 1\/2*v**2 + 1\/3*v**3. What is y(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72046\/217 - -332. Let i = 416\/1953 - j. What is z in 2\/9*z**3 + i*z**5 + 4\/9*z**4 + 0 + 0*z + 0*z**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 minutes after 6:10 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -80*m - w = -85*m + 17, 2*w + 2 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(8\/64*2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/7, 3, -24, -3, 0.0474?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 32*q + 4 = 0. Solve -14 = -4*t - q*p, 0 = -5*t + t - 5*p + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, -53, -0.1, 20 in ascending order.\nAnswer: -53, -3, -0.1, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4) + 3*(-14)\/(-21)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 - 2. Let y be (-34)\/(-4) + 4\/(-8). Suppose 0*c + 4*c + y = 0. Let w be f(c). Calculate the highest common divisor of 240 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1825 and -22.\nAnswer: 40150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4368 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omc when three letters picked without replacement from {m: 2, c: 5, o: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(10*(-15)\/20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10479058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -6 (c) 32 (d) -3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5 times 0.97?\nAnswer: 14.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 4:46 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15213089000 rounded to the nearest 1000000?\nAnswer: 15213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.918 + 5.082. Which is the second biggest value? (a) -5 (b) o (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9002420 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -3 + 0 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -170 + 574. Let c = m + -146. Which is greater: -43 or c?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**3 + 33*h**2 + 13*h - 16. Let r be k(5). Let p(a) = -a + 8. Calculate p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**3\/3 + 33*y**2\/2 - y. Suppose 0 = -65*f + 69*f - 56. Let x be g(f). Which is the nearest to 2\/3? (a) -2 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 10*d**2 - 11*d - 1. Give m(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16136.\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8903 - -8907. Which is the fifth biggest value? (a) -3 (b) 0.4 (c) -1\/2 (d) 6 (e) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -3, -6\/1855, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120)\/(sqrt(5)*-2))\/(3*(sqrt(108)\/sqrt(4))\/sqrt(9)*-4))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25325\/117 + 601\/13. Let k = a - -170. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3239 and 1066?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 9541. Let r(v) = -v - 9552. Give 5*a(i) - 6*r(i).\nAnswer: i + 9607","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -2056?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3 - d**2 - 31*d.\nAnswer: -12*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4136305 and 34445.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:10 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4895, -3, 3, -2\/9, 0.5 in increasing order.\nAnswer: -3, -2\/9, 0.5, 3, 4895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7*d - 4*d = 15, d = 3*z - 17. Suppose -8*v + z*v + 28 = 0. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378782542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/702*(-399)\/10 and 103\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 93, 134, 175, 216, 257?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2034*y**2 + 2028*y**2 - 4063*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1185*y**4 + 157410*y**3 - 2*y**2 + 69613*y - 37.\nAnswer: -28440*y + 944460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*v + 2 + 86 = 0, -50 = -h - 3*v. Suppose -2*u = -0*u - h. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 1:03 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 6 = 3*s + 10, -2*s + 3*f - 5 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 49985 = 3*k + 226358, -5*m + 4*k = -293949. List the prime factors of m.\nAnswer: 3, 5, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + (-39 - (-59 + 22 + -6 - -25))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1422 and 29072?\nAnswer: 261648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 + 33. Let a = w - -372. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 64 + (-40 - -38).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/7, -0.5, -9.1, -2\/9, -117, -5, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6477 divide 1095455900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 29?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13570 in -0.4, 1\/4, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -231531 and -0.139.\nAnswer: -231531.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iififufiiffudiii. Give prob of sequence du.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 6954?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/14 - (-120)\/140. Solve 0 = -3*f + b*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1619*t**2 - 644*t**2 + 522*t**2 as s + q*t + z*t**2 and give z.\nAnswer: -1741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 347227 and 294?\nAnswer: 102084738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 196 = -6*n. Let i(h) = -h + 8. Let w be i(9). Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 368\nAnswer: 3\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let f(k) = 2*k**2 + 6189. Calculate u(f(o)).\nAnswer: 8*o**4 + 49512*o**2 + 76607442","meta":{"dup_signals":{},"source":"polynomials__compose_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 -4*d = -2*d - 10. Suppose -h + 3*z = -z - 28, -h - 8 = d*z. What is the highest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23464.1 nanograms in grams?\nAnswer: 0.0000234641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -6. Suppose -4*h = -5*d - 188, -12*h + 280 = -7*h + 5*d. Calculate the greatest common factor of h and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -5*f + 2*s, 82*f + s + 93 = 86*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 627 + -625. What is the smallest value in d, 266, -1\/5, 1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 98.70561 tonnes?\nAnswer: 98705610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80, -165, -238, -293, -324, -325?\n\"Answer: s**3 - 92*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, 25, 23, 19, 13?\n\"Answer: -r**2 + 3*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -16*i - 60. Let b be v(-4). Sort b, -1, -13, 5.\nAnswer: -13, -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-2)\/(-8)*-42*13\/(-117).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -187*q + 3. Is w(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4005941*a**2 + 336715 wrt a.\nAnswer: -8011882*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -5, -37, -93, -179, -301, -465?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/5 and 95\/292?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.1208 + -131171556\nAnswer: -131171553.8792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1427 + -1432. Which is the nearest to 2? (a) -9 (b) p (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 1285 - 1285.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:10 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16042328 and 28760?\nAnswer: 80211640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39144.\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16120605, 16120604, 16120603, 16120602?\nAnswer: 16120601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 109.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -131 + 59*k**2 + 129 + 42*k**2 + 3*k**2 - 2*k**2 + k**2 + k**2 + 0*k + 0*k + (2*k - 3*k - k)*(-2*k - 4 + 4) in the form w*k**2 + m + a*k and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 3, -6 in decreasing order.\nAnswer: 10, 5, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9995790349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002359714 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(833))*-6*-5 + 3 + -2*sqrt(833) + (sqrt(833) - (sqrt(833) + -1)*-2)**2.\nAnswer: 112*sqrt(17) + 7537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*c*m**2 + 2*c*m + 385*m - 1 wrt m?\nAnswer: -228*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 7*x - 1. Let w be g(-6). Let s(p) = 5*p - 17. Let r be s(4). Sort w, r, 1.\nAnswer: 1, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8121*d**4 - 3573*d wrt d?\nAnswer: 97452*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/(q*q**(-1\/4))*q)**(1\/13)*q**(2\/3)\/(q*q**8)*(((q**(-4\/3)*q)\/q)\/(q*q**(-9\/2)))**(3\/2) assuming q is positive.\nAnswer: q**(-371\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86817\/83 + 1046. Let b = c + -2165\/581. Which is bigger: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17*k - 7. Let l be s(-1). Let d(f) = -6*f + 47. Let o be d(l). Are o and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6262674 to two dps.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16259.\nAnswer: 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-7)*6\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 1, 214958 in descending order.\nAnswer: 214958, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3932*i**2 + 3937*i**2 + 3844*i**2 - 11674*i**2.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*5\/25 + (-20)\/(-5). Solve l*c - 1 + 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 + 67 = -10*q. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.76 + -25. Let w = y - -0.24. Let f(m) = m**3 - m**2 + 4. Let l be f(0). Which is the biggest value? (a) 0.5 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072408 (base 9) in base 6?\nAnswer: -35445355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 169. Suppose 0 = 2*s + 4, -r - 3*s - n = -4*r. Let w = r - 29. Solve -j + 4*x + 8 + w = 0, -4*x = -4*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3876)\/(-144))\/(-19)*(24 - (13 + 8)).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -169\/4 (b) 26\/37 (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**5\/12 - n**3 + 2*n**2. Differentiate k(y) wrt y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5033, -21649, -49341, -88109, -137953?\nAnswer: -198873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1*-10*(-1)\/(-2). Suppose o*h - 5*q - 295 = 3*h, -4*h - 2*q = -626. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9492 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 163\/326*20\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/9)\/((-2)\/102)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*z + 2*v + 346, -5*z - v + 443 = 0. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*k - 7 = -k, -5*l = 5*k + 5. Let v(p) = p**2 - p - 10. Let n be v(-3). Let j = -3 - -3.1. Sort n, l, j.\nAnswer: l, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-4 + 7 + -14 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, -0.4, -42 in descending order.\nAnswer: 159, -0.4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 l when four letters picked without replacement from ppppppwpwwwwplpwppp.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -52.\nAnswer: 4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 25 + 24*t - 7*t + t**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -161\/25?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 45. Solve 0*f = f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 + 10 + -1 - (-10 + 15 - 21))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 235 = k. Let l(p) = -p**3 + 6*p**2 - 6*p + 4. Let b be l(6). Let o = b + k. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1430133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 128 = -f. Suppose 5*l + 24 = -0*s + s, -4*l - f = -4*s. Suppose 0 = 2*o + 13 - 55. Calculate the highest common factor of o and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -42. Let q(y) = -18926*y + 4 + 0 + 18922*y - 9. Determine q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 16, 5, -44, 3 in descending order.\nAnswer: 16, 5, 3, -30, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51531813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -8, 4.9, 0.1, -0.2, -2.75?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3586.63662 from 0.\nAnswer: -3586.63662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 481069 + 14?\nAnswer: 481083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2. Let u be 0\/(-2 + 2 - -3). Let v(h) = h**3 + 8*h**2 + 6*h - 2. Let i be v(-7). Let o(g) = u*g - i*g + 6*g. What is p(o(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 8, 6*p - s - 78 = 2*p. Calculate the remainder when 96 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 100, -11, -0.4 in decreasing order.\nAnswer: 100, 3, 2, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:58 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 900 = -12*f. What is the common denominator of 101\/36 and (f\/77)\/(36\/63)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -68*q. Let v(n) = 2*n**2 + 3611312*n. What is v(c(y))?\nAnswer: 9248*y**2 - 245569216*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10109, -20221, -30335, -40451?\n\"Answer: -w**2 - 10109*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let n(u) = u**2 + 5*u + 8. Let d be n(-6). Let f(r) = -r + 19. Let v be f(d). Sort v, -3, c.\nAnswer: -3, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/23, 82, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-152350)\/11)\/(-10) - 6?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 1794.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/220 and (-234*5\/(-50))\/(-8)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -17. Let f be (-30)\/(-93)*(-4)\/11. Let x = -2\/31 + f. Which is the nearest to 1? (a) x (b) 4\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-2)\/10*(19695\/(-468))\/(-101)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427367 a multiple of 1794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*j + 15 = -5*k, 5*j + 25 = -3*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-4 + sqrt(720)*-1 + sqrt(720))*-6 + (sqrt(720) + -3)*-4 + (2 + 4*sqrt(720) - sqrt(720)))*-1)**2.\nAnswer: 3120*sqrt(5) + 17620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 3362.\nAnswer: 10086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 9:21 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -260, -581, -972, -1463, -2084, -2865, -3836?\n\"Answer: -5*j**3 - 5*j**2 - 271*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*b + 12 = -101*b. Let q(z) = 5 - z**3 + 51*z + 17*z + 8*z**b - 71*z. Give q(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - 10\/6. Let x be ((-5)\/20)\/(1\/g). Is x bigger than 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 0, 11*x - 6*x + 789 - 108 + 684 = -35*z for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 18, a: 1}. What is prob of picking 2 u?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15902867 and 300.\nAnswer: 15903167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 12, -1\/2, 0.1, 2\/51, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.92 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090\/83 != 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-10) + (-94)\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:42 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*y + i, -4*i + 1 - 15 = y. Let d = y + -2. Suppose 0 = -d*q - 3*q + 66. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/78 and -23\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 42. Let w = 92 + v. What is the least common multiple of 72 and w?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 803826?\nAnswer: 4822956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -2*x + x. Let d = x - -77. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 104*t. Let y(f) = -13*f - 22. Let k(p) = 7*p + 12. Let m(v) = 11*k(v) + 6*y(v). Give m(g(b)).\nAnswer: -104*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -39. Let y(b) = b - 13. Let g be y(n). Solve -8 = g*a - 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/60 - 3*l**4\/8 + 7*l**2. Find the second derivative of a(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27331 and 9231.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 0*y - 100*y**3 - 4*y - 4*y + 244.\nAnswer: -100*y**3 - 7*y + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 10 + (944 + -3 - -5). Suppose 0 = 3*t - 2*n - 2390, 5*t - s - 3069 = -4*n. Is 80 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 10*j**2 + 10*j - 21. Let c be l(9). Let a be -5*c*5\/25. Let f = 31 - a. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3\/139024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.3, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 7*m**3\/3 + m**2\/2 - 60*m. What is j(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.2 rounded to 0 decimal places?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 35, 67, 109, 161?\n\"Answer: 5*m**2 + 7*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10278919*q**2*w - 15448*q**2 - 481 wrt w?\nAnswer: 10278919*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o**2 + 291*o**2 - 16*o - 24*o + 54*o**2.\nAnswer: 300*o**2 - 40*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4147, 4, 5, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220 + 1110?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15392)\/113835384 + (-4)\/346?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189761500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -54.9. Let q = t + 4. Let o = -4.953 + -0.047. Which is the nearest to q? (a) 0.3 (b) -5\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - 325*a**2 + 3800*a + 2. Determine g(95).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10*18\/240*8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 85*w)*(6*w + 7*w - 14*w + 11*w**3).\nAnswer: -935*w**4 + 85*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10 + 22 - 3 + k. Let v be t(-5). Let u = 133 - 261\/2. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - 0.5. Let f = j - -3.68. What is f rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, n: 2, w: 1, y: 2, v: 1}. Give prob of sequence nfw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1249 + 1246. Which is the second smallest value? (a) -5 (b) -2\/25 (c) o (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -854, -880, -906, -932, -958, -984?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -0.3, 16023\/61?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/2 - 33*t**3 - 64*t**2 - 63*t\/2 = 0.\nAnswer: -7, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90836 by -11.\nAnswer: 90836\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*q**2*v - 1432751*q**2 - 130120*q - 1276*v wrt q?\nAnswer: -360*v - 2865502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -99*d**4 - 3561*d**3\/4 - 9477*d**2\/4 - 1962*d + 15 = 0.\nAnswer: -5, -2, 1\/132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + b + 38*b as y + r*b and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 - 10*s + 5. Let r(a) be the first derivative of 18 + 19\/2*a**2 - 10*a - 5\/3*a**3. Let x(y) = -7*d(y) - 4*r(y). Determine x(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 954.\nAnswer: 1\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.0277882?\nAnswer: -1.0277882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 9) in base 6?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*-15203\nAnswer: -60812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63219?\nAnswer: 3, 13, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19034 + 19082. Calculate the smallest common multiple of l and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 4*q**2 - 2*q**2)*(-48*q**2 + 87*q**2 - 27*q - 37*q**2).\nAnswer: -2*q**4 + 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(175) + 1)*4 - (0 + -2*sqrt(84)\/(sqrt(12) - -3*sqrt(12))).\nAnswer: 1 + 41*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67859532?\nAnswer: 2, 3, 13, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 10*w - 49, 5*w + h - 31 = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3552 divided by 8?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 1cb5?\nAnswer: -1cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41040 divided by -6\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 14 - 137*w**2 + 148*w**2 - 9 + 10 - 18*w. Find the first derivative of z(y) wrt y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 912\/5 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110678660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-2832)\/1121)*40\/10.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -260464833 - 216535112. Let z be 6\/(12\/4) + m. Suppose d + 0*x - 31800009 = -3*x, -3*d = -3*x - z. What is d rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/10, 4\/7, -382?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1293 or -3\/2?\nAnswer: -1293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*u + 190 = 170*u + 174*u + 165*u for u.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 - 22426?\nAnswer: -22642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -130*u + 124. Let y be o(-41). Let j = 9047 + y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 3 + 0*t**3 - t - 2*t**2 + 1. Let z(u) = u**3 - 2*u**2 - 7*u - 2. Let j be z(4). Suppose -4*k = 4*l - 12, k + 4*l - 4 = j. What is o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854070 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 247290 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - -14) + -3 - 60?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 73789*c**2 + 4 - 2 - 2*c + 83711*c**2. Let o be n(2). What is o rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 - 406 = -23*p. Solve 12 - p = -8*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*c + 1077 = 5*j - 158*c, -857 = -4*j + 3*c. What is the remainder when 3212 is divided by j?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59934*b**2 + 24211.\nAnswer: -119868*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.33599864 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53342, 106685, 160028, 213371, 266714, 320057?\n\"Answer: 53343*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3285*q = 3287*q - 5*j - 39, 0 = -q + 7*j + 60 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbmzttzt. Give prob of sequence mb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**4 - 4*j**3 + 4*j - 2. Let n(x) = -7*x + 6*x**3 + x**3 + 0*x + 4 - x**4. Let v(s) = 4*n(s) + 7*q(s). Differentiate v(p) wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1235752.5 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/4? (a) -5 (b) 3.04 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -3\/2*k**2 + 4 - 2\/3*k**3 + 0*k. What is the second derivative of i(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 115*n + 105*n + 1.\nAnswer: -10*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 1672 + 1651 = 3*g, -4*t - 3 = 5*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 10*i**3 - 3 - i**2 + 12*i**3 to the form t*i**2 + x*i**3 + g + o*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10*z**2 + 23*z**2 - 15*z**2 - z**3 to the form y + p*z**2 + r*z**3 + a*z and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 q, and 1 j when four letters picked without replacement from {w: 2, f: 5, q: 3, j: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 36 + 11 - 30 + 12)*(9 - 12*a - 9).\nAnswer: -24*a**2 + 516*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*s - y, -4*s - 5*y - 2 + 5 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/101)\/(k**(4\/5)\/k) assuming k is positive.\nAnswer: k**(91\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 13*b - 18. Let c be u(-2). Let h(m) be the third derivative of 0*m + c + 31\/12*m**4 - 15*m**2 + 0*m**3. Let v(y) = -y. Determine v(h(q)).\nAnswer: -62*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5478 and 7.6.\nAnswer: -4.16328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -448, -2319, -5428, -9775, -15360, -22183, -30244?\n\"Answer: -619*f**2 - 14*f + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 40 - 133 + x + 44 + 48. Suppose 0 = 5*h + 5, -2*h - 1 = 2*r + 3*h. Let l(c) = -r + 4*c + 6*c - 5*c. Calculate -l(d) + 4*t(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5360636 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*s**3 + 50953*b*s**2*x**2 + 12568*b*s**2 - 15*b*x - b + 29*s**3*x**2 - s**3 - 14*s**2 + 2*x**2 wrt x.\nAnswer: 101906*b*s**2 + 58*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/(-110))\/((-2)\/(-20)) - 9. Sort a, 3, -19 in ascending order.\nAnswer: -19, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39391214 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 28 = 41*i, 16 = -4*z - 4*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1\/2 (b) 0.005 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 - 12*o**3 + 19*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 301, 446, 591, 736, 881?\n\"Answer: 145*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -729, -2780, -6973, -14070, -24833, -40024, -60405?\n\"Answer: -127*d**3 + 72*d**2 + 2*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 + 63\/28. What are the prime factors of (-35 - g - 0)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4. Let v = -25 - -25.3. Which is smaller: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 68 + 332 = 4*v, 0 = -5*r - 3*v + 418. Calculate the lowest common multiple of r and 690.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 71*u + 2. Let h(v) = -v + 6. Let m be h(5). Let j be f(m). Is 8 a factor of j\/5 - 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 60 + 16*i)*(0 + 0 - 1)*(-88 - 72 - 135 - 13).\nAnswer: 4928*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-1*6)\/(-4*sqrt(40)\/sqrt(4)) + 2)**2 + -4.\nAnswer: 6*sqrt(13) + 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(833) - -1*sqrt(833)))**2 - ((sqrt(153))**2 + -2 + -5).\nAnswer: 84*sqrt(17) + 3195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 22 = 0. Let p be 7*(-3)\/(-5 + 2). Let l(x) = -x**3 + 8*x**2 - 7*x + 5. Let f be l(p). Solve f = 2*m + w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.63 - -0.63. Let u = f - -54.0072. Round u to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 655638.792.\nAnswer: -655638.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/9)\/(3\/9). Suppose 0 = i*t - 3288 - 7289. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 3*a - 4*k - 3, 15 = 5*a + 5*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1160*q**4 + 2*q**3 + 4545*q?\nAnswer: -13920*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**2 - h + 4. Let r(c) = 8*c**2 + c - 3. Determine -6*r(a) - 5*u(a).\nAnswer: -3*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**6\/720 + w**5\/30 + 11*w**4\/12 + 8*w. Let b(m) be the third derivative of g(m). Let n be (-2)\/(-2 + 15\/6). Calculate b(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1680\/13 - 2\/13*x**2 - 142\/13*x.\nAnswer: -2*(x + 15)*(x + 56)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226406278616 + 1?\nAnswer: -226406278615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -20787?\nAnswer: 20788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -5 (b) -5\/3 (c) -4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -54?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -228, -362, -512, -678, -860?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 298724*t**4 - 442041 wrt t?\nAnswer: 1194896*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*-4)\/(-2 - -5 - 5). Suppose -4*m + 728 + 720 = -b*w, 5*m + w - 1780 = 0. Suppose -2*a = -m + 135. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4105253 (base 6) to base 14.\nAnswer: 513c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-20)\/30*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104921084.\nAnswer: 2, 4751, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1157925432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1009\/5, -225, 1, -5 in ascending order.\nAnswer: -225, -5, 1, 1009\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101 (base 6) to base 7.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1. Let t(u) be the second derivative of -u**3\/6 + 2*u**2 + 43*u. Determine 7*o(f) - 2*t(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -11)\/(2\/6). Suppose -5*h = 2 - o. Suppose c + 22 = 3*c. Solve h*i - c = 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -12. Let n(u) = 0*u - 8 + 3*u + 142188*u**2 + 0*u. Let r be n(w). What is r rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 114*j**2 + 2*j + 5. Let v be f(-5). Suppose 5*n - 5*d = v, -569 = n - 2*n - 4*d. Let g = 1142 - n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*a + 5. Let w be 1157\/a - (-5)\/15. Let c = 77 + w. Put -0.2, c, 0.5 in decreasing order.\nAnswer: 0.5, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -3\/8 (b) -32 (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*t + 268*t = 0. Let r(a) = 5*a**2 + 5*a + 2. Let d be r(-5). Suppose -5*g = 5*v - 1160, 3*v - 3*g - 768 + d = t. List the prime factors of v.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 + (-276)\/184. Let r be (-1)\/(-1) + -10 + 0. Let m = -4 - r. Sort m, -1, u in descending order.\nAnswer: m, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009096 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 200.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {j: 5, m: 5, k: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2126788 + 3693958. Let b = j + -2357170. What is b rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-1 + -4)**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5823691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -521144375 divided by 2.\nAnswer: -521144375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 - 4*t**2 + 29*t - 74*t = 0 for t.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.2 - 11. Let d = 1.7 - s. What is the third smallest value in 1, d, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6026 and -0.2557?\nAnswer: -1540.8482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5644*j + 211*j - 263*j = -5832*j - 491232 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 176 + 24d?\nAnswer: 3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + -52 + 81 + (2 - 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 8*d + 0*d - 2*d + 2*d. Let k(p) = -6*p**2. Give k(s(u)).\nAnswer: -1014*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + n**3 + 0*n**2 - 9 + 0*n + n**2 + 22. Let o = -16 + 16. What is q(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1458 divided by -2\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 5 + 31 = -5*l, 19*x - 8*x = 8*x + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 2673 (b) 8 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 9760314.\nAnswer: 1\/9760314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 116500270 to the power of 1\/3, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8124\/(-33173)*(118\/(-8) - (-6)\/8). Suppose 0 = 2*m - 3*p + 8, -3*m + 22 = 3*p + p. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.83 - 0.13. Let s = c + -5.4. Let t = 1.699982 + s. Round t to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*q + 3*k - 3 = 815*q, -5 = -3*q - 5*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 58 + 12 + (-26 + -2 - -18)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -155\/34?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6156 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.088295 micrometers in meters?\nAnswer: 0.000002088295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/12 - (-2)\/(-8)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 13) in base 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 23 + 106)*(3*h**3 + 2*h**3 - 3*h**3)*(-2*h + 0*h + h)*(5 + 8 - 5).\nAnswer: -2016*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 24, 87, 218, 441, 780?\n\"Answer: 4*c**3 - 2*c**2 - 3*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5423 + -5419. Let l = 1 + 1. Suppose y = -l*y. Solve -4*k + m = -y*m + 1, g*k + 3*m = 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6298117471?\nAnswer: 12647, 497993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(18\/(-3)) + (-9)\/(-2). Solve c - 20 = 5*i, 5*i - 11 = -j*c - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*v - 27 = 0, 0 = -5*f + 4*v + 41 - 1. What is the remainder when 3*(-2)\/12 - (-598)\/f is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2712 from -5.126.\nAnswer: -5.3972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, k: 2}. Give prob of sequence mmmk.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkq when three letters picked without replacement from {k: 1, a: 2, q: 6, o: 2, h: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48 and 2314125.4473.\nAnswer: 2314077.4473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*z + 14 = y + 83*z, 4*y - 3*z = -20. Which is bigger: -65 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -73*k**4 + 6*k**3 - 2*k - 967. Let p(b) = 296*b**4 - 27*b**3 + 7*b + 3867. Let c(x) = -9*i(x) - 2*p(x). What is the derivative of c(m) wrt m?\nAnswer: 260*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 15*f**2 + 16*f - 5. Let d be n(-16). Let x be (1*(2 + -10))\/1. Let m = d - x. Solve m = p - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*k - 2238 + 2238.\nAnswer: 90*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6\/11, 3, -3\/173455?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 704*j\/5 + 68098\/5.\nAnswer: -2*(j - 431)*(j + 79)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200022102 - 1020121?\nAnswer: 11122001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.034 and 2\/38903 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2530403 + -15233381\/6. Suppose -3*g + 25406 = -2*c, -3*g - 16938 = -5*g + c. Let q = m + g. What is the common denominator of q and -5\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 93, 153, 245, 375, 549, 773?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678*j + 26485 = -673*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 18 = -4*l, 14 + 5 = 5*h + 3*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {g: 4, h: 6, d: 6, u: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 7. Suppose 8*u - 97 = 159. Suppose 0 = -81*d + 77*d - u. What is f(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87130891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049084973.\nAnswer: 3, 97, 103, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 53 + 92. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.2. Let u = 22 + -19. Sort l, u, 4 in decreasing order.\nAnswer: 4, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/603, -2\/17, -6 in increasing order.\nAnswer: -6, -2\/17, 2\/603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*o + 86 = 0, 2*o - 354 = n - 5*n. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 180 = -36*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/780 - 19*n**5\/390 + 35*n**4\/52 + 825*n**3\/13 - 1026*n**2. Factor l(x).\nAnswer: -2*(x - 11)*(x + 15)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-756)\/(-1404))\/((-4)\/(-52)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:19 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8905*a**2 + 2*a**3 - a**3 - 17809*a**2 + 8904*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 1, e: 1, w: 1}. What is prob of sequence nhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 4\/3, 1.2, -1\/7, -456, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -227*s - 50. Is n(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(33\/(-18) + 2). Let y be (j\/8)\/((-2)\/(-48)). Let t be (-6)\/(-5)*(-6)\/y. Which is the closest to t? (a) 3 (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v. Let w(d) be the first derivative of -7*d**2\/2 + 8. Calculate w(x(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2210 divided by -34\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + k - 83 + 2*k + 33. Let m be v(15). Suppose -u - 225 = -m*u. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5\/5 - 57*n**4\/5 - 21*n**3 - 51*n**2\/5.\nAnswer: -3*n**2*(n + 1)**2*(n + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 1 - 1 - 2*y - 2. Suppose -8 + 2 = 2*a - 2*h, 0 = -5*a - 5*h - 25. What are the prime factors of t(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 22434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9193 - -9188. Which is the nearest to g? (a) 0 (b) -0.1 (c) 55 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/15 - (-1)\/(-5)) + 1. Let f(s) = s**3 + 2*s**2 + 2. Let h(q) = q**3 - q**2 - 1. Calculate n*f(v) + 2*h(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166 or -164?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 531 and 87733.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157931971 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6577914.\nAnswer: 2, 3, 7, 19, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 4*q**6 - 8*q + 54 + 2\/5*q**5 + 0*q**2 - 5\/3*q**3 + 0*q**4. Find the third derivative of z(x) wrt x.\nAnswer: 1440*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 - 385770*m + 385767 = 0.\nAnswer: 1, 128589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skksskssknkkkkvssn. What is prob of picking 1 n, 1 v, and 1 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Let p be 3\/9 - 16\/(-6). Suppose 2*z - 5 + p = 0. Put d, z, 5 in descending order.\nAnswer: 5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 950, 1446, 1940, 2432?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from yjyyyyjyyyyjjyjy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 5776560?\nAnswer: -5776565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024585387 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 f when four letters picked without replacement from favffafvafvvvaffvff?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o + 20 - 20 - 25*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(42)*2)\/(sqrt(294)*3).\nAnswer: 8*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/44 - -113\/308. Put 3\/4, c, 0.1, -0.4 in ascending order.\nAnswer: -0.4, 0.1, c, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 346 + -43?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -260*v = -256*v + 28, -4*p + 3*v + 17 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -525 - -4?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868263827?\nAnswer: 868263827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.1225km to meters.\nAnswer: 33122.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(2178) + sqrt(2178)*1 + sqrt(18) - sqrt(72)\/sqrt(256))\/((1*sqrt(294) + sqrt(294) - sqrt(6)) + 5*2*sqrt(6)))**2 + -3.\nAnswer: 7875\/33856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b = -44*b - 184. Suppose -28*s - 18126 = -b*s. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (13 + (-2 - (-13 + 30)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 6*j**2 - 2*j - 7. What is c(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2584 is divided by 38.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 12*i + 9*i - 7*i + 4*i**3.\nAnswer: 4*i**3 - 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/4 - 6*d**2 + 36*d = 0. Calculate d.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1231 + -2b?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545288 is divided by 273?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11*i**2. Let m(d) = -12*d**2 + 288*d - 144*d - 144*d. Calculate m(f(v)).\nAnswer: -1452*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -4\/5 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4418*p - 4962*p = 7325*p + 668865 for p.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 8*x + 4. Let p(w) = w**2 + 7*w - 15. Let f = 45 - 53. Let s be p(f). Calculate y(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -8.98, 3, 5, 9596?\nAnswer: -8.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 100*k**2 - 108*k - 974. What is b(-99)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 0.4, -5, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*o - 1. Let t be o\/(-6)*(-11 - -15). Which is the closest to -4? (a) t (b) -1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -3\/7, 0.1, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 65825100 to the nearest 1000000.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/9396 and 109\/90.\nAnswer: 46980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 6, -1, -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/17)*g\/(g\/g**(-2\/9)))\/(g**0)**(4\/7))**(-49) assuming g is positive.\nAnswer: g**(2548\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*z + 15*z - 30*z + (187 - 187 + 186*z)*(1 + 2 + 2) + 2*z + 2*z - 2*z.\nAnswer: 934*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 150.9852 millilitres?\nAnswer: 0.1509852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/83 <= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 1237837?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:15 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1312, 1316, 1322, 1330, 1340?\n\"Answer: u**2 + u + 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a - 6 = 93*a + o + 7 - 1, 4*o + 123 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-9) - (1 + -2 + -3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + -1*(sqrt(76)\/sqrt(4) + sqrt(19)))**2 + (sqrt(304))**2*5.\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3165, -3765, -4365, -4965, -5565, -6165?\n\"Answer: -600*k - 2565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/205 + -404\/615. Which is the nearest to 1? (a) 2\/7 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -2, -218.\nAnswer: -218, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (166\/(-8) + 2)*-8. What is the units digit of (2\/(-5))\/((-2)\/p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185052 and 2212.\nAnswer: 14619108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-4)\/(-6) + 3. Let h = -93 + 92. Put l, h, 3 in decreasing order.\nAnswer: l, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3)*m*m)\/m*(((m*m**(-2\/11)\/m)\/m*m)\/m*m)\/m*m*m)**42*m*m**2*m*m**(-2\/5)*(m*m**(-1)\/m)**(-2\/7) assuming m is positive.\nAnswer: m**(95576\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 229530043 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1220 and 41\/205814.\nAnswer: 2058140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -20*w - 16. Let o = -287 + 283. Let l(k) = -k**2 + 19*k + 15. Let i(a) = o*l(a) - 5*s(a). Find h, given that i(h) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(0\/6)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -225400 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -177, -119, -3, -1\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46891 - 0.5\nAnswer: 46890.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222 + -217. Which is the smallest value? (a) 2 (b) 8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 6*m**3 - 6*m**2 - 14*m + 12.\nAnswer: 2*(m - 1)**2*(m + 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 3\/5, -1\/5, -1241, 0.87?\nAnswer: -1241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -8*(-4 - (-9)\/6) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:18 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (28 - 30) + -1 + 7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -143726 <= -431180\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1163.6 - -1161.6. Suppose -3 = 5*m - 18. What is the third biggest value in m, -1\/111, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 914545 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * 92585.\nAnswer: -2129455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*k = 2520 - 377 + 529 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -514831, -514799, -514739, -514645, -514511, -514331?\n\"Answer: i**3 + 8*i**2 + i - 514841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 7 + 1 - 60*h**2 to d + l*h**2 + a*h and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*b - 11, -2 = -2*w + 3*b - 1. Let h be w\/(-6) + 112\/(-24). Let t be ((-15)\/25)\/(1\/h). Solve g = -5*u - 21, -t*u - 9 = g - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzttdtttndztzdtnjzz. Give prob of sequence dn.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/2133005, -0.115, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 607944006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*m**2 - 119*m**2 - 213577*m - 205*m**3 + 213577*m.\nAnswer: -205*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 11)\/(12\/(-8)). Let b be (-1)\/i + 0\/(-4). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + 3.96. Let u be (-54)\/615*10\/3. Let v = u + -104\/205. Sort -0.5, v, t in increasing order.\nAnswer: v, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 4. Let s(f) = -96*f + 2. What is s(h(g))?\nAnswer: -288*g + 386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/18 and (-6 + -7)\/(-156) - 69\/495?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22530012.\nAnswer: 2, 3, 1877501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -13 - (25 + -35).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - h + 4*h + 9 = 0, 3*h = 2*n - 9. Let w(o) = n*o - 2*o + 3*o + 1. Suppose 7 = -3*b + 4*j, 2*b + 2 = 3*j - 2. Give w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-405)*12*(-10)\/(-44).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3416 - -5195. Does 39 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 5, x: 5, v: 1, n: 2, p: 6}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + t - 12 = 0, -9 = -3*o - 4*t + 12. Let r(x) = 4*x - o*x - x - x**2 + x**3 - 3 - 3*x. Let z(k) = -k**2 + 8*k - 9. Let q be z(6). What is r(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*k - 33 = -2*b - 686*k, -5*b - k - 11 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4be (base 16) to base 12\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 16) in base 2?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-154)\/7*30\/(-20). What is the highest common divisor of b and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-320)\/36)*(-10)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v. Let r(p) = -1154*p**2 + 2096109 - 2096109. Determine r(t(i)).\nAnswer: -4616*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 + 4.59. Let t = u - -0.11. Let l = -4.3 - -4. Which is the third biggest value? (a) l (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -57*f + 52*f - 2*j, 55 = -5*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by -923?\nAnswer: 239\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 28800.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3927.087 - 132659.\nAnswer: -136586.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2 = g, -4*g = -g - 2*s - 8. Let u be -1*g\/(8\/(-4)). List the prime factors of 3 + (1 - u) + 77.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soosooooowoowswo. Give prob of sequence sss.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:09 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 7*i**2 + 7*i - 6. Let a be s(-8). Let v(t) = a*t**2 + 17*t**2 + 10*t**2. Let f(w) be the first derivative of w**2 - 2. Determine v(f(z)).\nAnswer: 116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)*5)\/(sqrt(6) + sqrt(6) + -5*sqrt(12)\/sqrt(2)) + (5 + 2*sqrt(468) - sqrt(468))*-4.\nAnswer: -82*sqrt(13)\/3 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/2 in -5, -0.06, 4, -0.1, -12, 1\/1297?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.282219 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 3 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**3 + 12*u**2 - 15*u + 2. Let j(c) = 11*c**3 + 12*c**2 - 13*c + 2. Give 6*j(k) - 5*l(k).\nAnswer: -4*k**3 + 12*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220 - 217. Let c = 91 - 42. Let v = c - d. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1171, -2\/3, -2, -1 in increasing order.\nAnswer: -1171, -2, -1, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143*k**2*u**3 + 371*k**2 + 24*k*u**4 + 7 wrt u.\nAnswer: 429*k**2*u**2 + 96*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 239 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = g. Let b(n) = 2*n - 7. Suppose -7*m + 33 + 2 = 0. Let f(p) = 1. Calculate g*b(v) + m*f(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o - 1. Suppose y - 31 = 5*r, -4*y - r + 5*r = -44. Suppose 5*l + y = 11*l. Determine f(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -181, -7 in increasing order.\nAnswer: -181, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/90 and 93\/110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 8*g**2 + 7*g + 22. Let i be v(9). Let l(b) = -3 + b - 2 + 2*b + 4. Let p be l(1). Solve -6*h + 5 = -5*h + d, -p*h + 4*d = -i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576973795.\nAnswer: 5, 17, 541, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2424 and 11883256.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/5 + 90727*g**3\/5 - 411487758*g**2 - 18525206176*g\/5 + 4116510848 = 0.\nAnswer: -10, 1, 45368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67392 - 67392.4. Let y = 0.07 - 4.07. Which is the fourth smallest value? (a) l (b) y (c) -3 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -311395.4 to the nearest 1000.\nAnswer: -311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 76130 = -5*g, 2778 = -2*g - 2*a - 27674. Let c = -5015 - g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728751 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11982376 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*m - 40556 - 49738 - 8598 = 0. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*i - 2*m + 58, -3*i + 4*m = -58. Suppose -2*h + 5 = -a - 3, 3*h - 2*a - 12 = 0. What is the smallest common multiple of h and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 = -15. Let t = -0.1 - 1.04. Let f = t + 0.14. What is the second smallest value in f, w, 3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3912\/4843 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 511576151 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-15))\/((-8)\/(-901218)). Let a be (-90052)\/(-6) + (-4)\/6. Let m = a + f. Calculate the common denominator of 73\/2 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 u when four letters picked without replacement from {u: 4, j: 1, w: 8}.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9349*k**5 - 2*k**3 - 336*k**2 - 3 wrt k?\nAnswer: 560940*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -3*k. Let i be (3 + -5)\/k - 5. Is ((-254)\/(-3))\/(i\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 3*f + 0*f + 10 - 3*f.\nAnswer: -6*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*g - 5 + 3 = 0, -z - 3*g = 5. Suppose 2*m - z = 3. Is ((-3)\/3)\/(m\/(-226)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/2 + 29*z**3\/6 - 31*z**2. Let c be p(-7). Let f = c + -48. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2. Let p be (-2 - 0 - 0) + 2. Let r(v) be the third derivative of 1\/12*v**5 + 0*v**3 + p + 0*v + 0*v**4 + 3*v**2. Give r(z(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 12.47, 1\/4, -33 in descending order.\nAnswer: 12.47, 1\/4, -0.2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and 0.5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 6*t - 3. Let m be v(-4). Suppose 16 - 1 = m*c. Solve 4 = c*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 8) in base 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 6*g**2 + 4*g**2 - g**2 - 2*g**3 to the form n*g + y + l*g**2 + f*g**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4577883 + -1194829084\/261. Let b = 338\/29 + d. Let p(n) = n**2 + 16*n + 37. Calculate the common denominator of b and p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b96a + 2?\nAnswer: -1b968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2695140*i**3*r**5 - 225*i**3*r - 7*i*r**2 + 20*i wrt r.\nAnswer: -161708400*i**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109561170?\nAnswer: 2, 3, 5, 761, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 29. Let k be (n\/4)\/(4\/(-136)). Calculate the greatest common divisor of 34 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 8, k: 1, m: 5, i: 2}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**5 + 6*w**5 + 2*w**2 + w**2)*(-1 + 2 + 0).\nAnswer: 2*w**5 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.9 - -15. Let i = 0.092 - 8.092. Which is bigger: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m - 3*m**4 + 8*m)*(3*m + 0*m - 2*m) - m**2 - 2*m**5 + m**2 - 2*m**2 + (-4*m + 4*m - 3*m**2)*(-3*m**3 + 2*m**3 + 4*m**3).\nAnswer: -14*m**5 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 66398504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -21224001?\nAnswer: -21224012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2531809591 to the nearest integer?\nAnswer: 50317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3571?\nAnswer: 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 660\/22*4371\/2115?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -u - 6, 0 = 73*f - 69*f - 3*u - 10. Let g(y) = -y**3 + 4*y**2 + 4. What is g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 35 = 4*b + 4*s, -3*b - 2*s + 20 = 0. Suppose t - b + 5 = 0, -5*t + 90 = 5*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/24 - 3*z**2\/2 + z. Let s(u) be the first derivative of v(u). Let h(k) = k + k + k + 0. Determine s(h(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -462, -1912, -4416, -7974?\n\"Answer: -527*j**2 + 131*j - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.02 - -633.98. Let j = d - 648.0049. Round j to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqbj when four letters picked without replacement from bjgbqgqgggqy.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020525937 rounded to seven decimal places?\nAnswer: 0.0002053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 11 + 2*q + 8)*(-2 - 3 + 4) as r*q + h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*s + 4*s + 48*s - 1 + 4*s**2 + s**2 in the form m*s + r*s**2 + y and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 683982 and 83187.\nAnswer: 6155838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - 2*v**2 - 3*v**2 + (-2 + v + 2)*(5*v + 6*v - 10*v) - 34*v**2 - 18*v**2 + 2*v**2 + 4 - 4 + 2*v**2 in the form o*v + x*v**2 + c and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1078 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + u**3 - 5*u - 186*u**2 - 57*u**2 + 0*u in the form b*u + t*u**3 + v + j*u**2 and give j.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**7\/560 + b**6\/160 - b**4\/32 + b**3\/16 - 40*b**2. Suppose s(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2 + 5*m - 10. Let w be (-24)\/(-20)*20\/(-6). Is x(w) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-75)*6)\/((-5508)\/510)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*6*(-2)\/(-4). Suppose 0 = -5*b + 10, -2*i - i - 285 = -y*b. What are the prime factors of (-1)\/((-4)\/(-1 - i))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 1452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {u: 4, m: 3, l: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2401 + -1573. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-105))\/((-1)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:53 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 82*f - 20. Let q(h) = 83*h - 20. What is -9*c(o) + 8*q(o)?\nAnswer: -74*o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/3)\/(q\/q**(-2\/9)) assuming q is positive.\nAnswer: q**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356178757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 23935370 to the nearest 100000.\nAnswer: 23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13323 + 7957. Let y = 32305\/6 + n. What is the common denominator of (-4)\/(-22) - (-9 - 2190\/(-220)) and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 8 + -23 - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 7*s**2 + 0*s)*(4*s**2 + 5 - 5) + (0*s**2 + 0*s**2 + s**2)*(-s**2 - 2*s**2 + s**2) to the form c*s**4 + v*s + y*s**2 + j + u*s**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2628 and 107\/6?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 568874106 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 2, i: 2, q: 6, s: 6, n: 1, l: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9815.672 microseconds?\nAnswer: 9815672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2772 = 2551*l - 2425*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 275436?\nAnswer: 275436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3658687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(3888)*-4 - (sqrt(3888) + 2 + 0 - sqrt(3888))))**2.\nAnswer: 576*sqrt(3) + 62212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4\/5))\/((t**(-1\/3)*t)\/t))**3 assuming t is positive.\nAnswer: t**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 741 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7317*z**3 + 5321.\nAnswer: 21951*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 212010102221210?\nAnswer: 212010102221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 215 = 953. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-323)\/(-91) - 0 - 3. Let t = m - 9\/13. Which is the third smallest value? (a) 5 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + c + 6, 10 = -5*j - 10*c + 5*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 23*t**3 - t**2 + t. Let n be c(1). Suppose 4*y + n = 2*l - y, 23 = 5*l - y. Let b = l - -5. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)**(4\/3)*((m\/(m\/m**0))\/m)**(-1\/20) assuming m is positive.\nAnswer: m**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07822 - 0.37822. Which is the nearest to -2? (a) -0.1 (b) -1\/34 (c) h (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**8*v*v**(-1\/3)\/v)\/(v\/v**(-3\/4)*v*v*v**(-3\/2)))**(-23))**(2\/13) assuming v is positive.\nAnswer: v**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6642, 7029, 7670, 8559, 9690, 11057?\nAnswer: 12654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35589*p**3 - 12*p**2 - 15*p**2 + 10047*p**3.\nAnswer: -25542*p**3 - 27*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 2*z**2 - 11*z**2 + 0*z**2 - 2*z**2.\nAnswer: 3*z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -19*p**5\/5 + 19*p**2 + 22*p - 8. Let r(a) = -a**2 + 3*a**2 - 4*a**2. Give c(r(d)).\nAnswer: -912*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*z - 150*z = 0. Let m = -6.11 - -3.11. Which is the closest to z? (a) 2\/17 (b) -4\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and -5.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 - 5*n**2 + 15*n**3 + 182 - 97 to the form x*n**2 + s*n + v + o*n**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37272.99 - 37430. Let s = -157 - v. Which is smaller: s or 0.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)*w*w)\/w)**(1\/9)*(((w\/(w\/(w\/(w*w**10))*w*w))\/w)\/w)\/(w**(-8)\/w) assuming w is positive.\nAnswer: w**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -50.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3)*(-1557*k + 1557*k + 214*k**4) + 3*k**4 - 4*k**4 + 0*k**4 as f*k**2 + d*k**3 + r + c*k**4 + m*k and give c.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -517568300 to the nearest 1000000.\nAnswer: -518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*f**6 + 2*f**5 + 316*f**2 - 2*f wrt f.\nAnswer: -3600*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5450 is divided by 287?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7239729*-1\nAnswer: -7239729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 + 345. Suppose -5 + 23 = 3*k. Suppose -j + p = -k. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 6*h**2 + h - 4. Let x(s) = 3*s**3 + 2*s**2 - 5*s - 4. Let d(v) = -v**3 - v**2 - 1. Let w(u) = 2*d(u) + x(u). Let b be w(0). Determine a(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 23*n**2 - 9*n + 6. Suppose -5*k + 7*k = -34. Let t(h) = 8*h**2 - 3*h + 2. Let b(x) = k*t(x) + 6*z(x). Let o = -11 - -13. Calculate b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -9 - 5\/(-1)*(-276)\/330.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 27 = -6*v. Suppose -v*i + 1934 = 4*t, -t - 2*i + 479 = 3*i. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -35*j + 468. What is r(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538508.\nAnswer: 2, 61, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 17*i**2 + 38*i + 5420005. Let t(z) = 27*z**2 + 57*z + 8130008. Let v(k) = 5*t(k) - 8*x(k). Let q be v(0). Round q to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from {o: 1, p: 5, j: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.52. Let a = q - 1.72. Let c = -1.799949 - a. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 330, 2258, 7246, 16746, 32210, 55090, 86838?\n\"Answer: 242*n**3 + 78*n**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**28)**(5\/3)\/(u**(1\/5)\/(u**25*u)) assuming u is positive.\nAnswer: u**(1087\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -34100983 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4540 + 4601. Solve -2 = x*p + 303 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 = 4*j - 4*p, 0 = j - 5*p + 105 - 301. Is j a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/(225\/(-270))*-5. Let f = -324 - -322.27. Let i = 0.13 + f. Sort l, i, -4, 1.\nAnswer: -4, l, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55.09153 or 1\/4?\nAnswer: 55.09153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 3*f + 3*f)*(0*f**2 + 3*f**2 - 4*f**2)*(-14*f - 9*f + 21*f) + 2*f**5 - 5*f**5 - 3*f**5 + 2*f**5 - 2*f**5 + f**5.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 606 + -546. Let u be -1 + (-1 - -4) + -1. What is the common denominator of 74\/3 and 5\/(k\/51)*u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4394*c - 3185698. What is x(725)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:03 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 2, -6, 32, 4 in increasing order.\nAnswer: -6, 2, 4, 32, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 832 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5 - 14 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and -15.201709.\nAnswer: -29.201709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {l: 1, r: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8350 = 2*r + 5*m, 3*r + 3*m - 8358 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2\/2 - 465*j - 5364 = 0?\nAnswer: -298, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4\/3, 3\/5, -2\/5, -8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -397967091*z**3 - 3*z**2 + 397967119*z**3 - 4 + 59*z**2. Calculate o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -472732.\nAnswer: -11\/236366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 5*y - 4. Let z(c) = -c + 1. Suppose -4 = -4*x - 16. Let r be ((-20)\/12)\/(-5)*x. Determine r*w(u) - 6*z(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -21079*j - 105399. Give r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-10)\/(-75)). Factor 6*n**3 - 4*n**3 - 7*n**3 + c*n**5.\nAnswer: 5*n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*v + 610*v + 691*v - 102671 = 620*v for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 15. Give l(-21).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*a**3*w**4 + 10166*a**3 - 294998*w**4 + 4292*w**2 wrt w?\nAnswer: -480*a**3*w - 7079952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 191 = 184. Does 39 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8081, -8074, -8063, -8048, -8029?\n\"Answer: 2*w**2 + w - 8084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 - i**3)*(-3*i + 2*i - i) - i**4 + 3*i**4 - 3*i**4 + 4*i**4 + 2 - 3*i**4 - 3*i**4.\nAnswer: -i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*x - 0*x. Suppose -4*z + 4*y + 67 = x, 2*z - 29 = 5*y. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -636.8 + 636.789255. Round y to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 14 + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 233 = 3*z, -5*z + b + 345 = 3*b. Let t = z - 59. Suppose 6*k - 2*k - t = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 - 23*x**2 - 94*x - 138. Does 54 divide n(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 0, -30, 39 in descending order.\nAnswer: 39, 7, 0, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/5)))\/(u\/(u**14*u)))\/((((u*u**(1\/19))\/u)\/u)\/(u\/u**14)) assuming u is positive.\nAnswer: u**(147\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**5\/s)\/((s\/(s\/s**(-1\/3)))\/s))**(3\/8)*((s**0)**(-1\/10))**(-3\/5) assuming s is positive.\nAnswer: s**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 2*t. Let q be k(2). Suppose -5*o - q = -42. Solve 0 = -2*i - p + o, 0 = -i - 3*p + 13 - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19472432, -38944870, -58417322, -77889794, -97362292, -116834822, -136307390, -155780002?\nAnswer: -175252664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v - 36*v + 3039274 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(((-24)\/(-10))\/(-6)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12409847201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 11549827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 15, 58 in ascending order.\nAnswer: -1, 5, 15, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16 - 7\/(-140)*68132)\/((-1)\/(-15))?\nAnswer: 3, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngg when three letters picked without replacement from {g: 9, n: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -142, -295, -510, -787, -1126?\n\"Answer: -31*l**2 + 2*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8530985*c**3*w**2*z + 4*c**3 + 5*c**2*w*z + 13*c**2*z - 227406*w**2*z wrt c?\nAnswer: 51185910*w**2*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in -0.3, 5, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 321 = -0*q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5*p + 0 - 3*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2269.9 in 6\/7, 2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 451, 1760, 3891, 6802, 10451, 14796?\n\"Answer: -7*o**3 + 453*o**2 - o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 71)\/((-14)\/7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 + 29 = -38*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*a**4 + 3*a**3 - 5*a**2 - 4*a + 52 wrt a?\nAnswer: 324*a**2 + 18*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 - 9. Suppose 0 = m - 81 - 84. Let b = m - r. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 + 422. Find the second derivative of -45*k**4 + 5*k + c - 188 - 11*k**4 wrt k.\nAnswer: -672*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -1837*p**5\/10 - 1315*p**3\/3 + 2503*p. What is the second derivative of a(n) wrt n?\nAnswer: -22044*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213 and 54528.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 1. Let a(n) = -2*n. Let r(s) = -2*s - 1. Let y(t) = 3*a(t) - 2*r(t). Suppose 4*w = p - 5, 3*p = -2*p + 5*w + 10. Calculate p*y(m) - 3*z(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44992.53 years in months?\nAnswer: 539910.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-333)\/(-74)*14\/(-117).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-126)*102\/5?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -794*w - 9526. Let b be z(-12). Factor c**b - 1 - 1\/2*c + 1\/2*c**3.\nAnswer: (c - 1)*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-12)\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-5))**20 assuming q is positive.\nAnswer: q**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 20235651.\nAnswer: 2\/20235651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51237224 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (4 - (1 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -574 (b) 1\/20 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2 - k + 20. Let a(t) = 23*t**2 - 3*t + 58. Give 4*a(c) - 11*h(c).\nAnswer: 4*c**2 - c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*i = 54, 3*v - 2*v = -3*i + 18. Suppose 1 + 11 = -6*m. Let f(s) = 13*s**2 + 2*s + 2. Calculate the remainder when f(m) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/11 + 25\/22. Factor 0 + 0*n - d*n**5 + 0*n**2 + 0*n**3 + 1\/2*n**4.\nAnswer: -n**4*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 80, 288, 694, 1364, 2364?\n\"Answer: 11*g**3 - g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2749, 1, -4 in decreasing order.\nAnswer: 1, -4, -5, -2749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378 times -364576?\nAnswer: -502385728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 516 - -1585. What are the prime factors of c?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, f: 2}. What is prob of picking 1 f and 1 c?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2214, -1\/5, 3, -3 in decreasing order.\nAnswer: 2214, 3, -1\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*s**4 + 4*s**3 - 2*s**2 + 14*s + 1?\nAnswer: 3024*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14350983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1521050 (base 7) to base 2\nAnswer: -110010100000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748 - 681 = 5*k - 4*s, -2*s = -5*k + 41 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/12 + d**3\/3 - d**2\/2 + 2*d. Let q be 4 - 2\/2 - 9. Let c = 2 + q. Calculate g(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 5 - 12) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1040, 2075, 3110?\n\"Answer: 1035*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/8 - 101*p\/4 + 985\/8 = 0. What is p?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.6 - -38.9. Which is greater: -415 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201*c**2*i + 82*c*i + 344868*i wrt c?\nAnswer: -402*c*i + 82*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -816.9999527 + 817. What is f rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*p + 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 3*g - 2*g)*(-2*g + 2*g - g**2) + 3 + 77*g**3 + 5*g - 2 - 74*g**3 in the form v + s*g**3 + q*g**2 + y*g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1597 (b) 0 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/(-15) - (-30)\/(-18))\/(3\/(-9)). Let p be (-4)\/6 - 47\/(-3). Suppose 5*i - 4*m + p = 0, -4*i = -3*m + 3 + 9. Is i greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 226778650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1079 + -0.7449. Let z = f - -53.537. What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1326\/2873)\/((-6)\/(-104)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 + 2696*f**2.\nAnswer: -f**2*(f - 5392)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:24 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1032121?\nAnswer: -1032122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3935 (b) -0.4 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*r**2 - 67*r**2 - 567*r**2 to the form w*r + v*r**2 + p and give v.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 2*a**2 - 8*a + 0*a**2 + 4*a - 2. Let b be 60\/14 - (-8)\/(-28). Suppose 4*g = 3*h + g + 21, -h = b*g - 13. Calculate p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 18 - 6 = 0. Suppose -8*p = -7*p - 2*r - 308, 0 = -h*p + 4*r + 920. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o + 7. Let k(q) = 7*q - 6. Let f(t) = 7*k(t) + 6*p(t). Let h(v) = 2*v + 1. Let s(d) = -f(d) - h(d). What is the first derivative of s(l) wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 11. Suppose -2*c + 1 = 5*d - 5*c, -3*d - c = -m. Suppose 4*q - d*t = -5*t + 25, -3*t + 21 = 3*q. Solve -1 = -5*o + q*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 times 170244\nAnswer: 27579528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 1\/3, -3 in ascending order.\nAnswer: -3, 0.01, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112208, -112804, -113792, -115166, -116920, -119048?\nAnswer: -121544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (33\/(-15) + 4)\/((-57)\/190). Suppose 5*k = -r - 2*r + 39, 0 = -5*r + 15. Let j be ((-34)\/n + k\/18)\/2. Sort -1, 1, 5, j in descending order.\nAnswer: 5, j, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 20*z**2 - 19*z + 89. Suppose -5*h + 9*n + 37 = 12*n, -3*h = 4*n - 31. What are the prime factors of q(h)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107949709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1832 + -1830. Let s be (12\/54)\/(1\/(-2)). Which is the nearest to -2\/5? (a) 0.8 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3298 - 4*l**2 + 6733 - 3342.\nAnswer: -4*l**2 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*n + 4 = 12*n - 14*n + 9, d + 12*n = 17*n + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**9\/15120 + n**8\/2240 - n**7\/1260 - n**4\/24 + n**2. Let s(z) be the second derivative of m(z). Solve s(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -21697.\nAnswer: 21\/21697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 65. Let t = y - -16. Suppose 0 = 3*x - 5*r - 347, -3*r = -t*x + 213 + 132. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2938917*0.5.\nAnswer: 1469458.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172510 by 4.\nAnswer: 86255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 20 = -52. Let w be 137\/9 + 4\/r. Suppose -4*b + 5*d + 37 = 0, d = 2*b - 0*d - 11. Solve 3*a = 3*p + w, -b*p + 0*a - 7 = 5*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7756 - 0.2.\nAnswer: -7756.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 1. Determine p(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y + 10 = 0. Solve -y*a + a - 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - -3.94. Let p = -353 + 348. Put d, 5\/4, p in increasing order.\nAnswer: p, 5\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130\/11 - -932\/77. What is the second smallest value in h, -56, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*q + 3 + 2*q)*(q**3 + 2*q**3 - q**3).\nAnswer: -6*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:38 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - 27?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) - 462\/55. Let l = p - -18. What is the least common multiple of 11 and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 18, 18, 20, 24?\n\"Answer: n**2 - 5*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8797?\nAnswer: 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w + 1. Let v be t(2). Suppose 0 = -5*q - 2*g + 78, -q + 9 = 2*g - 13. Suppose -f + v = q. What is the remainder when 33 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 371307 + 83516. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.21 + -0.61. Sort -3, c, 1 in decreasing order.\nAnswer: 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517744303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1830961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6186?\nAnswer: 2, 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 2. Let j = 73 + 61. Let g = j - 132. What is the closest to g in o, -1\/6, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1376 - 83. Let h = -720 - z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 + 122\/18. Suppose -1 + o = d. What is the lowest common multiple of d and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 231?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let z(r) = -4*r**2 - 11*r + 13. Let p(q) = -6*l(q) - z(q). Let u be p(6). Let v = u + 24. Solve v*w + 2 = 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 3. Let c be p(-4). Let w be (-2)\/3*(-24)\/(-40). Is w equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -51.4. Let z = 4 + -3. Let o = 0.8 - z. Which is the closest to -0.2? (a) o (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -42817367065?\nAnswer: -42817367070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 7) in base 11?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of (-1*13 - (-2199132)\/740)*10*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155*u**2 - 92*u**2 + 46*u**2 + (-u - u + u)*(1 - 1 + 2*u) + (1 - 2 - 1)*(0*u**2 + 5*u**2 - 3*u**2).\nAnswer: -207*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*w**2 + 181*w**2 + 205*w**2 - 592*w**2 - 1131*w**3.\nAnswer: -1131*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3130311 (base 4) to base 9\nAnswer: 21343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 157. Let a(i) = -i**2. Give a(t(x)).\nAnswer: -4*x**4 + 628*x**2 - 24649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 112649 = -352959. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 17003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g + 6, -4*m + 2*g + 310 = 0. Let s = -34 + m. What is the remainder when s is divided by 23 + 1 + -2 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 45*r**2 - 48*r - 162. Determine q(-44).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18187 is divided by 50.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53276 = 4*r + 4*q, -r - 3*q + 11369 = -1944. Let z = 25779 - r. Suppose -z - 6949 = -4*t + 2*f, 4*f - 12 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0.1. Let l = 9 + 18. Let m = l + -27. Is q at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1\/5)\/((-40)\/(-50)))\/(-1). Let f = -11.8 - 0.2. What is the nearest to f in r, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1574, -7638, -24064, -56024, -108690?\nAnswer: -187234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13334 - 1122?\nAnswer: -20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 26.8989.\nAnswer: 26.8989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 10, x: 8}. Give prob of sequence xqkx.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 0.2328, 2\/13, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -8. Let v = 0 - o. Suppose -5 = -3*x + 3*z + 2*z, 2*x = -3*z + 16. Solve 14 = -0*q + 2*q + x*m, v*m - 9 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 - 3*k**2 - 2*k + 2. Determine l(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.065 - 1414286.\nAnswer: -1414285.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -813865 < -813861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 9*u**2 + 7*u**2 + 24 - 16391*u + 16429*u.\nAnswer: 2*(u + 1)*(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13) + -2 - sqrt(52)*-2) + sqrt(637) + 0 + 1 + -3)**2*1.\nAnswer: -120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 3240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2569*p + 3452. What is the thousands digit of o(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4036*n + 2114865. What is y(524)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 857951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 0*d + 3*d)*(72*d + 111*d - 32*d) in the form p + t*d + s*d**2 and give s.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + 0*y)*(1 - 3 + 4) + y + 2*y + 0*y + (37 + 190 + 13)*(4*y + y - 3*y).\nAnswer: 479*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-28) - -2) + 37\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925589017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-15)\/z))\/(z*z\/(z*z**(-42)*z)))**(-2\/3) assuming z is positive.\nAnswer: z**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-624)\/26936)\/(4\/(-2)).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 178760000 to the nearest 1000000.\nAnswer: 179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 - 108*f.\nAnswer: -3*f*(f + 72)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.69 and 42022806.\nAnswer: 42022806.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {v: 3, r: 1, p: 4, a: 3, e: 3, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2) + (6 - 21). Let r be 20 + -2 + 1 + h + 13. Is r\/(-25)*(17\/(-2) - -1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -916, -845, -664, -373?\n\"Answer: 55*y**2 - 94*y - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*w + 39*w + 57*w - w**3 + 58*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2549?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a8324 (base 11) in base 9?\nAnswer: -810732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440154890 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 27202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 26*p + 24. Solve -w = -3*w + p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - 9*x + 310 = -302 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4293*p**3 + 4260*p**2 wrt p?\nAnswer: 25758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 6*i**2 + 3*i**2 + (-i + 3 - 3)*(7*i - i - 7*i) - 4 + 4 + 2*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 4026475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 - 173. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -218*g + 4. Let u(b) = -1470*b + 27. Let m(w) = -4*u(w) + 27*y(w). Let o(r) = 5*r**2 - 28. What is o(m(n))?\nAnswer: 180*n**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/360080 and 49\/591560?\nAnswer: 8281840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o - 46. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose u = m*u - 12. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z**2 + z**2. Let v(k) = -301 - 7*k**2 + 301. Give l(v(o)).\nAnswer: 49*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 23, 0.02, -1\/5, -4\/9, 2, -0.031, -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 0, -3 = -4*v + 4*p + 49. Let j = -10 + v. Sort 5, j, -9.\nAnswer: -9, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4020 and 20?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 31*m - 82998. Is m\/21 - 4\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -5, 5 in decreasing order.\nAnswer: 6, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from djyeyvkv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 6 + 0 = 0. Let q = 3085\/102 + -179\/6. Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9480000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3249*k**2 + 10*k + 5. Let j(b) = -3245*b**2 - 12*b - 6. Give 5*j(w) + 6*m(w).\nAnswer: 3269*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9925.7427 rounded to the nearest ten?\nAnswer: 9930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 1:21 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 116. Let p be (b\/(16\/(-2)))\/(316\/48). Is 0 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - n - 670 - 2*n - 2*n.\nAnswer: 4*n - 670","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 3*k - 23. Let c be q(6). Which is greater: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(4 - 1 - 1 + (-1 - 1 + 3)*(3 - 4 + 0) + (-3 + 3 + 2)*(-211 - 194 + 124))*(-f + 4*f - 4*f).\nAnswer: 1683*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = -2*i - 34, 2972*i - 2971*i = g + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c87 + -e?\nAnswer: -1c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = 63*g - 59*g, -2*u = g - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, v: 2, o: 2}. What is prob of sequence oo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3489 + -3529. What is the closest to -73 in l, -3, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223.02 - -221. Let u = 2 + i. Let v = u - -0.32. What is the nearest to v in -2\/11, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:01 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-248)\/(-186))\/((-3)\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 5, d: 1, v: 2, z: 11}. What is prob of picking 1 v and 2 z?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 35*t + 125. Suppose 24*f - 4*c = 23*f, 5*f - t*c = 15. Solve -f*b + b + v = -3, 0 = -5*b - 2*v + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 550217.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -7657332?\nAnswer: -7657326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 24255.1\nAnswer: 12127.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-2 + -7 + 82 + -76 + 7)) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8003*r**3 + 3325*r**3 + 4680*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*j - 14, -16*w - 3 = -j - 15*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10597*o + 328508. Determine g(31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12364.84 - 12123. Round f to the nearest integer.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + (sqrt(1700) + sqrt(1700)*-2)**2 + sqrt(1700))*2.\nAnswer: 40*sqrt(17) + 3400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 4*g + 2. Let b be i(-2). Suppose 5*o + 2*h - 10 = 0, -3*o + 9*h - 4*h = -b. Calculate the highest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 19 + 20. What are the prime factors of -3 + (92 - (r - -2))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*w**2 + 512*w**2 - 127*w**2 - 2030*w - 118*w**2 + 2030*w - 121*w**2 + 1.\nAnswer: 32*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.06706 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.4 - -24. What is s rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327556232 is divided by 109185405.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*y - 8, o + 1 + 5 = y. Let q be 245\/o - (-1 + -3). Let h = 47 + q. Solve -5*u = -0*u + 4*v + 10, h*v = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2620 + 2608 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -274925, -550136, -825349, -1100564, -1375781, -1651000, -1926221?\n\"Answer: -m**2 - 275208*m + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/4 (c) 1565 (d) 4 (e) -3 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 53407?\nAnswer: -53408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 z when three letters picked without replacement from {z: 1, c: 5, s: 1, v: 8, l: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 51089*g - 306472. Determine j(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5772)\/169*(-286)\/132.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + y - 35*l = -18*l - 19*l - 148, -5 = -5*l for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 6*n - 56. Suppose n*t = 13 - 6. Is t < 2\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197302?\nAnswer: 2, 7, 17, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 32. Suppose 2*g + k = 3*g. What is the greatest common divisor of 56 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.631 or -116949?\nAnswer: -0.631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-11 - 7) + -11 + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17951\/3 - 5930. Let f = p - 55. Let k = 434\/555 + 2\/111. What is the biggest value in -2, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446818 is divided by 111703.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) 1 (b) -1 (c) 0.5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 1. Let o = 29 + g. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) - (22280\/15)\/8. Let y = 200 + n. Calculate the remainder when 58 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*m - 10 = 5*f + 98*m, 3*f = 5*m - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -28) + (-45 - -3) + 9 - -1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 315 = -309. Solve 2*q - 13 = 3*b, -5*q + b + k = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2064191845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 = 24*g - 26*g. Suppose a + 36 - g = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 18 = 5*u, 3*u = 4*n - u - 16. Differentiate 2 - 3*c**3 - 3*c**3 + n*c**3 wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-6)\/(-8)). Let q be ((-20)\/(-6))\/(i\/(-60)). Round q to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 23*y + 12 - 11 - 6*y. List the prime factors of z(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = 4*x - 14*k - 110, -k = 2. Solve -1 - x = 9*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.02 - -22.42. Let y = x + -20. Let m = y - -2.6. Put 1, -2, m in descending order.\nAnswer: m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 1. Let f(r) = 21*r**2. Give h(f(m)).\nAnswer: 105*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2. Let j(i) = 3*i - 190. Give q(j(m)).\nAnswer: -18*m**2 + 2280*m - 72200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -31. Suppose 13 = z*d - 8. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*y + 8 = 156*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47\/2565 - -2\/513. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -353 + 198. Let n = -151 - b. What is the third biggest value in n, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78227.58 litres in millilitres?\nAnswer: 78227580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420) + (sqrt(420) - 6*(sqrt(420) - (sqrt(420)*-2 - sqrt(420))) - sqrt(420)))\/sqrt(7))\/(sqrt(50)\/(3*sqrt(10)*-5)))**2.\nAnswer: 1428300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/((-1588)\/(-264) + -6). Is 44 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 g when three letters picked without replacement from gkkqw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2189 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00102469 rounded to 5 decimal places?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 142589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114445*i - 56980 = -115215*i for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - (-58)\/(-6). Let p(d) = 2*d**2 - 4*d**2 - 2*d**2 + 8 + 3*d**2 - 9*d. What is the units digit of p(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563439?\nAnswer: 3, 293, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4911*c**2*f + 2614*c**2 + c*f - 2059541*c - f - 13 wrt c?\nAnswer: -9822*f + 5228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.07 + 0.07. Let p = 3.4 - -0.6. What is the smallest value in -0.5, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -515143, -1030216, -1545289, -2060362, -2575435?\nAnswer: -3090508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -734*j**3*o**2 - 3*j**3 - 28*j**2*o**2 - 6*j**2*o wrt j?\nAnswer: -4404*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4652 (base 8) to base 6\nAnswer: 15242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 134.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -718764 (base 11) to base 14.\nAnswer: -220575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27806162?\nAnswer: 2, 83, 191, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - (-8)\/(-12). What is the biggest value in 1\/11, p, -3, 0?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**5\/20 + 5*j**4\/6 + j**3 - 13*j**2 - 484*j - 2. Calculate d(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 227385 and 50?\nAnswer: 2273850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d**2 + 27*d + 3. Let a(z) = 28*z**2 - 79*z - 8. What is -3*a(m) - 8*b(m)?\nAnswer: -12*m**2 + 21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/2844 and 97\/468.\nAnswer: 36972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 28 + 4. Which is greater: c or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.284 - -15.3. Let r = u - 0.497. Let z = 4.811 + r. Round z to one dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543778.8km in centimeters?\nAnswer: 54377880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -356*i + 336*i + 520. Calculate the greatest common factor of 3926 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26217?\nAnswer: 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/5, -0.041, -842?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/((34\/(-85))\/((-77)\/(-70)))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -135090 and -20.137.\nAnswer: -135110.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**4 - 4*l**2 + 1. Let q(c) = -9*c**4 - 2230*c**3 + 17*c**2 - 615. Let v(w) = q(w) + 4*x(w). Find the third derivative of v(t) wrt t.\nAnswer: -24*t - 13380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 116, 120, 108, 74, 12, -84?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 0.1 (b) 3 (c) 1\/3 (d) -51\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from {b: 3, i: 1, l: 6, d: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2542 = -2*t - 3*t, -5*t + 3*o + 2556 = 0. Is t a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 6*x + 7. Let r be w(3). Calculate the highest common divisor of 275 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*l - 58. Let f(g) = -g + g - l*g + 8*g. Let x(y) = 75*y**2 - y. Calculate x(f(b)).\nAnswer: 300*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 14) to base 11.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*h**3 - 2*h**3 - 23*h**5 - 11*h**3 + (-5*h**3 + 4*h**3 + 3*h**3)*(-2 + 2 + 2*h**2) + 4*h**5 - 2*h**5 - h**5.\nAnswer: -18*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 21696145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 24.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6004 = 4*y + 4*b - 0*b, -4*y - 5*b + 6006 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6932*n - 119 + 38*n**2 - 6932*n with respect to n.\nAnswer: 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08547 rounded to three dps?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*m**3 - m**2*q + 6*m**2*r**3 - 11*m*r**3 + 134*q wrt m.\nAnswer: -90*m - 2*q + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-585)*-18*(-50)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 2*n + 5. Let v be t(-3). Suppose -v*i = 2*i - 2788. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11542 - 121557?\nAnswer: -110015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1479)\/68 - 2\/8) + (-1152)\/(-96).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, z: 2, i: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -74*l + 1266. What is x(27)?\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 817958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418565245 to the power of 1\/2, to the nearest integer?\nAnswer: 20459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + 17. Suppose 7*w = 2*w + h. Calculate the remainder when 42 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**3 - 45*x + 45*x - 1 + 1.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3427 and 212221.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 12 - 4. Let n(c) = -c**3 - 3*c**2 + 4*c + 4. Let g be n(p). Suppose 2*q - g*j = 308, -j - 718 = -5*q + 79. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Suppose 2*a = 3*r + 18, -n*r - 19 = -a - 0*r. Suppose a*f + 0*f = 30. What is the smallest common multiple of f and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 2.04. Suppose 31*s + 66 = 9*s. Let v(i) = -i**3 - i**2 + 1. Let t be v(-2). Which is the third smallest value? (a) s (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.1871ml in litres?\nAnswer: 0.1501871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - 3*z - 3)*((2 + 2 - 6)*(4*z**2 - 3*z**2 - 3*z**2) + 33*z - 33*z - 3*z**2) + (-3 + 3 - 2)*(3*z**3 + 0*z**3 - 2*z**3).\nAnswer: -3*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 3000824.\nAnswer: 91\/3000824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 - 7*i + 4. Let w be f(7). Suppose -36*u = 23 - 15 - 80. Sort w, u, 4, 3 in decreasing order.\nAnswer: w, 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = -7*r - 90. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*z**2 + 1)*(2 - 4 - 1 + (7 + 0 - 4 + 1 + 0 - 2 + (-1 + 5 - 1)*(1 + 0 - 3))*(0 - 3 + 5)) as s + t*z + j*z**2 and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-16)\/((-96)\/33)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4917.292 decades to months.\nAnswer: 590075.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4 + 267500*l**3\/3 + 29941184*l**2\/9 + 279392512*l\/9 = 0.\nAnswer: -44546, -56\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 19921.4.\nAnswer: 19921.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - -2*sqrt(132))*5 - sqrt(132) - (sqrt(132) + -1*sqrt(132))*-5)*3)\/((2*sqrt(84)*5 + sqrt(84))\/sqrt(7)*-2).\nAnswer: -21*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4f272 (base 16) in base 7?\nAnswer: -2520135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 94, 0, -1\/4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 771 - -1?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1660882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 2\/(-6) - 1. Let w = 12 + -11. What is the biggest value in w, 3\/5, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -4)*(-4 - -5))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 0.1 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7637 and 48205835?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -34*a**2 - 190*a - 105. Determine z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 608633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = -15, 2*x + 2*o + 6 = 0. Suppose -5*l + 18 = -x*l. What is the least common multiple of l and -1 + -1 + 48\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 493 and -105 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + c**2 - 3*c - 3. Suppose -2 = 5*z + 18, 5*z + 25 = -5*q. Let g be (-1 - -6)*q*(-28)\/(-70). Let d be f(g). Are d and -6\/47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 848114 and 29054?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 356046?\nAnswer: -356036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3133.8 - 3134. Which is smaller: p or 565?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8450660 + 29864255. Suppose -f = 5*g + 8600005, 3*g - 12514912 = -3*f - h. Round f to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 266 + 266 + 0*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29076 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2069, -2175, -2283, -2393, -2505, -2619, -2735?\n\"Answer: -j**2 - 103*j - 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 954 and 424?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-26 - -14) + (-6 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437801986 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 + -141. Let i(m) = -5*m + 3. Let b be i(c). Let t = -43 - -55. What is the highest common factor of t and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1577973 or -1577961?\nAnswer: -1577961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6732, -0.1, -4\/5, -0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 2*g**2 - 2*g**2)*(-1 + 3 + 0) - 5*g + 5*g + 1 - 2*g**2 + (-1 - 1 + 1)*(348*g**2 + 18*g**2 + 162*g**2).\nAnswer: -532*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1780.2 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnznb. What is prob of picking 1 z and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b22953 - -71?\nAnswer: b22a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 32 = -4*f, 3*u - 27 = -3*f. Solve -5*s = -15, u*y + s + 7 = -2*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 344.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (551*s + 1051*s - 679*s)*(4 + s**2 - 4)*(0 + 1 + 0) to the form i + c*s + h*s**3 + u*s**2 and give h.\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -21. Let x(p) = -p**2 - 5*p. Let q be x(-5). Suppose 2*r - 4*c - c = q, 3*r = 4*c + 14. What is the greatest common divisor of v and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4261.\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*r + 45*r**2 + 119*r - 808 + 808)*(-r**3 + r**3 + 2*r**3).\nAnswer: 90*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 100489*n**7\/70 + 150892*n**6\/15 + 2728423*n**5\/180 + 2857*n**4\/18 + 2*n**3\/3 - 7*n**2 + 151*n. Let k(m) = 0. What is m?\nAnswer: -3, -1, -2\/951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3831.1 + -3827.1. Which is the closest to n? (a) 2\/11 (b) -1\/3 (c) -4\/9 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 524435373 and 35838.\nAnswer: 1048870746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 - 97 = 24*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/11 in -0.5, -2\/11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = -4*n. Let i be n\/(-10) + (-4)\/(-10). Calculate the greatest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12 (b) 2\/5 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285*d*o**3 - d + o**2 + 1 wrt o?\nAnswer: 1710*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 - 5 + 5 - 2*v + 4 + v**3 in the form f*v + k*v**2 + z*v**3 + m and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87811727413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102692066849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5846 (base 12) in base 13?\nAnswer: -4635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30\/13 + -163\/65. Suppose 3*r - 178 = 4*r. Let m = r - -1244\/7. What is the biggest value in m, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.062 + 0.062. Let r = 25.000052 + t. What is r rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 0.08, 0, -0.3, 12.1, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18444 = -r - 2*r + 4*g, 4*r - 24561 = -5*g. Let c = 17039 - r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/3 + 247*d**2\/3 + 13520*d\/3 - 219700\/3 = 0. What is d?\nAnswer: -130, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*k - 0 - 34, -3*k = -5*u + 76. Suppose 5*l - 265 = -5*b, 4*l = -l. What is the remainder when b is divided by ((-24)\/u)\/((-4)\/42)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(78\/12))\/(22\/198)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*144\/(-2664)*94\/4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/2)\/((-4)\/(-16)). Let n(f) = f**3 - 5*f**2 + 21. Let d be n(z). Sort d, -1, 3, -3 in decreasing order.\nAnswer: d, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2239\/5 + 448. Let 0*b - 1\/5*b**2 - 1\/5*b**5 + 0 + p*b**3 + 1\/5*b**4 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/4 - 5*y**3 + 9819*y**2\/2 + 288293*y + 1133515\/4 = 0.\nAnswer: -103, -71, -1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*p + 712*p - 122112 = 145*p - 745*p for p.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15679*l = 15177*l + 23092 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -498, -994, -1490, -1986?\n\"Answer: -496*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r + r. Let g(u) = 3 + 3*u + u - r*u**2 - 7*u - u**3. Suppose 0 = m + 3 - 0. What is g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2976891280.\nAnswer: 2, 5, 11, 53, 83, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*y - 78 - 27, -5*x - 20 = 4*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1018*u**3 + 4*u**2 + 4. Let c(i) = 5092*i**3 + 19*i**2 + 19. Give -4*c(j) + 19*o(j).\nAnswer: -1026*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Suppose -2*h = 4*h - 120. Let c = 22 - h. Let a(t) = -c*t**2 - 16 + 16. Calculate l(a(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) + 1*sqrt(2160))\/(sqrt(363) + sqrt(363)*-4))**2.\nAnswer: 320\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19928333 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + 0.11. Let w = x + -4.2. Let m = -550 - -545. What is the nearest to 0.1 in m, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 219*v**2 - 17*v - 1379*v**2 + 6*v.\nAnswer: -1160*v**2 - 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 452599, 452590, 452581, 452572, 452563?\n\"Answer: -9*b + 452608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*k + 7*j*m + 11*j + k**3*m + 92*k*m - m wrt k.\nAnswer: -2*j + 3*k**2*m + 92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -8. Suppose -h = a + 6 + 209, h = -2*a - 216. Let l = -196 - h. What is the least common multiple of t and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**3 - 360*j**2 + 6675*j + 97750 = 0.\nAnswer: -85, -10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20\/7*y**3 - 4\/7*y**2 - 25\/7*y**4 + 0 + 0*y = 0. Calculate y.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -454 greater than or equal to -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 224836.12 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 14*y**2 - 21*y + 97. Calculate the remainder when r(11) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282796211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1995, 1945, 1899, 1857, 1819?\n\"Answer: 2*u**2 - 56*u + 2049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1908\/(-10))\/(6\/20). Let q = n - -3168\/5. Suppose 3*l + 3*l = -18. Are l and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3010 - 162*b - 3010)*(7 - 4 + 2).\nAnswer: -810*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 12. Let n = k - -4. Let l be (-3)\/2*4\/(-9). What is the second biggest value in -5\/4, n, l?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a01914 - 4?\nAnswer: -a01918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 5, d: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1007299287 to the nearest integer?\nAnswer: 31738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -846 + 718252\/849. Is s >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) -1\/4 (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 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: What is (35\/35)\/((-2*1)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 i when three letters picked without replacement from {t: 4, q: 1, i: 8}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(204)\/(-4*-2*sqrt(12)) + -3) + ((-4 + sqrt(1088) + -2 + sqrt(1088) - sqrt(1088)) + -2*sqrt(1088) + -3)**2.\nAnswer: 287*sqrt(17)\/2 + 1181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 29. Let l be b(-11). Suppose t + l*t - 32 = 0. Solve t*u = -3*w - 6 + 3, 5*u - 2*w + 21 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 - 7 = 0. Suppose -13*q - 16 - 36 = 0. Which is the second biggest value? (a) y (b) 1\/2 (c) q (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u - 2*u - 22*u + 23*u**2 + 2 + 45*u**2.\nAnswer: 68*u**2 - 43*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7 = 3. Let h(m) = 2*m**3 + m**2 - m - 2. Calculate the remainder when h(f) is divided by -1 + 0 - (1 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 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: Simplify ((sqrt(84)*1)\/sqrt(12))**2*6 - (sqrt(252) + sqrt(252)*1 - (sqrt(14)*2)\/sqrt(2)).\nAnswer: -10*sqrt(7) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 2*h**2 - 9*h - 86. Let t be y(-7). Suppose -f + 888 = -5*f - 2*s, f + 5*s + t = 0. Is -221 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + (-10)\/(-3). Suppose -y*q + 2*q - 1 = 0. Suppose 5*i - 4*r - 113 = 0, 54*r - 35 = -2*i + 59*r. Sort 2, i, q.\nAnswer: q, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -95127, -190369, -285631, -380913, -476215?\n\"Answer: -10*v**2 - 95212*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 2827.43?\nAnswer: 127234.35","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -11 - 5 - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2123113 + 2?\nAnswer: -2123111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 675.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106957531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 7 + 1. Suppose 9*n - 6*n = 6. Solve c*w + 13 = 5*y, -n*y - 2*w + 5 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 370, 1552, 3550, 6364, 9994, 14440, 19702?\n\"Answer: 408*q**2 - 42*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i*k**3 + i*k**2 + i*k - 2*i - 60 wrt k.\nAnswer: 21*i*k**2 + 2*i*k + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/29 (b) 32.92 (c) -4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29991*p**3 - 1 - 295*p**2 + 295*p**2 + 1.\nAnswer: 29991*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9 = q, 3*q + d = 9 + 2. Suppose 0 = 5*g - q - 15. Suppose g*y - 31 + 3 = 0. Solve 5*v + y = 3*u + 20, -2*u + 2*v - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2171 - -2176. Solve 5*h = 14*f - 10*f - 21, -s*h = -f + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527*131.\nAnswer: -69037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, -3, 9318 in decreasing order.\nAnswer: 9318, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -19. Let l = -135305\/14 + 9659. Find the common denominator of ((-1)\/a)\/(24\/(-230)) and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4424 and 3002?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*o**3)*(-2*o + 2 - 2)*(3 - 2 + 1) - 5*o - 14697 - 101*o**4 + 14697 as v + h*o**4 + n*o**3 + j*o**2 + q*o and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568985?\nAnswer: 5, 113797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, s: 9}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20734 or -15615?\nAnswer: -15615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2745 divided by 2745\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 22. Suppose 2*g - 75 + 49 = -5*m, 4*g - 3*m = 0. Let z(r) = 3*r + 66. Give g*z(n) + 8*i(n).\nAnswer: n + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1705877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -29. Solve q = 3*u - 3 - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - (-4 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1700 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 5*k**4 - 2*k**4 + (0*k**2 - 2*k**2 + 3*k**2)*(3*k**2 + 0*k**2 - 7*k**2) - 3*k**4 + 2*k**4 + 3*k**4.\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 210 + 15*i - 617 + 238 + 215. Let m(w) = 7*w + 23. Determine 13*m(r) - 6*q(r).\nAnswer: r + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:57 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 114438*b - 572192. Calculate r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r = 59*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*1\/(-1). Let f = 3292 - 3288. What is the closest to 1 in -1\/2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235896 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24150)\/3059 - (7 + -23 + 8). Factor -42*k**2 - j*k**4 - 82\/19*k**3 + 882\/19*k + 0.\nAnswer: -2*k*(k - 1)*(k + 21)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/3857 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57713 * -0.37\nAnswer: 21353.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3400)\/816)\/(4\/24)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/7, 0.3, -21, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 + t**2 - 9. Let v be (1 + 11)\/(12\/(-1848)). Let w be (-88)\/42 - 11\/(v\/16). Let y(z) = z**3 - 2. Determine w*x(f) + 9*y(f).\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/145)*3\/((-555)\/(-148)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 13 - (-1 + 0 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.08, -3, 0.2 in descending order.\nAnswer: 1, 0.2, -0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3294 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 18*y - 888. Suppose 5 = -12*k + y. Let q(r) = r**3 - 5*r**2 + 4*r - 2. Give q(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**5 + 6*x**4 + 129722*x**3 + 2506898*x**2 wrt x?\nAnswer: 180*x**2 + 144*x + 778332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131812687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 33. Let o(c) = -14*c + 27. Let g(t) = -4*t**3 - t**2 - 4*t - 3. Calculate the remainder when o(h) is divided by g(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 2. Let z be l(-6). Let g be (-6)\/z + (-15)\/(-4). Suppose 4*w - x = 14, 3*w = -g*x + x + 16. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*o - 5636 + 4312 = 19638 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 16 - (10 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1647070, -3294164, -4941272, -6588394, -8235530, -9882680, -11529844?\nAnswer: -13177022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804694.5 grams to milligrams.\nAnswer: 804694500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5384 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4211 (base 6) in base 15?\nAnswer: -42d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -29. Suppose 9 = 4*j - 7. Suppose 0 - j = -k. What is the remainder when d is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469672 a multiple of 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 499 + -263. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 5*t - 2. Let w be i(-4). Let m(q) = 3 - 3*q - 5 + 4*q**w + 4*q - q**3. What are the prime factors of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 114*x**3 + 423*x**2 - 516*x + 204.\nAnswer: 3*(x - 34)*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15410 = -91*q + 330*q - 7295. Calculate the remainder when 382 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 110*a**3 - 825*a**2 + 2340*a - 1620.\nAnswer: -5*(a - 9)*(a - 6)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2026.95481 and -3?\nAnswer: -6080.86443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1415 + -0.3415. Sort -5\/3, b, 6, 0.02 in descending order.\nAnswer: 6, 0.02, b, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*v = 16, -5*p + 0 = 3*v - 20. Solve -4*w = k - 6, -k - 3*w - 3 = -p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 3*u - 4*u - u.\nAnswer: -2*u - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 329*w - 2524. Determine n(10).\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 580 + -1133. Let s be -1*1 - -3*w\/21. Let f = s - -80. Let c(j) = -j**3 + j**2 - j - 1. Give c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38762.\nAnswer: 2, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 16 - 5 - -1 - (0 - -7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/38 - 2*j**3\/57 + 5*j**2\/19 - 6*j\/19 + 112. Factor k(w).\nAnswer: -2*(w - 1)**2*(w + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143955121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 20a?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 = -a, 2*a - 30 = l + 12. Let m(b) = -b. Let d(s) = 5*s. Let t(z) = a*m(z) + 4*d(z). Let c(r) = 13*r - r - 3*r. Calculate t(c(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o**3 + o)*(-790 + 790 + 645*o).\nAnswer: 1290*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:14 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.43 (b) -0.1 (c) 646 (d) 46\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -51. Suppose a = j*a - 297. Solve -2*b + 3*k + 19 = 0, b - 2*k - 3*k - a = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5, -1382 = -4*k + 2*u. Suppose -2*z + 134 = -s, -k = -5*z - 2*s - 1. Suppose 70*x = z*x + 36. What is the remainder when 51 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - -1.6. Let n = p - -0.2. Put -4, n, 1\/8 in decreasing order.\nAnswer: 1\/8, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 743877*i**2*u**3 - 2*i*u**3 + 1519*i*u**2 - 55 wrt i?\nAnswer: 1487754*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-40)*18*(-6)\/(-45)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*m + m + 2*m + 3*m**3 + m**3 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 510.9 - 511. Suppose -2*i - 3*i - 3*y - 9 = 0, 0 = 3*i + 5*y + 15. Which is the biggest value? (a) 2\/5 (b) i (c) k (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4527369 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 + -196.968. Let m = 0.032 - q. Let x = -0.24 - -0.4. Is x at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6\/4 + (-2146)\/348.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 17821*p\/2 - 1105863\/4.\nAnswer: (p - 35673)*(p + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 + 2*a + 5. Let m be r(-5). Calculate the remainder when 16 is divided by ((-12)\/m)\/((-10)\/(-25)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2\/9*c**4 + 350\/9 - 20\/3*c**3 + 212\/3*c + 224\/9*c**2 = 0.\nAnswer: -1, 7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**3 - 1. Let w be k(1). Let q(t) = 3*t**2 - 12*t - 289. Let s be q(-8). Let b = 367\/2686 + -3\/158. What is the nearest to b in 1\/6, w, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1079 at least -1079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/(-8)*(-938)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p**3 + 11*p**2 + 24*p + 48. What is the tens digit of x(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-1)\/((-4)\/(-106)). What are the prime factors of ((-9)\/(-6))\/(-1)*(b + 5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234.567553 - 0.396947. Let y = d - -235. What is y rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14*z)\/(z*z\/(z\/z**8)) assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(16\/(-112))*55\/35\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189588 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*v = v - 76, 4*q + 58 = 71*v - 70*v for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306782878130 minus 2.1?\nAnswer: 1306782878127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5301 and 6327?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**3 + 4*h**2 + 5*h + 1. Let k(r) = -r**3 - r**2 - 2*r. Calculate g(s) + 4*k(s).\nAnswer: 10*s**3 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.4, 2\/9, -6, -0.5 in decreasing order.\nAnswer: 2\/9, -0.5, -6, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(125)*6.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-4)*(-17 + -3). Let u be ((-4)\/6)\/((-4)\/156). Suppose 2*n - u = -2*c, -27 = -5*n - 4*c + 35. Calculate the highest common divisor of s and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/9)*x\/(x*x**3\/x))\/(x**(-2\/3))**(2\/65) assuming x is positive.\nAnswer: x**(-638\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5454*y**3 + 617*y**4 + 712*y**4 + 5452*y**3 + 4*y - 11*y to w*y + m + p*y**3 + v*y**2 + f*y**4 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(102\/(-30) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 75, 109, 143, 177?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 = -4*l - 30. Let g be (l\/36 + -4)*-121558. Let m = 10106 - g. What is the common denominator of m and 109\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1115346.\nAnswer: -1\/557673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:00 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1424 + -0.1666. Let m = l - -0.309. What is the second smallest value in 0.19, m, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 38 = 2*a + 3*n, 5*n - 57 = -3*a. Suppose 2*s + 1 = -m - 0*m, -3*s = 5*m + a. Let l = 1 + s. Solve -l*p + 3*d = -15, -3*p + 7 = -4*d + 5*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703061 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768*p + 13 = w + 769*p, -3*p = 2*w - 30. Let r(k) = -k**2 + 7*k + 24. Give r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + l + 1. Let u be -1 + 0\/(2*-2). Let i be x(u). Solve 0 = a + i, -o - 5*a = 5 + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t - 25*t + 34 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -224839647943 and -0.1.\nAnswer: -224839647943.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 700272000 to the nearest 1000000.\nAnswer: 700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 - 4*k + 1. Let q(m) = -m**2 - m + 1. Let c(z) = b(z) - 4*q(z). Differentiate c(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0, 101\/10, 2\/3, 2, -0.4 in descending order.\nAnswer: 101\/10, 2, 2\/3, 0.04, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2410430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 4)*3)**2 + 0.\nAnswer: 72*sqrt(19) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -107, 2 in decreasing order.\nAnswer: 11, 2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-60))\/(2\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309118033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/5100*34*-170?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -21.3. What is the nearest to 1 in n, -4, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v - 21 = 0. Suppose 3*d = -3*a - v - 8, -d = 5*a + 1. Let m(l) = l**3 + 7*l**2 + 2*l. Let z be m(d). Solve 5*i + w = z, -5*i = w + w - 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123795 and 1575?\nAnswer: 618975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 85*i**5 - 40505*i**4 - 1910580*i**3 - 30278080*i**2 - 185274880*i - 300221040 = 0. Calculate i.\nAnswer: -14, -42\/17, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 9*f**2\/2 + 3. Let k(b) = -b**2 + 4. Let o(i) = -4. Let z(r) = -k(r) - o(r). What is y(z(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2995 * -302.\nAnswer: -90.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 568, 1145, 1730, 2323, 2924, 3533, 4150?\n\"Answer: 4*h**2 + 565*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:46 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - -2 - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -32*n**3 + 470*n**2 - 5*n - 14. Let f(a) = 6*a**3 - 94*a**2 + a + 3. Determine -11*f(m) - 2*k(m).\nAnswer: -2*m**3 + 94*m**2 - m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508404, 2033724, 4575960, 8135112?\nAnswer: 12711180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 12 = 2*q, -10 = -15*b + 10*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2) - 1 - (-12)\/(-120). What is the nearest to 0.2 in u, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 8*q**2 - 4*q - 9. Let o = -5189 - -5185. What is b(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3 = -j, 10 = -5*l - 5*j. Let i = -3 - -2.9. Let n = i - 0.4. Sort -4, l, n in ascending order.\nAnswer: -4, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 522 - 491. Let t be (-272)\/12 - (-2)\/(-6). Let d = t + l. Are 6 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i**2 - 301*i - 681. Determine o(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**4 - 37*u**3 - 88*u**2 wrt u?\nAnswer: -96*u - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.2 + -3229.\nAnswer: -3171.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 7147*g**3\/3 + 3416*g**2 - 2862. What is the second derivative of p(b) wrt b?\nAnswer: 14294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -29 (c) 5.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 8 = -30*c. What is the biggest value in c, -209, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3 (c) -1\/4 (d) 4129 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, q: 2, t: 1, k: 2, m: 2}. What is prob of sequence kic?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10534*j - 706299. Calculate h(67).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*p + 89*p - 38010000. What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let d be (-2)\/9 + 33\/27. Sort d, f, 3.\nAnswer: d, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 14004?\nAnswer: -70020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409 + 408.5. Let u = -0.004 + 40.004. Which is the nearest to -0.1? (a) u (b) n (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + 2*sqrt(3600))\/sqrt(12).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n = -60*n + 431 + 127 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4800.9447 to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/5 (b) 4 (c) 160 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h = 40*h + a + 34, -5*a = 2*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 8\/27, 1\/10, -4.8, -2\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 499.8 + -483. Let i = 33 - 62. Let p = u + i. Round p to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 8*f**2 - 2. Let c be l(-8). Let k(s) = s + 1. Give k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 0 + 0)*(11*h**2 - 19*h**2 - 13*h**2 + (-1 + h + 1)*(-3*h + h + 4*h)) to i*h + c*h**3 + p + l*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.26087 millimeters to meters.\nAnswer: 0.08226087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3839*m - 5372 - 1922*m - 1918*m to x + h*m and give x.\nAnswer: -5372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -225\/2744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25 + 3 + 1 - -2. Let q = 67 - f. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 10*h. Let v be y(-5). Sort 22, 4, v, 5 in descending order.\nAnswer: 22, 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 193892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 + 27 = -5*k, 5*s = -2*k + 27. Calculate the remainder when 4 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14053709, 28107419, 42161129, 56214839?\nAnswer: 70268549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cke when three letters picked without replacement from {k: 1, j: 5, u: 2, c: 4, e: 1, l: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1284)\/(-30))\/((-12)\/(-180)).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/147960657 and 125\/114?\nAnswer: 295921314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -32. Let j = -17 - f. What is the nearest to j in 2\/3, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/165*(-160)\/(-768)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -11. Let h(z) = z**3 + z**2 + z + 1. Let a(w) = -6*w**3 - w**2 - 7. Let t(b) = -a(b) - 5*h(b). Determine t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*z**4 + 47*z**4 - 31*z**5 - 2 - 2*z**5 + 0*z**5 + z**5 + (-z**2 + 2*z**2 - 2*z**2)*(z**3 + 0*z**3 + 0*z**3) - 2*z**5 + z**4 - z**4.\nAnswer: -35*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -0*x. Suppose 0 = -b + x + 7. Calculate the lowest common multiple of b and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/34)\/((-28236)\/240006).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(246\/30 - 8) + 6984\/485\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -315\/34? (a) 7 (b) 4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2597)\/(-1113)*4\/3612*-4*(-27)\/(-6)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + a**5 + 0*a + a**3 + 5*a + 3*a - 7*a**3 + 4*a**2.\nAnswer: a*(a - 2)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (-42 - -94 - 28).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 296030840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/3 - 4813*s**2\/3 + 17680*s - 38592 = 0.\nAnswer: -4824, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625 is divided by 768?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 7*k**3 + 28)*(-23 - 11*k + 23) in the form t*k + q*k**2 + s*k**4 + v + z*k**3 and give s.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 6*l - l)*(-3 + 7 - 2) + (-2*l - 2*l + 13*l)*(6 - 3 + 0) in the form m + g*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 2. Let t(c) = c - 2. Let s be t(5). Let v(f) = f + 11. Let p be v(-10). Suppose -p = -u - s. Determine b(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114500276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmev when four letters picked without replacement from {v: 2, s: 3, e: 1, m: 4}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412073.6mm to centimeters.\nAnswer: 41207.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -261, -217, -79, 201, 671, 1379, 2373, 3701?\n\"Answer: 8*y**3 - y**2 - 9*y - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0\/(0 - 2). Suppose 0*b + b + 5*o = -8, -4*b - 8 = -4*o. Let i be (-8)\/(-2) + c + b. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-25))\/((-1204)\/(-60) - 20).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2107\/50 - -34\/25. Find the common denominator of z and (-54)\/(-135)*(-550)\/72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1545990 divided by -29\nAnswer: -53310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -10 + 0*r**2 + 1\/3*r**3 + 0*r. Let s(v) = -5*v - 20*v - v. Determine s(y(t)).\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/4 - 102\/68 - 4070\/(-450).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3609287587.79946 + 3609415641. Let f = -128051 + a. Let p = 2.2 - f. What is p rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -247, -539, -945, -1465, -2099, -2847?\nAnswer: -3709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11259 + -5582. What is the tens digit of (-8)\/(-12) + u\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/4*((-361)\/(-266))\/19 + (-6 - 1)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, -18, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 429 = -355. Suppose -2*j + s = -26. Is j 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 37033?\nAnswer: 29, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-60)*27\/(-4). Let z be (-1)\/(y\/3 - 4). Solve -g + z = 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*c = -172, 3*d - 4*c - 2163 = -2051. Let -2681\/2*x**4 + d - 735\/4*x**5 - 448*x + 1842*x**2 - 1933*x**3 = 0. Calculate x.\nAnswer: -4, 2\/15, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2 - 9*s**2 - 5*s**2. Let n(p) = 2*p + 6. Let f(v) = 2*v + 5. Let q(o) = -6*f(o) + 5*n(o). Give q(r(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8 + -1)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 + 5. Let v(p) be the third derivative of -p**5\/20 - 5*p**3\/6 - 1264*p**2. What is 3*h(m) + 2*v(m)?\nAnswer: -3*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/5 - -4 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 - -183. Is (-6)\/y - (14457\/(-21) + 0) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = -89 - 98. Suppose 0 = 4*h - 54 - 26. Let b = x + h. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -17)*(1 - -1139864). Suppose m - 8302583 = 2*u. Let c = u + -10977426. Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3330 - -31?\nAnswer: -3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 24*r**2 + 4*r - 84. Give i(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g**3 - 3*g**2 + g - 10. Let b be r(5). Let m = -537 + b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 2*u - 4*u + 0*u. Let a(t) = -2*t + 8. Let s(h) = -1. Let p(w) = -a(w) - 8*s(w). Calculate p(m(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 + 2*h - 2. Suppose 4*j + 8 = 3*r, -r - 5*j - 29 = -0*r. Let d = -1 - r. Suppose 4*k = -t + 12, -3*k - 4*t - d = 1. Give b(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 11, k: 1}. What is prob of sequence pppt?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 2341416?\nAnswer: 21072744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (15\/(-20))\/(1\/(-40)) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjj. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/21*(-42)\/4. Let h = 1633 - i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32430 divided by -6\nAnswer: -5405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5647687, 22590804, 50829339, 90363298, 141192687, 203317512?\nAnswer: 276737779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4609258, 4609260, 4609262, 4609264, 4609266, 4609268?\nAnswer: 4609270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754959847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 268, 536, 804?\n\"Answer: 268*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:01 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 1 - 6. Let a(v) = v + 1. Let f be a(p). Solve -5*g = 5*b, 3*b - 4*b - 4 = f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from dckkkdcccdddkd.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**5 + 3073192*n**3 - 17242494*n**2?\nAnswer: -300*n**2 + 18439152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -109 and 727773.231.\nAnswer: 727664.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87774617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + -10 - (13 - -10)) + 8 + 0 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/12 and 3 - (52\/16 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 997, 2133, 3265, 4393, 5517, 6637?\nAnswer: 7753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/9439724 and -89\/8103914?\nAnswer: 859014884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9011\/2610 - -5\/261. Find the common denominator of -149\/30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(13) + -5)**2 - (0 + sqrt(832))**2) + (4*(-1*sqrt(130) + sqrt(130) + sqrt(130)))\/sqrt(10).\nAnswer: -794 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2473.999998386 - 2474. Round y to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*i + 282*i + 25*i.\nAnswer: 436*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 22*p**2 - 20*p + 17. Give k(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 1, 34, 195 in decreasing order.\nAnswer: 195, 34, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 1118 + 2. What is the common denominator of -18\/7 and (-480)\/a*(-9)\/40?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1244 + -1213. Solve 0 = -21*i + u*i + 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2. Let p(m) be the first derivative of -m**2 - 5. Determine p(f(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -203, -192, -181, -170?\n\"Answer: 11*y - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 8*l**2 - 2*l - 6. Let b(i) = i**3 - 10*i**2 - 8. Let v be b(10). Let g be k(v). List the prime factors of g*(24\/(-15))\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(3\/7)*f)\/(f*f\/((f\/((f*f\/(((f*((f\/((f*f\/f**(-5\/12))\/f))\/f)\/f*f*f)\/f)\/f))\/f))\/f)))\/(f**33*f**(-2\/77)*f*f*f) assuming f is positive.\nAnswer: f**(-34945\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 - 3 = 0. Solve -18 = -4*q - i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*l**6 - 2*l**3 + 1994*l**2 wrt l?\nAnswer: -31560*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d**2 + 4*d - 302. Let r(z) = 3*z**2 + z - 2. Give -4*r(n) + v(n).\nAnswer: -n**2 - 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m + 352*m - 16548 = 32*m - 123*m for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 132*n - 27546. Determine d(211).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + 0.8. Let p = j - 3. Let q = p - -0.2. Is 1\/4 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.966 - -0.034. Let g = y - 27.9954. What is g rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*p - 14*p - 38 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 803883676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 4*k**2 + 9*k + 3. Let a(i) = i**3 - 3*i**2 + 9*i + 3. Let o(c) = 5*a(c) - 6*t(c). Let d = -2114 - -2122. Give o(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntttnuttttott. What is prob of picking 1 n and 1 o?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + 4 + 2. Suppose 4*t - 20 = -g*b, b - 3*b = 3*t - 15. Suppose 25 + 70 = 5*k. Solve -h + n - 3 = -2, 0 = -h - t*n - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164.9 + 165. Which is the smallest value? (a) -5 (b) -2 (c) v (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*d. Suppose 4 = 4*l + 4*y, d*y - 5 = 5*l - 34. Let w be 639\/4 + 1\/l. Calculate the greatest common divisor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94755048.\nAnswer: 2, 3, 523, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519 rounded to the nearest 10?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4907\/4 - 1248. Calculate the common denominator of 9\/2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -23. What is the smallest value in 1\/6, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5150\/13 - 396. Suppose -w + 12 = 3*w. Sort w, 0.7, i in increasing order.\nAnswer: i, 0.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.8 + -6. Let f = 23 + -23.8. Let p = f + r. Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 2*k + 2. Let r(t) = t**3 + 3*t - 2. Let w(c) = -3*r(c) - 4*s(c). Let l be w(2). Solve -g + l*b + 4 = 3*g, -5*g - 40 = 4*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.496 - -21.996. Which is the closest to -2\/5? (a) o (b) -1 (c) 1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -2, -19\/210, -16?\nAnswer: -19\/210","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22187*g = -707*g + 601440 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/475 - 66527\/12825. Is -4 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6874285*d**3*h - d**2*h - 145*d**2 - 5*d*h + 15*d wrt d.\nAnswer: 41245710*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from rgpprgvvvgg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 4, -19, -62, -131?\n\"Answer: -l**3 - l**2 + l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 26*p - 200 = 0. Let w = p - 34. Let h be (2\/(-4))\/(1\/(-6)). Solve -3*c + 6 = h*x, -3*x = 2*c + 2*x - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 39, 10036 in decreasing order.\nAnswer: 10036, 39, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*s**4\/9 + 221084*s**3\/9 + 63224*s**2\/9 - 884336*s\/9 - 84224\/3 = 0. Calculate s.\nAnswer: -2, -2\/7, 2, 15792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/19521 (c) 2\/2903\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*d - 36 = 0, -28 = -w + 3*d - 40. Let u(z) = 4*z**2 + 15*z - 7. Let v(o) = -o**2 - o + 1. Let s(g) = u(g) + 3*v(g). Calculate s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 17 - 7. Let s(j) = 2*j - 8. Let f(p) = 3*p - 15. Let a(t) = -f(t) + 2*s(t). Calculate a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = 4*q, -q + 5 = 42*x - 39*x. Let g(a) = -3 + 6*a + 7 + 4*a**3 + a**2 - 2*a. Let s(h) = -h - 1. Give x*g(c) + 4*s(c).\nAnswer: 4*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/23, 2\/11, -905, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 11*g**2 + 11*g - 48. Let u be v(-9). Suppose z = 5*k - 30, -4*z - z - u = 2*k. Solve 0*m + 3*c = -4*m - k, 4*c = -m - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**24*x*x*x\/(x**(1\/4)*x)*x**(1\/10)\/(x**(-24)*x))**(-4\/27) assuming x is positive.\nAnswer: x**(-977\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*c - 715*c - 602 - 3230 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*w**3 + 850 + 4318*w + 4098*w**2 - 1592*w + 31*w**3 - 396 = 0. Calculate w.\nAnswer: -227, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.38 - -0.02. Let h = 7427.9 + -7427. Which is the closest to -0.2? (a) k (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -33. Let b be (4 - 0) + (f - -10). What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156158359 to the nearest integer?\nAnswer: 12496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -52255 < -418033\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22941\/29 + -791. Let j = 9 + -12. Which is the smallest value? (a) j (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 101706.\nAnswer: -6, 2, 101706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n + 1. Suppose 0 = -5*i - 12 + 7. What is a(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-45))\/((-6)\/(-2))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155 + 158. Solve 0 = -7*f + m*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367\/392 + -3\/49. What is the common denominator of 103\/5950 and t?\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = 5*i. Which is the closest to 2\/3? (a) 3 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 8 + -2)*15\/(-6). Let v = 31 + q. Calculate the lowest common multiple of 20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -132505521?\nAnswer: 132505525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3465 = -5*b. Suppose 19*w + b = 22*w. Suppose 13*q + w = 16*q. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeweemwwmeee. Give prob of sequence ew.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 1 + 0*n - 3*n)*(0*n + 0*n + n**3).\nAnswer: -3*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 + 50*k + 3088. Give m(-22).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*b**2*r**2*w**3 - b**2*w**3 - 2*b*r**2 - 2*r**2*w - 57*w**3 wrt b?\nAnswer: -192*r**2*w**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/6)\/u**(2\/41) assuming u is positive.\nAnswer: u**(-217\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -35. Let m be (-8)\/4 - 2\/y*14. Put -2, 76, m in decreasing order.\nAnswer: 76, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/264265899?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 120, 279, 502, 789?\n\"Answer: 32*l**2 - l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 11 (b) -11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -31*d + 39*d, 3*d = s - 18 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1300*v + 1336*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-4)\/1)*-1*(-48)\/12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1.929.\nAnswer: 0.5787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:19 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -80. Suppose -5*h + 2*h + 38 = 2*m, -3*h - 3*m = -t. Let n = 22 - h. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*d - 15 - 9, 28 = 5*x - 2*d. Let b be x + -5*(1 + (-3)\/15). Solve 3*y - 5*y - 10 = b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - -257. Let q = x + -32. Calculate the greatest common divisor of q and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 28*w - 10*w**3 - 14 - 32*w + 11*w**3 + 4 + 5.\nAnswer: w**3 - 51*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -77. Suppose -14*n + 9*n = -h. Calculate the highest common factor of 77 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8 + (-33)\/2. Is -16 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196139 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: What is the tens digit of 9399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = -19*q + 29807. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/47)*x))**17 assuming x is positive.\nAnswer: x**(34\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(75))*-5 + 5 + 2.\nAnswer: -25*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h*h**(7\/3)))\/(h**(1\/2))**(-4\/17) assuming h is positive.\nAnswer: h**(-266\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4, -2*m + 33 = 6*h - h. Suppose 0*n + 10 = 5*n. Suppose -n*b = -4*b + 28. Solve -h*c = -1 - b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 3*v**2 + 1 - 2*v**2 + 2*v**3 - 8*v**3 + 5*v**3. Let h be o(0). Suppose 2 - 10 = -2*a. Solve t - a = h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -303857\/45 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/(-95) - (-12)\/5. Suppose -5*c + 25 = q + 7, -u*q = -5*c + 9. Let j(t) = -t**3 + 2*t**2 + 3*t + 1. Let b be j(q). Solve -b = -3*h + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 1 - 1)*(6*v - 2*v - 3*v) + 4*v**2 - v**2 - v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -339193 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1733 - 1738 - 62*q**3 - q + 9*q**3 as t + l*q**2 + k*q**3 + i*q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/((-25)\/(-5)) - 8\/(-21)*20358\/780?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.72 and -4.666.\nAnswer: 26.68952","meta":{"dup_signals":{},"source":"arithmetic__mul_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: How many minutes are there between 4:34 PM and 12:26 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 169*g**4\/3 - 4400*g - 2. Let l(c) = 3*c. Calculate s(l(z)).\nAnswer: 6084*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -52*r**2 + 8*r + 7. What is j(-1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8965573*r*z**2 - r*z + 18*r + 1170*z + 3 wrt z?\nAnswer: 17931146*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -1868, -3992, -6980, -10850, -15620, -21308?\nAnswer: -27932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*u**2 + 8115414 - 4652*u.\nAnswer: 2*(u - 3489)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 7 - 4 - 2 - 1.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**5 - 50*s**4 - 8730*s**3 + 257840*s**2 - 2603315*s + 8984250 = 0.\nAnswer: -50, 11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 3, o: 5, b: 4, p: 5, v: 2}. What is prob of picking 2 d?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5804, 1\/2.\nAnswer: -5804, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s + 2*s + 3*s**2 + 0*s + 4*s as v*s**2 + o*s + n and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6)\/(44\/33).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10163966*0.5.\nAnswer: -5081983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -0*s - 5*l + 15, -5*l = 2*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*454\nAnswer: -90.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 25?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322262 is divided by 491.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/14))\/(h*h*h**(-3\/13)))**(1\/17) assuming h is positive.\nAnswer: h**(-127\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 61. Let s be (-1016)\/(-6) - (-6)\/o. Suppose 5*d + m = 345, -s + 14 = -2*d + 3*m. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11111 + 2211?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011 (base 2) in base 14?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/299 and 89\/104.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -74039 and 37061.\nAnswer: -36978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 261 = 243. What is the closest to -1 in -5, 11, i, 22?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. What is the third derivative of i**2 - 2*i**3 + t*i**3 - 2*i**2 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 2.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1991 and 42676?\nAnswer: 84967916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let s be 1*(-3)\/9*(-30)\/(-8). Which is the third biggest value? (a) -4 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 5*f - 11. Let a(s) = 6*s**2 + 9*s + 21. What is 5*a(x) + 9*d(x)?\nAnswer: 3*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-12))\/((-4)\/(-114)). Let k be 4\/6*(-5 - 19). Let y = u + k. Solve -2*i = y*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*(-16)\/48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-28))\/(31\/(10416\/(-160)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 49903, -1.3, 0.1 in descending order.\nAnswer: 49903, 0.3, 0.1, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 20.9. Let v = j + 2.1021. What is v rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 1. Let f be z(-2). Suppose 6 = f*m - 0. Suppose -w = m*w - 39. Calculate the remainder when 25 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 2 + 3*r**3 - r**2 - 2 - 2 - 351*r + 352*r. Calculate z(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 28 = -5*u - 47, -4*n = -3*u + 100. Let j be (0 + -5)*30\/n. Solve -j + 1 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) 31 (c) 3\/8 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**(2\/23))*d*d))**(-34)\/(d**(-14)*d**24))**(-27) assuming d is positive.\nAnswer: d**(-13068\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 9 - 4*i + 0)*(5*i**2 - 2*i**2 + 0*i**2 + (i**2 - i**2 - i**2)*(2 - 5 + 1) - i**2 - i + i).\nAnswer: -16*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86469\/1845 - 47) + (-388)\/15?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*141186.\nAnswer: -1270674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6745 - 6735. Solve -14*q + 41 = -5*i - d*q, -3*q = -5*i - 37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355*s**5 - 7*s**4 + 454*s**3 - 9882*s**2 wrt s?\nAnswer: 21300*s**2 - 168*s + 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/5)\/1 + (-14)\/(-210). Let s(w) be the third derivative of 0*w**4 + 0 + v*w**3 - 2*w**2 + 0*w - 1\/60*w**5. What is the first derivative of s(m) wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/468)\/((-4)\/(-24))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v + 3. Let b(g) = 5*g - 5. Suppose 6 + 15 = s. Suppose -6*c - s = -3*c. Suppose -a - 4*a - 20 = 0. Give a*b(d) + c*q(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-16))\/(8\/32)*-40. What is the remainder when 7548\/z - 4\/(-20) is divided by 11\/(-22) - 87\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 47\/9 - (-8)\/(-36). Suppose 0*h - h - 4 = a, 0 = -x*h + 3*a - 4. Let n be -2 + 0*h\/4. Put n, 3, 4 in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 140*y**4 - 1420*y**3 + 3460*y**2 - 3200*y + 1024.\nAnswer: -4*(y - 16)**2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -5, 3.911 in descending order.\nAnswer: 118, 3.911, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)\/(i\/i**(-5\/4))*i**(-1)*i**(1\/13)*i assuming i is positive.\nAnswer: i**(-581\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1756752 and -42.\nAnswer: 73783584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 96 = -15*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 35 = -12*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652 divided by -2?\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504227, -1008447, -1512669, -2016893, -2521119, -3025347, -3529577?\nAnswer: -4033809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*a - 3 + 1, 4*o - 3*a = 10. Let j = o + 2. Solve 3*m - 24 = j*t, 5*m = -2*t - 7 + 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) + (-126)\/130. Let x = 27\/52 + m. Which is the biggest value? (a) x (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 25. Let t be a(-14). Let f(q) = t - 5*q + 6*q + 2 - 10*q + q**2. What is the lowest common multiple of f(8) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54843, 219612, 494311, 878940?\nAnswer: 1373499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009459183 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2\/7, 10, -1\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t + 279. Let n = 501 - 476. Let v be d(n). Is 24 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + -2 + sqrt(1584)*-2 + (1 + sqrt(1584) + -2 - sqrt(1584)))**2 + 1.\nAnswer: 240*sqrt(11) + 6362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/10 and 57\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 31*a**2 + 33*a + 66. Let g be o(30). What is the highest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62482619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278421287?\nAnswer: 3, 11, 13, 41, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + l = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 8*u**2 + 2*u. Let g be 3*((-8)\/(-12))\/((-3)\/6). Let w be g\/3*180\/40. Is 33 a factor of v(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 74, 174, 358, 650, 1074, 1654?\n\"Answer: 4*c**3 + 6*c**2 - 6*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4395*g**4 + 3*g**3 + 166812*g wrt g.\nAnswer: 52740*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 32*g**2 - 4*g + 58. What is u(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {y: 3, p: 6, k: 4, i: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44\/11*((-87)\/(-16))\/((-162)\/4104*19)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:41 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*m = 13, -3*m = 3*t - 2 - 7. Solve 0 = t*d + 82 - 102 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25793.\nAnswer: 25793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -263*w**6\/40 + 175*w**4\/4 - 3*w**2 + 125*w. What is the second derivative of s(f) wrt f?\nAnswer: -4734*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24.9 and 6.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -11 - (4 + -1 + -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hedjjedzhezpdjhjh. What is prob of picking 1 p, 2 z, and 1 h?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a4a - 3?\nAnswer: -6a4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**9\/1512 - d**5\/120 - d**3\/3 + 3. Let i(z) be the third derivative of a(z). Find the second derivative of i(v) wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 15. Let j(o) = o**3 - 4*o**2 - o + 3. Let h be j(z). What is the tens digit of (h\/(-3) - -3)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -776*v**3 - 308*v**3 - 56*v**3 - v**3 - v**3 + 3*v - v + (-8*v**3 - 2*v**3 + 8*v**3)*(-2 + 0 + 4) in the form t*v + y + g*v**3 + c*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -27. Let d(z) = 9 - 8 + i + 5*z. What is the tens digit of d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10816215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - m = 20, 2*o + 10 = m - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 7, k: 12}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/41 in -2\/5, -0.1, 0.2447?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.309662 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 203\/2, -50320\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + 42*m**2 + 84 + 205 - 144.\nAnswer: 42*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981423089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230617, -922559, -2075811, -3690385, -5766293, -8303547, -11302159, -14762141?\nAnswer: -18683505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713d (base 14) to base 2.\nAnswer: 100110000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7289 is divided by 2429.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2450 = -2*s - 2452 + 4872, 0 = 3*t - 3*s + 21 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.54 (b) 3 (c) 515\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d - 3. Let u be c(-5). Suppose 49*h + 579 = u*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1245 - -15098. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:57 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 5*i - 1411 = -19*i - 38*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 53 - (4 - (5 - -5 - 3) - -14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 14. Suppose -4*p + 3*v = -u, p - v - v = 4. Let i = -1 - -3. What is the nearest to p in i, -1\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-357))\/(63\/(-1323)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqbd. What is prob of sequence bd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -4*g - 56, 61*g + 65*g = 121*g + 5*c - 85 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.108647 bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/20)\/(2\/5). Let g = d + 5. Solve a + g*a - 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/(-9) + 4\/(-6). Suppose -26 = -2*c - 2*q, 2*q = 8*c - 3*c - 30. Let o = k - c. Let t(h) = -h + 1. What is t(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*y - 1776, 3*n - 4*y = -2*y + 1339. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 + 0.3368. Let f = k - -0.0332. Which is the nearest to -1? (a) -5 (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/8*1416\/18290*-31?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22131255 (base 6) to base 7.\nAnswer: 5440163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 54?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12390*c - 12050?\nAnswer: -12390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*m + 4*c + 14, 3*c + 3 = 0. Suppose -6*q + m = -2*q. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4107, 8238, 12369, 16500, 20631, 24762?\n\"Answer: 4131*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b**3 + 5*b + 2 - 3*b - 2 to the form t + q*b + k*b**2 + g*b**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -560 + 563. Put 7, -16, s, 0 in increasing order.\nAnswer: -16, 0, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/(-14))\/((5 + -4)\/469) is divided by 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwwx when four letters picked without replacement from bwiiuwxx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -521597.72 rounded to the nearest 1000?\nAnswer: -522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2 - 1. Determine v(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 5*w**4\/12 - 4*w**2. Let d be s(10). Find the second derivative of -3*g + d*g + 2*g + g**2 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120039493*v**4 - 126234412*v wrt v.\nAnswer: 1440473916*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-4) + 4 + 24\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21574605\/23 not equal to -938026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -1135, -3840, -9103, -17776, -30711, -48760, -72775?\nAnswer: -103608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o - 65. Let l be c(-20). Solve 4*r - 35 = 2*g + g, r + l = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -2075, -6954, -16455, -32120, -55491, -88110?\nAnswer: -131519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 1, w: 2}. Give prob of sequence pp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -273 + -534. Let l = w - -808. Which is the fourth biggest value? (a) l (b) 5 (c) -1 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114722869 to the nearest integer?\nAnswer: 10711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*v**5 + 80*v**4*y + 2*v**3 - v*y - 2781*v - y wrt v?\nAnswer: 400*v**3 + 960*v**2*y + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0*w**2 - w**3 + w**5 + 3*w**4 + 0 + 0 - 7*w**2 + 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = -6*c + 5*c, 4*d = -3*c. What is the third derivative of 0*y - 2*y**3 - d*y**2 + y**2 + 0*y wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/5 - 7*p**3\/5 + 11*p**2\/5 - p = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3824377*o**3 + 3828023*o**3 - 7652398*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - z + 4 = z, -4*z + 28 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*m + 10 = 0, 4*u = -0*u - m + 18. Let r be ((-21)\/(-84))\/((-1)\/(-16)). Find the first derivative of 4 + 3*x**u + 2 - x**r - x**4 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -130, -4, -8 in increasing order.\nAnswer: -130, -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 16. Let k be (u + 6)\/(-3)*-1. What is the derivative of -2*j - 3 - k*j - 4 - 2*j wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8729)\/31175*15\/2?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1769 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 13197254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 divided by 2?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100893*i**3 + i**2 + 87681*i?\nAnswer: 605358*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -12220122100010110?\nAnswer: -12220122100010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d**4 + 7*d**2 - 6. Let k(z) = -28*z**4 + 24 - 5 - 6 - 14*z**2. Let i(m) = 6*k(m) + 13*r(m). What is the third derivative of i(v) wrt v?\nAnswer: 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -12. Let c(x) be the first derivative of -14 + d*x + 20\/3*x**3 - 14\/5*x**5 + 0*x**4 + 0*x**2. What is the third derivative of c(y) wrt y?\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5738 - 9*u**3 + u + 28*u**3 - 5*u - 3*u**3 - 14*u**3.\nAnswer: 2*u**3 - 4*u + 5738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r, 0 = -4*p - 4*r - 4. Let v = 7 + p. Let j = v + -1. Solve j*k - 2 = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88a859 (base 11) to base 7\nAnswer: -15032405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 1\/4*k**5 - 7\/4*k**3 + 0*k**4 + 0*k + 3\/2*k**2 + 0 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -41*n**3 + n**2 - 3*n + 5. Let c(g) = 32*g**2 - 2*g - 41*g**3 - 32*g**2 + 4. Let k(w) = 5*c(w) - 4*u(w). What is the third derivative of k(f) wrt f?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**4 + g**3 + g**2 - g + 1. Let x(u) = 30*u**4 + 35*u**3 + 9*u**2 - 9*u - 1326. Let w(b) = 9*v(b) - x(b). Find the first derivative of w(a) wrt a.\nAnswer: -12*a**3 - 78*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.83 + -43. Round l to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1885 or -1715263\/910?\nAnswer: -1715263\/910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1761*p**3 - 2*p**2 + 462?\nAnswer: 5283*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -35*n**3 + 11*n**2 - 6*n - 6. Let w(v) = -v**3 - v**2 - 2*v - 2. What is -l(a) + 3*w(a)?\nAnswer: 32*a**3 - 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v + 4907 + 4894 - 57*v**2 - 9816 + 11*v.\nAnswer: -57*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25551966991 and 0.\nAnswer: 25551966991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3076428 and 1752.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/6 (c) 0.1 (d) -7\/16 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/110*(27280\/279)\/(-40).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 2. Let w be ((-30)\/(-9))\/(s\/24). What are the prime factors of 45\/6*(-72)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6232)\/(-1722))\/((-6)\/(-9)*156\/91)\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iieieiii. Give prob of sequence ee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-4) + 4\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922259.2 nanograms in grams?\nAnswer: 0.0009222592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 1. Let v be h(1). Suppose 0 = 4*j - 4*y + v*y - 46, -2*j + 26 = 4*y. Calculate the remainder when -3*(-3 - 10) + 2 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 3*t**2 + 9*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3902.3288 to the nearest ten.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12030991 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -5*a**3\/6 + 5*a**2 - 23*a. What is b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1249.8 and -2.8.\nAnswer: 3499.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 13. Suppose f*u = 2*g - 8 - 5, 7 = 5*u + 3*g. Let o = -839\/9 + 93. Which is greater: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -573*y + 1 + 19*y - 396*y - 1540*y - 1795*y as d + l*y and give l.\nAnswer: -4285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a minute in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 163.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -29*q**3 + 17*q**2 + 25*q - 17. Let z(m) = 10*m**3 - 6*m**2 - 9*m + 6. Determine -6*v(k) - 17*z(k).\nAnswer: 4*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6 + 10*v**2 - 11 to n + g*v**2 + f*v and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 1250613004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -9)\/((-7 + 10)\/((-6)\/(-2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p + p)*(-8*p**3 + 8*p**3 - 69*p**3).\nAnswer: -138*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2109*d - 70 - 5*d**4 + 1120*d - 35*d**3 + 1084*d + 15*d**2 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9382.565 litres to millilitres.\nAnswer: 9382565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768 and 163176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -1 (c) -1.2037 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 802751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100048331 is divided by 100?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -1 + -5 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-5 + -1 - 1 - (72 - 82))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/17 (b) 3 (c) -4 (d) 0.5 (e) 0 (f) -5 (g) -73\/26\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 2. Which is the second biggest value? (a) 1 (b) 47 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 104303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) 10 (c) -2.8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 637\/(-52). What is the units digit of -3 + (y\/2 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 517.2 + -517. Which is the nearest to -2\/15? (a) q (b) -3 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -3, 532685 in ascending order.\nAnswer: -3, 2, 4, 532685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2. Suppose u - 15 = -12. Suppose 2*l + 30 = -u*l. Let m be 3 + 2*-1 + 0. Let z(n) = 8*n**2 - 2*n - 1. What is l*i(g) + m*z(g)?\nAnswer: 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 157*w + 152*w = 130, -3*w = 2*n + 79 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 5 - -25 - 27) + 4 + 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-1 - 23)*1268 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n - 35. Let i(u) be the second derivative of -5*u**3\/6 + 17*u**2\/2 - 85*u - 3. Give 13*i(y) + 6*k(y).\nAnswer: y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -158. Let p = y + -62. Let f = 16 - 10. What is the greatest common divisor of p and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0.45. Let r = 75.851 + -76. Let p = g - r. Round p to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*(-4 + 0 + -2). Let o be 6\/2 + -3 + 0. Suppose o = b*g + z - 12, 4*z + 8 = 4*g - 24. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -5653278.\nAnswer: -5653281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -62608.36034 rounded to the nearest one hundred?\nAnswer: -62600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (846\/(-470))\/(1\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(3) + sqrt(3) + sqrt(6)\/sqrt(2)) + sqrt(105)\/(sqrt(3)*-3))\/((sqrt(7) - sqrt(77)\/(sqrt(396) - sqrt(11)))*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 + 274. Which is smaller: m or 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = -i. Is i bigger than 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13933*s + 432*s + 156 - 16094*s - 156.\nAnswer: -29595*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70936230.\nAnswer: 2, 3, 5, 463, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.2 + 3.2. Let c = 0.64 + -5.94. Let k = c - d. What is the closest to -1 in k, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -122. Let j = o - 37. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = 0, r - 4*r + 130 = n. Calculate the greatest common factor of r and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014773724869 to seven dps.\nAnswer: 0.0001477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**4 + 74*r**3 + 932*r**2 + 2806*r + 1947 = 0.\nAnswer: -59, -11, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(0*z**2 + 3*z**2 - 7*z**2 - z**4) - z**4 + 2*z**2 - 2*z**2.\nAnswer: z**4 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9*4*22\/4)\/(78\/156). Calculate the highest common divisor of 2046 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149803\/55260 - 16\/2763. Calculate the common denominator of v and 11\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 q when three letters picked without replacement from trzdqpzqptprzqz?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74169.7826 - -74127. Let p = s + -0.0174. Round p to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:14 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -3 (c) 51\/5 (d) -3\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/(-4)) + (-3534)\/837.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -564221 - -272319690\nAnswer: 271755469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 83*c**2 - 67*c - 6. Let q(z) = -84*z**2 + 67*z + 7. Let s(g) = -6*q(g) - 7*u(g). What is the second derivative of s(r) wrt r?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 126*c**2 + 3922*c - 761. Calculate x(-69).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4760510 by -116110.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.36 rounded to one dp?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18018384511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39952 + -39947. Let o(i) = 7*i**2 + 4*i - 5. What is the remainder when o(4) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/7)\/1)\/(127*(-166)\/(-221361)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 43*g - 89*g - 1 + 43*g. Let p(q) = 4*q + 1. Calculate 7*c(x) + 5*p(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62004827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847*c*y**2 - c*y + 433*c wrt y.\nAnswer: -1694*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppappppppaappp. Give prob of picking 1 p and 3 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.1. Let z be 8\/(-84) + (-774)\/(-189). Let t = 543 - 540. Which is the closest to f? (a) 1\/4 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102\/11 + 692\/77. Let y = -0.37 + -0.03. What is the third smallest value in r, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*3*-4)\/(sqrt(150)*-2).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 y when four letters picked without replacement from mymmmy?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -63.9. Which is the third biggest value? (a) 5 (b) y (c) -0.2 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let u(z) = 2*z**2 + 2*z + 2387335. Calculate l(u(d)).\nAnswer: -4*d**2 - 4*d - 4774670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2611.2 + 2611. Which is the third biggest value? (a) g (b) -1 (c) 10 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 252?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/7*(-3)\/(-6)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -605, -1171, -1647, -2033, -2329?\n\"Answer: 45*h**2 - 701*h + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 40*n**2 - 1457*n + 76. Determine f(23).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-86)\/(-18) - (-7)\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84570005783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s + 3. Let b(m) be the third derivative of m**5\/20 - m**4\/3 - m**3\/6 - 7*m**2 + 1. Let j be b(3). Let n(o) = 17*o + 12. Determine j*n(d) - 9*y(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.102985 - 0.002985. Let v = -2.5 + -0.5. Let l = 0.3 + 0.2. Which is the nearest to w? (a) l (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5715 and 4905.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 223 = 238 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3418 - 5*s + 3418.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 901505 to the power of 1\/2, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 185?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i - 7. Suppose -p + 2*p = 34. Let k = p + -37. What is the remainder when 31 is divided by c(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42, 32, 16, -6?\n\"Answer: -3*p**2 - p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 264*c + 146. Let b(u) = -u + 4. Let g(i) = 5*b(i) + f(i). Differentiate g(r) wrt r.\nAnswer: 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(-1*868\/84).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2600729766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4 + 3*w**2 + 1 - 1 + 3. Is u(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 865*b**2 + 4 + 2*b**3 + 778*b**2 + 20*b**4 + 7*b - 1644*b**2 to k*b**4 + y*b**2 + j*b**3 + q*b + s and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1573) + 0)*5)**2 + 1 - (sqrt(1573) - (sqrt(1573) + 2 + -5)**2 - ((sqrt(1573) - (sqrt(1573) + 1)*5) + sqrt(1573))).\nAnswer: -1760*sqrt(13) + 41128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/((-110)\/(-11)))\/(1*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -144. Solve q = -4*r + f, 4*r = 5*q - r - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/(-432) - 10\/(-120)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/((-77)\/(-11))*13\/13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 + 5*i - 4 + 0 + 4. Determine x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -91*o**2 - 451*o - 323. Give n(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - z = -2 + 9, 0 = -3*z + 3. Let y be 2\/6 + (-10)\/(-6). Suppose -y*p + 24 = 4*a + p, -a - 2*p = -6. Solve -2*k - 6 = 2*c, a*k - 12 = k + x*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2. Let i(z) be the third derivative of 0*z + z**2 + 0*z**3 + 0 + 1\/8*z**4. Give d(i(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(2324\/(-21))\/4. Let q = -577\/14 - v. What is the nearest to -0.1 in q, 3\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 2880.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v**3 + 10*v**2 - 15*v + 22. Let d(t) = t**2 + t + 1. Let j(n) = -4*d(n) + y(n). Is j(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3228 = 4*k - 2*d - 1330, 5*d - 2273 = -2*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/5 + u**4\/12 + u**3\/6 + 2*u**2. What are the prime factors of d(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*s - 53*s = 1320. What is the remainder when 91 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60, -2\/3, 17, 0.3, -4?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9336.59 and -0.073.\nAnswer: -681.57107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14)\/(64\/3752*((-2431)\/136 - -18))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629316933 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t - 7. Let y(l) = -l + 1. Let j(h) = 3*s(h) + 21*y(h). Let f(q) = q**2 + q - 3. Let r be f(3). Let p = -7 + r. What is j(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41c (base 15) in base 5?\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2 - 3*p - 4. Let m be g(-2). What is the units digit of (615\/m - (-1)\/9)*14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 - -0.7. Let n = 0.4 - a. Let b = n + -0.9. What is the nearest to b in -5, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 + 158. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - s - 19 = 0, -y + 3 + 3 = 2*s. Suppose 0 = -4*z + 2*q + q + 621, -815 = -5*z - y*q. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*q - 2*i, 25699 = 5*q + 3*i + 25702 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*o + 6*o - 7*o**2 + 5*o**2 in the form t*o**2 + b + q*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-20)*(-575)\/(-3864). Let s = c + -33\/560. Sort 0.3, 5, 0.1, s in descending order.\nAnswer: 5, 0.3, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52486550 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 26 = -3*w. What is the greatest common factor of 117 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 27*o**2 + 33*o + 670. What is the thousands digit of m(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, 1\/3, 1.69, 35, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 17565642.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-30))\/((-66)\/(-55))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32962496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 515679 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*u + 1 + 0 + 2*u + 0 + (u + 4 - 4)*(2 + 0 - 1) - 2*u + 3*u - 3*u + 0*u + 0*u + u + (10*u + 2*u + 7*u)*(-1 + 2 - 3) - 3*u + 23*u + 1 - 13*u.\nAnswer: -27*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-192) + 1\/(-3)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38062868.\nAnswer: 2, 9515717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:19 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2643, 2636, 2625, 2610?\n\"Answer: -2*q**2 - q + 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-204)\/60 + 4\/10. Suppose -5*u - 2*w + 20 = 0, -5*u = 2*w - w - 20. Suppose -5*p + 3*p + 4 = 0. Put p, u, y in descending order.\nAnswer: u, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + 2*sqrt(171) + sqrt(171)) + ((-1 + sqrt(171))**2*-4 + sqrt(171))*-5.\nAnswer: -180*sqrt(19) + 3465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/2 - 2*c + 3\/2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 a when three letters picked without replacement from {a: 1, d: 1, c: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381986367?\nAnswer: 3, 7, 643, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, h: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -15. Let j(f) = -6*f**2 - 5*f - v*f**2 + 2*f + 8*f**2. Give j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 - 1176 = -86*x - 127 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x - 5*a = -353120, 3*x - 2*a - 353134 = 0. Suppose 132883 + x = 7*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3727, -7514, -11301, -15088, -18875?\n\"Answer: -3787*r + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482602347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 14*v + 12. Calculate the least common multiple of 12 and f(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 63 = 4*m - 2*d, 4*m + 33 = 3*d. Is (-8 - m\/3) + 683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = g - 0*i + 3, -5*g = -5*i + 5. Let y be 1 - (-2 + 2)\/g. Solve -m + 2*z - z + y = 0, -m - 2*z - 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2142695901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 2. Let g(a) = -a. Give d(c) - 6*g(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 1. Let h(m) = -53*m - 4. Give h(s) - 4*z(s).\nAnswer: -61*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(2\/37) + 5. What is the greatest common divisor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 5. Let y(x) = 7*x**2 + 20*x + 18. Let i be y(-1). Let d be (-180)\/(-54)*(-6)\/i. What is the nearest to n in 0.1, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (-2 - 0))*-9. Is (0 - 0 - g) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 3, i: 3}. What is prob of picking 2 i?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + -12 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 298500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(20\/9)*g*(g*g**(-14))\/g assuming g is positive.\nAnswer: g**(-97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 20*a**2 + a + 1. Let v be q(-1). Suppose -h = -0*h + v. Let u = 55 + h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -92*z - 192. Calculate o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225215106 - 106?\nAnswer: -225215215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -289743\/25, 0.05, -0.4 in increasing order.\nAnswer: -289743\/25, -0.4, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*d - 7 - 18, -18 = 3*g - 2*d. Suppose 0*i = 5*i - 20. Sort g, -30, i in decreasing order.\nAnswer: i, g, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4, -x = -6*c + c - 82. 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 l(b) = -2*b - 17. Let i(g) = -1248092*g. Calculate i(l(j)).\nAnswer: 2496184*j + 21217564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2362225, 4724464, 7086703?\n\"Answer: 2362239*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 7*d**2 - 10*d + 5. Let f be p(8). Let n(x) = -2*x - 6. List the prime factors of n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 32 = i. Let u = -3 + i. What is the smallest common multiple of 22 and (-9 + u)*(0 + -2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 17*n**2 - 6*n - 243\/40*n**5 - 73\/3*n**3 + 18 + 9\/16*n**6 + 18*n**4. Factor u(w).\nAnswer: (w - 6)*(w - 1)*(3*w - 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 373*q**5\/20 - 601*q**4\/24 + 385*q**2. What is the second derivative of i(b) wrt b?\nAnswer: 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2286130706 - -21.\nAnswer: -2286130685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rorr when four letters picked without replacement from {r: 7, o: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**4*y + 71523*n*y + n + 866828*y with respect to n.\nAnswer: -4*n**3*y + 71523*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 69255.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14\/168*16*3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m - 6. Let r be d(-1). Suppose -8*v + c + 5 = -4*v, -5*v = -4*c - 20. What is l in 1\/2*l**4 + 0*l + 0 + v*l**2 + l**r = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/27 - -11\/27. Let t(n) be the first derivative of 0*n**2 - 1\/4*n**4 + 0*n + 1 - l*n**3. Find the third derivative of t(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -65557545.1.\nAnswer: -65557544.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*308\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 55, 4, 143, 1 in descending order.\nAnswer: 143, 55, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7, 1\/4, 0.02, 507?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 o when four letters picked without replacement from soooooosooooooso?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1891296 (base 10) to base 16.\nAnswer: -1cdbe0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10919 - -10921.421. Round o to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (21 + -20 + -1) - -25\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (30 - (3 + 54)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/39)\/(c*c**15*c)*(c**2*c*c)**(-27\/7) assuming c is positive.\nAnswer: c**(-8839\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 - 6 = -2*z, 4*z = 8. What is the lowest common multiple of r and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**2 - 29*q**2 + 219*q**3 - 218*q**3 - 10*q**5 wrt q?\nAnswer: -600*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90827 = -11*w - 3472 + 216520. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2366*s + 104 = 2418*s. Let u(o) = -o**2 + 8*o - 14. What is u(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.974 + -0.026. What is the nearest to 4 in -2\/29, w, -4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002398805 rounded to 7 dps?\nAnswer: -0.0002399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbjvv. Give prob of picking 1 v and 1 b.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4154, 37, -21, 3, 5 in decreasing order.\nAnswer: 4154, 37, 5, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 398702 and 129482?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {t: 2, h: 4, y: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/4*96\/20. Suppose -2*c = -4*c + v. Solve 2*p + c = -p - 5*w, -4*p + 5*w = -11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - (-6 + 1)) + (0 - -2). Suppose 5*s - 9 = w. What is the third derivative of -6*m**3 + 27*m**2 + 19*m**2 - 31*m**s wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 13*g = 126. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = x. Suppose 0 + x = 2*t. Suppose -t*u = -4*u + 110. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -477 - -40421?\nAnswer: 37722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -27*n**2 - 1. Let c(t) = -2*t**2 + 2*t. Let r(s) = 3*s**2 - 4*s. Let v(q) = -2*c(q) - r(q). Calculate k(v(g)).\nAnswer: -27*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 828 and 36639.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/224 and -97\/6436.\nAnswer: 360416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-225)\/30)\/(8\/((-384)\/9)). Solve -2*w - 3*v - v = -14, 5*w + t = 5*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 35 + 14337*y - 55 + 18.\nAnswer: 14337*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 53194464*z + 235804250020608 = 0 for z.\nAnswer: 8865744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3.6 (b) 4 (c) -3 (d) 944\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.846 + 4.379. Round f to one decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2494 - -4065. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -679357 by -15799.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4118416, -4118418, -4118422, -4118428?\nAnswer: -4118436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**3*z**0\/z*z\/z**(-3))**10 assuming z is positive.\nAnswer: z**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.517668l in millilitres?\nAnswer: 7517.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236927, 473853, 710779, 947705, 1184631, 1421557?\nAnswer: 1658483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*1)\/(-5)*2. Let k = -33764.6 + 33764. What is the third smallest value in 1\/2, k, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f**2 + 6*f - 2. Let y be g(-6). Suppose -2*k = -5*d + 172, 5*d + 16*k - 20*k - 174 = 0. Calculate the greatest common divisor of y and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72457923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130211204 - 20?\nAnswer: 130211134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247680 - 152*c + 247680 + c**2 to v*c**2 + b*c + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 2*z**2 + 1 + 5*z + 3*z**2 + 2. Let s be r(-4). Solve -2*q - 2*f = -3*f + 5, s*q + f = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6315*c**5 - 280*c**4 + 14942*c + 231.\nAnswer: 126300*c**3 - 3360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 30. Let y be i(11). Let v be (-12)\/(-45)*(-660)\/(-8). Put y, v, -2 in increasing order.\nAnswer: -2, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -4) + 4 - 4. Suppose w = -0*t + t - 6. Solve -p + t = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3*x - 3*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 22*l**3 + 207*l.\nAnswer: -12*l**2 + 132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 4*p**2 - 2*p - 1. Calculate o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*r - 2309, 2*r - r = 3*w + 451. Suppose 2*m + 76 = r. Suppose -10*s - m = -13*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12258 and 7264?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*s - 13, 5*g - 3*s + 12 = 4*g. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 66*z + 1554. What is the lowest common multiple of 286 and p(-20)?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415818 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**4 + 4*p**3 + 4*p**2.\nAnswer: -4*p**2*(p - 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 169*q - 1389. Determine z(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 289 - 279. Let w(k) = 17*k - l*k + 4*k. Let h(b) = -b. Give w(h(z)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (2 - -3) - (-3 + 11 + -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10051720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3336, 3358, 3394, 3444, 3508, 3586, 3678?\nAnswer: 3784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j + 8. Let v(t) = -t**3 + t**2. Let u be v(-1). Suppose 0 = -r - u*r + 39. What is the remainder when f(-1) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/172 - 9\/43. Which is the nearest to g? (a) 2 (b) 49 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.2 - -30.1. Let d = 35 + w. Let r = -51 + d. Which is the nearest to r? (a) -0.2 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2347 - 2347 - 67*w - 2*w + 4*w + 0*w + (-2*w + 2*w + w)*(-2 + 0 + 1) + w + 0 + 0)*(w - 5*w + 2*w).\nAnswer: 130*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2266.321 + 2271. Round n to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/9, -0.15, -5, 4.95, 0?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2535743 and 70.\nAnswer: 25357430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-17 - -15) + -14 + 3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:16 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -277, -326, -375?\n\"Answer: -49*y - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -12624*o + 126240. Let l(j) = 10. Give d(a) - 12624*l(a).\nAnswer: -12624*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.091 minus 10?\nAnswer: -8.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 + -118.42. Is w greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 30 = 28*l - 23*l, -4*j - 20 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 20905826020 to the nearest 1000000.\nAnswer: 20906000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*u**2 - 211 + 211 to a*u + i + t*u**2 and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Suppose 0 = 3*n - 2*n - 2*o + 12, 24 = -5*n + o. Let w be ((-3)\/(-3))\/((-2)\/n). Solve y = -r*a, 0 = 3*y - w*y + a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 7.58.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*s + 14*s - 49*s - 3.\nAnswer: 139*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 146, 221, 296?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*x - 3*x. Solve 0 = -2*u + 1 + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832320 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2 = 6. Let h(c) = -14*c**3 + 31*c**3 - 16*c**3 - 6*c - 3. Let f(n) = -n**3 + 5*n + 2. Let o(t) = -4*f(t) - 3*h(t). Determine o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 5*h - 5030, -2*q = h - 2007. Suppose -2*j = -5*z + 1337, -83*j + 85*j = 8. Suppose -q = -10*l + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -91. Suppose x*b - 26*b = 4618. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddk when three letters picked without replacement from dtdpptptddkdtpdpddt?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 12:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 15 = 0. Suppose -3*l = 2*a - 349, -p*a + 5*l + 628 = 114. Let i = -353\/2 + a. Which is smaller: -5 or i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 216\/20 + 1\/5. Find the common denominator of 2 - (-1 - 19\/(-9)) and (-2 + k\/5)*-57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20*b + 51. Give j(-8).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*x**2 + 12 + 31 - 65*x**2 + 7*x**5 + 2*x**6 - 15 wrt x?\nAnswer: 240*x**3 + 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/23 = 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95918328 by 3586.\nAnswer: 26748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003506263 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136815.2 rounded to the nearest one thousand?\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.13. Let o = n + 0.16. Let v = 4.91 + o. Which is the third smallest value? (a) -0.3 (b) 3\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + (-3 - (5 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.125. Let n = 61.915 - 62. Let z = u - n. Which is greater: 2\/9 or z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 58*u - 19*u - 7*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - 4*a)*(4256 - 807*a - 4256).\nAnswer: 3228*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.511 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159 = 11*s - 1203 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*y + 117*y + 125*y)*(-1 + 1 + 2)*(-3 + 1 + 1)*(1 + 0 + 0).\nAnswer: -44*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*u + 578*u + 82*u + (1 - 1 + u)*(2 - 3 - 1) - 4 - u + 4 + 4*u - 5*u + 0*u + 0*u - 2*u + 4*u)*(-4*u**3 + 3*u**3 + 0*u**3).\nAnswer: -821*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -5*u**8\/224 + 3*u**7\/35 - u**6\/20 + 10*u**2. Factor b(i).\nAnswer: -3*i**3*(i - 2)*(5*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - o + 420, 4*o = -3*y + 5*o + 322. Suppose -9*d = -7*d - p - 8, -12 = -4*d + 3*p. Calculate the smallest common multiple of d and y.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 130837*c\/4 - 228977.\nAnswer: (c - 130844)*(c + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -31. Let w = -35 + 23. Let x = 22 + w. Calculate the lowest common multiple of x and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -62\nAnswer: 61.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 56, 452, 1530, 3632, 7100, 12276?\n\"Answer: 57*f**3 - f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2450 - 2450 - 2591*b**2.\nAnswer: -2591*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314302211 (base 5) in base 4?\nAnswer: 103330132033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/(8\/(-36)). Let n(f) = -f**3 - 4*f**2 - f - 2. Let p be n(o). Does 37 divide (-2)\/p + 1772\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -l + 51, 5*l - a - 291 = 2*a. Differentiate -51 + 105*z + l*z - 33*z with respect to z.\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (7 + 6 - 7) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 521732924 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -80. Let m be 73\/3 + 2\/3. Suppose 33 = v*p - m. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(sqrt(5445) + -3))**2 - ((4 + 2*sqrt(720))*5)**2.\nAnswer: -50520 - 6120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*s + 2 - 18, -2*s = 5*k - 131. Let o = 2551 - 2492. Calculate the remainder when o is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueue. What is prob of sequence uue?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7)*n**(-6\/11)*(n**(-3\/2)*n)\/(n*(n\/(n\/(n**(-4)*n)))\/n))\/((n**(2\/5))**10\/(n\/(n**4\/n)*n**(-1\/9))) assuming n is positive.\nAnswer: n**(-4771\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 26 = -4*l + h, 2 = -2*l - 2*h. Which is the second smallest value? (a) 0.7 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*w**5\/5 + 568744*w**4\/5 - 179692272*w**3\/5 + 7277609952*w**2\/5 - 7779193344*w\/5 + 2107067904\/5 = 0 for w.\nAnswer: 6\/11, 46, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 50138*p**2 + 25061*p**2 + 1 + 25066*p**2.\nAnswer: -11*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + 10 - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 338160 and 480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/8 - 2*a**5\/15 - 17*a**2. What is the third derivative of n(g) wrt g?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/4 - -1035 - (1 + 1). Suppose -w - 822 = -2*u. List the prime factors of u.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6817 and 46422567?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22448037 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l**2 - 3*l. Let h be m(-3). Suppose h = -5*t + 1 + 14. Solve 2*k - 5 = -t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1053)\/819 - (-2 - 1\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4288 - -475. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*h*i**3 - 261*h + i**3 + 3*i - 2 wrt i?\nAnswer: 57*h*i**2 + 3*i**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**7\/252 - c**6\/60 + c**5\/60 + c**4\/12 + c. Let n(l) be the third derivative of f(l). Let n(o) = 0. What is o?\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 25*m + 5. Let z be i(0). Let l = 0 - 3. Sort l, z, 9 in increasing order.\nAnswer: l, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 - 123.8. Let v = -23 + s. Which is the second smallest value? (a) v (b) 1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 37 = -3*q, -4*q = 2*k + q - 71. Calculate the remainder when k is divided by 246\/24 - 1\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*k = 49*k + 54075. Suppose -6*c + 5*c + 1718 = 2*b, c - k = -3*b. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143378 is divided by 65?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f - 21. Let p be a(-4). Suppose -6*t + 4*m - 20 = -p*t, t + 25 = 5*m. What is the smallest value in t, -0.03, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d + 25. Let n(g) = -6 + 3 - 114*g - 113*g + 229*g. Calculate -50*n(f) - 6*z(f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3 - 16268176*j**2 - 54451542 wrt j.\nAnswer: -3*j**2 - 32536352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*k - 7 = -0*k, k = 2*n - 34. Let v = -18 + n. Let t(a) = -7*a**2 - 1 + 8*a**2 + v. Let x(d) = 8*d. What is x(t(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*a = 417*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2\/3 + 652*r\/3 - 8296 = 0.\nAnswer: 61, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u + 20 = 0. Let x = -3 - u. Solve 0*k - k = x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 10. Let u be a(0). Suppose 185 = 5*w + 635. What are the prime factors of (8\/u)\/((-3)\/w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(3*p**2 + p**2 - 3*p**2) + 6*p**2 - 7*p**2 + 28*p**2)*(-4*p - 3*p + 2*p).\nAnswer: -125*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/60 + (-9)\/((-405)\/(-253437)). Which is bigger: -5635 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64122, -256501, -577146, -1026069, -1603282?\n\"Answer: -2*p**3 - 64121*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.04856\nAnswer: 0.19424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/12)\/((-20)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16\/7, -2, -48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5103*b - 5122*b + 152 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2. Let o(d) = 5*d**2 + 8*d - 6. Let v(z) = 4*g(z) - o(z). Let r be v(-9). Suppose -4 = m - 3*m. Sort 4, r, m in ascending order.\nAnswer: r, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 23983332. Suppose 5*l = 33016668 + i. Round l to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3343321 (base 8) to base 3\nAnswer: 1200212111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360*k**3*o**3 - 98*k**3*o**2 - 6*k**3*o - 2*k**2*o**2 + 150*k*o**5 - k*o**2 + 4*k - 2*o**3 wrt o.\nAnswer: 2160*k**3 + 9000*k*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 10 + 23 - 7*r - r**2 + 6. Is p(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/((36\/8)\/9). Suppose -v - 4*v + c = b, -v + 4 = 3*b. Suppose -v*o - 12515 = -12*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - c + 1. Let g be q(1). Let y(d) = d**3 - 4*d**2 - 6*d + 7. Suppose o + 3*o = 20. Let p be y(o). Sort p, g, 3.\nAnswer: g, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {i: 4, h: 2, x: 1, z: 4, b: 3, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from ayxpxayyaxyapayaa.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 245, 366, 485, 602, 717, 830?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 at most 490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, 14, -3 in descending order.\nAnswer: 14, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10877429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, 2\/5, -0.63, 5, -2\/11 in descending order.\nAnswer: 5, 1, 2\/5, -2\/11, -0.63, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 1\/921, -78\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/4 + 19*r**3\/3 + 29*r**2\/2 + 66*r - 144. Is 4 a factor of n(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842279 (base 10) in base 8?\nAnswer: 7016147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 546, 819?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -5)*(0 + 6). Put f, 5, 1 in increasing order.\nAnswer: 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 10546*u + 10541*u - 2 = 0, -5*u = 5*c + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 24 - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -3 - 0 - 6. Let k be (153\/n)\/(15\/(-6)). Let v = -317\/35 + k. What is the common denominator of v and 51\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 11*g - 8*g. Suppose -g*s = -4*w - 248, -2*s + 0*s + 150 = 5*w. Calculate the highest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 4*v**2 + 4*v - 17. Calculate a(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 44. Let i(t) = 2*t**2 - 4*t + 18. Suppose -6 = -0*o - o. Let m be i(o). What is the greatest common factor of m and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47160559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**24))**(9\/14) assuming g is positive.\nAnswer: g**(225\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 + 186. Is v greater than -313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g - 43. Let a be t(8). Let i(k) = -23*k**3 - 13. Let u(d) = -11*d**3 - 6. Calculate a*u(o) - 6*i(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -697576?\nAnswer: 3\/15854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 6 = -5*w, -11 - 7 = 5*w - 3*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1124 - 28*o + 9*o - 1124 - 14*o.\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2*o - g**2 - 6*g*o*z + 11*g*o + 167*g*z + 12*g - 47*o*z + 1 wrt o?\nAnswer: -2*g**2 - 6*g*z + 11*g - 47*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155685 and 985.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -2.06?\nAnswer: -22.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 2*k**5 + 0*k**5 + (k**2 - k**2 + 4*k**4)*(-5*k + 4*k - k) - 3 + 7*k**5 + 3.\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzuyjuzuyyzzzuttu?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 23, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven halves of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/6*365\/(-219) - 8\/(-36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 16569862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-522)*50)\/(10\/12)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p - 41. What is d(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (731*v - 567*v - 919*v)*(3*v**2 - 2*v**2 + 0*v**2) to the form l*v**3 + b + i*v**2 + f*v and give l.\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7366*l**3*r + 5*l*r - 2*l + 13946*r + 2 wrt l?\nAnswer: -22098*l**2*r + 5*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4653*y - 44. Let q(p) = 310*p + 3. Determine -44*q(j) - 3*w(j).\nAnswer: 319*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 65 - 65. Let t(b) = 3*b. What is a(t(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + x - 2*x = 74, 3*x = 2*j - 40. Let w = -8 + j. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13951*j - 27. What is the hundreds digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q + 388. Let a(c) = -3*c - 129. Let z(y) = -7*a(y) - 2*u(y). Let l be z(-25). What is the nearest to l in -0.5, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 0.28. Let u = 2.64 - 2.6. Let p = t - u. What is the third smallest value in 0.4, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 56. Suppose -4*h + 169 - 17 = -4*k, 5*k + 104 = p*h. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799\/3*(18*-1)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 divided by 354?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3\/3 + z - 6. What is the units digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - 38\/6. Let c(a) be the third derivative of -a**4\/8 - 3*a**3\/2 - 16*a**2. Let j be c(s). Solve -3*h + 3 = j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -126*f**2 + 495*f - 489. What is t(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.54989 millennia to months.\nAnswer: 90598.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40375 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1\/4, 4\/59, 1, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/10)\/(34*18\/2448)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -12, 3*m - 35*i - 7562 = -30*i. Suppose 0 = 3*w + 2*n - 5317, -w = 4*n - m + 745. List the prime factors of w.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -201*u - 6084. Give c(-51).\nAnswer: 4167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -37*i - 11. Let x(h) = 9*h + 3. Determine 2*s(a) + 9*x(a).\nAnswer: 7*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(702\/(-334224)) - 21. Calculate the highest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -23*q**2 + 11*q. Let h(s) = -11*s**2 + 5*s. What is -6*d(m) + 13*h(m)?\nAnswer: -5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 7*k - 19. Let p be u(-9). Let r = 26 - p. Suppose -49 - r = -4*x. Calculate the greatest common divisor of 95 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 1 b when three letters picked without replacement from {i: 2, o: 7, b: 4, p: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:27 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 15*c**5 - 42054*c**4 + 29425131*c**3 + 70829052*c**2 + 23620908*c = 0.\nAnswer: -2, -2\/5, 0, 1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532.2726g to milligrams.\nAnswer: 532272.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 21*f + 23. Let l be q(-20). Suppose -2*j + 26 + 24 = 3*c, 5*j - l*c = 146. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o + 2965 = -5*l, -5*l - 5 = 0. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3611 + 3609. Sort 4, -10, q, -1 in decreasing order.\nAnswer: 4, -1, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/3, 2\/11, -252\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 85389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**5\/60 - s**4\/3 + s**3\/6 + 120*s**2. Let y = -13 + 6. Calculate the remainder when 11 is divided by l(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*i = -4, 3*p - 11 = 18*i + 30 - 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919138310 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1008 and 61\/1032.\nAnswer: 43344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 + 3*z**3 - 6*z**3 + 5*z**4 - z**2 + z**3 + 2*z to q*z**3 + o*z**4 + h + w*z + c*z**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 2. Let z be s(-5). Let q be ((-1)\/z)\/(5\/60). Let x be (-2)\/(-6) - q\/(-15). Which is the third smallest value? (a) 0.2 (b) 0.08 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 3938172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 3*q - 9 = 3*q + 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37910533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 5573992*m + 5573991 = 0. What is m?\nAnswer: -5573991, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820*h + 200 = -1810*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39622295*h**3 + h**2 - 11*h - 18006 wrt h?\nAnswer: 237733770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005813 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1276*n + 1148*n - 2460*n in the form v + a*n and give a.\nAnswer: -2588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {b: 4, x: 6, w: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 99. Let c be l(23). Find the common denominator of c\/(-20)*((-59)\/27 - 2) and -1\/262.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2449697675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let n be w(-7). Let x = 7 - n. Let z(l) = l**3 + l + 2. Let d be z(x). Solve m = -0*m - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881703369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*m**3 + 9*m**2 - 16413*m.\nAnswer: -1278*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaoaoaaooaaooaam. Give prob of picking 1 m and 2 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 7. Is m(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2493 + -2488. Sort n, 9, 3, -4 in increasing order.\nAnswer: -4, 3, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -58*y**4 - y**3 + 2*y**2 + 11*y - 1. Let z(q) = q**4 + 0*q**3 + q**3 - 9 + 3 + 7. Let d(j) = x(j) + z(j). Find the third derivative of d(v) wrt v.\nAnswer: -1368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(187)*6)\/sqrt(11) - sqrt(153)\/((-2*sqrt(90))\/sqrt(10)))**2.\nAnswer: 2873\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*z - 98, -2*v = 3*z - 6*v - 103. Let i = z + -1. What is the second derivative of -i*g**3 + 32*g**3 - 2*g**4 - 5*g + 2*g wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 13. Let m be o(-9). Suppose 4*y - 3385 = -5*w - 0*y, 0 = m*w + 3*y - 3380. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10553 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 21 + (0 + -36 - -35) - 83.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**2*n**3 + 8*j**2*n**2 + 14*j**2*n - 10*j**2 - 34*j*n**3 - 26*j wrt j.\nAnswer: -12*n**3 + 16*n**2 + 28*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/3)*c**14*(c**36*c*c)**(3\/16) assuming c is positive.\nAnswer: c**(515\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 6*l**2 + 5*l + 3. Let u be b(-5). Solve 6 = u*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 3 (c) -0.7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 - 15785952*r\/5 + 12628752.\nAnswer: 3*(r - 5261980)*(r - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5203 (base 10) to base 15.\nAnswer: 181d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 12\/56)*4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1 = 3*j, -4*u - 5*j + 13 = 0. Solve m + 0*m - u = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Suppose 75 - 15 = r*x. Let p(h) = -h**2 - 12*h + 57. Let m be p(-15). Calculate the greatest common factor of m and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1, 573, -5, 57, 3, 0 in descending order.\nAnswer: 573, 57, 3, 0, -1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s**2 - 4. Let r(f) = 16*f**2 - 5. What is 5*q(j) - 4*r(j)?\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 0 - (-4 + 1). Suppose -f = 4 - j. Suppose -f*m - m = 0. Do m and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11369, 22747, 34085, 45383, 56641, 67859?\nAnswer: 79037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h + 16. What is the remainder when (-185)\/(-4) - 3\/12 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/9)\/(m\/m**(-10)*m))\/(m**11\/(m*m**(-6))) assuming m is positive.\nAnswer: m**(-248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p + 6. Let s(f) = f**3 - 11*f**2 - 10*f - 23. Let h be s(12). Let a(l) = l - 1. Determine h*g(w) + 5*a(w).\nAnswer: -6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3681*a + 36700 - 36700)*(2 + 1 - 4).\nAnswer: -3681*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 - -0.55. What is the biggest value in -2, -0.2, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.005, 1, 65.5 in descending order.\nAnswer: 65.5, 1, 0.005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/17 + -164*(2 - 3). Suppose -40*v + 41*v - 260 = -3*c, -2*c + 4*v + p = 0. Calculate the remainder when c is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1084)\/(-712) - 35*87\/2030?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -9, 13, 45, 87, 139?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n**(2\/11))\/((n**(-4)\/n)\/(n\/n**(2\/43))))**(4\/13) assuming n is positive.\nAnswer: n**(34652\/18447)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from kaa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 90024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(320) + -1 + -3 + sqrt(320))*5 + (sqrt(320) + sqrt(320) + sqrt(320)*1 + 2)*2)**2 + -3).\nAnswer: -16384*sqrt(5) + 328692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -26) + 267\/(-27)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 2. Let b be c(4). Let t be ((-12)\/(-2))\/(b\/(-40)). Find the common denominator of -23\/16 and (-92)\/21*9\/t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31703.\nAnswer: 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w**(1\/3))\/w))**(-21)\/(w\/(w\/(w**(-2\/7)*w))*w\/w**(2\/15)) assuming w is positive.\nAnswer: w**(-3841\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*z + 65147687 - 9*z - 6*z**3 - 65147693.\nAnswer: -6*z**3 + 41*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or -177\/632?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -0.3909?\nAnswer: -7.6091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d - 92*d + 399*d - 41*d - 98*d - 82*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -839 - -843. What is the second biggest value in h, -2, -0.8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-11.4.\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 313\nAnswer: -3\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 - -235. Which is the closest to q? (a) 0.4 (b) 5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -5, 3, -13.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2933921*b**3 - 4*b**2 - 6*b - 17419?\nAnswer: -17603526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.9826 - -0.0174. Let w = 0.02 - -2.98. What is the closest to -1 in -2, l, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*q**3 - 451*q**2\/2 - 6*q = 0. Calculate q.\nAnswer: -4, -3\/112, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 561.92 from -595890.\nAnswer: -596451.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 4*u + u + (-u + 0*u + 2*u)*(3 - 2 - 2) + (2*u + 3*u - 6*u)*(3 + 1 - 2) - u + u - 2*u - 60 + 43*u + 60 in the form a + o*u and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*q**2 + 7*q**4 - q**4 - 143*q + 68*q**3 - 2*q**4 + 143*q.\nAnswer: 4*q**2*(q + 2)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7810*h + 7. Let u = 449 + -450. Is r(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-455)*(-234)\/(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 5, -20, -1 in descending order.\nAnswer: 5, 2, -1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -33, -69, -119, -183, -261, -353?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b + 5*u + 92 = 0, 5*u = -b + 23. Let q = 28 - b. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/7 - 289930*c**3\/7 + 14209964*c**2\/7 - 204174872*c\/7 + 701867760\/7 = 0. What is c?\nAnswer: -145014, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b (base 12) to base 15.\nAnswer: -7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let b(v) = -168*v**2 - 1. Determine b(y) + 5*w(y).\nAnswer: -173*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:21 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 198*x**2 + 409*x + 3314. Determine u(-196).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1230?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/6568 and 77\/8.\nAnswer: 6568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 + 289. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2.4, 19\/3, -2\/3 in ascending order.\nAnswer: -2.4, -2\/3, 2, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m - 12. Let v be l(-5). Let z = v + -24. Calculate the least common multiple of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + (0 + sqrt(171) - sqrt(171)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmvsmmf. Give prob of picking 1 s and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 760743577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631167?\nAnswer: 3, 61, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-3 - -4) - 9) + 25 + -5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 5, -4, -13857 in descending order.\nAnswer: 5, -4, -43, -13857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -86, -165, -284, -455, -690?\n\"Answer: -2*y**3 - 2*y**2 - 31*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -913, -2\/9, -0.5, 3\/35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(2\/(-22))*3. Differentiate 8*m + 5*m**3 - 23 + f - 22 - 5 with respect to m.\nAnswer: 15*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-4))\/((5 + -8)\/12). Solve 0 = 6*h - h + 20, -3*s + i = h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -8, -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 0 - (2 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 13 = -5*w. Let j be w*((-9)\/5)\/3. Suppose j = -b - 1, -5*k - 2*b = 8. Solve k = -3*m - 3, -2*m + 9 = 5*u - m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 88*u + 2. Let i(l) = -34*l. Give x(i(m)).\nAnswer: -2992*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 19*w**2 - 2158*w + 60397. What is c(50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*t - 148*t**2 - 2 + 6 + 3.\nAnswer: -148*t**2 + 4*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*u)*(4*u + 2*u - 3*u)*(2*u - 5*u + 0 + 5) in the form s*u**2 + b*u + a + z*u**3 and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 - (-320)\/56. Suppose o - v*o = -3*p + 76, -4*p = -5*o - 78. Let l = -7 - o. Solve -k - l = 4*i, -2*k = -3*i - 3*k - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*y**2 + 18*y**2 - 16*y**2.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z + 42. What is u(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 117 = 4*l, -4014 + 4032 = -z + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 27*j**5\/20 - j**4\/2 - 2996*j**3\/3 + 105*j**2 - 1. Find the first derivative of f(a) wrt a.\nAnswer: 162*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Let h(z) = 6*z + 4. Let m(y) = 5*g(y) - h(y). Calculate m(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z = -k + 39*z - 13, 0 = -k - 2*z - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 1.6. Let i be (-2)\/12*12\/3. Sort q, i, 0.3 in increasing order.\nAnswer: i, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204479 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*g + 231*g = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-9) - 380\/(-6). Let g = z - 45. Let d = 22 + 44. What is the remainder when d is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(1 - (-327)\/(-306)). Let x = -14009\/504 + h. Calculate the common denominator of x and 91\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -14.\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2))\/(b**7\/b)*b**(-5\/6)*(b*b**8)\/b)**(10\/3) assuming b is positive.\nAnswer: b**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 9) in base 10?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 + 10*o**3\/3 - 8*o**2 - 48*o - 90. Let b be h(-11). Solve 4 = 3*m - b*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14820 divided by -10015.\nAnswer: -2964\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -8, 176, -3, 3 in decreasing order.\nAnswer: 176, 7, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49720 and 18.\nAnswer: 447480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/399 and 68\/421971.\nAnswer: 2953797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 6*y - 49. Suppose -2*k - 3*p = 90, y*k - 3*k - 116 = -5*p. Let m be 26\/(-24) - (-7)\/k. Sort -2\/33, 2\/5, m in increasing order.\nAnswer: m, -2\/33, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 9. Suppose 0 = -5*b - 20*o + 16*o + 48, b = -o + 10. Let f(t) = 9*t + 14. Let j be (-285)\/(-55) + 2\/(-11). Determine b*w(k) + j*f(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/35 + (-216)\/(-40) + -1. Let d(r) be the first derivative of -3\/2*r**4 + 0*r**w + 0*r**2 - 3*r + 8. Find the first derivative of d(b) wrt b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -99 and 15096 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/4963 - 332761\/148890. What is the common denominator of -14\/145 and x?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6098518?\nAnswer: 2, 43, 70913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 315, 458, 581, 678?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63.7 - -53. Let k = a + 11. Let r = -109.6 + 114.6. Is k >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - (19 - ((5 - (-5 + 11)) + 5)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459367, 918733, 1378099?\nAnswer: 1837465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbibbbbiii. Give prob of sequence ibb.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 30\/(-12) - (-9)\/((-216)\/(-804)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176.6 - 175.6. Sort -3.2, 12, y in decreasing order.\nAnswer: 12, y, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7869997 is divided by 359?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1964 - 352 - 730 - 2*z - 9604 + 2438.\nAnswer: -2*z - 6284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Suppose 55 = 19*m - 8*m. Let t(f) be the third derivative of -2*f**2 + 0*f**3 + 0 + 0*f + 0*f**4 + 1\/6*f**m. Determine n(t(w)).\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 148537816?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 882?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14642011 is divided by 3264.\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 561*g**2 + 923*g + 388. What is w(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n. Let q(p) = 16*p + 11. Let v(g) = 0*g - 2*g + 4*g + g + 2. Suppose 3*d - 7 = -1. Let x(r) = d*q(r) - 11*v(r). Determine -h(b) - 6*x(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -13*k**2\/2 - 2. Let i(n) = n. Calculate i(w(s)).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*(-4)\/24)\/(-3 + 4). What is the third biggest value in g, -0.2, -5\/18, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -33*f + 557. Determine n(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9803 + -9668. What is the highest common divisor of z and 5310?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Let z(n) = 6 + n**2 - 8 + y - 5*n + 4. Suppose -4*o + 18 = 2. Give z(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 - -0.2. Put -0.3, n, 0.11 in descending order.\nAnswer: n, 0.11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1275d (base 16) to base 2\nAnswer: -10010011101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67064 - -3?\nAnswer: -67061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjjjjjjjqjqjjjqjjj. What is prob of sequence jjj?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1998649*n**2 - 16586573*n.\nAnswer: -3997298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 6:49 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 1029*g**3\/5 + 4507019*g**2\/5 + 4500999*g - 4375 = 0. Calculate g.\nAnswer: -4375, -5, 1\/1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 + 4*b**2 + 18*b + 38. What is the units digit of j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n. Let y(w) be the first derivative of 11\/2*w**2 + 0*w - 128. Determine y(g(s)).\nAnswer: -88*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5\/9 - 92*a**4\/9 - 1324*a**3 + 386012*a**2\/9 - 735928*a\/9 + 120640\/3 = 0. What is a?\nAnswer: -58, 1, 39, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70678401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -490 - -436. Let u be 0 + 70\/3*f\/(-45). Calculate the highest common divisor of u and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*s - 23 = -262, 3*i - 3*s = 141. Let m = i - 22. Let t = 51 - m. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 7*m**2 - 6*m + 5. Let y be v(-6). Let g = 0.102 - 0.202. What is the biggest value in y, 1, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -7, 12, 2 in ascending order.\nAnswer: -7, -2, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1442 - m**3 - 782*m**2 + 779*m**2 + 2*m + 1457 to z*m**3 + l + a*m + o*m**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 636855, -4\/9 in descending order.\nAnswer: 636855, -4\/9, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 1771225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 25*u + 3. Let d(v) = 9*v**2 + 51*v + 5. What is -5*c(x) + 2*d(x)?\nAnswer: -2*x**2 - 23*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5908152 divided by 3\nAnswer: 1969384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13035 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus -1712717.2?\nAnswer: -1712734.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5149 + 8317. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6)\/(-1) - (-4433)\/(-858)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -71, -79, -69, -35, 29, 129, 271?\n\"Answer: z**3 - 27*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1255983419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2*w + 23*r**2 + 2764*r*w - 2*r + 357497*w wrt r?\nAnswer: -4*r*w + 46*r + 2764*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((135\/(-20))\/3)\/((-18)\/24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249984 and 33152.\nAnswer: 9249408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(531\/(-354)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 3. Let m be c(2). Suppose -m*k + 51 = 3*a - 6*a, -k = -3*a - 15. Calculate the remainder when 51 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-242\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5291187 and 8658306?\nAnswer: 95241366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.22 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/208 and 29\/5415098.\nAnswer: 43320784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 - 9*h**2 + 9*h + 4. Let b = -21 - -16. Let z(w) = w**3 - 4*w**2 + 4*w + 2. Let c(g) = b*z(g) + 2*s(g). Determine c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 279 in 4, 1\/7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/162 and -1 + -1 + 261\/(-180) + 1.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m*m**(2\/3)))\/m))**(-6\/11)\/(m**18*m**(-1\/15)) assuming m is positive.\nAnswer: m**(-3199\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1404 - -1432. What is the highest common divisor of 16 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (75\/(-12) - -7)\/(1\/44). Calculate the greatest common factor of 33 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/46 (b) 0.3 (c) -3 (d) -2.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.63 + -0.37. Let k = q - -15.9. Is k != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28\/3 - 9. Let f(p) be the first derivative of r*p**3 - 1 + 0*p**4 + 0*p**2 - 1\/5*p**5 + 0*p. What is the third derivative of f(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4776411550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3354*i**4 - 4968*i wrt i?\nAnswer: 40248*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.024.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 - 1 = 0. Does 27 divide (-270)\/25*(-5)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**3 + 27*y**2 + 50*y - 169. Calculate z(5).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-6) + 3)*(-21 + 0). Is u at most -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113122 + 244?\nAnswer: 113421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = z. Let j be -1 + z\/6 + 2417\/6. Let a = j + -266. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.59, 2\/11, -0.024, -3?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 28*p + 49. Give y(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 422 + -418. Suppose -4*p - 3*w = -3311, b*w = p + 4*p - 4131. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.39076 from 30503533.\nAnswer: 30503533.39076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**3\/3 + 5368*m**2\/3 + 58604*m\/3 + 53240\/3 = 0.\nAnswer: -1331, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11598 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 888*s - 499 wrt s?\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807 + 429 = -98*h + 504 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 16*y**3 + 17*y**3 + 16*y**3 - 75*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j. Let g be (110\/(-165))\/(1\/(-9)). Suppose 4*t + 3*u - 37 - 9 = 0, -5*u = -3*t + 49. Let v(o) = -6*o - g*o + 23*o - t*o. Give l(v(q)).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 179919*j + 11322990.\nAnswer: 3*(j - 59910)*(j - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 30 = -4*u. Let n(l) = -2*l + 2*l**3 - l**3 + 0*l**2 - l**2 + 3*l. Calculate n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 424 = 4*y + 4*i, 0 = -2*y - i + 418. What is the greatest common divisor of 64 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-15) + 7\/(105\/66140). Let b = d - -547. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/37889 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45772757.\nAnswer: 83, 223, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 + 1) - (0 + 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3397 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 250 = -4*g - 4*i, -128 = -2*g - 4*i. Let p = g - 49. Suppose -p*b + 218 = -9*b. What are the prime factors of b?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/(-30) - -7) + 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53922969 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -0.085, 1\/3110?\nAnswer: 1\/3110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7. Solve j = -2*t + 1 + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5616815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -b6 (base 15) in base 11?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007698563 to five dps.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(4\/(-4))*(-1*20\/10)\/(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3 - 3)*(5*w**3 + 2*w**4 - 5*w**3) + 2*w**5 - 3*w - 7*w**5 + 5*w.\nAnswer: -7*w**5 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411822?\nAnswer: 2, 3, 137, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3010*z. Let o(u) = 3*u**2. Determine o(a(b)).\nAnswer: 27180300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -34) + -7 + (5 - (2 + 3) - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1281.6135389 - 0.2401611. Let q = -1338.849 - p. Let u = q + 57. What is u rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 - -4.13. What is the third biggest value in 2, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 + 17 - -21) + -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.35 * 0.797\nAnswer: 1.07595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(28\/(-10) - -3). Solve -q + 2 = -4*z - 21, 5*q = 2*z + k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + -4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1585150 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1695, -2, 19, -5 in descending order.\nAnswer: 1695, 19, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*d - 1234 - 2366. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa698 (base 11) to base 8\nAnswer: -471451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 3*t - t + 5.\nAnswer: -3*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36790 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than -25763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 3. Let n(o) = 15*o + 57. What is 4*d(h) + n(h)?\nAnswer: 7*h + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11211777 divided by 3737259?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m - 2*m)*(m + 0*m + 2*m) + 2*m**2 + 3 - 3.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let c = 144 - 138. Calculate y(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(700) + 0)*5 + sqrt(700) + -1*sqrt(700) + 3)*-4)*-4)**2.\nAnswer: 57600*sqrt(7) + 4481296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 463.6 * -97.\nAnswer: -44969.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20903, -83660, -188255, -334688, -522959?\n\"Answer: -20919*j**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*i + 36 = 73*i. Let m = 68 - i. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -58*y + 123. Determine j(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/13010 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u + 2*u)*(-1 - 4 + 3) + 6*u - 8 + 8 + (-1 + 6 - 6)*(0*u - 5*u + 2*u) + 3*u + 0 + 0 + (-2*u - 2*u + 3*u)*(-1 + 0 - 1).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149443717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 6634*b + 496*b.\nAnswer: 7130*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0135*0.5\nAnswer: -0.00675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368504826.\nAnswer: 2, 3, 61417471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 1.3\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1994951 rounded to four dps?\nAnswer: 0.1995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17351917 - -42638858. Let y = 19017534 - 11904475. Suppose -4*u = -d - y. Round u to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146097465?\nAnswer: 3, 5, 79, 123289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -17*v - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 + -1 + 8 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3993) + 5*sqrt(3993) - sqrt(3993))*-2)\/(sqrt(275) - sqrt(275)*-1*-6).\nAnswer: 22*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 941164.3l?\nAnswer: 941164300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239ecc (base 15) to base 10.\nAnswer: 1704342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 u when three letters picked without replacement from fumfunmnunmnmmzn?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*16\/(-6). Let f be 1 + (0\/((-4)\/(-1)))\/(-1). Is (2 - f)\/(y\/152) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 184?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1696240 divided by -13.\nAnswer: 130480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 674538504 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -29868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.303 + 1.303. Let h = -9.9 - -10. What is the closest to h in 3, -5\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 184, 397, 684, 1039, 1456?\nAnswer: 1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(20\/8))\/((-36540)\/(-3654))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + 2 + sqrt(208))**2 - ((3*-2*sqrt(208) - sqrt(208)) + sqrt(208))**2)*-4.\nAnswer: 64*sqrt(13) + 29108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 29*i**2 + 2*i + 1. Does 7 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232.4 + 232. Which is the third smallest value? (a) -9\/10 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(3\/5)*u*u\/(u*((u**(4\/3)\/u)\/u)\/u*u))**(-4\/7) assuming u is positive.\nAnswer: u**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6, -5*a = -2*a + f - 16. Calculate the remainder when 18 + -1 + 0 + 0 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**3 + 1\/165*z**5 + 0 - 1\/660*z**6 - 1\/132*z**4 + 0*z + 6*z**2. Find o, given that i(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-4))\/y*y)\/(y**(-3\/7)*y)*(y*y*y**0*y)\/y**8)**(-6\/19) assuming y is positive.\nAnswer: y**(24\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*n**3*o + 61*n**2*o + o - 9 with respect to n.\nAnswer: -21*n**2*o + 122*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836, 1724, 2666, 3662?\nAnswer: 4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 345454655?\nAnswer: 345455002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/3 + 27*s**2\/2 - 8*s. Let k be a(-11). Suppose -10*m + k*m + 330 = 0. Calculate the highest common divisor of m and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2\/15, -87.63?\nAnswer: -87.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*j = -2*o - 260*j + 127, o - 3*j - 65 = 0 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-9))\/(1\/3). Suppose 3*t + 3*p + 3 = 0, -2*t - f = -5*p - 23. Let z(q) = -2 - q - t + 6. Let i(k) = 3*k - 5. Calculate 2*i(n) + 5*z(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.288 - 0.088. Let x = b + -13. Let c = -0.2 + x. What is the smallest value in 0.4, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 3 + -5 + (84\/(-4))\/(-3). Let o(k) = -7*k + 2. Let z be o(-4). Calculate the highest common divisor of z and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 105 - 346 = 2*d, -6 = 2*d. Suppose -5*u + n = -6. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**4\/12 + q. Let s be (798\/84)\/((-207)\/(-204) + -1). Let f(m) = -646 - 38*m**2 + s. Calculate u(f(y)).\nAnswer: 1444*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times -0.09119\nAnswer: -0.127666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000111283 to seven decimal places.\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 11264?\nAnswer: -1125a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 43 = 3*k - 9, -97*k - 8*g + 22 = -96*k - 10*g + 4 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 83*v - 1. Let x(w) = 67*w - 3. Let l(f) = -5*x(f) + 4*y(f). What is l(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 + 0 - (-3 - -7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -38*z - 221. Let l(b) = 128*b + 772. Let w(o) = -5*l(o) - 17*t(o). Calculate w(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*x - 16, -y - 1 = 2*x - 4*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -925 - -926. Suppose 9*v = 4*v. Which is the biggest value? (a) v (b) 1\/4 (c) k (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, -2, -17.\nAnswer: -17, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (999\/(-18))\/(1\/2). Let f = -181 - c. What is the tens digit of 3 + 1*f\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Let z(c) be the second derivative of 5*c**4\/12 + 2*c**3\/3 + 3*c**2\/2 + 3*c. Let d(s) = s**2 + s + 1. Determine v*z(o) - 3*d(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = -4*m. Suppose -4*f = -2*i, 2 + m = -3*i + 4*f. Let g be (2 - i\/(-2)) + 11 + -17. What is the second smallest value in -0.1, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*q + j - 19, 5*q - 2*j = 0. Let c be -1 + (5 - q) + -7. List the prime factors of (-2)\/c + (-594)\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 1271.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 4:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -4285144.\nAnswer: -4285142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 0 + -1)\/(-1). Suppose h + 20 = z*h. Suppose -w - 3*r + 0 + 16 = 0, -h*w = -5*r - 120. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 185, 611, 1311, 2285, 3533, 5055, 6851?\n\"Answer: 137*d**2 + 15*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442605 divided by 5?\nAnswer: -288521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) 3 (d) -3 (e) -0.212 (f) -0.176\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-6)\/(1 + 2). Suppose 4*i + 16 - 3 = g, -5 = 2*i - g. Put 0, z, i, 5 in decreasing order.\nAnswer: 5, 0, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(156\/234)*(-15)\/(-129)\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 489 + 168. Suppose -6*y + 249 = -p. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g = 8*g + 510. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - 1*sqrt(22)*6) + sqrt(176)\/sqrt(1152))\/((sqrt(20)\/sqrt(10) - sqrt(2))*-6 - (sqrt(242) + 6*sqrt(242) + sqrt(2))).\nAnswer: 59*sqrt(11)\/936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -657 - -687. Suppose 818*j - 824*j = t. Let f be (-8)\/(-12)*(-2)\/4. What is the second smallest value in f, -5\/6, j?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-3*8\/144?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*v + 20 = 19, 0 = h - v + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 214807 + m**3 - 214799 - 10*m - 10*m**2 + 7*m. What is g(10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89684.\nAnswer: 2, 7, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 0*m + 1\/8*m**4 + 0*m**3 - m**2 + 0. Let k(b) be the second derivative of b**4\/6 + 3*b. Give k(a(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9587248 and 122?\nAnswer: 9587248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*n**5\/6 + 251*n**4\/3 + 1511*n**3\/2 + 4246*n**2\/3 + 2714*n\/3 + 160 = 0. Calculate n.\nAnswer: -6, -1, -2\/7, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*((6*(sqrt(288) + 1 + sqrt(288)) - -5*-2*sqrt(288))**2 + 2).\nAnswer: 1152*sqrt(2) + 4756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 2*d - 6, -5*h + 5*d - 20 = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Suppose -w - 6 - f = -l, 4 = -l - 2*w. Suppose y - 4 = 5*x - 19, 0 = -2*y - x + 25. Calculate the greatest common divisor of y and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 5*g + 3. Suppose 4*t + 4*j = -80, 4*t - 3*t = 4*j - 30. Let q = -25 - t. Give a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1089)\/6*12\/18. Let n = -108 - o. Suppose 188 = 5*t + 2*u, -2*t - 3*u - 1 = -74. Calculate the remainder when t is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k - 28. Let u(q) = -10*q + 38. Let o(b) = 1. Let y(a) = -6*o(a) - 2*u(a). Let f(c) = 6*y(c) - 17*z(c). Determine f(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327094744 to the nearest integer?\nAnswer: 18086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 165303071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from yrxxxrxry.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*l**4 + 9*l**4 - 50*l**4)*(0 - 191*l - 90*l + 0).\nAnswer: 24728*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from iijitiaiiiijii.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 15, -2*q - 6*d + 2*d + 5222 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -7 - (-55 + 46)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x - 8 = 34*x - 67*x - 3*m, -3*m = -12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtg when three letters picked without replacement from gggtttt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0067374 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509078, 1018333, 1527592, 2036855?\nAnswer: 2546122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 466, 663, 862, 1069?\nAnswer: 1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -17. Suppose -39*j + 37*j - 8 = 0. What is the smallest value in m, -1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + u**3 - 3*u**3)*(2 - 3 + 2) - 5*u**3 + u**3 + 3*u**3 - u**3 - 3*u**3 + 5*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2614068290 to the nearest 1000000.\nAnswer: -2614000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 2*m, -3*a - 180 = -3*m. Let x = 26 + a. What is the units digit of 12\/9*x\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*n**2 - n**2 - n**2)*(1 + 1 - 1) - 54*n**2 - 75*n**2 - 17*n**2)*(4 - 2 + 1) in the form a + p*n + o*n**2 and give o.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14299736 to the power of 1\/2, to the nearest integer?\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -501 + 299. Let y = 2215\/11 + p. Suppose -3*m - 2*m - 5 = 0. Is m >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64655 - 45775. Suppose -f + d = 3*f. What is f rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q - 3*q + 38 - 6*q + 20*q - 3*q in the form d + v*q and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42834012 divided by -39442.\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 388. Determine z(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33183a (base 11) in base 16?\nAnswer: 8140a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k - 4. Let f(v) be the third derivative of -v**4\/6 - 5*v**3\/6 + 25*v**2. Let j(t) = -5*a(t) + 4*f(t). Let y(i) = -35*i**2. Calculate y(j(b)).\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100\/19 + 257\/38. Which is the fourth smallest value? (a) -1\/8 (b) i (c) 0.2 (d) -10 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 6 - (5 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -31. Let t(d) = 7*d - 4. Is 6 a factor of t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 + 3 - 5*f**4 + 16*f**4 + 2*f**4 wrt f?\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3328)*2 + sqrt(3328))\/(2*(sqrt(4) - sqrt(4)*2)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1569\/130 + -93\/10. Let l = -298\/117 + f. What is the nearest to l in 1, 3\/2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/193809957 and 23\/323286?\nAnswer: 387619914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 + 6*y - 7. Let j(x) = x**3 + 10*x**2 + 9*x + 3. Let f be j(-9). Let w be g(f). Let a = -95 - w. Solve a*l - 3 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3)*z)**(2\/11)\/(z\/(z*(z**(2\/5)\/z)\/z*z))**(3\/31) assuming z is positive.\nAnswer: z**(1873\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -24. Suppose -19 = a*n - 64. Suppose -q - 168 = -n*q. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 74 = 3*r, 8*h - 54 = -3*r + 5*h. Suppose -2*f = -11 - 5. Let v be 1\/(-4) - (-26)\/f. Solve -7 = -v*y + u - r, u + 19 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.4 or 65?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104077, 416102, 936071, 1663978, 2599817, 3743582?\nAnswer: 5095267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2\/3 - 10300*w\/3 - 289035.\nAnswer: 5*(w - 2141)*(w + 81)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 314 and 32865124.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/4 + -9\/4. Which is the third biggest value? (a) 1\/6 (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*5)\/sqrt(12).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*m + 20, 5*v - 20 = -4*m - 0*m. Let p = v + -5. Let j = -2 - p. What is the third smallest value in 0.5, -2, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309245187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 294 - 130. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -314.4124577 and -1.499?\nAnswer: 312.9134577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 6:24 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1433*x - 4 + 57*x + 1017*x + 330*x)*(5 - 1 - 3) in the form j + m*x and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/95, 0.02, 2?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-46 + 47)*(1 + 1*92) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193379?\nAnswer: 193379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 10*j - 4. Let u(y) = y**3 + 27*y**2 - 60*y - 63. Let x be u(-29). Let p be c(x). Suppose 2*f - 8 = -4. Put f, -8, p in decreasing order.\nAnswer: f, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-90163086.\nAnswer: 9016308.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*t = k - 0*k + 18, -29*k + 19*t = -30*k + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 74 = -4*x, -4*x - 159 + 53 = 5*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -11057\/4, -2, 1\/6, 0, 2\/17, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*u - 4*n + 4, -5*u = -5*n + 5. Let y(o) = 2*o**2 - 2*o + u*o. Let m(a) be the second derivative of -35*a**3\/6 - 33042*a. What is m(y(s))?\nAnswer: -70*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.037, -7\/3, -0.2, -3846\/23?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*i + 2*i - 835, 4*i = -5*r + 834. Let k = 285 - r. What is the smallest common multiple of 4 and k?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104*(55\/(-110) - 0)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 10250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222 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 c = -1120 + 1127. Solve -c*m + 12*m = -3*h + 29, -4*h + 5*m = 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (17 + 1 + (15 - 23))) + -9?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 402581786.3 and -5553?\nAnswer: 402587339.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3726 - -2044.2. What is z rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + 86. Let u(b) = 2*b**2 + 11*b + 7. Let j be u(-5). Suppose 5*o = j*o + w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c**5 + 4*c**3 - 240*c - 4. Let t(f) = 14*f**5 + 3*f**3 - 239*f - 3. Let z(y) = 3*d(y) - 4*t(y). Find the second derivative of z(b) wrt b.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-141)\/((-35)\/5 + 6) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7661159?\nAnswer: 11, 353, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234553 is divided by 367?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 8:13 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3693 + 3689. Which is the nearest to -16? (a) -2\/7 (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 891?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1377) + 3 + 2)*6.\nAnswer: -108*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41124 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 27 = v - 15*c, 2*c - 8 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a + 361 - 21 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*c + 3 = 5*c, -3 = 5*m - 3*c. Let v = -4395571\/39 + 112707. Is m greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 481.352 micrometers?\nAnswer: 0.000000481352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 68\/(-12))*-3. Let q = m + -12. Suppose 0*y + 0 + 1\/2*y**3 + 1\/2*y**q = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 8\/(-1))*(1 + 0). Let r(v) be the first derivative of -v - 1\/3*v**d - 3\/2*v**2 - 5. Calculate r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/5903 + -5070712\/41321. Let y = n + 123. Factor y*d**4 - 2\/7*d**2 + 4\/7*d**3 + 0 - 4\/7*d.\nAnswer: 2*d*(d - 1)*(d + 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (34047\/156)\/((-3)\/(-16)) and 2328.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + -9.93. Let f = -66 - -78. Let w = h + f. Sort -1, w, 3 in decreasing order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 119613 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, 11\/3, -1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1044 - 1024) + (1 - -7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 + 1 + 28*d**2 - 24*d**2 - d**3 - 23*d**2 + 0*d**3 as b*d**2 + r*d + o*d**3 + t + c*d**4 and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10920 = -1695*c + 750 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - q. Let d be v(-1). Let j = 3 - 3.1. Let i = -4763516 - -4763515.7. What is the nearest to j in i, d, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 3 - 3065*g - 16*g**2 + 6.\nAnswer: -16*g**2 - 3065*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*f - 102*f = -2952 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Suppose -n*a - 2 = -2*a. Sort -6, 4, a in decreasing order.\nAnswer: 4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.88 - 8.1. Let y = -3.4 - m. Let l = y - -0.68. What is the third biggest value in l, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50\/11 - 1239\/275. What is the closest to 2\/5 in k, -1\/5, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/20 + k**4\/3 - 2*k**3\/3 + k**2 - k. Let t be (32\/24)\/(1\/6). Let s = t + -13. What is w(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 80*d**2 - 70*d + 138. Calculate the remainder when s(79) is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -3 (c) 824\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 n when four letters picked without replacement from {n: 6, a: 4, d: 1, v: 2}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 18 = 9*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2405 - 2403. Which is the fourth biggest value? (a) -2 (b) -4 (c) j (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27209209 is divided by 97524.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(2\/19)*n)*n)\/(n*n*n\/((n\/(n*n**(-2\/13)))\/n)))\/(n**(-1))**(-37) assuming n is positive.\nAnswer: n**(-9868\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13053.4157 - -13054. Round t to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 6*g + 1928 + 2*g - 1928. Let u(t) = t**2 - 8*t**2 + 2*t**2. Give m(u(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 15 - 0. Let c = f - -5. Let p = -3 + c. Sort -0.1, p, 2\/13.\nAnswer: -0.1, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 7*a + 3 = 0. Suppose 5*x = 4*k + 7, 5*k + x - 14 = -a. Solve -k*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*k - 8, -4*k = 5*l - 3 + 1. What is the units digit of (27\/6)\/(1\/l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -0.03777, 336, 0.5?\nAnswer: -0.03777","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029270 a multiple of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = k, 0 = -4*q - 4*k - 49 + 45. Let d be (-8)\/(-6)*3\/2. Solve 3*m - 9 = -4*o - 25, d*m - 20 = q*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*k + 73 + 23*k + 27*k + 21*k - 136*k in the form x + c*k and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 + 244*b**2 + 8256*b + 85248 = 0. Calculate b.\nAnswer: -74, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h = -153 + 40 - 446 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5154 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*n - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4186 - 4150. Calculate the remainder when 1582 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35488.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -7\/4*n**4 - 3 - 5*n**3 + 0*n + 0*n**2. What is the third derivative of b(r) wrt r?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 22*w**2 - 78*w - 8. Let l be b(3). Let s(a) = -a**2 - 13*a + 14. Let v be s(-14). Sort l, v, -2 in decreasing order.\nAnswer: v, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 5*p**2 + 29 + 23 + 4*p - 3*p**3 - 50 + 0*p**4 in the form c*p**4 + t*p**2 + u*p + h + x*p**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -14*w + 14, 0 = 2*w - 2*j - 90900 + 90950 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 423298, 3386256, 11428572, 27089926, 52909998, 91428468, 145185016, 216719322?\n\"Answer: 423280*m**3 - m**2 + m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/24 - 109\/6. Let d = 2302 - 2290. What is the lowest common multiple of d and (-40)\/x + (-18)\/81?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4900\/147)\/50)\/(4\/39)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 * 231969\nAnswer: 78869.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**5\/a)\/a)**38*(a\/a**(-11))\/((a*a**(-1\/4))\/a))**34 assuming a is positive.\nAnswer: a**(8585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -11*q - 13. Solve q = 7*l - 2*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/(-6)) - 15. What is the units digit of (v\/(-10))\/(6\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27287248 to the nearest integer?\nAnswer: 5224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212101 (base 3) in base 13?\nAnswer: -808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 10*m. Let o be n(10). Suppose -4*p - 4*x - 8 = o, -14 = -p + 3*x - 0*x. Solve 6 = 4*l + 2*f, 3*f - p + 13 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*o + 445, 2*p - 76 = 4*o + 104. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (25 + -31 - (-21 + (-9 - -5 - -2))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -36, -48, -64, -84, -108, -136?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 6 + 10 + 7 = y + 17*g, -5*g = -55 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*v + 1)*(-5*v - 15*v + 91*v)*(0*v + 0*v - 2*v**2).\nAnswer: 852*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19))*3*-3*4 + -4.\nAnswer: -36*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 248628 and 0.05824146445.\nAnswer: 248628.05824146445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/2 - 38*k. Let m(y) = -y**2. Determine 4*b(o) + 28*m(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1400120 + -3?\nAnswer: -1400123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocjcojco. What is prob of picking 1 o and 3 c?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34454, 68900, 103346, 137792?\n\"Answer: 34446*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -114, -226, -382, -582, -826, -1114?\n\"Answer: -22*l**2 - 2*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)*(-6 - -10). Suppose -r + 2*a - c*a - 760008 = 0, 0 = -5*r - a - 3800004. What is r rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u - 5. Give q(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 492.54572 + 0.05428. Let s = c - 493. What is the third smallest value in -0.2, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:44 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunf when four letters picked without replacement from unnfunn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*d + 1642198 + 963631. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*l + 115 - 85, 0 = 3*l + 5*j - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 516237280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -76. What is the greatest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 2, c - 4*f + 14 = 0. Let h(b) = b**2 - 2*b - 7. What are the prime factors of h(c)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*h + 24*h + 69*h)*(-h**2 - h**2 + 3*h**2)*(-2*h + 3*h + h)*(-3 - 3 + 5).\nAnswer: -282*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28976479*2\nAnswer: -57952958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1495, -5986, -13473, -23956?\n\"Answer: -1498*i**2 + 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*o**5 + 10*o**2 + 364*o**3 - 364*o**3 wrt o.\nAnswer: -1800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1029*y**2 + 4*y - 72. Let m(q) = -1030*q**2 + 5*q - 90. Calculate 4*m(h) - 5*n(h).\nAnswer: 1025*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h. Suppose 0 = 3*q - h*q - 132. Suppose 4*k - 4*v = -0*k + q, 3*v - 45 = -3*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 5*n**2 + 6*n + 4. Let z be d(0). Let s(p) be the first derivative of 0*p + 3 - 1\/6*p**3 - 1\/8*p**z + 0*p**2. What is l in s(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-15))\/(-3*4\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/17, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.05.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (-3765)\/105)\/(36\/210).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -24*v**4 + 4*v**3 + 10*v + 4. Let s(y) = 25*y**4 - 3*y**3 - 11*y - 3. Let q(o) = 3*n(o) + 4*s(o). What is the second derivative of q(r) wrt r?\nAnswer: 336*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2397748, -2397736, -2397724?\nAnswer: -2397712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -519.46 * -131.3\nAnswer: 68205.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 248 = -223 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-49)*(-9478)\/36. Let g = o - -150. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 8*w**2 - 3*w + 10. List the prime factors of c(-13).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -4) + -4 - (846 - 847).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -76. Let f(h) = -1. Let q(u) = 4*u + 2. Let p(y) = 4*f(y) - q(y). What is the remainder when l is divided by p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:14 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 - 25*l**2 + 21. Let f(u) = -u**2. Let z(o) = -4*f(o) - p(o). What is the derivative of z(y) wrt y?\nAnswer: -9*y**2 + 58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537665 at least as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(1*sqrt(12)) + sqrt(11) + -3*(sqrt(11) + -1)**2)*3 + -4 - (3 + (sqrt(11) + sqrt(11) + -2 + (-2 + sqrt(11))**2)*-3)*1.\nAnswer: -76 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r - 1. Let o(s) = -2*s + 33. Let w be o(16). Let y(g) = 8*g + 12. Let b(m) = w*y(m) + 4*i(m). Determine a so that b(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.97 at least as big as -7.4365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 49*w + 324. List the prime factors of m(52).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 19150*v\/11 - 1786700.\nAnswer: 2*(v - 935)*(v + 10510)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*g, 7*g - 2 = -2*x + 3*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15590155 or 15590160?\nAnswer: 15590155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690199717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 270000 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 3718148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 5, -8735, -3.\nAnswer: -8735, -5, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -69. Let g = -16 - i. What is the nearest to 0 in -2, g, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:02 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-2*r**3 + 0*r**3 + 4*r**3) + 30*r**3 + 11*r**2 - 28*r**3 + 44*r**2.\nAnswer: 4*r**3 + 55*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 2*n - n)*(1 + 4 + 1)*((0 + 1 - 2)*(-8 - 3 + 2) - 5 - 5 + 8 + 5 - 3 - 4 + (-1 + 1 - 2)*(4 - 2 - 1) + 6 + 4 - 5) to k + w*n and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 5*o - 2. What is the tens digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442834\/323 + 1371. What is the smallest value in -3, 4, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 77 = w - 74, 5*p = -w - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5695*c + 691 = -6386*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -81. Let f = -7 + 23. Solve b = g + 4*k - f, 0 = g + k - 4*k + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623663878 is divided by 1179?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 245 = 242, l - 3*q - 20 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z + 15*z = 91*z + 737400. Round z to the nearest 100.\nAnswer: -30700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, o: 1, f: 1, a: 1, t: 1}. Give prob of picking 1 z, 1 f, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 4630*l + 10718450.\nAnswer: (l + 4630)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144\/7 + 114\/7*m + 4*m**2 + 2\/7*m**3.\nAnswer: 2*(m + 3)**2*(m + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63736932 - -305\nAnswer: -63736627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*b - 37*b + 66*b + 20*b)*(-b**3 - b + b) as r*b**2 + u*b**4 + l + k*b + o*b**3 and give u.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}